I need this ASAP! When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be of length of the storage space.
A) Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves?
B) Write a function that expresses f(x).
C) Graph the function.

Answers

Answer 1

Area = 8,100 square feet

area of a square = a²

8,100 square feet = a²

√8,100 square feet = √a²

90 feet = a

total length each row of bookshelf is 4/5 of the length of the storage space.

90 feet * 4/5 = (90*4)/5 = 360/5 = 72 feet.

Area = (72 ft)²

Area = 5,184 square feet.


Related Questions

cd and ad are

altitudes
perpendicular bisectors
angle bisectors
medians

Answers

Answer:

I believe it is angel bisectors

Step-by-step explanation:

correct me if im wrong sorry

The question is in the picture

- I really need this !! Thank you !!

Answers

Answer:

y=-1/5x+9

Step-by-step explanation:

-1/5x is the slope and 9 is y intercept

Which one of the following reasons does NOT explain why 2x + 3y ≠ 5xy?

Answers

Answer:

Since 2 and 3 are factors, they should be multiplied to get 6xy.

Step-by-step explanation:

The solution is Option B.

Since 2 and 3 are factors, they should be multiplied to get 6xy and the equation is False

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

2x + 3y ≠ 5xy

a)

If you substitute 4 for x and 5 for y in the expression 2x+3y, it does not equal 5(4)(5)

Substituting the value of x = 4 and y = 5 in the equation , we get

2 ( 4 ) + 3 ( 5 ) ≠ 5 ( 4 ) ( 5 )

8 + 15 ≠ 100

23 ≠ 100

Therefore , the statement is True

b)

Since 2 and 3 are factors, they should be multiplied to get 6xy

2x ( 3y ) = 6xy

But the equation does not equals 6xy

Hence , the statement is False and does not explain the given equation

c)

x and y are not like terms

The statement is true because the variables x and y are not the same

Therefore , the statement is True

d)

Adding x and y is not the same as multiplying x and y

The value of the equation x + y = x + y and on multiplying x and y = xy

And , x + y ≠ xy

Therefore , the statement is True

Hence , the equation 2x ( 3y ) = 6xy is False

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When x equals 4 what does y equal?
A. 1
B. 3
C. 2
D. 4​

Answers

When x equals 4 what does y equal?
A. 1
B. 3
C. 2
D. 4
Ans is D.4

2.
.
X + 3
X + 18
X +4
X=

Answers

x = -1,-16,-2.

TIE FIGHTERS GO ZOOOOOOOM

Use the Zero Product Property to find the x-intercepts for x^2+6x=y

Answers

Answer:

[tex]x=0\ or\ x =-6[/tex]

Step-by-step explanation:

Given

[tex]x^2+6x=y[/tex]

Required

Determine the x intercepts

To get the x intercepts, we simply set y to 0

Substitute 0 for y;

[tex]x^2+6x=0[/tex]

Factorize:

[tex]x(x +6) = 0[/tex]

Apply zero product property

[tex]x=0\ or\ x + 6 =0[/tex]

[tex]x=0\ or\ x =-6[/tex]

What is the length of NP to the nearest hundredth centimeter?

Answers

The height of NP will be 6.71cm

Jamie receives 15% commission on magazine subscriptions. One week her sales totaled $860. What was her commission?

Answers

Given:

Jamie receives 15% commission on magazine subscriptions.

One week her sales totaled $860.

To find:

Her commission.

Solution:

We have,

Total sales of one week = $860

Rate of commission = 15%

Now,

[tex]Commission=\dfrac{15}{100}\times 860[/tex]

[tex]Commission=\dfrac{15}{10}\times 86[/tex]

[tex]Commission=\dfrac{1290}{10}[/tex]

[tex]Commission=129[/tex]

Therefore, the amount of commission is $129.

Please answer these for a lot of points if you scam ill report you!

