Answers
The equation that matches the given statement can be identified using transposition-method.
a)2 + 2y = y ⇒ Subtract 2y on both sides.
b)5(y - 4 ) = 2y ⇒ Distribute 5
c)5y = 10 - 2y ⇒ Add 2y to both sides.
d)5 = 25y ⇒ Divide both sides by 25
What is transposition-method?
Using the Transposition Method, one variable linear equations can be solved. There are situations when an equation's two sides have both constants and variables. In these situations, we first simplify the two sides into their simplest forms before transposing phrases containing variable on the RHS to the LHS and constant terms on the LHS to the RHS.
Given equations are:
2 + 2y = y
5(y - 4 ) = 2y
5y = 10 - 2y
5 = 25y
a)2 + 2y = y
to solve the equation in least number of steps, we need to Subtract 2y on both sides.
2+2y-2y=y-2y
2=-y
b)5(y - 4 ) = 2y
to solve the equation in least number of steps, we need to Distribute 5
5y - 40 =2y
c)5y = 10 - 2y
to solve the equation in least number of steps, we need to Add 2y to both sides.
5y+2y=10-2y+2y
7y=10
d)5 = 25y
to solve the equation in least number of steps, we need to Divide both sides by 25
5÷25 = 25y ÷25
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Related Questions
a laptop costs $650 after a 30% discount. what was the original price of the laptop?
Answers
Answer:
Let's assume that the original price of the laptop was "x". In any equation that is unknown and you cant figure out, you can use the equation of x.
According to the problem, the laptop costs $650 after a 30% discount. This means that the discounted price is equal to 70% of the original price:
Discounted price = 70% of original price then you divide by 100 so its
$650 = 0.7x
To solve for the original price, we can divide both sides of the equation by 0.7:
x = $650 ÷ 0.7
x = $928.57 (rounded to the nearest cent)
Therefore, the original price of the laptop was $928.57.
Answer: $928.57
Step-by-step explanation:
Price * (100%-30%) = $650
price * .7 = 650
price = 650/.7
price = 928.57
please find the meidan of 42,45,52,54,57,58
Answers
Answer: 53
Step-by-step explanation:
It's already ordered from least to greatest so find the number in the middle. That would be 52 and 54.
Find the mean/average of 52 and 54.
(52+54)/2=106/2=53
A new social media site is increasing its
user base by approximately 4% per month.
If the site currently has 25,610 users,
what will the approximate user base be 7
months from now?
Answers
1st month will be.
25,610 ×104/100=26,634.4
2nd month.
26,634×104/109=27,699.776
3rd month.
Multiply the answer in the second month by 104/100
4th month.
Multiply the answer in the third month by 104/100
5th month.
Multiply the answer in the second month by 104/100
Until the 7 th month...
Answer will be =33,701 users
An unknown number x is at most 10. Which graph best represents all the values of x? (1 point)
Number line graph with closed circle on 10 and shading to the right.
Number line graph with open circle on 10 and shading to the right.
Number line graph with open circle on 10 and shading to the left.
Number line graph with closed circle on 10 and shading to the left.
Answers
Answer:
It's D it's correct
Step-by-step explanation:
Find an equation in slope-intercept form for the line: slope = 3/4 , y-intercept = -5
Answers
In the Choosy Shopper supermarket, 60% of the bananas in a display stack are ripe. There are 36 ripe bananas. How many total bananas are in the stack?
Answers
There are 60 total bananas in the stack.
Finding the number of bananas:Using algebra to translate the problem statement into an equation. Represent the total number of bananas in the stack with a variable, and we use the fact that 60 percent of the bananas are ripe to set up the equation 0.6x = 36.
Here we have
In the Choosy Shopper supermarket,
60% of the bananas in a display stack are ripe.
There are 36 ripe bananas.
Let's assume that the total number of bananas in the stack is "x".
We know that 60% of the bananas are ripe, so we can it in form of an equation that is
=> 60% of x = 36
=> [ 60/100 ] × x = 36
=> 0.6x = 36
To solve for x, we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.6:
=> x = 36 / 0.6
=> x = 60
Therefore,
There are 60 total bananas in the stack.
