Using equations, we can find that the total cards sold on Mother's Day = 1100.
What are equations?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. It is demonstrated that the expressions on the left and right are equivalent to one another.
In all mathematical equations, LHS = RHS (left hand side = right hand side) is a constant. The value of an unknown variable, or unknown quantity, can be determined through solving equations.
Here,
Let the total no. of cards sold be = x
Now 2% of cards sold = 22
We can say, 2% of x = 22
⇒ 2/100 × x = 22
⇒ x = (22 × 100)/2
⇒ x = 1100
Therefore, the total number of cards sold on Mother's Day = 1100.
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Solve the problem using your graphing calculator. Round all parameter values to the nearest hundredth. Gracie keeps track of her energy bill during the winter months. She recorded her results in the following table: Mean Temperature (°F) Electricity Bill ($) 16 143 19 164 26 141 36 118 18 172 47 50 34 121 15 275 17 250 41 75 43 211 What is the value of the correlation coefficient?
The mean temperature increases, the electricity bill decreases.
What is the scatter plots?
A scatter plot is a type of graph that is used to display the relationship between two continuous variables.
To find the correlation coefficient, we first need to plot the data points on a scatter plot. We can use a graphing calculator to do this.
Here are the steps:
Press the STAT button on your calculator.Press the EDIT button to enter the data into lists.Enter the Mean Temperature values into L1 and the Electricity Bill values into L2.Press the STAT button again, then select CALC.Choose option 4: LinReg (ax+b).Enter L1 as the X List and L2 as the Y List.Make sure the Freq setting is set to 1.Press ENTER to calculate.The calculator will display the equation of the line of best fit, as well as the correlation coefficient (r).
Using these steps, we get a correlation coefficient of approximately -0.83. Rounded to the nearest hundredth, the correlation coefficient is -0.83.
This negative correlation coefficient indicates a strong negative relationship between mean temperature and electricity bill.
Hence, the mean temperature increases, the electricity bill decreases.
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In the diagram ABC is right angle triangle horizontal ground AD is a vertical tower < BAC = 90 5 82m the length of AC and BD = 100m. Find and correct to I decimal place Find the height Find Length of DC
The measure of the length DC would be 28.9 m.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is that ABC is right angle triangle with horizontal ground AD.
We can write -
DC = 100 - 82 sin (60)
DC = 100 - 82 x √3/2
DC = 100 - 71.1
DC = 28.9 m
Therefore, the measure of the length DC would be 28.9 m.
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Daniel already snacked on a almonds. Then he snacked on another 8 almonds. Write an expression that shows how many almonds Daniel snacked on in all.
a + 8. This expression represents the total number of almonds that Daniel snacked on in all.
What is the difference between expression and equation?
An expression is a mathematical phrase that contains numbers, variables, and operations. It can be evaluated to produce a single numerical value or another expression. Expressions do not contain an equal sign (=), and they do not represent a statement that is either true or false.
An equation, on the other hand, is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and represents a statement that is either true or false. Equations typically contain variables that can take on different values, and they can be used to solve for an unknown variable by manipulating the equation using algebraic operations.
To summarize, expressions are mathematical phrases that do not contain an equal sign and can be evaluated to produce a value, while equations are mathematical statements that do contain an equal sign and represent a relationship between two expressions that is either true or false.
We can use addition to represent the total number of almonds that Daniel snacked on. If Daniel snacked on an initial amount of almonds, say "a", and then snacked on an additional 8 almonds, we can write the expression:
a + 8
This expression represents the total number of almonds that Daniel snacked on in all.
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A company estimates that 0.8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $300.
If they offer a 2-year extended warranty for $47, what is the company's expected value of each warranty sold? Round your answer to the nearest cent.
