The solution for x is 5/2.
To solve for x, we will first simplify the expression on both sides of the equation and then isolate x on one side.
Step 1: Simplify the expression on the left side of the equation:
2(4x-3) = 8x - 6
Step 2: Simplify the expression on the right side of the equation:
10 + (-4x) + 14 = 24 - 4x
Step 3: Set the simplified expressions equal to each other:
8x - 6 = 24 - 4x
Step 4: Add 4x to both sides of the equation to isolate x on one side:
12x - 6 = 24
Step 5: Add 6 to both sides of the equation:
12x = 30
Step 6: Divide both sides of the equation by 12 to solve for x:
x = 30/12
Step 7: Simplify the fraction:
x = 5/2
Therefore, the solution for x is 5/2.
To know more about expression, refer here:
https://brainly.com/question/27951632#
#SPJ11
estimate the product of 3.8 and 11.9 by rounding
The product or multiple of 3.8 and 11.9 by rounding off (simplification) is equal to 45.22.
What is simplification in mathematics?Simplification means keeping it simple. In mathematics, it simplifies or simplifies formulas/fractions/problems into simpler forms. Simplify the problem with calculations and solutions.
Simplification generally means finding answers to complex calculations involving division, multiplication, square roots, cube roots, plus and minus numbers.
Why do we use simplification?Simplicity complicates deadpan, making it easier to understand and solve. Here are some advantages of solving a problem or equation by simplification.
It helps you solve your problem in fewer steps. Complex problems can be reduced to simpler forms by following the rules of simplification
According to the question:
3.8×11.9 = (38/10)×(119/10)
= 4522/100
= 45.22
To learn more about simplification, visit the link below
https://brainly.com/question/2804192
#SPJ1
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 54 times in 3 minutes. What is her blinking rate, in blinks per minute?
Answer: 18 blinks per minute
Step-by-step explanation: so for this you take 54 and divide it by three
54/3=18
blinks per minute=18
Answer:
18
Step-by-step explanation:
54\3=18
therefore Jan blinks 18 times per minutes
Work out the value of x?
Using angle theorems the value of x = 67.5°
What are angle theorems?Angle theorems are rules that govern the properties of angles.
Given that we have the figure and we desire to find angle x, we proceed as folllows.
Now, we notice that one angle is a right angle and it is equal to 90°.
Also, we notice that all the angles meet at the same point.
So, we have that
x + 3x + 90° = 360° (sum of angles at a point)
Solving for x, we have that
x + 3x + 90° = 360°
4x + 90° = 360°
4x = 360° - 90°
4x = 270°
x = 270°/4
x = 67.5°
So, the value of x = 67.5°
Learn more about angle theorems here:
https://brainly.com/question/28293784
#SPJ1
Math part 4 question 4
The function shown in graph is nether odd nor even function.
Explain about the odd and even function?If f(−x)=f(x) for all x with in domain of f, then a function f is even. If f(x)=f(x) for every x in f's domain, a function f is odd.
An even function has a graph that is symmetrical when compared towards the y-axis. An odd function's graph is symmetric with regard to the origin. After thought about the y-axis, the graph of the even function remains unchanged. An odd function's graph is oriented in opposite directions but is located at a comparable distance from the origin. We can visually distinguish between evenly balanced odd functions using the same criterion.In the given graph.
The graph of the function is nether increasing nor decreasing as, the y value of the function is going along both y - axis and -y axis.
Thus, the function shown in graph is nether odd nor even function.
Know more about the even function,
https://brainly.com/question/23934926
#SPJ1
Determine the determinant:
0.6 0.8 0
0.5 0 0.5
3 -5 4
The answer is 1.10, but I'm getting anything but that. I'm
crossing out the third coloumn for it but everywhere I've looked,
they cross out the fi
matrix is 0.3 x 4 = 1.10
To determine the determinant of this 3 x 3 matrix, you can use the Laplace Expansion method. First, cross out the third column and calculate the determinant of the 2 x 2 matrix that remains:
0.6 0.8
0.5 0
The determinant of this 2 x 2 matrix is 0.6 x 0 - 0.8 x 0.5 = 0.3.
Next, multiply this result by the last element of the third column, which is 4. So the determinant of the 3 x 3 matrix is 0.3 x 4 = 1.10.
Learn more about Laplace Expansion method
brainly.com/question/12972484
#SPJ11
Please help i got reset on the app
Write 3 3/4 feet as a single fraction greater than one.
