The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular prism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase​

Answers

Answer 1

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³


Related Questions

$9,800,000 is what percent of $7,000,000

Answers

Answer:

686000000000

Step-by-step explanation:

1. We assume, that the number 7000000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 7000000 is 100%, so we can write it down as 7000000=100%.

4. We know, that x is 9800000% of the output value, so we can write it down as x=9800000%.

5. Now we have two simple equations:

1) 7000000=100%

2) x=9800000%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

7000000/x=100%/9800000%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9800000% of 7000000

7000000/x=100/9800000

(7000000/x)*x=(100/9800000)*x       - we multiply both sides of the equation by x

7000000=1.0204081632653E-5*x       - we divide both sides of the equation by (1.0204081632653E-5) to get x

7000000/1.0204081632653E-5=x

686000000000=x

x=686000000000

now we have:

9800000% of 7000000=686000000000

4 Write an inequality for the word phrase
-5 is fewer than 6 less than a numberk

Answers

Answer:

6 - 5 < X

Is your expression

Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide.
How many containers, each one cubic foot in volume, can Mr. Powell fit into the storage space?

Answers

Answer:

To find how many 1 by 1 containers can fit in his storage space we must find the volume of the storage space in cubic feet. The formula for the volume of a rectangular prism aka the room is length x width x height. With this formula, all we need to do is plug in all the values given to the variables.

volume = length x width x height = 5 x 4 x 7 = 20 x 7 = 140

Final Answer: 140 one foot by one foot containers  can fit in Mr. Powell's storage space

genuinely don’t know how to do geometry.

Answers

Answer:

Im sorry for you this is too complex

What is the decimal multiplier to increase by 6.1%?​

Answers

first add or subtract the percentage from 100 ,then convert to a decimal.

What is a simple definition of the multiplier?

It is the number of times a rise in national income exceeds the rise in injections of demand that caused it.

What is the multiplier process?

The multiplier effect comes about because injections of new demand for goods and services into the circular flow of income stimulate further rounds of spending – in other words “one person’s spending is another’s income”

This can lead to a bigger eventual final effect on output and employment.

plz mark me as a brainliest answer!

John took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.70 plus $2.50 per mile. The total fare was $24.70, not including the tip. How many miles was the taxi ride? ​

Answers

Answer:

8

Step-by-step explanation:

You can solve this by creating a linear equation.

Slope: 2.50

Y-intercept: 4.70

y=2.50x+4.70

Since we know that the total fare was 24.70 we can plug it into the y.

24.70=2.50x+4.70

Now solve for the equation.

20=2.50x

8=x

So he went 8 miles with the taxi.

Total number or mile taxi run is 8 miles.

Given that;

Pick up charge = $4.7

Charges per mile = $2.5 per mile

Total fare = $24.7

Find:

Number of mile taxi ride

Computation:

Total fare = Pick up charge + [Total number or mile taxi run][Charges per mile]

24.7 = 4.7 + [Total number or mile taxi run][2.5]

[Total number or mile taxi run][2.5] = 24.7 - 4.7

[Total number or mile taxi run][2.5] = 20

Total number or mile taxi run = 20 / 2.5

Total number or mile taxi run = 8 miles

Learn more:

https://brainly.com/question/3530056?referrer=searchResults

IIIIII neeeeeed help plzzzzzzzzzzz, um.... its algebra fyi


1/2 n =18

n=______

Answers

Your answer would be 36 because 18x2=36

Solve the system by substitution.

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:
(10,-20)

Hope this helps
Leave a like!

Nancy has a rectangular garden with length, I, width, w, and a perimeter of 28 feet The length of the rectangle is 2 less than 3 times the width. Choose the system of equations that can be solved to find land w

Answers

Answer:Perimeter =2l +2w

28=2(3x-2) + 2x

Width =4feet

Length =10feet

Step-by-step explanation:

Perimeter of rectangular garden =2(l+b)

Let the width be represented as X

And the length which is 3x-2

Such that the equation to solve for length and width be

Perimeter =2l +2w

28=2(3x-2) + 2x--- system of equation

Solving

28=2(3x-2) +2x

28=6x-4+2x

28=8x-4

28+4=8x

32=8x

X=32/8

X=4

Width =4

Length =3x-2=3x4-2=10

If f (x) = 2x, find the output when x = -4.

Answers

Answer:

f(-4) = -8

Step-by-step explanation:

f (x) = 2x

Let x=-4

f(-4) =2*-4

      = -8

Answer:

The answer is -8.

Step-by-step explanation:

f(x)=2x

f(-4)=2(-4)

f(-4)=-8.

Which quadrilateral has the following property? "Diagonals are congruent to each other"

Answers

Answer:

Square

Rectangle

Step-by-step explanation:

In rectangle and square "Diagonals are congruent to each other"

What is 972 divided by 5? PLEASE HELP!! AND IF THERE IS A REMAINDER PLS TELL ME. Ty!

Answers

Answer:

194.4

Step-by-step explanation:

The remainder is 4

194 with a remainder of 4

Jack is investing $3,000 into an account
with an annual compound interest rate of
3% for 30 years. Jack will not make any
| additional deposits or withdrawals. How
X much interest will he have earned at the end X
of the 30 years?
Round your answer to the closest dollar
amount.

Answers

Answer:

Step-by-step explanation:

I think this is the equation for annual compunt interest

FV = PV(1 + int)^time        PV is present value    FV is the future value

PV + Interest  =  FV

FV - PV = Interest

                           FV                   -      PV

Interest  = [3000(1 + 0.03)^30]   -   3000

              =    3000(1.03)^30    -   3000

              =    3000(2.4272)   -   3000

              =    7281.79   -   3000

              =    $4282     to the nearest dollar    <------------    Fianl Answer

WILL MARK BRAINILIST!!

