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n200080
3 days ago
14

10. Elaine is buying cube shaped blocks to add to her mantle as decoration. She needs the dimensions of the cubes to be less tha

n 5 inches along each edge. Which of the following would work according to the size she needs? ece of ch shows to find ? A. Cubes with a volume of 216 in.3 B. Cubes with a volume of 125 in.3 C. Cubes witha volume of 64 in.3 D. Both B and C would work
Mathematics
1 answer:
zzz [9K]3 days ago
3 0

Response: CHOICE C.

Detailed explanation:

The formula for calculating the volume of a cube is:

V=s^3

Here, "s" represents the length of a side of the cube.

To find "s":

s=\sqrt[3]{V}

We will evaluate each option to discover which volume meets her requirements:

A. Plug V=216in^3 into s=\sqrt[3]{V}, then:

s=\sqrt[3]{216in^3}=6in

B. Plug V=125in^3 into s=\sqrt[3]{V}, then:

s=\sqrt[3]{125in^3}=5in

C. Plug V=64in^3 into s=\sqrt[3]{V}, then:

s=\sqrt[3]{64in^3}=4in

From our findings, it is clear that cubes with a volume of 64in^3 would be suitable.

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In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
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Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

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Answer:

Find below:

Step-by-step explanation:

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This indicates Kendra has made an error by purchasing the 40 bouquet pack at $120

Hope this helps.

Good Luck

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