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

Answers

Answer 1

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 variationTo 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


Related Questions

Whats the slope-intercept form of y + 11 = -2(x + 1.5)

Answers

Answer:

y = -2x - 14

Step-by-step explanation:

y + 11 = -2(x + 1.5)

Distribute;

y + 11 = -2x - 3

Subtract 11 from both sides;

y = -2x - 14

Y= -2x -14so there you go bro

There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME ​

Answers

956.25 is the answer

Because 1 bottle is 212.5 grams of sugar you can just multiply that by 4.5 because there are 4 bottles and a half of a bottle

How is The difference of 1 and seven times a number is greater than eight times a number minus 4 written as an equation

Answers

Answer:

no bot really

Step-by-step explanation:

Help please and you’ll get the brainliest if you’re right

Answers

Answer:

65 degrees

Step-by-step explanation:

Answer:

Option B is correct 65°

Step-by-step explanation:

Apply the trigonometric identity sine

[tex]sin\ x=\frac{6.1}{6.7}\\\\sin\ x= 0.9104\\x=sin^{-1}(0.9104)\\x=65[/tex]

Do not forget to convert your calculator into degree form if it is set to radian.

Alright since you haven't studied trigonometry forget what i said here xD

The table given are the ratios of the respective angles 55, 65, 75.

First we need the adjacent side of the triangle. We have the opposite side of the triangle which is 6.1 and the hypotenuse which is 6.7 we use Pythagoras theorem

[tex]a^2+b^2=c^2\\a^2+(6.1)^2=(6.7)^2\\a^2=(6.7)^2-(6.1)^2\\a^2=7.68\\a=\sqrt{7.68}\\a=2.77 \\[/tex]

So now lets compare the ratios in table

Firstly

[tex]\frac{adjacent\ leg \ length}{hypotenuse\ leg \ length} = \frac{2.77}{6.7}=0.413\\\\\frac{opposite\ leg \ length}{hypotenuse\ leg \ length}=\frac{6.1}{6.7}=0.91 \\\\\frac{opposite\ leg \ length}{adjacent\ leg \ length}=\frac{6.1}{2.77}=2.2[/tex]

so we can see that all these values 0.413, 0.91, 2.2 correspond to the angle 65° so Option B is correct

Find m N. Please show me how to work problem 15 out.

Answers

Answer:

468

Step-by-step explanation:

You have to do 12x39

Please answer these! You only have to answer A, B,C, or D.

Answers

I would say option B

A 14 foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot
A. 16.5 feet
B. 18.0 feet
C. 14.6 feet
D. 13.4 feet

Answers

i
think your answer is D Ai’m not sure

Select the correct answer.
Two hot air balloons are flying above a park. One balloon started at a height of 3,000 feet above the ground and is decreasing in height at a rate of 40 feet per minute. The second balloon is rising at a rate of 50 feet per minute after beginning from a height of 1,200 feet above the ground.

Given that h is the height of the balloons after m minutes, determine which system of equations represents this situation.

A.
h = 3,000 + 40m
h = 1,200 - 50m
B.
m = 3,000 - 40h
m = 1,200 + 50h
C.
h = 3,000 - 40m
h = 1,200 + 50m
D.
h = 3,000m - 40
h = 1,200m + 50

Answers

Answer:

C

Step-by-step explanation:

Because c has the variables in the right spot and the other ones don't make scene

Answer:

h = 3,000 - 40m

h = 1,200 + 50m c.

Step-by-step explanation:

a store is making their prices up 145% what fraction best represents 145%​

Answers

Answer:

29/20.

Step-by-step explanation:

The fraction that best 145% is 29/20.

