Devon build shelves in the basement to use for storage he built shelves so that they would easily hold plastic containers shaped like rectangular prisms that measures 16in by13in by 1.75feet he currently has his off-season clothing stuff in the boxes that is 1.5'feet by 1.5'feet by14"feet will all of the clothing fit into the plastic storage container so that he can put it on his new shelves

Answers

Answer 1

Answer:

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Step-by-step explanation:

Converting inch measures to feet :

1 inch = 0.0833 feets

Volume of rectangular prism :

V = Lenght * width * height

Volume of plastic container:

16 in = 16 * 0.0833 = 1.3328 feets

13 in = 13 * 0.0833 = 1.0829 feets

Volume of plastic container :

V = 1.3328 * 1.0829 * 1.75 = 2.526 ft³

Volume of box :

1.5 * 1.5 * 14 = 31.5 ft³

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.


Related Questions

A Ferris wheel 72 feet in diameter makes one revolution every 122 sec. The center of the wheel is 50 feet above the ground. Let’s assume the passengers start the ride at time t = 0 seconds at the lowest point on the ride. Consider the periodic function that models the height of a passenger on the Ferris wheel over time

Answers

Answer:

122

Step-by-step explanation:

122x1

wait no....

answer: 72x122

Round off to the nearest hour 09:38​

Answers

10:00
there are 60 minutes in an hour, 38 is closer to 60.
So 10:00 is your answer!

a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building​

Answers

Answer:

18.2 m = height of the building

Step-by-step explanation:

Let x = the distance from the top of the girl's head to the top of the building

tan 45 = x/16

x = 16 tan 45

x = 16 m

16 + 2.2 = 18.2 m = height of the building

The given triangles are similar. Solve for x.

Answers

the first one is 21.93 rounded up to 22.

What is the volume of a cylinder, in cubic centimeters, with a height of 18 centimeters and a base diameter of 8 centimeters? Round to the nearest tenths place

Answers

Answer:

The formula for the volume of a cylinder = height x π x (diameter / 2)^2

volume = 18 x π x (8/2)^2

volume = 502.654825 cm^3

volume = 502.7 cm^3

Answer:

904.8

Step-by-step explanation:

delta math

GIVING BRAINLIEST PLEASE HELP!!!

Answers

Answer:

52° is correct answer of this question

hope it helps

thanks for free points

Step-by-step explanation:

option a.

38°+x=90°

x=90°-38°

x=52°

Solve system of linear equations by graphing.

-2x - 5y = -10
3x + 6y= 18

Answers

Answer:

this is the answer bb

Step-by-step explanation:

PLEASE PLEASE PLEASE FIND THE UNKNOWNS WILL GIVE BRAIN TYSM!!

Answers

Answer:

Sum of the opposite pair of a cyclic quadrilateral is 180°.

c= 180-102= 78°

c= 180-102= 78°d= 180-92= 88°

 intercepted arc

=>2(102°)= 140+a°

a=64°

Simillarly

=> 2(d°)= a°+b°

b°= 112°

so ....

a=64°

a=64°b=112°

a=64°b=112°c=78°

a=64°b=112°c=78°d=88

hope it helps you ....

PLEASE HELP I WILL MARK BRAINEST JUST HELP PLEASE!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{1.5}{6}[/tex] = [tex]\frac{1}{4}[/tex]


Which equation represents a line with a slope of
6
and a y-intercept of -9?
11
А
6
y = -x + 9
11
В
6
y=---9
11x
9
y=-- +9
х
6
y = -x-9
11

Answers

The equation of the line that a slope of 6 and a y-intercept of -9 will be y = 6x - 9.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line that a slope of 6 and a y-intercept of -9 will be

The equation of the line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Then we have

m = 6 and c = - 9

Then the equation of the line will be

y = 6x - 9

More about the linear system link is given below.

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Find the length of the third side. If necessary, round to the nearest tenth. 5 7.​

Answers

Answer:

mmmmmmmmm

Step-by-step explanation:

why everyone is asking about maths........

I am a ...........

Why is the numbers of ways of arranging the letters of CALL is less than the number of ways of arranging the letters of BARK? Explain your answer

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

(1) CALL and (2) BARK

Required

Why is the number of arrangement of (1) less than (2)

The reason is that in (1), letter L occurred twice. When there is a repetition of letters, the number of ways of arrangement reduces

For (1)

There are 4 letters and L is repeated twice.

[tex]Arrangement = \frac{4!}{2!}[/tex]

[tex]Arrangement = \frac{24}{2}[/tex]

[tex]Arrangement = 12[/tex]

For (2)

There are 4 letters and no repetition

[tex]Arrangement = 4![/tex]

[tex]Arrangement = 24[/tex]

The reason why the number of ways of CALL is less than the number of ways of arranging the letters of BARK should be explained below.

Calculation of the number of ways:

The reason should be that in (1), letter L occurred twice. At the time When there is a repetition of letters, the number of ways of arrangement decreases.

So here arrangement be like

When there is 4 letters and L is repeated twice.

=4!/2!

= 24/2

= 12

And,

When there is 4 letters and no repetition

= 4!

= 24

Learn more about ways here: https://brainly.com/question/24604425

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

formula

Step-by-step explanation:

PLEASE ANSWER FAST!

A water tank contains exactly 1,000 gallons. A pump fills the remainder of the tank using
a logistic function. If the volume of the tank is 15,000 gallons and the pump fills the tank at a rate of 10.4% per minute, explain how to find the value of a for the logistic function that describes this scenario.

Answers

Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

What is the logistic function?

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

To learn more about logistic function click here:

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A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.

Answers

Answer:

Hence doubling the dimension gives a volume greater than doubling the original volume.

Step-by-step explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.

