Peyton's mistake was in Step 3, so the correct answer is C.
They added an extra negative sign when it wasn't needed.
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I got 114688 by going up x4
Answer:
16/21
Step-by-step explanation:
We are given the equation 3x(5 + 2) = 16.
By order of operations, let's add the two numbers in the parentheses first:
3x(5 + 2) = 16
3x(7) = 16
Now, we must multiply 3x by 7:
3x * 7 = 16
21x = 16
Divide both sides by 21:
x = 16/21
The answer is thus 16/21.
<em>~ an aesthetics lover</em>
Answer:
x=8, y = 0
Step-by-step explanation:
Substitution is easier for this problem.
3x + y = 24 ---> y = 24 - 3x
x^2 + y = 64
Substitute y
x^2 + 24 - 3x = 64
x^2 - 3x = 40
Factor out x
x(x-3) = 40
Pretty much you can guess and check
x = 8
If x = 8, y = 0
or
x^2 - 3x = 40
Complete the square
x^2 - 3x + 2.25 = 42.25
(x-1.5) ^2 = 42.25
Square root both sides
x - 1.5 = 6.5
x=8
x - 1.5 = -6.5
x = -5
Check
x = -5 doesn't work, so x = 8 and y = 0
5 7/32 = 167/32
5/32 + 5/32 (2 wall thicknesses of the pipe) =10/32
167/32 - 10/32 = 157/32
= 4 29/32