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bonufazy [111]
3 years ago
13

Solve the following problem 2x + 4 + 5x = 8x -6 Please help

Mathematics
1 answer:
torisob [31]3 years ago
5 0
X=10

2X +4+ 5X = 8X -6
combine like terms on both sides
7X +4=8X -6
subtract the four on both sides
7X +4 = 8X -6
-4. -4
7X = 8x-10
subtract 8x from both sides
7X = 8X -10
-8x. -8x
-x = -10
Divide negative one from both sides to get the X by itself
-x/-1. -10/-1
x = 10
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4 years ago
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth tes
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You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
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Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
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