Answer: K = 44
Explanation:
K + 12 = 56
K = 56 - 12
K = 44
Answer:
Bill spent $988 on taxes.
Step-by-step explanation:
First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:
$6,000*0.4=$2,400
Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.
Let's consider that:
x=taxes
y=groceries
With the information we can write the following:
x+y=2,400 (1)
x=0.7y (2)
You can replace 2 in 1:
0.7y+y=2,400
1.7y=2,400
y=2,400/1.7
y=1,412
Then, you can replace the value of y in 2:
x=0.7(1,412)
x=$988
According to this, Bill spent $988 on taxes.
Answer:
Well a number is (x) {unknown}
Its 17 more
So x+17=85
Now solve
subtract 17 on both sides
x=68
So the number is 68
Luis is wrong because 8 to the third power is not 24, but is 512. He multiplied 8 by 3 instead of doing 8x8x8, so Luis made an incorrect claim.
The factors of the given expression are x , x - 2 and x - 4
![V(x)= x^{3}- 6x^{2}+8x \\ \\ V(x)=x( x^{2} -6x+8) \\ \\ V(x)=x( x^{2} -2x-4x+8) \\ \\ V(x)=x[x(x-2)-4(x-2)] \\ \\ V(x)=x(x-2)(x-4)](https://tex.z-dn.net/?f=V%28x%29%3D%20x%5E%7B3%7D-%20%206x%5E%7B2%7D%2B8x%20%5C%5C%20%20%5C%5C%20%0AV%28x%29%3Dx%28%20x%5E%7B2%7D%20-6x%2B8%29%20%5C%5C%20%20%5C%5C%20%0AV%28x%29%3Dx%28%20x%5E%7B2%7D%20-2x-4x%2B8%29%20%5C%5C%20%20%5C%5C%20%0AV%28x%29%3Dx%5Bx%28x-2%29-4%28x-2%29%5D%20%5C%5C%20%20%5C%5C%20%0AV%28x%29%3Dx%28x-2%29%28x-4%29%20)
So the expression for height and length are x and x - 4
