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
AysviL [449]
2 years ago
8

Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

#SPJ1

You might be interested in
Choose the correct answer: 15 is 3% of<br> (A) 1.5<br> (B) 2.5<br> (C) 500 <br> (D) 5000
eduard

Answer:

c) 500

Step-by-step explanation:

3% = 0.03

multiply the decimal from of 3% by 500:

500 x 0.03

solve:

500 x 0.03 = 15

3 0
3 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
3 years ago
Cheyenne live 7/10 miles from school.a fraction in hundredths
Tems11 [23]
7/10 in hundredths is 70/100
8 0
3 years ago
1. Set up the following word problem as an equation and solve. Then write your answer as a complete sentence.
klasskru [66]
<span>a/b = 3/5 ----- a = (3b)/5
a + b = 136 --- (3b)/5 + b = 136
3b + 5b = 680
8b = 680
b = 85
a = (3b)/5 = (3 * 85)/5 = 51

a = 85 and b = 51</span>
8 0
3 years ago
Read 2 more answers
A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? A =
Sati [7]

Answer:

Step-by-step explanation:

Y = mx + b

slope(m) = 3/4

(3,7)...x = 3 and y = 7

now we sub...we r looking for b, the y int

7 = 3/4(3) + b

7 = 9/4 + b

7 - 9/4 = b

28/4 - 9/4 = b

19/4 = b

equation is : y = 3/4x + 19/4...lets put this in standard form

y = 3/4x + 19/4

-3/4x + y = 19/4...multiply by -4

3x - 4y = -19 <== standard form

if (x,5) is on the line

3x - 4y = -19.....sub in 5 for y

3x - 4(5) = -19

3x - 20 = -19

3x = -19 + 20

3x = 1

x = 1/3 <====so point a = (1/3,5)

4 0
3 years ago
Read 2 more answers
Other questions:
  • which rate can you set 7 miles over 1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour
    14·1 answer
  • In the system of equations below, which variable would it be easiest to solve for? x + 4 y = 14. 3 x + 2 y = 12 The easiest to s
    12·1 answer
  • 1 ft. = 12 in<br> Convert 4 feet to inches.<br> Convert 48 inches to feet.
    14·1 answer
  • Round to the nearest ones place for the problem as follows......3.9
    9·2 answers
  • A. Show
    13·1 answer
  • Sara found 58 seashells on the beach,she gave Dan some of her seashells.She has 13 seashells left.How many seashells did she giv
    14·2 answers
  • Pl hell any thing is appreciated I will give Brainly
    9·2 answers
  • Mrs. Fekin bought herself a new water jug. The jug of water holds 64 ounces. If she drinks 4 ounces per hour, after how many hou
    12·1 answer
  • Evaluate the piecewise function for the given values of x by
    8·1 answer
  • There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!