A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.

Answers

Answer 1

Answer:

The width is 3 ft

The length is  12 ft

Step-by-step explanation:

Let w = width

l = 4w

A = l*w

Replace length with 4w

A = 4w*w

36 = 4 w^2

Divide each side by 4

36/4 = 4w^2/4

9 = w^2

Take the square root of each side

sqrt(9) = sqrt(w)

3 =w

The width is 3 ft

The length is 4*3 = 12 ft

Answer 2
The width is 3,then the length is 4x3=12

Related Questions

( 4.5 x 10 ⁴ ) ÷ (300) =

Answers

Answer:150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.

Answers

Answer:

D. x + 4

Step-by-step explanation:

Let's factor the trinomial:

x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)

x + 4 is between the answer options

Correct option is D.

A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint

Answers

Answer:

A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint

Step-by-step explanation:

Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

To make color pink,

for every 3 cups of red , we need 7 cups of white.

Let 'r' be the cups of red required

let 'w' be the cups of white required

so , as per the question

for 3 r we need = 7 w

r = 7/3 w

so, 7/3 is constant of proportionality

60000/23/35767755x100000=? whats he answer?

Answers

Answer:7.293428542

Step-by-step explanation:Calulator :D

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hold up i know the answer.

Step-by-step explanation:

Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?

Answers

Answer:

18= 4+ x

Step-by-step explanation:

Boleslaw: How many yards for 8 uniforms?

Answers

One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.

what is the product of 50x0.08 M​

Answers

Answer:

4

Step-by-step explanation:

4 sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie

which of the following is equal to 1.66 in lowestterm? a.166/1000 b.166/100 c.58/50 d.29/25

Answers

Answer:  Choice B.  166/100

================================================

Work Shown:

1.66 = 1.66/1.00

1.66 = 166/100

1.66 = 83/50

In the second step, I moved the decimal point over to the right two spaces for each value. So 1.66 turns into 166 and 1.00 turns into 100. This is the same as multiplying top and bottom by 100.

In the third step, I divided both parts by the GCF 2. So 166/2 = 83 and 100/5 = 50.

You should have 83/50 in your answer choices, but it's not listed. So the next best thing is 166/100.

You can use a calculator if you want :)

Answers

Answer:

A. -0.02

Step-by-step explanation:

-[tex]\frac{5}{25}[/tex]=-[tex]\frac{1}{5}[/tex]

1/5 is 20%

-1/5 is -20%

-.02% is greater because it's closer to zero

Is the question inconsistent or conditional?

Answers

Answer:

it is inconsistent

Step-by-step explanation:

Find the value of 3 ^ 3

Answers

Answer:

27

Step-by-step explanation:

3*3=9*3=27

Answer: 27

Step-by-step explanation: What 3 ^ 3 mean is when you multiply 3x3x3. Hope this was helpful.

(2/5) (-5/7) please show work

Answers

Given equation:

(2/5) (-5/7)

What we have to do?

To simplify the equation

Step by step explanation:

Step 1:

[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]

[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]

Step 2:

[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]

Step 3:

[tex] \blue{=\dfrac{ - 2}{7} }[/tex]

Step 4:

[tex]\blue{=−0.28571✓}[/tex]

________________________________

With regards!

★Dull Star★

Five notebooks cost $20 at this rate how much would 4 notebooks coat?

Answers

Answer:

$16

Step-by-step explanation:

if 5=20 then 20÷5=4 and 4x4=16

Answer:

16

Step-by-step explanation:

$20/5notebooks=$4 each

4$*4notebooks=16$

Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make

Answers

Answer:

Jake will make 8$

Step-by-step explanation:

20/5=4

4x2=8

If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).

Answers

Answer:

-1

Step-by-step explanation:

g(1) = -2*1^2 - 4*1 + 5

Solve for x.
28
42
16
x

Answers

X = 24

Set up a proportion, 28/16 = 42/x

When you solve, x = 24 (:

Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.

Answers

Answer:

20 over 100 = 1 over 5

Step-by-step explanation:

−6.5(n−5)=18.2 what is the value of n?

