Answer:
x = 9
Step-by-step explanation:
1/4(8x+12) =21
1/4 * 8x = 2x
1/4 * 12 = 3
2x + 3 = 21
21 - 3 = 18
2x = 18
18/2 = 9
x = 9
B which is 0 would be in the range because it is "less than or equal to" 0.
C is also not in the range though. This problem has more than one right answer. C could be a correct answer as well.
16 halves......... add them all together and multiply by 2
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
a fraction that has a denominator of a power of 10
