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Crank
3 years ago
15

Find an equivalent ratio of 3:7 by filling the missing number. 3:7 = 12: Enter the answer

Mathematics
1 answer:
Katena32 [7]3 years ago
8 0
28
3/7 = 12/x
x = (12*7)/3
x = 84/3
x = 28
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The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)
Misha Larkins [42]

ANSWER

The sphere is 10762 cubic centimeters bigger than the cube.

EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

V=\frac{4}{3}\pi r^3

where r = radius

The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}

The volume of a cube is given as:

V=s^3

where s = length of the side

The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}

Therefore, the difference in the volumes of the sphere and cube is:

\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

6 0
1 year ago
Mrs. Bendit’s 1st Block class has 28 students. There are 7 girls in the class. What percent of boys are in the class?
Gemiola [76]

Answer:

Boys: 75%

Girls: 25%

Step-by-step explanation:

Total: 28 Students: 100%

7 Girls in clas

28(total)-7 (girls)= 21 Boys in class

__________________

If we divide the amount  boys OR girls ( depending on which gender) after the toal and move the decimal to the right twice after dividing) we will get our answer.

Formula:

(Amount of Boy or girls) = x

X/28

So since we are trying to get the percentages of boys, we will replace X with the amount of boys

21/28 = .75 ( then move the decimal to the right TWICE) =  75  

Then you should get your percentages: 75%  Also if your lookings for girls percentages, you basically subtract 75 ( boys percentages) with the total percentages ( 100) then you should get your answer for the girls: 25%

7 0
2 years ago
Read 2 more answers
The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo
torisob [31]

Let x = total sales of baked goods      remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

                                     .20x/.20 = $600/.20

           

                                                x = $3000 the total sales of baked goods

CHECK:  20% times $3000 = .20 times $3000 = $600

4 0
3 years ago
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