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divide the rational expressions
Answers
The solution is:
The correct options are;
Adding rational expressions
Subtracting rational expressions
When adding or subtracting rational numbers, the denominators of the fractions representing the numbers should be equal
Therefore, when adding two or more rational expressions together, the following steps are required;
1) Looking for the Lowest Common Denominator
2) Finding the product of the quotient obtained from dividing the LCD by the denominator of a fraction and the numerator of the fraction
3) Placing the sum (or differences) of the products obtained in the above step as the numerator, while the LCD remain denominator
4) Simplifying the numerator in the above step
5) The faction so obtained, is the sum or difference of two or more rational expressions.
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complete question:
Which of the following problem types require you to find the LCD? (choose ALL that apply)
multiplying rational expressions
multiplying rational expressions
dividing rationals expressions
dividing rationals expressions
adding rational expressions
adding rational expressions
subtracting rational expressions
subtracting rational expressions
solving rational equations
1) The school that Emily goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 senior citizen tickets and 7 student tickets for a total of S112. The school took in $103 on the second day by selling 4 senior citizen tickets and 7 student tickets.
What is the price each of one senior citizen ticket and one student ticket?
2) The school that Jack goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 adult tickets and 6 student tickets for a total of $48. The school took in $30 on the second day by selling 3 adult tickets and 3 student tickets. What is the price each of one adult ticket and one student ticket?
3) Ashley and Asanji each improved their yards by planting hostas and shrubs. They bought their supplics from the same store. Ashley spent $42 on 3 hostas and I shrub. Asanji spent $82 on 7 hostas and I shrub. What is the cost of one hosta and the cost of one shrub?
4) Ashley and Kali cach improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Ashley spent $52 on 1 daylily and 5 bunches of omamental grass. Kali spent $100 on 5 daylilies and 5 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
5) Dan and Kali cach improved their yards by planting daylilies and omamental grass. They boug their supplies from the same store. Dan spent $50 on 8 daylilies and 6 bunches of ornamental grass. Kali spent $22 on 1 daylily and 6 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
6) The senior classes at High School A and High School B planned separate trips to the state fair.
The senior class at High School A rented and filled 3 vans and 3 buses with 183 students. High School B rented and filled 12 vans and 5 buses with 347 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
7) DeShawn and Darryl are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough. DeShawn sold 1 package of sugar cookie dough and 11 packages of double chocolate cookie dough for a total of S138. Darryl sold 12 packages of sugar cookie dough and 8 packages of double chocolate cookie dough for a total of $168. What is the cost each of one package of sugar cookie dough and one package of double chocolate cookie dough?
8) Darryl and Ashley are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Darryl sold 2 bags of windflower bulbs and 4 bags of daffodil bulbs for a total of $64. Ashley sold 4 bags of windflower bulbs and I bag of daffodil bulbs for a total of $44. Find the cost each of one bag of windflower bulbs and one bag of daffodil bulbs.
9) Abhasra and Mark cach improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Abhasra spent $101 on 12 fP of grass sod and 7 pots of ivy. Mark spent $116 on 3 ft? of grass sod and 10 pots ofivy. Find the cost of one ft? of grass sod and the cost of one pot of ivy.
10) The school that Perry goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 adult tickets and 5 child tickets for a total of $36. The school took in $8 on the second day by selling I adult ticket and I child ticket. What is the price each of one adult ticket and one child ticket?
Answers
For the linear equations:
One senior citizen ticket costs $3, and one student ticket costs $13.A single adult ticket costs $6, while a single student ticket costs $2.A single hosta costs $10, whereas a single shrub costs $12.One bundle of decorative grass costs $3, whereas one daylily costs $2.One bundle of decorative grass costs $9, whereas one daylily costs $7.There are 21 pupils each van and 45 students every bus.Two packages of cookie dough, one for sugar cookies and one for double chocolate, cost $6 and $12 respectively.One bag of daffodil bulbs costs $8, whereas one bag of windflower bulbs costs $12.$5 will buy you one foot of grass sod, and $11 will get you one pot of ivy.A single adult ticket costs $4, while a single kid ticket costs $4.How to determine cost?1. Let the price of one senior citizen ticket be $x and the price of one student ticket be $y. Set up the following system of equations:
7x + 7y = 112
4x + 7y = 103
Solving for x and y:
x = $3
y = $13
Therefore, the price of one senior citizen ticket is $3 and the price of one student ticket is $13.
2. Let the price of one adult ticket be $x and the price of one student ticket be $y. Set up the following system of equations:
3x + 6y = 48
3x + 3y = 30
Solving for x and y:
x = $6
y = $2
Therefore, the price of one adult ticket is $6 and the price of one student ticket is $2.
