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hodyreva [135]
3 years ago
13

A student studied 18 hours in one week. What is the total number of hours he will have to study during the next week in order to

average 2 hours of study per day for the entire 14-day period?
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

Step-by-step explanation:

[(2 hours)/(1 day)](14 days)=(18+x)hours

Let's note that the unit of day is in the numerator and denominator.  It cancels

[(2 hours)/(1 day)](14 days)=(18 hours)+(x hours)

(2 hours)(14)=(18+x)hours

Let's note that the unit of hours is in the numerators of both sides of the equation.  It cancels

(2 hours)(14)=(18+x)hours

(2)(14)=18+x

28=18+x

10=x

HE WILL HAVE TO STUDY 10 HOURS.

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Question 7: $3945

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3 years ago
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
Amiraneli [1.4K]

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

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

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

#SPJ1

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