Four times a number increased by seven must be at least 31 but at most 55. Which interva

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

6 $\leq$ x $\leq$ 8

Step-by-step explanation:

We'll represent the number with the expression 4x + 7

Then, we'll set up the inequality:

31 $\leq$ 4x + 7 $\leq$ 55

24 $\leq$ 4x $\leq$ 48

6 $\leq$ x $\leq$ 8

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What is the value of n in the relationship 8n+9=-n+5

vitfil [10]

Subtract 5 from both sides.

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Subtract 8n from both sides.

$4 = -9n$

Divide both sides by -9 to solve for n.

$- \frac{4}{9} = n$

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diamong [38]

Answer:

Choices C and D

Step-by-step explanation:

The most simplest way is just to solve each one and see which two have the same answer as the first expression.

But you could also see that both of the $\frac{4}{7}$ are going to cancel each other out so you are left with $-\frac{8}{9} +\frac{9}{8}$ which is also choice C.

For choice D I distributed the negative one to the insides of the parenthesis that left me with $-\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}$ which is the same expression as the first one.