The sum of -4 and 8 times a number is multiplied by 3. The result is 15 less than 25 times the number. What is the number?
a. -12
b. 6/7
c. 0
d. 3
e. none of the above
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OpenStudy (shadowlegendx.):
This is simply changing words into an equation/expression
OpenStudy (anonymous):
i got none of the above.
OpenStudy (shadowlegendx.):
Do you know what the "sum" means?
OpenStudy (anonymous):
yes. sum is the answer.
OpenStudy (anonymous):
the total.
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OpenStudy (texaschic101):
the sum means add
OpenStudy (anonymous):
yeah i know that. its the total in an addition problem though
OpenStudy (shadowlegendx.):
\[-4 + 8 \times y \times 3 = 25 - 15 \times y\]
OpenStudy (anonymous):
That's the exact same problem i wrote out from the question.
OpenStudy (shadowlegendx.):
Ok good!
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OpenStudy (anonymous):
but when i plugged in the numbers i didn't get anything that matched
OpenStudy (shadowlegendx.):
Now we just do PEMDAS and like terms to solve
OpenStudy (shadowlegendx.):
-4 + 24y = 10y
OpenStudy (shadowlegendx.):
From that we would just further isolate the variable to get
\[y = \frac{ 2 }{ 7 }\]
OpenStudy (anonymous):
that's what i got as well, which isn't one of the answer choices. so that would make E. none of the above correct, right?
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OpenStudy (shadowlegendx.):
As we can all see, that is not one of the answers so it must fall into the "none of the above" category :)
OpenStudy (shadowlegendx.):
Yes, you are correct!
OpenStudy (anonymous):
alright, i had all the right steps then. i'm just trying to check over my answers because i'm studying for an upcoming exam right now. thank you :)