Answer:
[you need 343 1 inch cubes]
Step-by-step explanation:
A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.
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[volume of a cube if the edge length is L, is L x L x L or L cubed]
A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed
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This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.
To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:
343/1=343 so you need 343 1 inch cubes.
Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
![\frac{x}{42.56}=\frac{x+10}{72.96}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B42.56%7D%3D%5Cfrac%7Bx%2B10%7D%7B72.96%7D)
by cross multiply we get;
![72.96x = 42.56(x+10)](https://tex.z-dn.net/?f=72.96x%20%3D%2042.56%28x%2B10%29)
using distributive property;![a\cdot (b+c) =a\cdot b + a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%20%28b%2Bc%29%20%3Da%5Ccdot%20b%20%2B%20a%5Ccdot%20c)
![72.96x = 42.56x+425.6](https://tex.z-dn.net/?f=72.96x%20%3D%2042.56x%2B425.6)
Subtract 42.56x from both sides we get;
![30.4x =425.6](https://tex.z-dn.net/?f=30.4x%20%3D425.6)
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
900 million.
Step-by-step explanation:
It's estimated that there are 900 million dogs in the world, as of 2018.
Answer:
A prime numbers are numbers which have only two factor
Answer: 9/14
Explanation. First, you have to find the least common denominator. The least common denominator is the lowest number you can use on the denominator to create a set of equivalent fractions
7 and 2 can both go into 14
Whatever number you use to multiply to equal 14, you do the same to the top.
It would look like this.
2/14 + 7/14
Then you add.
2/14 + 7/14= 9/14
You can’t simplify this fraction so this is your answer. Hope this helped!