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3 years ago

Find the sum. (- 7/2 z + 4) + (1/5 z - 15) HELPPP

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

Answer:

-33/10z - 11

Step-by-step explanation:

since all of these terms are being added, there are no need for the parenthesis

-7/2z +4 + 1/5z -15

add like terms (to add the fractions, convert them to a common denominator)

-7/2z + 4 + 1/5z - 15

-35/10z + 2/10z - 11

-33/10z - 11

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

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The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

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