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3 years ago

What is the value of x?

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

x = 16

Step-by-step explanation:

(x+2) + (7x+2) + (3x) = 180

Add like terms

7x + x + 3x = 11x

2 + 2 = 4

11x + 4 = 180

Subtract 4

11x + 4 = 180

11x = 176

Divide by 11

11x = 176

x = 16

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Answer:

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Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

$\displaystyle \frac{x_1+x_2+...x_n}{n}$

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as $x$ .

$\displaystyle \frac{98+72+87+x}{4} \geq 86$ (since we want AT LEAST an 86).

Let's solve this inequality for x.

$\frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4$
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$257 + x - 257 \geq 344 - 257$
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So, Alex must score at least an 87% on his next quiz to have an average of 86%.

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