3. Let the cost of one hosta be $x and the cost of one shrub be $y. Set up the following system of equations:
3x + y = 42
7x + y = 82
Solving for x and y:
x = $10
y = $12
Therefore, the cost of one hosta is $10 and the cost of one shrub is $12.
4. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:
x + 5y = 52
5x + 5y = 100
Solving for x and y:
x = $7
y = $9
Therefore, the cost of one daylily is $7 and the cost of one bunch of ornamental grass is $9.
5. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:
8x + 6y = 50
x + 6y = 22
Solving for x and y:
x = $2
y = $3
Therefore, the cost of one daylily is $2 and the cost of one bunch of ornamental grass is $3.
6. Let the number of students each van can carry be x and the number of students each bus can carry be y. Set up the following system of equations:
3x + 3y = 183
12x + 5y = 347
Solving for x and y:
x = 21
y = 45
Therefore, each van can carry 21 students and each bus can carry 45 students.
7. Let the cost of one package of sugar cookie dough be $x and the cost of one package of double chocolate cookie dough be $y. Set up the following system of equations:
x + 11y = 138
12x + 8y = 168
Solving for x and y:
x = $6
y = $12
Therefore, the cost of one package of sugar cookie dough is $6 and the cost of one package of double chocolate cookie dough is $12.
8. Let the cost of one bag of windflower bulbs be $x and the cost of one bag of daffodil bulbs be $y. Set up the following system of equations:
2x + 4y = 64
4x + y = 44
Solving for x and y:
x = $8
y = $12
Therefore, the cost of one bag of windflower bulbs is $12 and the cost of one bag of daffodil bulbs is $8.
9. Let the cost of one foot of grass sod be x and the cost of one pot of ivy be y. Then write two equations based on the given information:
12x + 7y = 101
3x + 10y = 116
Solving for x and y:
x = 5
y = 11
Therefore, the cost of one foot of grass sod is $5 and the cost of one pot of ivy is $11.
10. Let the price of one adult ticket be x and the price of one child ticket be y. Then write two equations based on the given information:
4x + 5y = 36
x + y = 8
Solving for x and y:
x = 4.
y = 4.
Therefore, the price of one adult ticket is $4 and the price of one child ticket is $4.
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Henry’s car averages 8 gallons of gasoline to travel 320 miles. At this rate, how many miles would he be able to drive if he purchased 24 gallons of gas?
Answers
Henry would be able to drive 960 miles if he purchased 24 gallons of gas.
Given that Henry's car uses 8 liters of gasoline on average to cover 320 miles.
Let x miles be able to drive if he purchased 24 gallons of gas.
According to the question, the ratio can be calculated as:
320 miles : 8 gallons = x miles : 24 gallons
⇒ 320/8 = x/24
⇒ (8)(x) = (24)×(320)
Divide each side by 8 to get,
⇒ x = (24)×(320)/(8)
⇒ x = 960
Therefore, he would be able to drive 960 miles if he purchased 24 gallons of gas.
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when adding, subtractingn multiypling and dividing with exponents, do the bases have to be the same?when multiplying, what is done with the exponents?How about dividing?what about (X^A) ^A?what about (X/Y) ^ AX^-AX^A/B
Answers
Answer:
Step-by-step explanation:
Yes the bases must be the same
If you multiply, add the exponents. Ex: x² * x³ = [tex]x^{5}[/tex]
When dividing, subtract. Ex. [tex]\frac{x^{6} }{x^{2} }[/tex] = [tex]x^{4}[/tex]
When it's to the power to the power, multiply exponents Ex. [tex](x^{5} )^{2} = x^{10}[/tex]
[tex](\frac{x}{y} )^({ax-ax} )^{a/b} = (\frac{x}{y} )^{(0)} =1[/tex] anything to the 0 power is 1
It's not clear what your last question part was.
what is meant by pseudorandom numbers?a sequence of numbers, or any digital data satisfying one or more statistical tests for randomness but produced by a definite mathematical procedure.what is the purpose of a simulation?to imitate random chance behavior.what is meant by a trial?each time a simulate of the answer to a question is found.what are the steps for conducting a simulation?
Answers
A series of numbers or any digital data that passes one or more statistical tests for randomness but was generated using a specific mathematical technique is known as a pseudorandom number.
Because the algorithm can repeat the sequence, it is known as "pseudo" random because the numbers are not completely random.