Answers

Answer: The value of n is 2.2

Step-by-step explanation:

Complete the square to solve the equation below

Answers

MExact Form:

x

=

±

39

+

5

Decimal Form:

x

=

11.24499799

,

1.24499799

find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)​

Answers

Answer:

0

General Formulas and Concepts:

Derivative is the slope of the tangent line

Derivative of a constant = 0Derivative of cos(x) = -sin(x)

Step-by-step explanation:

Step 1: Write function

f(x) = 2 + 3cos(x) (π, -1)

Step 2: Solve

Find 1st Derivative:                    f'(x) = -3sin(x)Substitute:                                  f'(π) = -3sin(π)Evaluate:                                    f'(π) = -3(0)Multiply:                                      f'(π) = 0

Step 3: Define

f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.

What is the slope of a line that contains the points (-6 , 1) and (4 , -4)?

Answers

Answer:

-1/2

Step-by-step explanation:

For this question we use the slope formula: [tex]m = (y_{1} - y_{2})/(x_{1}-x_{2})[/tex]

chug and plug: m = (1 - (-4))/(-6-4)

m = -0.5 or [tex]-\frac{1}{2}[/tex]

The slope of a straight line passing through the points (-6 , 1) and (4 , -4) is -1/2.

What is Slope of a straight line?

The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -

m = (y₂ - y₁)/(x₂ - x₁)

Given is a line that passes through the points (-6 , 1) and (4 , -4).

The slope of a straight line passing through two points is given by -

m = (y₂ - y₁)/(x₂ - x₁)

The coordinates given are (-6 , 1) and (4 , -4).

Substituting them in the formula, we get -

m = (- 4 - 1)/(4 + 6)

m = (- 5)/(10)

m = -1/2

m = -1/2

Therefore, the slope of a straight line passing through the Points (-6 , 1) and (4 , -4) is -1/2.

To solve more questions on Straight lines, visit the link below-

brainly.com/question/28490034

#SPJ2

Bonnie is baking cookies and making icing. She notices that 2 ounces of food coloring creates 9 cups of red icing. If 14 cups of red icing are needed to finish decorating cookies, how many ounces of food coloring are needed? Round to the nearest tenth of an ounce.

Answers

Answer:

3.1

Step-by-step explanation:

Write a proportion.

2 / 9 = x / 14

Cross multiply.

9x = 28

Divide.

x ≈ 3.1

what is Midsegment of a Triangle Theorem

Answers

Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Step-by-step explanation:

i need help this is timed i will mark u as brainliest.

Answers

Answer:

-8

Step-by-step explanation:

np

Answer:

I'm not very sure but it might be 12.

I'm very sorry if this is incorrect and I am going to vote myself 2 stars so you see this last

i-i dont deserve these points

ree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 119 inches and standard deviation σ = 17 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of trees are more than 130 inches tall? (b) What proportion of trees are less than 90 inches tall? (c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is .

Answers

Answer:

a) 0.2588

b) 0.044015

c) 0.12609

Step-by-step explanation:

Using the TI-84 PLUS calculator

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question, we know that:

μ = 119 inches

standard deviation σ = 17 inches

(a) What proportion of trees are more than 130 inches tall?

x = 130 inches

z = (130-119)/17

= 0.64706

Probabilty value from Z-Table:

P(x<130) = 0.7412

P(x>130) = 1 - P(x<130) = 0.2588

(b) What proportion of trees are less than 90 inches tall?

x = 90 inches

z = (90-119)/17

=-1.70588

Probability value from Z-Table:

P(x<90) = 0.044015

(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?

For x = 95

z = (95-119)/17

= -1.41176

Probability value from Z-Table:

P(x = 95) = 0.07901

For x = 105

z = (105 -119)/17

=-0.82353

Probability value from Z-Table:

P(x<105) = 0.2051

The probability that a randomly chosen tree is between 95 and 105 inches tall

P(x = 105) - P(x = 95)

0.2051 - 0.07901

= 0.12609

A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?

Answers

Answer:

18 cents

Step-by-step explanation:

3.28/18 = .18

Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have

Answers

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.

If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?

Answers

Answer: There will be 4 pieces of ribbon

can someone help me? pls find the length of AB

Answers

use a divider to find the length of the middle line then use

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