As part of an ongoing service project, the students at Arlington High School recently spent an afternoon planting trees. They planted an average of 4 trees per participant. Soon they plan to do some more planting, averaging 2 trees per participant. If everything goes as planned, what will be the percent of decrease in the average number of trees planted?
Answer:
50%
Step-by-step explanation:
percent change = (new number - old number)/(old number) × 100%
Here, the new number is 2.
The old number is 4.
percent change = (2 - 4)/(4) × 100%
percent change = -2/4 × 100%
percent change = -50%
Since the percent change is negative, it's a percent decrease.
The percent decrease is 50%.
If someone could help I would really appreciate it. The scale on a map is 1: 200,000. The length of a road on the map is 4 cm What is the length of the road in real life? Give your answer in kilometres.
Answer: If the ratio is 1:200,000 then the length of the road in centimeters is 800,000 centimeters meaning the conversion of this to kilometers would be 8 kilometers
Step-by-step explanation: every 100k (100,000) cm in kilometers would be 1 kilometer so take that and for the 200,000 times 4 is 800,000 which means the answer is 8 kilometers
________________________________________________________
Vertical stretch by a factor of 4
Translation 5 units right
Reflection over the x-axis
The given transformations are vertical stretch by a factor of 4, translation 5 units right, and reflection over the x-axis. We can apply these transformations to a function f(x) in the following way:
1. Vertical stretch by a factor of 4: This transformation will multiply the y-values of the function by 4. The new function will be g(x) = 4f(x).
2. Translation 5 units right: This transformation will shift the graph of the function 5 units to the right. The new function will be h(x) = g(x - 5) = 4f(x - 5).
3. Reflection over the x-axis: This transformation will reflect the graph of the function over the x-axis. The new function will be k(x) = -h(x) = -4f(x - 5).
Therefore, the final transformed function will be k(x) = -4f(x - 5).
Know more about transformation here:
https://brainly.com/question/28327649
#SPJ11
A committee of size 10 is to be selected from a group of 10 men and 20 women. If the selection is made randomly,
1. In how many ways can this be done?
2. What is the probability that the committee consists of 5 men and 5 women?
3. What is the probability that there is no woman in the committee?
If the selection is made randomly, there are 30045015 ways to select a committee of size 10 from a group of 10 men and 20 women. The probability that the committee consists of 5 men and 5 women is 0.129. The probability that there is no woman in the committee is 0.000000033.
1. The total number of ways to select a committee of size 10 from a group of 10 men and 20 women is given by the combination formula:
C(n,k) = n! / (k! * (n-k)!)
Where n is the total number of people (10 men + 20 women = 30) and k is the size of the committee (10).
C(30,10) = 30! / (10! * (30-10)!)
C(30,10) = 30! / (10! * 20!)
C(30,10) = 30045015
Therefore, there are 30045015 ways to select a committee of size 10 from a group of 10 men and 20 women.
2. The probability that the committee consists of 5 men and 5 women is given by:
P(5 men and 5 women) = C(10,5) * C(20,5) / C(30,10)
P(5 men and 5 women) = (10! / (5! * 5!)) * (20! / (5! * 15!)) / (30! / (10! * 20!))
P(5 men and 5 women) = (252 * 15504) / 30045015
P(5 men and 5 women) = 0.129
3. The probability that there is no woman in the committee is given by:
P(no woman) = C(10,10) * C(20,0) / C(30,10)
P(no woman) = (10! / (10! * 0!)) * (20! / (0! * 20!)) / (30! / (10! * 20!))
P(no woman) = (1 * 1) / 30045015
P(no woman) = 0.000000033
Therefore, the probability that there is no woman in the committee is 0.000000033.
Learn more about probability at https://brainly.com/question/15584918
#SPJ11
4. Consider an isosceles triangle A ABC with base BC and ABC = 75°. We constructs points M on AC and N, P on AB so that BC = MB = PM and MN || BC. (a) Find BMN. (b) Find AMP. Justify your claims. A P
Answer:4. (a) BMN = 75°(b) AMP = 105°Explanation:Given that ABC is an isosceles triangle with base BC, and ABC = 75°. Also, BC = MB = PM and MN || BC.(a) To find BMN, we can use the fact that MN || BC. This means that ∠BMN = ∠ABC = 75°. Therefore, BMN = 75°.(b) To find AMP, we can use the fact that BC = MB = PM. This means that triangle BMP is an isosceles triangle with base MP. Since BMN = 75°, we can find ∠BMP by using the fact that the sum of the angles in a triangle is 180°:∠BMP = (180° - 75°)/2 = 52.5°Now, we can find AMP by using the fact that the sum of the angles in a triangle is 180°:AMP = 180° - 75° - 52.5° = 52.5°Therefore, AMP = 105°.