Answer: The expected value of each warranty sold can be calculated as the sum of the product of the probability of a product failing after the original warranty period and the replacement cost, and the cost of the extended warranty:
Expected value = (0.8% of $300) + ($47)
Expected value = (0.008)($300) + ($47)
Expected value = $2.40 + $47
Expected value = $49.40
Therefore, the company's expected value of each warranty sold is $49.40.
Step-by-step explanation:
What is the expression for 20 and 6
Answer:
2 ( 10 + 3 )
Step-by-step explanation:
A man wants to set up a 529 college savings account for his granddaughter. How much would he need to deposit each year into the account in order to have $80,000 saved up for when she goes to college in 15 years, assuming the account earns a 6% return.
Annual deposit: $
We can use the future value formula for an annuity to solve this problem:
FV = PMT * ((1 + r)^n - 1) / r
where:
FV is the future value of the annuity
PMT is the regular payment or deposit
r is the annual interest rate
n is the number of periods (in this case, the number of years)
We want to solve for PMT, so we can rearrange the formula to get:
PMT = FV * r / ((1 + r)^n - 1)
Plugging in the given values, we get:
FV = $80,000
r = 6% = 0.06
n = 15 years
So, the annual deposit required is:
PMT = $80,000 * 0.06 / ((1 + 0.06)^15 - 1) ≈ $3,782.58
Therefore, the man would need to deposit approximately $3,782.58 into the account each year in order to have $80,000 saved up for his granddaughter's college education in 15 years, assuming a 6% return.
Can anyone help me with this quickly?????
The table of the piecewise function is shown below and the point of maximum growth rate for the function is (8.96, 7.5)
Completing the table of the piecewise function
Given that
g(x) = x² - 1 if x ≤ 3
g(x) = x - 5 if x > 3
For values greater than 3, we use the function g(x) = x - 5;
Otherwise, we use g(x) = x² - 1
This means that
x Workings g(x)
-2 g(-2) = (-2)² - 1 3
0 g(0) = (0)² - 1 -1
1 g(1) = (1)² - 1 0
3 g(3) = (3)² - 1 8
5 g(5) = 5 - 5 0
The point of maximum growth rateGiven that
f(x) = 15/(1 + 6e⁻⁰°²ˣ)
The point of maximum growth rate for a logistics function represented as f(x) = c/(1 + ae⁻ᵇ⁺) is
t = ln(a)/b
y(t) = c/2
So, we have
t = ln(6)/0.2 = 8.96
y(t) = 15/2 = 7.5
Hence, the point is (8.96, 7.5)
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A school sells tickets to the school play through an online ticket company each ticket cost $8 and the company charges a $2.50 processing fee per order write an equation to represent the relationship between the number of tickets bought t and the total cost c with an equation
Answer:
c = 8t + 2.5
Step-by-step explanation:
The total cost c of buying t tickets is given by:
c = 8t + 2.5
Answer:
The total cost of buying t tickets can be represented by the equation:
c = 8t + 2.50
Where:
c is the total cost in dollars
t is the number of tickets bought
Can someone please help me with this math problem, ASAP?
The expression for the quadratic function can be written as:
g(x + a) - g(x) = 4ax + 2a² - 4a
How to determine the expression?Here we want to find the expression:
g(x + a) - g(x)
For the quadratic function:
g(x) = 2x² - 4x
So just let's evaluate the function in these values, we will get:
g(x + a) =2*(x + a)² - 4*(x + a)
Expanding that we will get:
= 2(x² + 2ax + a²) - 4x - 4a
= 2x² + 4ax + 2a² - 4x - 4a
Subtracting the original equation we will get:
g(x + a) - g(x) = 2x² + 4ax + 2a² - 4x - 4a - 2x² - 4x
= 4ax + 2a² - 4a
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What is the area of this complex figure?