Answers

Answer:

Step-by-step explanation:

1) 5 times the length x of the table = 5*x = 5x

the sum of 8  inches = 5x + 5

5x +  8

2) Half the weight of w of  a bag of rice = [tex]\frac{1}{2}w[/tex]

6 pounds less than =  [tex]\frac{1}{2}w-6[/tex]

[tex]\frac{1}{2}w-6[/tex]

3) The product of 2 coins and c coins = 2*c = 2c

2c

Answer:

1. 5 times the length x of the table = 5*x = 5x

the sum of 8  inches = 5x + 5

5x +  8

2. Half the weight of w of  a bag of rice =

6 pounds less than =  

3. The product of 2 coins and c coins = 2*c = 2c

2c

Step-by-step explanation:

Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, how much total money has he spent? Write and equation and solve.

Answers

Answer:

21.15 $

Step-by-step explanation:

Answer:

$21.15

Step-by-step explanation:

$2.35 x 9= $21.15

Hope this helps

Find the area and the circumference of a circle with radius 8cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

50.272 cm

Step-by-step explanation:

GIven

radius= 8cm

Pi= 3.142

Required

The circumference C

C= 2πr

substitute

C=2*3.142*8

C=50.272 cm

Hence the circumference is 50.272cm

SOMEBODY PLS HELP ASAPP!!!
A train car is in the shape of a right rectangular prism and has a volume of 540 cubic feet as shown.
feet
12 feet
What is the height of the train car?
A 10 feet
B. 12 feet
C 22.5 feet
D. 24 feet

Answers

Answer:

its c

Step-by-step explanation:

Factor completely: 3x2 + 12xy + 2xz + 8yz
A)
(2x + y)(3x + 2)
B)
(x + 2y)(3x + 4z)
c
(2x - 3)(x + 2z)
D)
(x + 4y)(3x + 2z)

Answers

Answer:d

Step-by-step explanation:

6. A pencil costs $2 less than a notebook. A pen costs 3 times as much as a pencil. The pen costs
$9. Write and solve an equation to determine the cost of the notebook and the cost of the
pencil.

Answers

Answer:

Step-by-step explanation:

9 x 3 = 27 aka pencil

27 + 2 = 29 = notebook

Find the value of each expression. 25-14+3

Answers

Answer:

25-14+3= 14

25-14=11

11+3=14

the answer is 14 luv

Write the slope intercept form of the equation for the line

Answers

Answer:

-7/8x-3/2

Step-by-step explanation:

You decide to decrease your average room rate from $160/night to $150/night. What is your rate decrease percentage?


a) 6.25%
b) 6.66%
c) 10%
d) 16%

Answers

The answer is B since 6.66% times 150 is 159.99

6th grade math !!!!!!!!

Answers

I would think b or d I would prob say b not 100% hope this helps?

Answer:

Heyy, don't cheat on an online test

Step-by-step explanation:


Which graph represents the function f(x) = 3-* +4?
10
8
-6
2
2
10
8
2
2

Answers

3rd one :)))))))))))))))))))))))))))
The third graph is correct answer

The table shows the relationship “Dental Assistants make 19 dollars per hour.”

Hours (h)
Dollars (d)
1
19
2
38
3
57
4
76
5
95

Which statements are correct? Check all that apply.
The variable d is the independent variable.
The variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
The variable d is the dependent variable.
The number of dollars earned causes a change in the number of hours worked.
The variable h is the dependent variable.
The more hours that are worked, the fewer dollars that are earned.

Answers

Answer:

The Answers Are:

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Step-by-step explanation:

As you can see on the picture, the more hours you work, the more dollars you get.

d=19h

The statement,B. The variable h is the independent variable. The number of hours worked causes a change in the number of dollars earned. The variable d is the dependent variable are correct.

We have the given options,

A.The variable d is the independent variable.

B. The variable h is the independent variable.

C. The number of hours worked causes a change in the number of dollars earned.

D. The variable d is the dependent variable.

Here d is dependent on hours,

What is the meaning of the independent variable?

In an experiment, any variable that can be attributed a value without attributing a value to any other variable is called an independent variable.

As you can see below, the more hours you work, the more dollars you get.

Hours        Dollars

1                   19

2                  38

3                  57

4                  76

5                  95

d=19h.