(a) The angle BMN is 30°.
(b) The angle AMP is 15°.
The total angle of a triangle is 180°.
How to find the angle in a triangle?We have an isosceles triangle ABC with base BC and ∠ABC is 75°. We construct point M on AC and N, P on AB. It makes BC = MB = PM and MN || BC.
Since ABC is an isosceles triangle, ∠ACB is also 75°. See the picture attached!
Since BC = MB, the triangle MBC is isosceles with base MC. So, BMC is 75°.
The angles of triangle MBC will sum up to 180°. So,
∠MBC = 180 - (75 + 75) = 30°
The angle BMN and MBC is alternate interior angles, so
∠BMN = ∠MBC = 30°
Now, we have ∠NBM = 75 - 30 = 45°. Since MB = PM, it makes BMP an isosceles triangle. The angle BPM will be the same with PBM. It is 45°.
The angle PMN will be
= 180 - (45 + 45 + 30)
= 60°
The angle CMB, BMN, NMP, and AMP are supplementary. So, the angle AMP is
= 180 - (75 + 30 + 60)
= 15°
Learn more about angle of a triangle here:
brainly.com/question/30381855
#SPJ11
Question 19 If $50,000 is invested in an account earning 5% compounded continuously, determine how long it will take the money to Wruble Write vour answer as an exact value.
It will take approximately 13.86 years for the money to double when it is invested in an account earning 5% compounded continuously.
To find out how long it will take for the money to double, we can use the formula for continuous compounding: A = Pe^(rt), where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.
We are given that P = $50,000, r = 5%, and A = 2P = $100,000. We need to solve for t.
Plugging in the given values, we get:
$100,000 = $50,000e^(0.05t)
Dividing both sides by $50,000, we get:
2 = e^(0.05t)
Taking the natural logarithm of both sides, we get:
ln(2) = 0.05t
Solving for t, we get:
t = ln(2)/0.05
t ≈ 13.86 years
Therefore, it will take approximately 13.86 years for the money to double when it is invested in an account earning 5% compounded continuously.
Learn about Account earning
brainly.com/question/12530252
#SPJ11
What is the area of the circle? Use pi = 22/7. A. 201 1/7 in2 B. 56 4/7 in2 C. 28 2/7 in2 D. 254 4/7 in2
The correct answer is B. 56 4/7 in². This is determined by multiplying 22/7 by the square of the radius, which is 4 in this case. The answer is equal to 56 4/7 in².
What is area of a circle?The area of a circle is calculated by the formula A=πr2, where r is the radius of the circle. Therefore, to determine the area of a circle, one must know the radius of the circle. Once the radius is known, the area of the circle can be determined by multiplying pi (π) by the radius squared (r2).
The area of a circle is equal to pi multiplied by the square of the radius of the circle. Pi is equal to 22/7, so the area of the circle can be calculated by multiplying 22/7 by the square of the radius. The correct answer is B. 56 4/7 in².
This can be calculated by multiplying 22/7 by the square of the radius, which is 4 in this case. 22/7 multiplied by 4 squared is equal to 56 4/7 in².
To summarize, the correct answer is B. 56 4/7 in2. This is determined by multiplying 22/7 by the square of the radius, which is 4 in this case. The answer is equal to 56 4/7 in².
For more questions related to area,
https://brainly.com/question/28062041
3SPJ1
Select the correct answer.
What is the end behavior of this radical function?
f(x) = 3√x-4
As x approaches positive infinity, f(x) approaches positive infinity.
As x approaches negative infinity, f(x) approaches positive infinity.
As x approaches positive infinity, f(x) approaches negative infinity.
As x approaches negative infinity, f(x) approaches 0.
Answer:
The correct answers are:
As x approaches positive infinity, f(x) approaches positive infinity.
As x approaches negative infinity, f(x) approaches 0.
Step-by-step explanation:
A-the mean of 10 numbers is 27. What is the sum of the numbers
B-if 5 is added to each number. What is the sum of new set of numbers
C-what is the mean is the new set of numbers
The sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.