178 m²
128 m²
30 m²
20 m²
Answer: 164
Step-by-step explanation: (16 X 8) + (6 X 5)+ (^^triang)+ 164
The cafeteria makes peanut butter and jelly sandwiches on Wednesday. There are 4 1/2 cups in one jar of peanut butter. There are 3 1/3 cups in one jar of jelly. At the end of the day the cafeteria has used 3 1/2 jars of peanut butter and 2 1/6 jars of jelly. How many cups of peanut butter has the cafeteria used?
Answer: 15 3/4 cups
In order to figure out how much peanut butter they have used we must multiply our amount by the number used.
4 1/2 times 3 1/2 can also be written as 4.5 and 3.5, respectively.
So our equation would be 4.5 x 3.5
4.5 x 3.5 is 15.75
The number .75 can be written as the fraction 3/4, since 75 is 3/4th of 100.
This means the cafeteria used 15 3/4 cups of peanut butter.
I hope this helped & Good Luck <3 !!!
To calculate the amount of peanut butter used, multiply the number of jars (3 1/2) by the quantity in each jar (4 1/2 cups). This equals 15 3/4 cups of peanut butter.
Explanation:To find out how many cups of peanut butter the cafeteria has used, we need to multiply the number of jars used by the number of cups in each jar. We know that there are 4 1/2 cups in one jar of peanut butter and the cafeteria has used 3 1/2 jars. So, we multiply 4 1/2 by 3 1/2 to get the total number of cups used.
This can be done by converting the mixed fractions to improper fractions: 4 1/2 becomes 9/2 and 3 1/2 becomes 7/2. Multiplying these gives 63/4, which converts back to the mixed number 15 3/4.
So, the cafeteria has used 15 3/4 cups of peanut butter.
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In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.
What is the average number of siblings for this group?
Enter your answer as a decimal, rounded to the nearest tenth, in the blank.
Answer:
1.3
Step-by-step explanation:
To find the average number of siblings for the group, we need to calculate the total number of siblings and divide by the total number of children.
Out of the 15 children:
5 are only children, so they have 0 siblings each.
3 have 1 sibling each, so there are 3 * 1 = 3 siblings in total.
4 have 2 siblings each, so there are 4 * 2 = 8 siblings in total.
3 have 3 siblings each, so there are 3 * 3 = 9 siblings in total.
The total number of siblings is 0 + 3 + 8 + 9 = 20.
The average number of siblings for the group is 20/15 = 1.3 (rounded to the nearest tenth).
Therefore, the average number of siblings for this group is 1.3.
Answer:
1.3
Step-by-step explanation:
Help pls… I can’t again… btw there is 2 pages
The divisions of the polynomials are listed below:
- m² · n + m - 1 - x² · y² - 3 · x · y + 9 a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵ 5 · p - 7 · q / r + 4 · r 9 · m³ · n² + 2 · m² · n - 8 · m - 6 · x - 1 + 1 / (x · y) (1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z 4 · p² · q + 1 + 3 · p · q² - b + 2 · a · b⁴ - 15 · a² · b² - y² + y + z - z²How to divide a polynomial by a monomial
In this problem we can determine the division of a polynomial by a monomial through the use of distributive property, whose definition is shown below:
a · (b + c) = a · b + a · c
Now we proceed to show the solution to each case without prejudice to other algebra properties:
Case 1:
m³ · n² - m² · n + m · n
- m · n · (- m² · n) - m · n · m - m · n · (- 1)
- m · n · (- m² · n + m - 1)
Result: - m² · n + m - 1
Case 2:
3 · x³ · y³ + 9 · x² · y² - 27 · x · y
- 3 · x · y · (- x² · y² - 3 · x · y + 9)
Result: - x² · y² - 3 · x · y + 9
Case 3:
18 · a⁵ · b⁴ · c² - 54 · a³ · b⁶ · c⁴ - 108 · a² · b⁸ · c
18 · a² · b³ · c · (a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵)
Result: a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵
Case 4:
5 · p² · q · r - 7 · q² · r + 4 · p · q · r²
