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marshall27 [118]
3 years ago
15

What is the volume of the following rectangular prism?

Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

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Simplify the expression below.<br> 12b + 86 + 5b<br> 0 25 + b<br> O 25(3b)<br> 25b<br> 3b
Alja [10]

(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

1

:

Equation at the end of step 1

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

                     ((15•(b3))•(c4))

STEP

2

:

Equation at the end of step

2

:

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

                       ((3•5b3)•c4)  

STEP

3

:

Equation at the end of step

3

:

                    (52b(-1)•c(-3))

 (((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

                       (3•5b3c4)  

STEP

4

:

           52b(-1)c(-3)

Simplify   ————————————

            (3•5b3c4)  

Dividing exponential expressions :

4.1    b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2    c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3    52   divided by   51   = 5(2 - 1) = 51 = 5

Equation at the end of step

4

:

                      5  

 (((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

                    3b4c7

STEP

5

:

Equation at the end of step

5

:

                         5  

 (((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

                       3b4c7

STEP

6

:

Canceling Out :

6.1    Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2    c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3      Canceling out  3  as it appears on both sides of the fraction line

Equation at the end of step

6

:

  20

 ——— • (2•5b(-5)c)

 c13

STEP

7

:

Multiplying exponents:

7.1    22  multiplied by  21   = 2(2 + 1) = 23

Multiplying exponents:

7.2    51  multiplied by  51   = 5(1 + 1) = 52

Dividing exponential expressions :

7.3    c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

  200

 —————

 b5c12 Answer:

Step-by-step explanation:

5 0
3 years ago
Carmen worked more than 40 hours last week and earned $352.95. Her regular hourly pay rate is $7.80. After 40 hours, she is paid
posledela

She worked 50.5 hours last week.

7.80x40=312

352.95-312=40.95

40.95/4.90=10.5

10.5+40=50.5

4 0
3 years ago
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20 for this question needing help
Radda [10]

Step-by-step explanation:

option C is the answer.

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Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. Wh
lukranit [14]

Answer:

5

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

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We can simplify the equation if we add 3x to both sides, which then leaves us with this.

(A)x=5x

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

A=5

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

(x+1)(2x^{2}-3x+5)

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

2x^{3}-x^{2}+2x+5

8 0
3 years ago
What is the Difference Between a 16-Ounce Brick and a Carpenter?
Andrew [12]

One weighs a pound, and the other pounds away!

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3 years ago
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