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
shepuryov [24]
3 years ago
10

The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

The equation which correctly relates x and y is y = 4x

Step-by-step explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • To find the value of k, use the initial values of x and y

∵ The variables x and y vary directly

→ Use the form of the equation above

∴ y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

∴ x = 13 and y = 52

→ Substitute them in the equation above to find k

∵ 52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

∴ 4 = k

∴ The value of k is 4

→ Substitute it in the equation

∴ y = 4x

∴ The equation which correctly relates x and y is y = 4x

You might be interested in
Preston can paint 375 square feet in 3 hours. At the same rate, how long would it take him to paint 812.5 square feet?
charle [14.2K]

Answer:

6.5 hours

Step-by-step explanation:

First try to find the rate he can paint per hour

375 ÷ 3 = 125 ft^2 per hour

Then try to find how long it should take it for him to paint 812.5 sq ft

812.5 ÷ 125 = 6.5 hours

6 0
3 years ago
Sarah calculates that she spends 15% of a school day and science class if she spends 75 minutes and science how many minutes doe
Monica [59]
.15x = 75 Divide both sides by .15 you get 500 minutes
4 0
3 years ago
Question
Zolol [24]
D. The last one because slope is -99 which is decresed
5 0
2 years ago
Someone help please!!
e-lub [12.9K]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
James is at a gift sale where everything costs $4 (tax included).
pantera1 [17]

Answer:

5 gifts

Step-by-step explanation:

Given information:

  • Cost of one gift = $4
  • Total money = $50
  • Money left after purchasing gifts = at least $28

Let x = greatest number of gifts James can buy

Create an inequality with the given information:

⇒ 50 - 4x ≥ 28

<u>Solve the inequality</u>

Add 4x to both sides:

⇒ 50 - 4x + 4x ≥ 28 + 4x

⇒ 50 ≥ 28 + 4x

Subtract 28 from both sides:

⇒ 50 - 28 ≥ 28 + 4x - 28

⇒ 22 ≥ 4x

Divide both sides by 4

⇒ 22 ÷ 4 ≥ 4x ÷ 4

⇒ 5.5 ≥ x

⇒ x ≤ 5.5

We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining.  Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.

3 0
1 year ago
Read 2 more answers
Other questions:
  • Can somebody help me with this problem
    7·1 answer
  • Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c
    11·1 answer
  • Sharon and Tim each opene a savings account on the same day. Sharon started by putting $15 in her account, and she will deposit
    10·2 answers
  • After a power failure, the temperature in the freezer increased at an average rate of 2.5 degrees Fahrenheit per hour. The total
    6·1 answer
  • What plus what equals 4 but multiplies to equal -5?
    12·1 answer
  • A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes
    7·1 answer
  • 4x - 4 + 112 = 23x - 6
    10·2 answers
  • Plsss helppppp I need it right now plss :(
    9·2 answers
  • The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest t
    12·1 answer
  • QUICK HELP ME DUE IN 3 MINUTES 123456789x123456789
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!