p · q · r · (5 · p - 7 · q / r + 4 · r)
Result: 5 · p - 7 · q / r + 4 · r
Case 5:
81 · m⁵ · n³ + 18 · m⁴ · n² - 72 · m³ · n
9 · m² · n · (9 · m³ · n² + 2 · m² · n - 8 · m)
Result: 9 · m³ · n² + 2 · m² · n - 8 · m
Case 6:
6 · x³ · y² + x² · y² + 35 · x · y
- x² · y² · [- 6 · x - 1 + 1 / (x · y)]
Result: - 6 · x - 1 + 1 / (x · y)
Case 7:
x² · y · z + x · y² · z - 3 · x · y · z
3 · x · y · z² · [(1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z]
Result: (1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z
Case 8:
12 · p⁵ · q² + 3 · p³ · q + 9 · p⁴ · q³
3 · p³ · q · (4 · p² · q + 1 + 3 · p · q²)
Result: 4 · p² · q + 1 + 3 · p · q²
Case 9:
5 · a² · b² · c² - 10 · a³ · b⁵ · c² + 75 · a⁴ · b³ · c²
- 5 · a² · b · c² · (- b + 2 · a · b⁴ - 15 · a² · b²)
Result: - b + 2 · a · b⁴ - 15 · a² · b²
Case 10:
y³ · z - y² · z - y · z² + y · z³
- y · z · (- y² + y + z - z²)
Result: - y² + y + z - z²
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Triangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at negative 8 comma 1, 0 comma 1, negative 4 comma 5 Determine the coordinates of the image if triangle ABC is translated 8 units to the right. A′(−14, 1), B′(−8, 1), C′(−12, 5) A′(−6, 9), B′(0, 9), C′(−4, 13) A′(0, 1), B′(8, 1), C′(4, 5) A′(2, −7), B′(8, −7), C′(4, −3)
The cοοrdinates οf the image if triangle ABC is A′(0, 1), B′(8, 1), C′(4, 5).
What is Triangle?A triangle is a clοsed, twο-dimensiοnal geοmetric figure with three straight sides and three angles. It is οne οf the basic shapes in geοmetry.
A triangle is a pοlygοn with three edges and three vertices. It belοngs tο the basic geοmetric shapes. A triangle with vertices A, B, and C is knοwn as triangle ABC. Any three pοints in Euclidean geοmetry that are nοt cοllinear result in a distinct triangle and a distinct plane.
The cοοrdinates οf the image if triangle ABC is translated 8 units tο the right are:
A′(0, 1), B′(8, 1), C′(4, 5).
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Help me do this thing for a math project
Answer:10
Step-by-step explanation:3x2=6 and 4x1=4 4+6=10
Answer:
See below
Step-by-step explanation:
Perimeter = (7x2) + (2x2) = 18
Area (L x W) = Square + rectangle
= (3x2) + (4x1) = 6 + 4 = 10
Solve the problem.
Four students used different methods to approximate the diagonal distance across the middle school gym. The students and their measurements are shown in the following table. Calculate the decimal equivalent for each measurement rounded to the nearest hundredth yard. Write the decimal next to each worker’s name in the table
The decimal calculation for Arturo's is 18.97, Bonnie's is 20.51, Courtney's is 31.42, Dawson's is 35.00.
Describe Measurements?Measurement is the process of assigning a numerical value to a physical quantity, such as length, weight, temperature, or time. Measurements are used to quantify and compare different aspects of the world around us, and they play a crucial role in many areas of science, engineering, and everyday life.
Measurements can be made using a variety of tools and techniques, ranging from simple rulers and scales to sophisticated scientific instruments. The accuracy and precision of a measurement depend on many factors, including the quality of the measuring instrument, the skill of the person making the measurement, and the conditions under which the measurement is taken.
In order for measurements to be meaningful and useful, they must be expressed in units that are well-defined and universally accepted. The International System of Units (SI) is the most widely used system of units in the world, and it is based on seven fundamental units of measurement, including the meter for length, the kilogram for mass, the second for time, and the kelvin for temperature.