The difference between random and pseudorandom is thus made. For our purposes, anything is considered pseudorandom if it is statistically random. Pseudorandom indicates that it is created by an algorithm that creates a sequence of bits that seem random but are actually calculated using an algorithm.
The following characteristics of a pseudorandom sequence generator should be present: strong output sequence randomization features, speed and efficiency, reproducibility, and long period.
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Ivan said that the mean of -18, -16, +11, and +15 is positive. Without calculating the value of the mean, Norah disagreed with him. How did she know that the mean is not positive?
Answers
Answer:
Step-by-step explanation:
The middle of -16 and 11 is a negative number and the middle of -18 and 15 is a negative number. so it is weighted more to the negative numbers
Kariuki cycles 5km from his home to school and 8kim from his home to the market. A chief's camp is closer to Kariuki's home than the market but further than the school. Write a compound inequality to show the distance from Kariuki's home to the chief's camp
Answers
The compound inequality to show the distance from Kariuki's home to the chief's camp is 5 < d < 8.
What is the compound inequality?
The compound inequality is calculated as follows;
Let d be the distance from Kariuki's home to the chief's camp in kilometers.
From the question, we can deduce that;
Kariuki cycles 5km from his home to school: d > 5
Kariuki cycles 8km from his home to the market: d < 8
Therefore, the distance from Kariuki's home to the chief's camp is between 5km and 8km, but not equal to either of those values.
The compound inequality = 5 < d < 8
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Suppose a researcher compares the means of two independent groups that have the same number of participants in each group. The researcher uses the. 05 level of significance and obtains a calculated value of t of 2. 11. At least how many participants must be in each group in order to reject the null hypothesis?
Answers
To reject the null hypothesis with a calculated value of t of 2.11 at the 0.05 level of significance, there must be at least 26 participants in each group.
To calculate the sample size required to detect a significant difference at the 0.05 level of significance, we need to use a power analysis. A power analysis is a statistical method that calculates the minimum sample size required to achieve a certain level of statistical power, which is the probability of rejecting the null hypothesis when it is false.
Assuming a power of 0.8 (a commonly used level of power), we can use a power calculator or a statistical software program to determine the required sample size for the given effect size (represented by the calculated value of t) and significance level.
By using an online calculator, we can find that a sample size of at least 26 participants per group would be required to detect a difference with an effect size of 0.5 (which corresponds to a calculated value of t of 2.11) at the 0.05 level of significance with 80% power.
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Find the volume of the pyramid and round to the nearest tenth.
A) 33.3cm^3
B) 37.5cm^3
B) 66.7cm^3
D) 100cm^3
Answers
The volume of the pyramid is 33.3 cm³.
How to find the volume of a pyramid?The diagram above is a triangular pyramid. The volume of the triangular pyramid can be calculated as follows:
volume of triangular pyramid = 1 / 3 × base area × height
base area = 1 / 2 bh
base area = 1 / 2 ×5 × 5
base area = 25 / 2
base area = 12.5 cm
volume of triangular pyramid = 1 / 3 × 12.5 × 8
volume of triangular pyramid = 100 / 3
volume of triangular pyramid = 33.3333333333
volume of triangular pyramid = 33.3 cm³
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The graph of A ABC has coordinates A(-3, 4), B(1, 4), and C(3, 1). In integers
Answers
The coordinates of point D, given the graph of ABC can be found to be
How to find the coordinates of the point ?To fin the coordinates of D, you first need to find the distance between the points A and C.
You can also use the midpoint formula which combines the distance formula with the midpoint formula as:
= ((x1 + x2) / 2, (y1 + y2) / 2)
The coordinates of Point D would be:
D = ((-3 + 3) / 2, (4 + 1) / 2)
= (0 / 2, 5 / 2) = (0, 2.5)
D = (0, 2.5).
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The full question is:
The graph of A ABC has coordinates A(-3, 4), B(1, 4), and C(3, 1). In integers find the coordinates of point D if A, B, and C are the vertices of a triangle and D is the midpoint of segment AC.
suppose the confidence interval was (5.68, 7.92). what is the correct interpretation of this interval? group of answer choices the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92 we are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68 and 7.92. we are 95% confident that the true slope for the relationship between weight and number of gogles for our sample of piknits lies between 5.68 and 7.92. there is a 95% chance that the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92.
Answers
The confidence interval between 5.68 and 7.92 should be interpreted as "we are 95% confident that the true slope for the association between weight and number of goggles for our sample of piknits lies between 5.68 and 7.92."
