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Maru [420]
3 years ago
8

a rectangular prism with dimensions 3 by 4 by 8 has the same volume as a different rectangular prism with dimensions 4 by 4 by w

hat?
Mathematics
1 answer:
Alja [10]3 years ago
8 0

let's recall that the volume of a rectangular prism is simply the product of its 3 dimensions.

so the volume for the first one is simply 3*4*8 = 96.

now, let's do some quick prime factoring of that 96

96 = 2*2*2*2*2*3

since we know the factors of 96, and we can rearrange them in any way we wish and will always have a product of 96, well, le'ts do some rearranging for the second prism.

the second prism has 4 and 4, namely 2*2 and 2*2, what's leftover? 2*3.

so the second prism must be (2*2) * (2*2) * (2*3), namely a 4x4x6.

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17. A company wanted to determine what percentage of its employees stayed for at least 1, 2, and
Vikki [24]

Answer:

Option B. 0.71

Step-by-step explanation:

There are 200 males and 300 female employees in the company.

The percentage of its employees are given who stayed for at least 1, 2 and 3 years.

                    1 year          2 years          3 years

Male              0.67              0.45             0.20

Female         0.73               0.64              0.39

Number of male employees who stayed at least one year = 0.67 × 200

                                                                                                 = 134

Number of female employees who stayed at least 1 year = 0.73 × 300

                                                                                               = 219

Total employees who stayed at least 1 year = 134 + 219 = 353

Total employees in the company = 200 (males) + 300 (females)

                                                       = 500 employees

Probability that an employee stayed for at least one year = \frac{353}{500}

                                                                     = 0.706 ≈ 0.71

Option B 0.71 is the answer.

8 0
3 years ago
Read 2 more answers
What expression is equivalent to -15x + 39? *
Nookie1986 [14]

Answer:

-15x + 39 = -3(5x - 13)

Step-by-step explanation:

a. -3(5x - 13) = -15x + 39

b. -3(5x + 13) = -15x - 39

c. 3(5x - 13) = 15x - 39

d. 3(5x + 13) = 15x + 39

7 0
3 years ago
What is 25% of 24?<br> What is 15% of 60?<br> 9 is what percent of 72
JulsSmile [24]

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

\frac{part}{whole} =\frac{part}{whole}  Where all the percents (except 100) would go in part

and the whole number would go in whole

\frac{25}{100} =\frac{?}{24}  Then multiply 24 × 25 ÷ 100 = 6

\frac{15}{100} =\frac{?}{60}  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

7 0
3 years ago
A student had 500 of water in a water bottle . She drank 30 % of the water before soccer practice practice drank of the water mu
Musya8 [376]
The student has 350 milliliters of water on the water bottle after she drank 30% of it.

30%=0.30
500 × 0.30=150
500-150=350
7 0
3 years ago
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Show the work please
s2008m [1.1K]
683 decided. By 12= 57
6 0
3 years ago
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