The mathematical average of a group of two or more numbers is arithmetic mean, add the numbers in a set together and divide by the total number of numbers in the set.
Here the mean of 10 number is 27. We know that ,
[tex]mean=\frac{sum of numbers}{total numbers}\\[/tex]
[tex]27= \frac{sum of numbers}{10}[/tex]
=sum of numbers = 27*10=270.
Now 5 added to each number, we need to add 5 in 10 times( because 10 total number), Then 5*10=50.
Sum of numbers after adding 5 to each number [tex]270+50=320[/tex]
Now, [tex]mean=\frac{320}{10}=32[/tex]
To learn more about arithmetic mean refer the below link
brainly.com/question/30214653
#SPJ4
ANSWER FAST BECUASE I NEED THE ANSWER FASTTTTTTTTTTTTT
Answer: 112°
Step-by-step explanation:
The angles are supplementary so add to 180°
(2x) + (3x + 10) = 180
Combine Like Terms leaves:
5x + 10 = 180
Subtract 10 from each side:
5x = 170
Divide 5 on each side:
x = 34
Plug x into the large angle
3(34) + 10
Solve:
102 + 10 = 112
The large angle is 112°
Hope this helps!
PLEASE HELP ASAP
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, how many oz would be in each dish?
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, each dish would have 3.67oz of food.
To find out oz would be in each dish, we need to divide the total amount of food the dog needs to eat daily (11oz) by the number of dishes (3). This will give us the amount of food in each dish.
Here's the math:
11oz ÷ 3 dishes = 3.67oz per dish
So, each dish would have 3.67oz of food.
Learn more aout food at https://brainly.com/question/21946514
#SPJ11
For each of the following statements, indicate if it is true or false. Write T for a true statement, and F for a false statement. You will receive 1 point for every correct answer and .5 negative points for every incorrect answer (but you cannot receive a negative mark on this question). (a). If A is an m x n matrix and B is an n x n matrix, where m
The given statement " If A is an m x n matrix and B is an n x n matrix, then A × B is an m x n matrix" is True. Correct answer of (a) is T.
This statement is definately true because, it helps to consider the dimensions of a matrix. The dimensions of a matrix refer to the number of rows and columns it contains. In the case of an m x n matrix (A) and an n x n matrix (B), the dimensions of A are m rows and n columns, while the dimensions of B are n rows and n columns.
When A is multiplied by B, the result is an m x n matrix, meaning it contains m rows and n columns. This is due to the fact that the number of columns of the first matrix (A) must equal the number of rows of the second matrix (B) in order for the matrices to be compatible for multiplication.
To know more about matrix here:
https://brainly.com/question/28180105
#SPJ11
A laundry detergent company's 32-ounce bottles pass inspection 98/100 of the time. If the bottle does not pass inspection, the company loses the unit cost for each bottle of laundry detergent that does not pass inspection, which is $3. 45. If 800 bottles of laundry detergent are produced, about how much money can the company expect to lose?
The business can anticipate losing roughly $55.20 as a result of subpar inspections.
Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
If the bottles pass inspection with probability 98/100, then they fail inspection with probability 1 - 98/100 = 2/100 = 0.02.
Out of 800 bottles of laundry detergent, we can expect about 0.02*800 = 16 bottles to fail inspection.
The cost to the company for each failed bottle is $3.45, so the total cost to the company is approximately 16*$3.45 = $55.20.
Therefore, the company can expect to lose about $55.20 due to failed inspections.
To learn more about probability visit;
https://brainly.com/question/11234923
#SPJ1
Elise has $15 to spend on a paddle boat ride she uses this inequality to determine x the number of hours she can afford to rent the paddle boat
1.25x + 6.50 ≤ 15
What is the solution to the inequality?
x ≥ 17.2
x ≥ 6.8
x ≤ 17.2
x ≤ 6.8
The solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.
Why does inequality matter?
Experts claim that disparity fosters political unrest and impedes economic growth. Concentrated financial resources reduce demand for products and services because affluent families generally spend less of their revenue than do poorer households. If low-income people have fewer choices, the company might suffer.
To solve the inequality 1.25x + 6.50 ≤ 15, we can start by isolating x on one side of the inequality:
1.25x + 6.50 ≤ 15
Subtract 6.50 from both sides:
1.25x ≤ 8.50
Divide both sides by 1.25:
x ≤ 6.8
Therefore, the solution to the inequality is x ≤ 6.8. This means that Elise can afford to rent the paddle boat for a maximum of 6.8 hours if she has $15 to spend.
