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3 years ago

Which table shows a proportional relationship between x and y?

Mathematics

1 answer:

swat323 years ago

8 0

Answer: C

Step-by-step explanation:A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

These fractions are not equal. This is not proportional.

x 2 3 4 5

y 7 9 11 13

These fractions are not equal. This is not proportional.

x 3 7.5 15 20

y 1 2.5 4 6

These fractions are not equal. This is not proportional.

x 3 6 8 10

y 12 15 18 20 HOPE IT HELPS:P

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Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h

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Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the amount Harry earns

y is the amount Hamish earns

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y = (26-1)*4/5

y = 20

the answer is

<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>

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3 years ago

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A university's freshman class has 6200 students. 4836 of those students are majoring

WINSTONCH [101]

According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics = (Number of students majoring/ Economics Total number of students) x 100

= $\frac{4836}{6200}$ x 100

= 78%

According to the solving 78% of the freshman class are Economics majors.

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1 year ago

Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.

liraira [26]

Answer:

1, 3, 5, 6 I hope that's correct for you

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3 years ago

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James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

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