1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natima [27]
2 years ago
8

Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=7 1/2 when x=3

Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer:

y/x = 2.5

Step-by-step explanation:

y ∝ x

change ∝ to = by adding constant k or c

y = kx

Divide both sides by x

y/x = k, also k = y/x

Input the values

k = (7 1/2)/3.  Change 7 1/2 to improper fraction to give 15/2

k = (15/2)/3

k = \frac{15}{2} ÷ 3  

Change the division sign to multiplication which will change 3 to its inverse(1/3)

k = \frac{15}{2} × \frac{1}{3}

k = \frac{15}{6}

Divide the numerator and denominator by 3 to get 5/2

k = 5/2

From y/x = k,input k into the eqn

y/x = 5/2

y/x = 2.5

You might be interested in
Can anyone give me this answere
nika2105 [10]

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi

3 0
1 year ago
If Casey deposits $16 into his lunch account each week, how much will be deposited in 5 weeks? If Casey decides to buy lunch for
Ivanshal [37]

Answer:

The exact number would be 26.66666667 but it would be 26.

Step-by-step explanation:

Usually when dealing with decimals anything 5 and up would be rounded up but since we are dealing with money we don't round up. Since his friends lunch cost $3 every lunch the most he will be able to buy is 26. He will have about $2.5 left over which he cannot buy a lunch with so thats why you dont round up.

8 0
2 years ago
if a rug was 5 times as long as thia record sheet, how long would it be? measure the length of this record sheet in centimeters.
vlada-n [284]

<u>Answer: </u>

If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter

<u>Solution: </u>

Given that a rug was 5 times than the record sheet.

Let assume the length of the record sheet = x units

Then from given information,

Length of the rug = 5x units

Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.

Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is

x meter = x \times 100 = 100x cm

Conversion factor will change accordingly to the unit of given length which needs to be convert into centimeter.  

4 0
2 years ago
Why is 4 laps in 10 minutes and 6 laps in 15 minutes proportional
Shtirlitz [24]
If you break it down it goes to 2 laps every 5 minutes. So any set that follows this "pattern" would be proportional
3 0
3 years ago
A loan of $900 will be repaid in 36 installment of $30.22 each .what is the finance charge for the loan
Marat540 [252]

i hope this is what you are looking for but 36 times 30.22 equals 1087.92 subtract from 900 which is $187.92

<h2>$187.92 for finance charge for loan</h2>
8 0
3 years ago
Other questions:
  • Help it’s math college readiness
    7·2 answers
  • Joe makes $1,298.50 in one week. How much does he make in one day?
    12·1 answer
  • Please tell me and explain
    11·1 answer
  • -5/8x+2&gt;56/16 please help anything will do
    11·1 answer
  • What is the whole number of 729? Please helppp
    13·2 answers
  • The base of this right prism is a rectangle. <br><br><br><br> What is the surface area of the prism?
    7·1 answer
  • On a field trip, there is a ratio of 15 students to 1 teacher. If there are 90 students on the field trip, how many teachers are
    5·1 answer
  • What is the mode of the data set ? <br> 3,3,5,5,5,7,7,8,15,15
    15·2 answers
  • The following graphs show the performance of two stocks over the first five months of the year. A graph titled Stock A B C has m
    6·2 answers
  • 14. Higher Order Thinking Mr. Kent
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!