The value of y varies directly with x. If x = 4, then y = 20.

What is the value of x when y = 60?


5

7

12

44

Answers

Answer 1

Answer: 12

Step-by-step explanation:

Since value of y varies directly with x, we introduce a constant, k which will give:

y = kx

If x = 4, then y = 20 we then calculate the value of k.

y = kx

20 = 4k

k = 20/4

k = 5

We then find the value of x when y = 60. This will be:

y = kx

60 = 5x

x = 60/5

x = 12

The value of x is 12 when y is 60


Related Questions

17) Solve. 4 -2x = 10 A) -7 B) -3 0 D) 3​

Answers

-3

Step-by-step explanation:

4 - 2x = 10

-4 -4

-2x = 6

÷ -2 ÷ -2

x = -3

1. Which expression has a value of 30 when x = -1 and y = 3? A. (x - 3^2) · y - 6 B. (x - 3^2) · (y - 6) C. x - 3^2 · (y - 6) D. x - 3^2 · y - 6

Answers

Answer:

B. (x - 3²)(y-6)

Step-by-step explanation:

 Find the expression with a value of 30;

  when x  = -1 and y = 3:

    A.  (x - 3²).y-6

            (-1 - 9).3-6 = -10 x 3 -6  = -30 - 6 = -36

  B.  (x - 3²)(y-6)

           ( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30

 C.  x - 3² . (y-6) = -1 - 9.(3-6)

                          = -1-9.-3

                          = -1 - 9 x -3

                          = -1 + 27

                          = 26

D. x - 3².y-6 = -1 - 9. 3 - 6

                    = -1 - 27 - 6

                    = -34

. Mr. Sanders sells boats and works on commission only, with no base salary. He earned
$4,500 on the sale of a $27,000 boat.
This commission income for a sale is based on a constant rate of change for his pay at
the company.
If the relationship between his sales in dollars and his commission in dollars is
graphed, it would form a straight line. What would be the slope of this line?

Answers

Answer:

slope =

; Mr. Sanders earns $1 commission for each $6 dollars in sales

Step-by-step explanation:

no steps needed


2
x
4
+
20
x
3
+
48
x
2
−2x
4
+20x
3
+48x
2

Answers

Answer: =296

Step-by-step explanation: −2*4=-8+20=28*3=84+48=132*2=164−2=162*4+20*3+48*2= 296

Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4,8). Select all that apply.​

Answers

Answer:

A, 6 and B, 4

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

16=x

Step-by-step explanation:

the two sides are equal, soo i set them equal to each other and add 18 to 16 then divide each side by two and get 16 = x

The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14). Write an equation that represents this new path l. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.​

Answers

Answer:

y=1/4x+13

Step-by-step explanation:

Determine triangle type

Answers

Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

Answer:

isosceles acute

solve for x -5(-x+1)-3x-1=-12

Answers

Answer:

x = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

x - 5(-x + 1) - 3x - 1 = -12

Step 2: Solve for x

Distribute -5:                                   x + 5x - 5 - 3x - 1 = -12Combine like terms:                       3x - 6 = -12Add 6 to both sides:                       3x = -6Divide 3 on both sides:                  x = -2

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply:                             -2 - 5(2 + 1) + 6 - 1 = -12Add:                                   -2 - 5(3) + 6 - 1 = -12Multiply:                             -2 - 15 + 6 - 1 = -12Subtract:                            -17 + 6 - 1 = -12Add:                                   -11 - 1 = -12Subtract:                            -12 = -12
i got -3 i don’t know if it’s right by looking at the other answers

charlie reads 1 3/7 pages every minute 2/3 charlie reads at a constant rate
How many pages does he read per minute?

Answers

Answer:

5 pages\

Step-by-step explanation:

Answer: He reads 2 1/7 pages per minute.

Step-by-step explanation:

If you divide 1 3/7 by 2/3, you’ll get your answer.

2. Suppose there are 50 cats in a neighborhood. The ratio of cats to dogs is 2/1 . many dogs are in the neighborhood? (4 points)

Answers

Answer: 25 Dogs

Reason: If the ratio of cats to dogs is 2/1, there are 2 cats for every 1 dog. That would mean that the number of cats is double the number of dogs. 25 x 2 = 50

y = x + 1
y=-x + 5
is there an ordered pair that is a Solution to both of these linear equation?
Explain your thinking ​

Answers

[tex]y=x+1[/tex]

[tex]y=-x+5[/tex]

[tex]x+1=-x+5[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

[tex]y=x+1[/tex]

[tex]y=2+1=3[/tex]

The ordered pair is [tex](2,3)[/tex].

Hope this helps.

The sum of 5% of a number and nine is 16

Answers

Answer:

This can be written algebraically as 5% ⋅ x + 9 = 16. If you want to solve for x, you’ll get x=140

Step-by-Step Explanation:

The attached picture is how to solve for x step-by-step.

Hope this helps and answers your question! :)

5x-y=1/4 yea i need help lol

Answers

Answer:

x = (y+1/4)/5

Step-by-step explanation:

graph{y=5x-1/4 [-10, 10, -5, 5]}

Can someone please help I'm stupid
1.25x - 6.50 > 60

Answers

Answer:

x>53.2

Step-by-step explanation:

1.25x-6.50>60

1.25x>60+6.50

1.25x>66.50

1.25x/1.25>66.50/1.25

X>53.2

Answer: X>53.2

A triangle with the side lengths of 8, 15, 17.5 form a right triangle:

A. True
B. False
C. Sometimes
D. None of the above​

I would appreciate the help.