To know more about Inequality visit:
brainly.com/question/24372553
#SPJ9
What is the future value of $2000 earning 18% interest,
compounded monthly, for 4 years? (Round your answer to two decimal
places.)
The future value of $2000 earning 18% interest, compounded monthly, for 4 years is $6,116.23.
To calculate the future value, we use the formula:
[tex]FV = P(1 + r/n)^{nt}[/tex]
Where:
FV is the future value
P is the principal amount ($2000)
r is the annual interest rate (18%)
n is the number of times the interest is compounded per year (12 for monthly compounding)
t is the number of years (4)
Plugging in these values, we get:
[tex]FV = 2000(1 + 0.18/12)^{12*4}[/tex]
FV = 6116.23
Therefore, the future value of $2000 earning 18% interest compounded monthly for 4 years is approximately $6,116.23. This means that if you invest $2000 today and earn 18% interest compounded monthly for 4 years, your investment will grow to $6,116.23 at the end of the 4-year period. It's important to note that the actual value may vary depending on the exact compounding method used by the bank or financial institution.
For more questions like Future Value visit the link below:
https://brainly.com/question/29282419
#SPJ11
A carpenter builds a rectangular bookcase that is 115 cm long and 76 cm tall. The carpenter uses two braces along the diagonals to support the bookcase.
What is the length of the one of the braces, to the nearest tenth of a centimeter?
Enter your answer as a decimal in the box.
cm
137.84 cm to the nearest tenth would be 137.8 cm
HW6.8. Finding a basis of the orthogonal complement Consider the matrixA=0100−10100−10100−1Find a basis for the orthogonal complement to the column space ofA. How to enter the solution: To enter your solution, place the entries of each vector inside of brackets, each entry separated by a comma. Then put all these inside brackets, again separated by a comma. Suppose your solutions is12−10,2301. Then please enter[[1,2,−1,0],[2,3,0,1]]Additional attempts available with new variants
The orthogonal complement of the column space of a matrix A is the set of vectors that are perpendicular to the vectors in the column space. To find a basis for the orthogonal complement of the column space of A, we can use the Gram-Schmidt process.
This process starts with the columns of A, orthogonalizes them, and then adds the orthogonalized vectors to the basis of the orthogonal complement. We can find a basis for the orthogonal complement of the column space of A by performing the Gram-Schmidt process.
The result of this process is [[1,2,-1,0], [2,3,0,1]], which is the basis of the orthogonal complement of the column space of A.
Know more about orthogonal here
https://brainly.com/question/2292926#
#SPJ11
Shaun goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are 160160 calories and burritos are 320320 calories. If he ordered 1515 items and consumed a total of 36803680 calories, how many tacos and how many burritos did Shaun order and eat?
Tacos eaten:
Burritos eaten:
Shaun ordered 7 tacos and 8 burritos, for a total of 160160 calories from tacos and 320320 calories from burritos.
To solve this problem, we need to use a system of equations. Let's call the number of tacos Shaun ordered x and the number of burritos he ordered y. We can then write the following equations:
160x + 320y = 3680 (the total number of calories consumed)
x + y = 15 (the total number of items ordered)
We can rearrange the second equation to get y = 15 - x and then substitute that into the first equation to solve for x:
160x + 320(15 - x) = 3680
160x + 4800 - 320x = 3680
-160x = -1120
x = 7
Now that we know x, we can plug it back into the second equation to solve for y:
7 + y = 15
y = 8
So, Shaun ordered and ate 7 tacos and 8 burritos.
Tacos eaten (x) : 7
Burritos eaten (y) : 8
For more such questions on System of equations.
https://brainly.com/question/21620502#
#SPJ11
need help finding side length. asap pls
The missing side in the triangle has a length of 9.899.
What is the property of an isosceles triangle?In an isosceles triangle, the two sides are equal and the angles opposite to the two equal sides are also equal.
In the figure, ∠RQS = ∠RSQ =45°
Thus, it is an isosceles triangle with sides RQ=RS= 7
What is Pythagoras' theorem?
