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2 years ago

Find the missing value so that the two points have a constant of proportionality of ½. (14,7) and (6,y) *

Mathematics

1 answer:

melomori [17]2 years ago

6 0

Answer:

y=3

Step-by-step explanation:

$\frac{7-y}{14-6}$ = $\frac{1}{2}$

$\frac{7-y}{8}$ = $\frac{1}{2}$

7-y = 4

y=3

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You give 1/2 up a $46,000 salary to go back to school for 5 years. The total cost for going to school is $22,000. How much money

Ket [755]

The individual needs to earn $74,750 salary per year in order to recover the investment in 4 years.

What salary amount makes the individual as they were without a salary cut?

By the time the individual resumes back for work after 5 years, they need to earn their previous salary of $46,000 and recover the lost salaries, which is half of $46,000 lost in the last 5 years.

Total salaries lost=1/2*$46,000*5years

Total salaries lost=$115,000

Because the salaries lost needs to be recovered over 4 years, the extra earnings over and above the $46,000 in 4 years is the total salaries lost divided by 4 years

extra salary per year=$115,000/4

extra salary per year=$28,750

Total salary now=prior salary+ extra salary per year

Total salary now=$46,000+$28,750

Total salary now=$74,750

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1 year ago

If 7x+2a=3x+5a then x is equivalent to what

solniwko [45]

7x+2a=3x+5a

7x-3x = 5a -2a

4x = 3a

x = 3a/4

4 0

3 years ago

Read 2 more answers

Elsa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

charle [14.2K]

Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

7/80= x/63 |Cross Multiplying to solve for x

x = 7*64/80

x = 5.6mi

Hope this helps!

7 0

2 years ago

An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu

Agata [3.3K]

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

$320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3$

So, it will circulate 11.85 cubic yard of air per minute.

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3 years ago

How much money does Carl earn per hour? Show your work. You will not receive full credit for a

Komok [63]

From the table showing in the diagram, Let's pick the data in the first row:

Time = 3 hours

Money earned = $45

The amount of money Carl earns per hour is calculated as:

3 hours = $45

1 hour = ?

Cross Multiply

1 hour x $45 / 3 hours

= $15

Let's confirm our answer using the data in the last column

Time = 10 hours

Money earned = $150

The amount of money Carl earns per hour is calculated as:

10 hours = $150

1 hour = ?

Cross Multiply

1 hour x $150 / 10 hours

= $15

Therefore, the amount of money Carl earns per hour is $15

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2 years ago