Answers

Answer:

I think the answer is B because i counted all the beads the students had picked out and then put it as the denominato,r and then put the red colored beads as the numerator.

Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys 1/4 of a yard of each pattern? patterns

Answers

Answer:

36

Step-by-step explanation:

just divided 9 by 1/4 I think I may be wrong.

A class was conducting a series of probability experiments.
Which set of events would have an equally like chance of occurring?
A
spinning a spinner with 3 sections and tossing a coin.
B
rolling a six-sided cube and drawing 6 marbles out of a bag.
С
tossing a coin and choosing an odd number between 1 and 7
D
drawing 1 card out of 25 cards and choosing a letter out of the alphabet.

Answers

I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.

Set of events " rolling a six-sided cube and drawing 6 marbles out of a bag " have an equally like chance of occurring.

Option B is correct.

Probability:

Probability of series of experiments shown below;

A. When spinning a spinner with 3 sections then probability of one section is [tex]\frac{1}{3}[/tex] .

 When tossing a coin, then probability of getting head or tail is [tex]\frac{1}{2}[/tex]

So that, set A has not equally like chance of occurring.

B. When rolling six-sided cube, probability of getting one number is [tex]\frac{1}{6}[/tex]

   When one marble is drawn out of 6 marble in a bag, then  probability is [tex]\frac{1}{6}[/tex]

Therefore, set B has equally like chance of occurring.

Learn more about the probability here:

https://brainly.com/question/24756209

The functions f(x) and g(x) are shown on the graph.
F(x) =x^2

What is G(x)?


Please help on a timer lol

Answers

The answer is A.) -x^2 -4

Guess what it says for brainliest

Answers

Answer:

Let's get this show on the road!

Step-by-step explanation:

I'm not sure how to explain it, i was just thinking of phrases that fit the spaces.

SORRY I'M TO "SMART"!!! PLZ HELP!!!!

Answers

Answer:

The area is 81.27

Step-by-step explanation:

Sorry for the late response, but I hope I helped and I always appreciate brainliest!!! :)

If you ever need me to answer a question, feel free to ask!

Answer:

area = 130.5 in²

Step-by-step explanation:

area = 1/2(6)(8.7)(5) = 130.5 in²

look at image tttyytytytytyt

Answers

Answer:

i looked, ur welcome :)

Step-by-step explanation:

Answer:

i would say the correct answer is c

Determine the number and nature of the roots.
2.2 + 12x = -4

Answers

Answer:

−0.516667

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12x+2.2=−4

Step 2:  Subtract 2.2 from both sides.

12x+2.2−2.2=−4−2.2

12x=−6.2

Step 3: Divide both sides by 12.

12x

12

=

−6.2

12

x=−0.516667

um HELP PLEASE ASAP I HAVE 6 MINS JSNDKJNKDN

Answers

Answer:

a

Step-by-step explanation:

ADFE - AACB. What is the length of DE? Diagrams are not drawn to scale.
С.
15
62
3
3072
B
D
X
E
45
A А

Answers

Answer:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Step-by-step explanation:

4, 6, 9, ... find the 7th term.

Answers

Answer:

13.5 is the next term

4, 6, 9, 13.5

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 3/2

formula= an=a1⋅r^n-1

Answer:

45.5625

Step-by-step explanation:

The pattern seems to be x + (x/2) = y where x is the previous number and y is the next number.

4 + (4/2) = 6

6 + (6/2) = 9

therefore we continue the pattern. In doing so we get:

30.375 + (30.375/2) = 45.5625

Simplify.
multiple choice

Answers

the answer is (d) i’m pretty sure

Find the slope of the line that passes through (10, 4) and (3, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

(3,-9)

Step-by-step explanation:

sorry if its wrong i tried...

(10,4),(3,1)

Subtract the y-coords, then the x-coords.

4-1=3

10-3=7

The slope is 3/7. Let me know if you need help graphing it too.

3 is the rise and 7 is the run. You start at (0,0) and you go up 3 units, then 7 units right. The first coordinate should be (7,3). Repeat until you have a straight line.

---

hope it helps

I dont know how to do this​

Answers

Answer:

Step-by-step explanation:

You need to use trigonometry. tana=opposite side divided by adjacent side so

tan32=11/x

x=11/(tan32)

x=17.6

A teacher has two large containers filled with blue, red, and green beads, and claims the proportions of red beads are the same in each container. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 13 red beads from the first container and 16 red beads from the second container.

Based on the 95% confidence interval, (–0.24, 0.11), is the teacher’s claim justified?

The teacher’s claim is not justified because the two sample proportions are different.
The teacher’s claim is not justified because the interval contains both positive and negative values.
The teacher’s claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container.
The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Answers

Answer:

D. The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Explanation:

100%

Answer: The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Step-by-step explanation: EDGE 2022

Numbers between 1 and 150 divisible by 4

Answers

Answer:

the answer is 147 I am not sure

There are 30 m&ms in a bowl. Exactly 2/3 of the m&ms in a bowl are blue. How many m&ms are blue?

Answers

Answer:

sorry i need points but i hope you find what your looking for!

Step-by-step explanation:

Answer:

20 of the M&M's are blue.

Step-by-step explanation:

[tex] \frac{2}{3} \times 30 \\ = 20[/tex]

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