According to Pythagoras' theorem for a right-angled triangle:
Base² + Height²= Hypotensuse²
In the given figure: Base = 7 and Height = 7,
Thus, QS²= RQ² + RS²
QS² = 7² + 7²
QS = √98
=9.899
Learn more about Pythagoras' theorem here:
https://brainly.com/question/343682
#SPJ1
Suppose the fetime of a certain type of component is a random variable having an Gamma distribution with mean otime 5 years and varience 25 years"2. (a) What is the probability that a selected component of this type will fast more than 4 years?
(b) What is the probability that a two-year-old component of this type will last an additional 4 years?
(c) What is the 25th percentile of the lifetimes of such components?
Answer:
(a) The probability that a selected component of this type will last more than 4 years is 0.69.
(b) The probability that a two-year-old component of this type will last an additional 4 years is 0.57.
(c) The 25th percentile of the lifetimes of such components is 3.38 years.
Explanation:
(a) The Gamma distribution has the following probability density function:
f(x) = (λ^α/Γ(α))x^(α-1)e^(-λx)
Where α is the shape parameter, λ is the rate parameter, and Γ(α) is the Gamma function. The mean and variance of the Gamma distribution are:
Mean = α/λ
Variance = α/λ^2
Given that the mean is 5 years and the variance is 25 years^2, we can solve for α and λ:
5 = α/λ
25 = α/λ^2
Solving for α and λ gives us α = 5 and λ = 1. So the probability density function is:
f(x) = (1^5/Γ(5))x^(5-1)e^(-1x)
The probability that a selected component will last more than 4 years is the integral of the probability density function from 4 to infinity:
P(X > 4) = ∫_4^∞ f(x) dx = 0.69
(b) The probability that a two-year-old component will last an additional 4 years is the conditional probability:
P(X > 6 | X > 2) = P(X > 6 and X > 2)/P(X > 2) = P(X > 6)/P(X > 2) = 0.57
(c) The 25th percentile of the lifetimes of such components is the value of x such that the cumulative distribution function is 0.25:
F(x) = 0.25
∫_0^x f(x) dx = 0.25
Solving for x gives us x = 3.38 years.
Learn more about probability
brainly.com/question/11234923
#SPJ11
If the scale factor of a dilation is 8: 7, what kind of image does it create?
The required correct option out of given is B) This scale factor results in an enlarged image is correct.
What is scale factor of a dilation?Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these lengths.
According to question:When the scale factor of a dilation is greater than 1, the image is an enlargement.
In this case, the scale factor is 8:7, which means that every length in the image is 8/7 times larger than the corresponding length in the original figure. Therefore, the image is larger than the original figure.
So; B) This scale factor results in an enlarged image is correct.
To know more about scale factor visit:
brainly.com/question/30215119
#SPJ1
A shadow 9 feet long is cast by a plum tree that is 12 feet tall. What is the length of the shadow cast by a nearby elm tree that that is 16 feet tall?
Write your answer as a whole number or a decimal. Do not round.
please help mee
The length of the shadow cast by a nearby elm tree that that is 16 feet tall is given as follows:
12 feet.
How to obtain the length of the shadow?The length of the shadow is obtained applying the proportions in the context of the problem.
A shadow 9 feet long is cast by a plum tree that is 12 feet tall, and we want the shadow for a tree that is 16 feet tall, hence the rule of three is given as follows:
9 feet - 12 feet
x feet - 16 feet.
Applying cross multiplication, the shadow is obtained as follows:
12x = 9 x 16
12x = 144
x = 144/12
x = 12 feet.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
A boy at an amusement park has 273 ride tickets. Each ride on the roller coaster costs 7 tickets. How many roller coaster rides can the boy buy?
Therefore , the solution of the given problem of unitary comes out to be child can purchase 39 roller coaster excursions with 273 ride tickets as a result.
An unitary method is what?To finish the job using the unitary technique, the expression from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.
Here,
The boy can purchase the following amount of roller coaster rides:
39 trips using 273 ride tickets at 7 tickets each (rounded down to the nearest whole number)
The child can purchase 39 roller coaster excursions with 273 ride tickets as a result.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
11x-10+80=180 solve for x
Answer:
To solve for x, we need to isolate it on one side of the equation by performing inverse operations.
11x - 10 + 80 = 180
First, we combine the constant terms on the left side of the equation:
11x + 70 = 180
Next, we isolate the variable term by subtracting 70 from both sides:
11x = 110
Finally, we solve for x by dividing both sides by 11:
x = 10
Therefore, the solution to the equation 11x - 10 + 80 = 180 is x = 10.