I need help please help

Answers

Answer:

Step-by-step explanation:

page 70/4

Reason 1. Given

Reason 2. Definition of angle bisectors (bisectors form ≅∠s)

Statment3. m∠2 =m∠3

Reason 4. Given

Reason 5. m∠1 +m2=90°, Reason 5. Definition of Complementary ∠s (they add-up to 90°)

Reason 6. because statment 2. and transition propriety ( if a=b and b=c then a=c)

Statment 7. ∠1 is complementary to ∠3

PLEASE HELP!!!
A. the function shown on the graph has a greater rate of change, but a lower starting point.
B. the function shown on the graph has a greater rate of change in a higher starting point.
C. the function shown on the graph has a smaller rate of change in a lower starting point.
D. the function shown on the graph has a smaller rated change, but a higher starting point. ​

Answers

Answer:

It's A

Step-by-step explanation:

5-4x-8y How many TERMS are present in this expression? 2. How many TERMS are present in this expression? List them: List them: Identify the terms, variables, coefficients, and constants in each expression.

Answers

Answer:

2 terms the terms are x and y

Answer:

Cry Shape Hearty

Step-by-step explanation:

Cry Shape Hearty

Explain how to find the rate of change when
given a graph.

Answers

the rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in ychange in x. Rates of change can be positive or negative.

Expression A Expression B Expression C (−5)(−0.4)(1.8) (-45)(-19)(-112) −1(5+17) Expression D Expression E Expression F (−5)(−0.4)(1.8)(−3.25) (-49)(-34)(-12)(-12) −1(3.5−7) How many expressions will have a product that is positive?

Answers

Answer:

Expressions A, E, and F

Step-by-step explanation:

In general, when negative integers are multiplied; if the negative integers are even, then the product would be positive. But if the negative integers are odd, then the product would be negative.

Thus,

A. (−5)(−0.4)(1.8) = (2.0)(1.8)

                           = 3.6

B. (-45)(-19)(-112) = (855)(-112)

                           = -95760

C. −1(5+17) = -1(22)

                 = -22

D. (−5)(−0.4)(1.8)(−3.25) = (2.0)(-5.85)

                                      = -11.7

E. (-49)(-34)(-12)(-12) = (1666)(144)

                                = 239904

F. −1(3.5−7) = -1(-3.5)

                  = 3.5

Thus expressions A, E and F have positive products.

Joe earns $2750 each month. Each month he puts 8% of his earnings into a saving account. How much will Joe have saved in a year?

Answers

Answer: Joe will save $2,640 a year

Step-by-step explanation:

2,750/100=27.5=1%

27.5*8=220=8%

220*12=$2,640 saved a year

Dilate the following points by a scale factor of 0,5. A(4,8), B (6, 7) C ( 9, 3). Indicate what type of dilation this is. Also, list the image of the figure A',B'C'.

Answers

Answer:

you should use formula

Answer:

I don't know the answer please tell me the answer what is your name please tell me the name

A survey was done to see if residents drive a car or ride the bus. Let C represent residents who drive a car and
B represent ride the bus. Which of the following represents residents who drive a car and do not ride the bus?
A. C⋃B
B.C⋂B
C.C⋂B
D.C⋃B

Answers

Answer:

     

Step-by-step explanation:

 

Answer:

d

Step-by-step explanation:

There are 30 birds in an enclosure at the zoo. 1/5 of the birds are native to North America. 1/3 of the birds are native to South America. The remaining birds are native to Australla. How many of the birds in the enclosure are Native to Australla? Plz helppppppppp

Answers

Answer:

Number of Australia birds = 14

Step-by-step explanation:

Given:

Total number of birds = 30

North america birds = 1/5 birds = 30/5 = 6  birds

South america birds = 1/3 birds = 30/3 = 10  birds

Find:

Number of Australia birds

Computation:

Number of Australia birds = Total number of birds - North america birds - South america birds

Number of Australia birds = 30 - 6 - 10

Number of Australia birds = 14

What is the solution to this rational equation? 24-x-8=4 A. x = -2 B. x = 2 C. x = 4 D. x = 14

Answers

Answer:x=14

Step-by-step explanation:

for plato users

The solution of the rational equation 24/(x-8) = 4 is x = 14.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A rational equation,

24/(x-8) = 4.