Student Measurement (yards) Decimal Calculation
Arturo 6√28 18.97
Bonnie 8√17 20.51
Courtney 10π 31.42
Dawson 3.5√100 35.00
To calculate the decimals, we can use a calculator to evaluate the square roots and π, and then multiply by the given constant factor, and round the result to the nearest hundredth yard.
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The complete question is:
If ƒ(x) = -x − 2, what is ƒ^¹ (x)?
Answer:
Step-by-step explanation:
XDXDXDXDXDXDXDXDXD get rick rolled
Pilots can make quick calculations by solving one-step equations. For instance: the distance in miles from the airport that a plane should begin descending, divided by 3, equals the plane's height above the ground in thousands of feet. If an aircraft is 10,000 feet above the ground, write and solve an equation to find the distance the pilot should begin descending.
Let d be the distance in miles from the airport that a plane should begin descending. According to the problem statement, we can write the equation:
d/3 = 10
To solve for d, we can isolate it by multiplying both sides of the equation by 3:
d = 3 * 10
Therefore, the pilot should begin descending when the plane is 30 miles from the airport.
9 How do Jaden's questions about the missing students influence the development of the plot?
Page 9
A
By causing the Puppetmaster to challenge her curiosity
B
By emphasizing the close connection between the players and the Puppetmaster
C
By persuading the teachers to begin a search for them
D By highlighting the entertainment value that the game provides each player
11133-feb 2017023 12:29 PM
00 ON
Jaden's questions about the missing students influence the development of the plot in many ways.
What is number?Number is a mathematical object used to count, measure, and label. It is one of the most fundamental concepts in mathematics and is used in all areas of mathematics, including algebra, geometry, calculus, and statistics. Numbers are used to represent quantities and can be represented in a variety of ways, such as numerals, symbols, words, and graphs. Numbers can be used to measure and compare objects, define relationships between objects, and help solve problems.
Firstly, they cause the Puppetmaster to challenge her curiosity. The mysterious disappearances of the students compel the Puppetmaster to find out why they have gone missing, and to take measures to ensure that no one else goes missing. This encourages the Puppetmaster to become more involved in the game, and creates tension between her and the other players.
Secondly, Jaden's questions emphasize the close connection between the players and the Puppetmaster. The players rely on the Puppetmaster for guidance and safety, and her actions in response to Jaden's questions demonstrate her commitment to the players' wellbeing. This serves to strengthen the bond between the players and the Puppetmaster.
Thirdly, Jaden's questions persuade the teachers to begin a search for the missing students. By raising awareness of the situation, Jaden encourages the teachers to take action to investigate the disappearances and to protect the remaining students.
Finally, Jaden's questions highlight the entertainment value that the game provides each player. Her questions demonstrate her enthusiasm for the game, which encourages the other players to play with greater enthusiasm. This serves to increase the intensity of the game, and to make the game more exciting for all involved.
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Find the value of x
Answer:
26
Step-by-step explanation:
(6x + 4) + (4x + 6) = 90
180 - (4x + 6) = (6x + 4) + 90
Rearrange the equation.
180 - (-90) = (6x + 4) + (4x + 6)
270 = 6x + 4 + 4x + 6
270 = 10x + 10
260 = 10x
26 = x
I don't know if this is correct, so I apologize if its wrong.
Answer:
x = 8
Step-by-step explanation:
According to the picture,
These given two angles are complementary. That is, those two angles are added up to 90°.
Therefore,
( 6x + 4 ) + ( 4x + 6 ) = 90
Combine like terms.
6x + 4 + 4x + 6 = 90
10x + 10 = 90
Subtract 10 from both sides.
10x = 90 - 10
10x = 80
Divide both sides by 10.
x = 8
Saritha will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of bases, b that Saritha can use to construct this rectangle?
