The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

w = width

3w = three times the width

3w-7=7 feet less than three times the width

l = length = 3w-7

A=length × width (lw)

66 = (3w-7) × (w)

66 = 3w^2 - 7w

3w^2 - 7w -66 =0

factor

3 = 3 × 1 and 66 = 6 × 11,

6 × 3 = 18,  11 × 1 = 11,  18 - 11 = 7

(3w   )(w   )=0 so far

(3w   )(w  6)=0 so far

(3w   11)(w   6)=0 so far

(3w+11)(w-6)=0

w-6=0

w=6

3w=3*6=18

3w-7=3*6-7=18-7=11

w=6 feet

l=11 feet


Related Questions

Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
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Answer

2/3

Step-by-step explanation:

there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3

Matthew bought flowers for his mother. Exactly 1/4 of the roses were white. How many roses were white?

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Answer:

1/4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What is the volume of the square pyramid, in cubic inches?

Answers

Answer:648

Step-by-step explanation:

V=a2h

3=92·24

3=648

Answer:

648 in.^3

Step-by-step explanation:

V = (1/3)Bh

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14 is what percentage of 100?

Answers

Answer:

14%

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

It is like subtraction, if you do 14 - 100 you get 86 so you took away 14 from 100 so you would get 14%

Which shape is a parallelogram?

I’ll mark you if you give the right answer!!

Answers

Answer:

The rectangle is a parallelogram.

Step-by-step explanation:

Parallelograms are shapes with two pairs of parallel sides.

The rectangle is the only shape that meets those requirements.

giving brainliest !!! *easy*

Answers

Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Nicole is buying two posters. One poster costs $7.04 and the second costs $12.45. How much more does the second cost than the first?
A. $5.95
B. $0.54
C. $5.41
D. $19.49

Answers

The answer is C! All you have to do is subtract the numbers! :) (Also, could I get brainliest?)

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Answers

Answer:

The tree grows 3,14 centimeters per year

HELPPP
I HATE LINKS

Answers

Pretty sure it´s 12.25

61.25 /5=12.5

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Makers of a new pain-relieving medication claim that it relieves chronic pain faster than the current top-selling pain reliever on the market. A
double-blind experiment was conducted in which 10 people who experience chronic pain were randomly selected to take either the new or the
current medication. Each of the 10 people recorded the time, in minutes, from taking the medication until pain relief. After an appropriate time
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Answer:

srry can't help with out the picture, but I would think that if it wasn't the for sure amount that it wouldn't work

The p-value from the appropriate t-test illustrated is 0.1802.

What is a p-value?

The p-value simply means the measure of the probability that an observed difference will have occured due to chance.

In this case, from the complete question, the p-value from the test from the table illustrated is 0.1802. The lower the p-value, the higher the statistical significance.

Learn more about p-value on:

https://brainly.com/question/4621112

Alyson worked at a clothing store for the summer. She started in June and her pay increased by 10% each month. Alyson earned $2,904 in August. How much did she earn in June?

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Answer:

i THINK anyson earned 1742.4 a month in June but I’m a middle schooler so

Step-by-step explanation:

The internet

... If g(x)= x^2 + 3x, what is the value of g(-3).
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(2)3
(4) 21

Answers

Answer:

g(-3) = 0

Step-by-step explanation:

hello :

g(-3) = (-3)² + 3(-3) = 9-9 =0

Help!!! Algebra 2
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Answers

Answer

d

Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.

Which phase is a description of the expression below 15-7n

Answers

Answer:

[see below]

Step-by-step explanation:

-7n is getting subtracted from 15.

7n is 'the product of 7 and n'

15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/

Hope this helps.

n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. Probability

Answers

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that [tex]\mu = 116, \sigma = 5.4[/tex]

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 116}{5.4}[/tex]

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Answers

Answer:

Radius: R = 12 in

Diameter: D = 24 in

Circumference: C = 75.4in

Area: A = 452.39 in²

Step-by-step explanation:

Solutions:

Diameter d= 2r

D = 2 × 12

D = 24

Circumference

C = 2πr

C = 2 × π × 12

C = 24π

C = 75.3982237

Area:

A = πr²

A = π × 12²

A = 144π

A = 452.389342

What is the value of x in the triangle?

I need help pls :)

Answers

Answer:

17

Step-by-step explanation:

using Pythagorus theroem, you do (√514)² - 15².

This gives you 289 which you then need to square root, giving you 17

The answer your looking for is B explanation : hope this helps :)

3.2.5
Find a so that the point (-1,4) is on the graph of f(x) = ax^2+1

Answers

9514 1404 393

Answer:

  a = 3

Step-by-step explanation:

Evaluating the given function at the point, we have ...

  f(-1) = a(-1)^2 +1 = 4

  a +1 = 4

  a = 3

The value of 'a' is 3.

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Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.)
{0, 1,2,3,4}
Numerical Answers Expected!
Answer for Blank 1:

Answers

Answer:

0

Step-by-step explanation:

0

Figure A is enlarged to create figure B. The ratio of the areas of A and B is 16:49.

One side of B is 5ft long. How long would the corresponding side on figure B be. Leave your answer as a fraction. (No image was provided, only the question itself.)​

Answers

Answer: [tex]\dfrac{20}{7}[/tex]

Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is [tex]x[/tex]

On solving

[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]

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Group of answer choices

Both Table A and Table B represent proportional relationships.

Table A represents a proportional relationship but Table B does not.

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Table B represents a proportional relationship but Table A does not.

Answers

Answer:

Both represent a proportional relationship

Step-by-step explanation:

This is because when the independent variable in each table increases, the dependent variable increases as well, making the relationship proportional.

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Answers

Answer:

15

Step-by-step explanation:

5 + 10 = 15

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Answers

Answer:

21) 18

22) 9

Step-by-step explanation:

21) (4+8)/2*3 = 18

22) (8+10)/2 = 9

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Answers

Answer:

15-6

Step-by-step explanation:

if it helps don't forget to like and mark me

x=-9

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Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?

Answers

Answer:

reflection reflection

Step-by-step explanation:

rotation doesn't make sense and there is no indication of a center of rotation.

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Answers

Answer:

(x−2)(x+3)

Step-by-step explanation:

x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)

Samantha jogs 3 miles in 45 minutes.

How many miles can she jog in 1 hour?

Answers

Answer:

4 miles in 1 hour.

Step-by-step explanation:

1 hour = 60 mins

Ratios:

[tex]\frac{3}{45} =\frac{x}{60} \\\\45x=180\\x=4[/tex]

Answer:

4 miles

Step-by-step explanation:

45/3=15 she runs 1 mile in 15 mins so in 1 hour she can jog 60/15=4 miles

please help..I dont get this and please Dont put a Link below please.

Answers

Answer:

x = 27, y = 74

Step-by-step explanation:

Hi again :)

Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.

5x + 4 + x + 14 = 180

6x + 18 = 180

6x = 162

x = 27

Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.

5(27) + 4 = 2y - 9

135 + 4 = 2y - 9

139 = 2y - 9

148 = 2y

y = 74

As always, lmk if you have questions.

Which is true about the polynomial

Answers

binomial with degree of 3
The correct answer is binomial with a degree of 3.
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