Simplifying,

x - 8 = 6

x = 8 + 6

x = 14.

Therefore, the value of x is 14.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

-4x = 20


Please can you help anything can help

Answers

Answer:

the answer is x=-5. a negative times a negative is a positive.

Answer:

x=-5

Step-by-step explantation

You divide both sides by -4

-4=20

  /

20/-4 = -5

So x=-5

Mrs.Garcia used 5 cups of flour to make 3 loaves of bread. Many can she make if she only has 33 cups of flour?

Answers

kkkkkkkkkkkkkkkkkkkkkk

Consider the function f(x) = (x+ 1)2 - 1. Which of the following functions stretches
fo) vertically by a factor of 4?
O A) f0 - (/ax+ 1)2 +3
O B) f9 = 1/ax+ 1)2 -4
Oo fo-4(x+ 1)2 - 1
OD) fo = 4(4x+ 1)2- 1

Answers

Answer:

C

Step-by-step explanation:

A coefficient of 4 would have to be added in front of (x+1)^2 in order to vertically stretch the function by a factor of 4.

The answer that demonstrates this is choice C: [tex]f(x) = 4(x+1)^2-1[/tex]

The functions stretches vertically by a factor of 4 will be f(x) = 4(x+ 1)² - 1. Then the correct option is C.

What is the equation of the parabola?

Let the point (h, k) is the vertex of the parabola and a is the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic function is given below.

f(x) = a(x+ 1)² - 1

If the value of the leading coefficient lies between 0 to 1. Then the parabola is stretched horizontally.

And if the value of the leading coefficient is greater than one. Then the parabola is stretched vertically.

The functions stretches vertically by a factor of 4. Then the value of the leading coefficient is 4. Then the equation will be

f(x) = 4(x+ 1)² - 1

Then the correct option is C.

More about the equation of parabola link is given below.

https://brainly.com/question/20333425

#SPJ5

Prove triangle ABD similar to triangle CBD.

Answers

Answer:

THANK YOU

Step-by-step explanation:

<3

PLEASE ANSWER QUICKLY
Put the following equation of a line into slope-intercept form, simplifying all fractions.

6x+10y= -80

Answers

Answer:

y=-0.6 X-8

Step-by-step explanation:

6x+10y=  -80

Subtract the positive 6x from both sides of the equation

This will make your equation look like 10y=  -80-6x

(If it helps you can rewrite the equation so it looks like 10y=  -6x  -80)

Divide both sides of the equation by 10. This will isolate your Y axis

Now your equation will look like y= (-6x  -80) / 10

I got y=  -0.6x -8

I hope this helps and it is correct :)

what is a coefficient

Answers

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Step-by-step explanation:

hi

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

my brain

Need this fast guys, please help a brother out

Answers

Answer: y=-6x+7

Step-by-step explanation:

When it is parallel it needs the same slope

4.a number added to 15 gives answer 61 the number is
44
45
46​

Answers

Answer:

46

Step-by-step explanation:

let the number added by this be X ,X+15 = 61 then solve

Answer:

46

Step-by-step explanation:

Let the unknown number be x

x+15=61

x=61-15

x=46

PLEASE HELPP!!! BRAINLIEST AND THANKS AND 5 STARS!!

Answers

Answer:

Step four

Step-by-step explanation:

When solving equations you have to flip the sign when you divide negative integers.

Answer:

from my observation there is no mistake but here is my solution

Step-by-step explanation:

-2n+6-5>9

-2n+1>9

-2n>9-1

-2n>8

divide both sides by-2

n>-4

8 + 3 (71 – 51)
Solve it's for a test!!!​

Answers

Answer:

68

Step-by-step explanation:

8 + 3 (71 – 51)

71-51= 20

20*3=60

60+8=68

PLEASE HELP,, MARKING BRAINLIEST!!!

Choose the similarity statement that best represents the triangles. Provide evidence.

A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.

Answers

Answer: D, these Triangles are not similar.

Step-by-step explanation:

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