Answers

It's true, just draw the sides and you'll see there's no other angle you could get.

Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?

Answers

OPTIONS:

*The slope of the graph of the table is 1 more than the slope of the graph of the equation.

*The slope of the graph of the table is 2 more than the slope of the graph of the equation.

*The slope of the graph of the equation is 2 more than the slope of the graph of the table.

*The slope of the graph of the equation is 1 more than the slope of the graph of the table.

Answer:

The slope of the graph of the equation is 1 more than the slope of the graph of the table.

Step-by-step explanation:

The slope in the equation of the function, y = 3x + 2, is identified as 3.

We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.

Therefore, the slope of the function is 3.

The slope of the function represented by the table of values can be calculated using any two given pairs on the table.

Using (1, 6) and (3, 10):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]

Slope of the function represented by the table of values is 2.

Therefore, comparing the slope of both functions, we can conclude that:

✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."

Justin uses į of a gallon of paint to cover of his bedroom wall.
How much paint is needed to cover the entire wall?

Answers

it depends what is the size of the wall and how much can be covered with 1 gallon .

A pound of ground beef costs $5. At this rate, what is the cost of 3/4 pounds?

Answers

Answer:

The answer would be $3.75

This can be easy if you take $5 and multiply it by 3/4 and you will get that answer!

I hope this helps :)

Step-by-step explanation:

Plz mark B R A I N L I E S T

$3.75 explanation: 5 would become 5/1 then you’d multiply 5/1 times 3/4 which equals 15/4 which would convert to 3 3/4 and 3/4 is .75 so it would be $3.75

Which two points are on the graph of W(d) = 5d – 30?
Choose exactly 2 awnsers that are correct
0, 30
0, -30
-6, 0
6, 0

Answers

Im pretty sure its

(6, 0)

(0, –30)

I could be wrong though..

I will give brainliest

Answers

Answer:

36

Step-by-step explanation:

16*(9/4)

B is smaller than A in a ratio of 4/9, means that A is larger than B in ratio of 1/(4/9) = 9/4.

Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?

Answers

Step-by-step explanation:

The constant of proportionality is the ratio of the cost to the number of pounds of walnuts.  In other words, it is the price of one pound of walnuts.

$10.92 / 4 lb = $2.73 / lb

The constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x is $2.73 lb

What is constant of proportionality?

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

The constant of proportionality can be calculated as the ratio of the cost to the number of pounds of walnuts.  

x = number of walnuts

y = cost of walnutsin dollars

In other words, it is the price of one pound of walnuts now we have;

Constant of proportionality =$10.92 / 4 lb = $2.73 / lb

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

When you want to make a whole number a fraction, what number do you put as the denominator?

Answers

You would usually put 1 as the denominator.

For example :
6 is a whole number , & placing it as 6/1 does not change the value , but makes it as a fraction.

need answer, please help!!

Answers

The answer is 27root2 definately

If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes?

Answers

Answer:

425 miles

Step-by-step explanation:

Divide 510 by 60 to get miles per minute and then multiply by 50 to get miles in 50 minutes

The airplane move 425 miles in 50 minutes.

what is Speed- Distance Formula?Speed = Distance/TimDistance = Speed X Time, and Time = Distance / Speed

Given:

Speed= 510 mph

Time= 50  min = 50/60 hour.

So, speed= Distance / Time

510 = Distance / (5/6)

510 x 5/6 = Distance

Distance = 425 miles

Hence, the Airplane travel 425 miles.

Learn more about speed distance formula here:

https://brainly.com/question/26209051

#SPJ2

simplify the like terms 2x-5x

Answers

Answer:

-3x

General Formulas and Concepts:

Combining like terms

Step-by-step explanation:

Step 1: Write expression

2x - 5x

Step 2: Combine like terms (x)

-3x

Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four more cards than twice the number that Maura has. Part B) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to determine the number of cards Maura initially had.

Answers

Answer:

Maura had 12 cards initially

Step-by-step explanation:

Represent Dai's card with D and Maura's card with M.

From the first statement, we understand that:

D = 4 more that twice of M

This is represented as:

D = 4 + 2M

From the second statement, we understand that.

When 8 is subtracted from D, M is increased by 8 and both are equal.

This is represented as:

D - 8 = M + 8

Hence, the equations of the system is:

D = 4 + 2M

D - 8 = M + 8

Substitute 4 + 2M for D in the second equation

4 + 2M - 8 = M + 8

Collect like terms

2M - M = 8 - 4 + 8

M = 12

To solve for D, we simply substitute 12 for M in D = 4 + 2M

D = 4 + 2 * 12

D = 4 + 24

D = 28

Hence, Maura had 12 cards initially

Tell whether the ratios form a proportion.
3/4, 24/18
yes or no?
(also i give out branist or whatever lol)

Answers

No it does not form a proportion.
Proportion = equal
3 * 8 = 24
4 * 8 = 32 not 18
No it don’t form a proportion

what is p^m ÷ by p^n equal to?

Answers

Answer:

hbbbbb

Step-by-step explanation:cvv cv

Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period

Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.

Answers

Answer:

Sample response:

Step-by-step explanation:

She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.

Answer:

Step-by-step explanation:

She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.

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