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The length of a rectangle is 6 inches the width is 3w inches if the coefficient of the width increases by 2 what could be an expression for the area of the rectangle

Answers

Answer:

Dang it I got it wrong

Step-by-step explanation:

Solve for x: X -10 = 7

Answers

Answer:

x = 17

Step-by-step explanation:

x - 10 = 7

=> x = 10 + 7

=> x = 17

Need help fast!!!!!!!!!!!!!

Answers

Add me on the clock app my user is limblesskaworu

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?




A. 13 mi.

B. 14 mi.

C. 16 mi.

D. 17 mi.

Answers

The extra miles the pilot was forced to fly, found using Pythagorean Theorem was 16 miles. The correct option is therefore;

C. 16 mi

What does Pythagorean Theorem state?

Pythagorean theorem can be stated as follows; The square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the lengths of the other two sides.

The direction the pilot planned initially = A southeast course

The direction the storm forced the pilot to travel = 32 miles south then 24 miles east

The number of extra miles the pilot is forced to fly = Required

Taking the original path as a straight line, and the destination arrived at being that of the new destination, we get by using Pythagoras Theorem

Direct distance, d₁ = √(32² + 24²) = 40The direct distance from City 1 to City 2 = 40 miles

The new distance can be obtained by the scalar addition of the individual distances as follows;

d₂ = 32 + 24 = 56

The new distance traveled, d₂ is 56 miles

The number of extra miles, Δd, is therefore;

Δd = d₂ - d₁

Which indicates that we have;

Δd = 56 miles  - 40 miles = 16 milesThe number of extra miles the pilot was forced to fly is Δd = 16 miles

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Answer:

C. 16 mi

Step-by-step explanation:

I wanna make sure this is right pls help

Answers

Answer:

C

Step-by-step explanation:

Set it up like a formula

feet = inches/feet = cm/inches

Which of the following could be the graph of the equation y = -2x? *
please answer

Answers

B.

The line starts at the origin and goes down by two.

Please help ASAP you will get BRAINLIST.

Answers

Answer:

Measure of LKJ is 64

Step-by-step explanation:

Here, we want to find the measure of angle LKJ

mathematically, we know that a bisector line divides an angle into 2

Since one of the divided angle is 32

The other side too will be 32

Thus, the missing value would be;

32 + 32 = 64

please answer all of them

Answers

Answer:

a. x = 5/2

b. y = 16.5

c. z = 12

Step-by-step explanation:

Answer:

1) x = 2.5

b) y = 12.9

c) z = 12

d) 2.75 = w or 2[tex]\frac{3}{4}[/tex] = w

e) t = 4

Step-by-step explanation:

a)

2x = 5

divide both sides of the equation by 2

2x/2 = 5/2

x = 5/2

x = 2.5

b)

y + 1.8 = 14.7

subtract 1.8 from both sides of the equation

y + 1.8 - 1.8 = 14.7 - 1.8

y = 14.7 - 1.8

y = 12.9

c)

6 = 1/2z

divide both sides by 1/2 or multiply both sides by 2

6*2 = 1/2z * 2

6*2 = z

12 = z

d)

3.25 = 0.5 + w

subtract 0.5 from both sides of the equation

3.25 - 0.5 = 0.5 + 2 - 0.5

3.25 - 0.5 = w

2.75 = w

or

2[tex]\frac{3}{4}[/tex] = w

e)

2.5t = 10

t = 10/2.5

t = 4

Given that a leg of a 45-45-90 triangle has a length of 5 feet, what is the length of the hypotenuse? (PLEASE HELP im timedd!!!)

Answers

Answer:

5[tex]\sqrt{2\\}[/tex]

Step-by-step explanation:

Use the 45-45-90 triangle property. If the leg is x then the hypotenuse would be [tex]\sqrt{2}x[/tex]. Since x is 5, then the hypotenuse would be 5[tex]\sqrt{2\\}[/tex]

Solve for y. 10x-3y=2​

Answers

Answer:

y = 10/3x - 2/3

Step-by-step explanation:

10x-3y=2​

-3y = -10x + 2

-3y/-3 = -10x/-3 + 2/-3

y = 10/3x - 2/3

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