Answer:
0<b<=12
Step-by-step explanation:
You are interested in buying a car that costs $10,000. The bank offers you an installment loan
with an interest rate of 17% over a 60-month term. What do you expect your monthly payments
to be? How much will you pay in total? How much will you pay in interest?
The monthly payments are $248.53.
The total amount that he will pay $14911.8.
The amount of interest is $4911.8
What is the interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
The formula of monthly payment is
P = [tex]\frac{r (PV)}{1-(1-r)^{-n}}[/tex]
r is the rate of interest.
PV is the present value
n is the number of terms.
The bank offers you an installment loan with an interest rate of 17% over a 60-month term. The cost of the car is $10,000.
PV = $10,000
n = 60
r = 17%/12 = 0.17/12
The monthly installment is
P = [tex]\frac{ \frac{0.17}{12}\times 10000}{1-(1- \frac{0.17}{12})^{-60}}[/tex]
P = 248.53
The monthly installment is $248.53.
Total payment is (60 ×$248.53) = $14911.8
The interest is $(14911.8 - 10000) = $4911.8
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Classify the triangle below as Right, Obtuse, or Acute
The triangles include:
4) Acute5) Obtuse6) Obtuse7) Right8) Right9) Obtuse10) ObtuseHow to classify triangles?
4) To determine if a triangle is right, obtuse, or acute, we need to use the Pythagorean Theorem to determine if the square of the longest side equals the sum of the squares of the other two sides.
Here, the longest side is 9, and the other two sides are 6 and 7.
9² = 6² + 7²
81 = 36 + 49
81 = 85
Since 81 is not equal to 85, the triangle is not a right triangle. To determine if it's obtuse or acute, we need to check the cosine of the largest angle using the Law of Cosines.
cos A = (b² + c² - a²) / 2bc
Let's choose 9 as side a, since it's the largest side:
cos A = (6² + 7² - 9²) / (84)
cos A = 0.048
Since cos A is positive, angle A is acute. Therefore, the triangle is acute.
5) Using the same process as above:
16² = 10² + 12²
256 = 100 + 144
256 = 244 + 12
Since 256 is greater than 244, the triangle is obtuse.
6) Again, using the same process as above:
(8√6)² = 8² + 16²
192 = 64 + 256
192 = 320
Since 192 is less than 320, the triangle is obtuse.
7) 29² = 20² + 21²
841 = 400 + 441
841 = 841
Since 841 is equal to 841, the triangle is a right triangle.
8) √73 is greater than 8 and 3, so it must be the largest side.
(√73)² = 8² + 3²
73 = 64 + 9
73 = 73
Since 73 is equal to 73, the triangle is a right triangle.
9) 12² = 8² + 10²
144 = 64 + 100
144 = 164 - 20
Since 144 is less than 164, the triangle is obtuse.
10) 15² = 9² + (3√34)²
225 = 81 + 306
225 = 387 - 162
Since 225 is less than 387, the triangle is obtuse.
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SOLUTION
Which ratio is equivalent to 3 : 18?
Answer:
6:36
this is when you time both by 2.
The ratio is equivalent to 3:18 is 7:42.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 3:18
= 1:6
1. 6:21
= 3:7
2. 5:20
= 1:4
3. 7:42
= 1:6
4. 12:2
= 6:1
Hence, the ratio is equivalent to 3:18 is 7:42.
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who would make the most money in one week? a head mechanic working 25 hours, an assistant mechanic working 30 hours, a sales manager working 35 hours, a front desk clerk working 40 hours?
The one making the most money in one week is by sales manager which is an amount of $1006.25.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
Given that,
Hourly rate of a head mechanic = $37.52 per hour
Number of hours worked in a week = 25 hours
Money made = 25 × 37.52 = $938
Hourly rate of a assistant mechanic = $30.42 per hour
Number of hours worked in a week = 30 hours
Money made = 30 × 30.42 = $912.6
Hourly rate of a sales manager = $28.75 per hour
Number of hours worked in a week = 35 hours
Money made = 35 × 28.75 = $1006.25
Hourly rate of a front desk clerk = $15.09 per hour
Number of hours worked in a week = 40 hours
Money made = 40 × 15.09 = $603.6
Money most made is by sales manager.
