Q:

What is the equivalent fraction?1)Drag the answer into the box to match the decimal. 0.7¯ ​7/99​​ 7/9​​ 70/100 ​​7/11​2)The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.Drag the equation into the box to match the description. A cube has a volume of 1433 in³ ​s=1433−−−−√2​ ​in.s = 1433³ in.​s=1433−−−−√3​ in.s = 1433 in. What is the equivalent decimal? Drag the answer into the box to match the fraction. 611 ​0.54¯¯¯¯​ 0.27¯¯¯¯​0.12¯¯¯¯​​0.54​

Accepted Solution

A:
What is the equivalent fraction?
 1)
 Drag the answer into the box to match the decimal.
 0.7
 7/99
 7/9
 70/100
 7/11
 For this case, what we are going to do is rewrite the decimal in the equivalent fraction.
 We have then:
 0.7 = 7/10
 We buy a fraction that is equivalent:
 7/99 (can not be rewritten)
 7/9 (can not be rewritten)
 70/100 = 35/50 = 7/10 (equivalent fraction)
 Answer:
 The equivalent fraction is:
 70/100


 2)
 The volume of a cube can be found using the equation V = s³, where V is the volume and is the measure of one side of the cube.
 Match the equation for how to solve for the side length of a cube to its description.
 Drag the equation into the box to match the description.
 A cube has a volume of 1433 in³
 S = 1433 ---- √2 in.s = 1433³ in. S = 1433 ---- √3 in.s = 1433 in.
 V = s³
 The first thing we must do for this case is to replace the volume in the given expression.
 We have then:
 1433 = s³
 Clearing s have:
 s = (1433) ^ (1/3)
 Answer:
 The equation for how to solve for the side length of a cube is: s = (1433) ^ (1/3)
 equivalently:
 s = 1433 ---- √3
 What is the equivalent decimal?
 Drag the answer into the box to match the fraction.
 611
 0.54¯¯¯¯
 0.27¯¯¯¯ 0.12¯¯¯ 0.54
 The first thing we must do for this case is to rewrite the expression.
 We have then:
 6/11
 By doing the corresponding division we have:
 6/11 = 0.54
 Answer:
 the equivalent decimal is:
 0.54