A defined degree of confidence, usually 95% in most applications, was used to generate the interval using the sample data. The interpretation of this range is that, for our population of piknits, there is a 95% probability that the true slope of the relationship between weight and goggles falls between 5.68 and 7.92.
Decision-makers who must estimate the true population parameter based on a sample can benefit greatly from the knowledge provided by this interval.
It also emphasizes the significance of selecting the sample size and level of confidence with care to guarantee the precision of the interval.
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Reflect (-5, 4) across the y-axis.
Then reflect the result across the x-axis.
Answers
Projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
What is the coordinate point?The center of the coordinate system and the intersection of the lines and called the origin. The axes intersect when both x and y are zero. The coordinates of the starting point are (0, 0). An ordered pair contains the coordinates of a point in a single coordinate system.
To reflect a point across the y-axis, we cancel its x-coordinate, leaving its y-coordinate unchanged. So reflecting the point (-5, 4) across the y-axis gives the point (5, 4).
To reflect a point across the x-axis, we cancel its y-coordinate and leave its x-coordinate unchanged. Thus, reflecting the point (5, 4) across the x-axis results in the point (5, -4).
Therefore, projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).
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x is a normally distributed random variable with a mean of 24 and a standard deviation of 6. The probability that x is less than 11.5 is:__________
a. 0.9814.
b. 0.0076.
c. 0.9924.
d. 0.0186.
Answers
D, the probability that x is less than 11.5 is 0.0186
To solve this problem, you need to find the probability that x is less than 11.5 given that x is a normally distributed random variable with a mean of 24 and a standard deviation of 6. Follow these steps:
1. Calculate the z-score: z = (x - mean) / standard deviation
z = (11.5 - 24) / 6
z = -12.5 / 6
z ≈ -2.083
2. Use a z-table or calculator to find the probability corresponding to the z-score. For a z-score of -2.083, the probability is approximately 0.0186.
Therefore, the probability that x is less than 11.5 is 0.0186, which corresponds to answer choice (d).
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B If RP = 6, FS = 4, and RT = 12, what is the length of segment PQ? R P S 12
Answers
The length of segment PQ is equal to 6 units.
What is the Tangent Secant Theorem?In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.
By applying the Tangent Secant Theorem to this circle, we have the following:
RT × RS = QR × RP
12 × 4 = QR × 6
QR = 48/6
QR = 8 units.
PQ + RP = QR
PQ + 2 = 8
PQ = 8 - 2
PQ = 6 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
4x9= 15
x = [?]
Solve the following
Answers
use benchmark to compare 4/5 and 0.9
Answers
The comparison of the values 4/5 and 0.9 using a benchmark of 1 indicates that 0.9 > 4/5
What is a benchmark?A benchmark is a point of reference to which two or more quantities can be compared such that it can be used to provide a values guagemark indication
A benchmark that is commonly used is 1
Therefore;
Converting 4/5 into decimals, to be in the same format as 0.9, we get;
4/5 = 0.8
The numbers 0.8 and 0.9, compared with 1 indicates that
1 is larger than 0.8 and 0.9 and 0.9 is closer to 1 in value than 0.8, therefore;
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Pls help 50 points
17. CONDIMENTS A number of people in a park were asked to name their favorite condiment for hot dogs. The results
are shown in the circle graph. What was the second most popular hot dog condiment?
Answers
Answer:
mustard
Step-by-step explanation:
Which description is paired with its correct expression?
O two less than the quotient of a number cubed and four, increased by eight;
2-
O six times the difference of five and a number squared; 6(n² – 5)
7³
4
3+
O three more than the quotient of nine and a number cubed, decreased by two;
O twice the difference of a number squared and three; 2n²-3
+8
9
2
Answers
The correct pairing of description and expression is B. six times the difference of five and a number squared, 6(n² - 5)
How to find the correct pairing ?The correct pairing is six times the difference of five and a number squared because it accurately shows how the expression would look like at 6 (n² - 5)
.
The difference between five and a number squared would be shown as :
= n² - 5
Then when six multiplies this difference, the full thing becomes :
= 6 (n² - 5)
In conclusion, the correct answer is B.
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help me please I need the answers can you do it please I need your help if your help I would really appreciate it
Answers
The above is an analysis of functions.