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Your question is incomplete. The complete question is given as,
Who would make the most money in one week? a head mechanic working 25 hours with an hourly rate $37.52 per hour, an assistant mechanic working 30 hours with an hourly rate $30.42 per hour, a sales manager working 35 hours with an hourly rate $28.75 per hour, a front desk clerk working 40 hours with an hourly rate $15.09 per hour?
A pet store has 4 bearded dragons and 9 geckos. What is the ratio of geckos to total reptiles?
Answer:
9 to 4
Step-by-step explanation:
Cason wants to read at least 45 books. He has already read one book. If he reads 2 books a week, how many weeks will he need to read to meet his goal? Solve a linear inequality to find the number of weeks Cason must read.
A. x < 22
B. x > 22
C. x ≤ 22
D. x ≥ 22
I need an explanation to
Cason must read for at least 22 weeks to meet his goal. The correct answer is D. x ≥ 22
Solving by InequalityLet x be the number of weeks Cason needs to read to meet his goal. In each week, he can read 2 books. Therefore, the total number of books he will read in x weeks is:
2x
Since Cason has already read one book, the total number of books he will have read after x weeks is:
2x + 1
We want Cason to read at least 45 books, so we can set up an inequality:
2x + 1 ≥ 45
Subtracting 1 from both sides, we get:
2x ≥ 44
Dividing both sides by 2, we get:
x ≥ 22
Therefore, Cason must read for at least 22 weeks to meet his goal.
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3x-1>-4 and -2x-3<1 in interval notation
This means that the solution is any x value that is less than -1 AND greater than -2.
What kind of notation is it?A good example of notation is musical notation. This kind of notation system can be used by a composer to instruct performers and listeners on how to play and hear their music. There are many different types of symbols and pictures in it.
To solve the inequality 3x - 1 > -4, we add 1 to both sides:
3x - 1 + 1 > -4 + 1
3x > -3
Then, we divide both sides by 3 (remembering to flip the inequality sign since we're dividing by a negative number):
x < -1
So the solution to 3x - 1 > -4 is x < -1.
To solve the inequality -2x - 3 < 1, we add 3 to both sides:
-2x - 3 + 3 < 1 + 3
-2x < 4
Then, we divide both sides by -2 (remembering to flip the inequality sign again):
x > -2
So the solution to -2x - 3 < 1 is x > -2.
Putting these two solutions together in interval notation, we get:
(-∞, -1) ∩ (-2, ∞)
This means that the solution is any x value that is less than -1 AND greater than -2.
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1. 10¹ =
please someone tell me the answer.
Answer: 10
Step-by-step explanation: any number to the first power is the number being multiplied
Answer: 10
Step-by-step explanation: Any number to the first power equals the same number, for example: 4 to the first power is 4, or in this case 10 to the first power = 10.
drew used these clues to describe a number he wrote.
One digit has a value of 7 x 100,000.
One digit has a value of 9 x 100
One digit has value of 8 x 0.01
Which could be the number Drew wrote?
The number that Drew wrote is 790,800.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented with symbols, such as numerals, and words, such as "three" or "three hundred." Numbers can be used to represent quantities, distances, sizes, and other measurements. In mathematics, number theory is the study of the properties of numbers, such as addition, subtraction, multiplication, and division. Number theory is also used in other sciences, such as physics and computer science.
This is determined by taking the value of each digit and multiplying it by the exponential value that Drew described. The first digit has a value of 7 x 100,000, the second digit has a value of 9 x 100, and the third digit has a value of 8 x 0.01. Therefore, the number is 790,800.
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