Melanie invested $63,000 in an account paying an interest rate of 7 1/8% compounded
quarterly. Lillian invested $63,000 in an account paying an interest rate of 7 3/8%
compounded continuously. After 15 years, how much more money would Lillian have
in her account than Melanie, to the nearest dollar?

Answers

Answer: $8727- thsi should be the correct answer

AYUDA PORFAVOR
En el par ordenado (m,n) ¿cual letra representa la abcisa y cuan la ordenada?

Answers

Answer:

El eje horizontal es el Eje de Abscisas y se representa con la letra “x”, el eje vertical es el Eje de Ordenadas y se representa con la letra “y”.

Step-by-step explanation:

HELP PLS QUICKLY !!!

Factor as the product of two binomials.

x^2 + 3x + 2 ?

Answers

Answer:

x^2+3x+2​ = (x+1)(x+2)

Step-by-step explanation:

The correct answer is (x+2)(x+1).

Find the midpoint between -5 and 37

Answers

the midpoint is the average
-5+37=32
32 divide by 2 is 16

Answer:

16

Step-by-step explanation:

5+37= 42. 42 is the distance between the 2.

divide that by 2- 21

then, subtract 5 to get to the midpoint. 21-5= 16

Write the rule to describe this transformation.

Need help please!

Answers

Answer:

Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".

Step-by-step explanation:

From the graph attached,

Coordinates of point T' → (2, -2)

Coordinates of point T'' → (3, -3)

As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k

By the rule,

T'(x, y) → T"(kx, ky)

Therefore, T'(2, -2) → T"(2k, -2k)

T"(2k, -2k) → T"(3, -3)

By comparing x-coordinates,

2k = 3

k = [tex]\frac{3}{2}[/tex]

k = 1.5

Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".

Which table represents linear function?

Answers

Answer:

does not represent a linear function.

Step-by-step explanation:

For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.

Let us now calculate the slope;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We shall take the first two points

[tex]m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2[/tex]

Next we shall take the 2nd and 3rd points

[tex]m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4[/tex]

The slope is not the same for these two different point, hence this table does not represent a linear function.

Every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500-milliliter cartons at the store. How many cartons should he buy?

Answers

Answer: 3

Step-by-step explanation:

Vince will have to buy three cartons of 500 ml each.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.

We know that -

1 Liter = 1000 milliliters

1.5 liter = 1500 liters

Now -

1 carton 500 ml.

Then, 1 ml will be in (1/500) carton.

So, 1500 ml will be in (1/500 x 1500) = 3 cartons

Therefore, Vince will have to buy three cartons of 500 ml each.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

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easy slope question need answer FAST

Answers

Answer:

Assuming that the scale is 1, x int: (-4,0), y int: (0,-3)

Step-by-step explanation:

Hope this helps :)

x-int is (-4,0), y-int is (0,-3)

Maria bot a jacket that was on sale for 14.40 after a discount of 20%. What is the oringal price?

Answers

Answer:

17.28

Step-by-step explanation:

20%/ 14.40= 2.88

2.88+14.40=17.28

Answer:

$17.28

Step-by-step explanation:

14.40 x 20% (0.20) = 2.88

14.40 + 2.88 = 17.28

For this item, enter the answers in the spaces provided.
Consider the equation representing a customer purchasing 3 boxes of cereal
at $x each and 4 apples at $y each at a grocery store for a total of $12.
3x + 4y = 12

The equation when solved for y is y y=__x+__

Answers

Answer: I think 3-1x not 100% sure on that one though been a while since I've done this stuff

Step-by-step explanation:

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."

Answers

Answer:

4(2x - 3) is how I would write it algebraically.

Step-by-step explanation:

The number is x, as it is unknown. 2x means you multiply the unknown number by 2.

2x

Now, you subtract 3.

2x - 3

And then you multiply the result of that by 4, hence the parentheses.

4(2x - 3)

To solve, just distribute 4. 4*2x = 8x. 4*-3 = -12.

8x - 12

Answer:

8x-12

Step-by-step explanation:

(2x-3)* 4 = 8x-12

Lilian uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Lilian a uses a total of 12 1/4 calories walking to the park.

Lilian a uses the equation, d (3/4 + 1) = 12 1/4 to represent the situation.

what does variable d represent in the equation?

Answers

Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Answer:

Number of minutes Lilianna walked

Step-by-step explanation:

Hope this helps!

answer asap pllssssss ​

Answers

Answer:

m + 12 = 26

Step-by-step explanation:

I hope this helps a little.

will give brainliest if you help with this question.

Answers

Answer: (-5, 2). Please mark me brainliest

Step-by-step explanation: So we are finding the coordinates of point A first we have to mark the x-coordinate (-5) so we have to look at the horizontal line (x-coordinate) and the A is an -5 so the first part should be -5 next we have to do the vertical line (y-coordinate) and it is on the 2 so 2 so the answer is (-5,2).

is there an error in the work and is the answer extraneous? if so why?​

Answers

Answer:

x = 4

Step-by-step explanation:

log₃[1 + log₃(2ˣ - 7)] = 1

log₃[1 + log₃(2ˣ - 7)] = log₃(3)

1 + log₃(2ˣ - 7) = 3

log₃(2ˣ - 7) = 2

log₃(2ˣ - 7) = log₃(3)²

2ˣ - 7 = 9

2ˣ = 9 + 7

2ˣ = 16

2ˣ = 2⁴

x = 4

By putting x = 4 in the original equation,

log₃[1 + log₃(2⁴ - 7)] = 1

log₃[1 + log₃(16 - 7)] = 1

log₃[1 + log₃(9)] = 1

log₃[1 + log₃(3)²] = 1

log₃[1 + 2] = 1

log₃[3] = 1

1 = 1

Therefore, x = 4 is not the extraneous solution and there is no error in your answer.

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