A) See the graph attached
1) This is a growth function
2) the asymptote is at y = -3
3) the domain is a real number
4) Range is ≥ -3
5) Y-intercept is (0, -11/4)
B) See attached graph.
1) this is a decay function
2) y=3 is the horizontal asymptote of the function
3) domain is a real number
4) Range ≤ 3
5) y-intercept is 5
A) The formula for f(x) is 4( x-1)- 3 is an exponential function with an exponent of (x- 1) and a base of 4 . Given that the base is bigger than 1, it is therefore, a growth function.
The function's horizontal asymptote is y = -3. The function may accept any value greater than or equal to -3 and is defined for all real numbers. The function's y-intercept is -11/4.
B) The function f( x) = 2(1/2)^x + 3 is an exponential function with a base of 1/2 and an exponent of x.
Considering that the base is smaller than 1 , it is a decay function. The function's horizontal asymptote is y = 3. The function may accept any value that is less than or equal to 3 and is defined for all real numbers. The function's y-intercept is 5.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on yellow, P(not yellow).
0.325
0.625
0.750
0.875
Answers
Answer: C .750
Step-by-step explanation:
the possibilites to not get yellow is 6
total outcomes 8
P(not yellow)=6/8 =.750
Whoever gets it right gets brainliest
Answers
Associated terms:
Cube: A three-dimensional geometric shape with six square faces, all of which are congruent (have the same size) and perpendicular to each other.Surface area: The total area of all the faces of a solid object. For a cube, this is the sum of the areas of all six faces.Square unit: The unit of measurement used for surface area, typically expressed in square inches (in^2), square centimetres (cm^2), or square meters (m^2).The formula for Calculating the Surface Area of a Cube:
[tex]SA=6s^2[/tex]
s = the side length
this formula works out as the area for a square is L x W which is the same thing (s^2)SA is a sum of areas of each face, the same area for all 6 faces, hence we multiply by 6[tex]SA=6(4in)^2 = 54inches^2[/tex]
What do you notice about the graph?
What do you notice about the equation?
Answers
All points on the graph is collinear and slope of the equation is 1 and y - intercept is 0.
What is graph?
Graphs can be represented visually as diagrams with the vertices as points or circles and the edges as lines or arrows connecting them.
Graphs can be directed or undirected depending on whether the edges have a specific direction or not. They can also be weighted meaning which each side has a numerical value or weight associated with it.Graphs have numerous applications in different fields including computer science, social sciences, physics and biology. They are used to model networks such as social networks and transportation networks and communication networks to name a few examples.
They are also used in algorithms for searching and optimization as well as in data visualization and analysis.
Here given equation is y = x.
If we compare this equation with the equation y = mx+c then we will get m = 1 and c = 0 where m is slope and y is y-intercept.
It is also clear here y and x contain same value.
In the given graph, it is clear that the line passes through (-2,-2), (-1,-1), (0,0), (1,1), (2,2) e.t.c
So, all points on the graph is collinear.
Learn more about graph here,
https://brainly.com/question/28279103
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Factor each completely and show your work.
2v^2 + 11v + 5
Answers
Answer:(2v+1)(v+5)
Step-by-step explanation:
your factors should add up to 11 and multiply to 5;
possible facotrs: 1,5
2x5=10
+1=11
yay
Using cross method
2v^2=2v x v
5=5 x 1
2v\/1
v/\5
2v x 5=10v
v x 1=v
10v+v=11v
Carol crocheted 150 caps to sell at the community center's fall festival. Carol spent $287 on yarn for the caps and she must pay
$75 for a booth space at the fall festival. If Carol sells the caps for $12 each, how many caps must she sell to make a profit and
what is the maximum profit that Carol can make?
Answers
revenue = 12x, where x is the number of caps she sells.
Her total costs are the cost of yarn plus the cost of the booth space, or:
costs = 287 + 75 = 362.
To break even, her revenue must be equal to her costs, or:
12x = 362
Solving for x, we get:
x = 30.17
Since Carol cannot sell a fractional number of caps, she must sell at least 31 caps to break even.
To calculate the maximum profit, we need to find the revenue generated by selling all 150 caps, subtract the total costs, and then round down to the nearest dollar. The revenue generated by selling all 150 caps is:
revenue = 12 * 150 = 1800
The total costs are:
costs = 287 + 75 = 362
The profit is:
profit = revenue - costs = 1800 - 362 = 1438
Therefore, the maximum profit that Carol can make is $1,438, but she must sell at least 31 caps to break even.
