The variables x and y very directly. Use the values to find the constant of proportionality K then write equation that relates to x and y. Write any fraction in simplest form. Y equals 20 and X equals 12

Answers

Answer 1

Answer:

k=5/3

Step-by-step explanation:

The variables x and y vary directly. Given that, y = 20 and x = 12

We can write it as :

y=kx

Where k is constant of proportionality

Put the values of x and y

20=12k

k = 20/12

k = 5/3

So, the value of the constant of proportionality is 5/3.


Related Questions

Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?

Answers

jesus do be gettin buff doe

somebody please help me thansk

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Y=1x-1
You have to check the distance the points are apart from eachother

What is 1+2+3+4+5+6+7+8+9+10=?



have a great day!! :)

Answers

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Answer:

55

Step-by-step explanation:

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 10 = 15

10 + 10 + 10 + 10 + 15 = 55

find the sum of 10x^2-6 and x +6​

Answers

Answer:

10x2+x

Step-by-step explanation:

2x + 22 = 4(x + 3)
Please help me

Answers

Answer: x=5

Step-by-step explanation:

2x+22=4(x+3)

First distribute

2x+22=4x+12

Now intractable 2x from both sides

22=2x+12

Now subtract 12 from both sides

10=2x

Now divide by 2 to get x alone

5=x

So

x=5

Answer:

The answer is x = 5, see comments for explanation.

help me real quickhahahahaha

Answers

Answer:

19

Step-by-step explanation:

2d= 2 x 8= 16

16+3= 19

Answer:

Step-by-step explanation:

2d + 3         (d=8)

(2*8) + 3 =

16 + 3 =

19

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.

Answers

Answer:

15x=300,     x=20

20x=300,    x=15

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

15x=300

x will equal 20

20x=300

x will equal 15

A contestant in a game show has​ 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word​ "lose" suggest a positive integer or a negative​ integer? What integer represents a loss of 750​ points?

Answers

This question is incomplete

Complete Question

A contestant in a game show has​ 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word​ "lose" suggest a positive integer or a negative​ integer? What integer represents a loss of 750​ points?

a) Positive, + 750

b) Positive , - 750

c) Negative , +750

d) Negative , - 750

Answer:

d) Negative , - 750

Step-by-step explanation:

We are told in the question that the contestant has 9000 points

Then he loses 750 points.

This means that the 750 points would be deducted from the 9000 points he the contestant has already.

The word lose is a negative and it carries the Subtraction (-) sign,

hence, lose suggests a negative integer which is given as:

-750

Option d is the correct option

2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7​

Answers

Answer:

X = 4, x = -7

Step-by-step explanation:

You can set each equation in the parenthesis Equal to 0.

x - 4 = 0 and x + 7 = 0

start with x - 4 =0

add 4 to both sides

x = 4.

then do x +7 =0. subtract 7 from both sides.

x = -7

so x =4, and x = -7

Match each inequality to the correct graph.

Answers

Answer: Hope this helps

WILL CHOOSE BRAINLIEST!!!!!!!!!!!!!
30 points!!!!!!!!!!
12x^2 y for x=–0.3,y= 1/6

Answers

Answer:

0.18

Step-by-step explanation:

Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?

A.
253

B.
2503

C.
2530

D.
25,300

Answers

C. 2530 i’m pretty sure

Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?

Answers

Answer:

2:45 P.M

Step-by-step explanation:

Answer:

3:45

Step-by-step explanation:

8:00-5 hours and 15 min=3:45

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

Answers

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

The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8

Answers

The answer is B. y=4x + 11

(x + 3)(x^2 - 5x + 7)
write in standard form once you find answer.

Answers

Answer is:

x^3-2x^2-8x+21

If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly

Answers

i believe you would do 5x7
for every one mom duck there’s 7 babies
so therefore if you had 5 momma ducks you would have 35 ducklings
hope this helps!

Answer:

There would be 35 ducklings

Step-by-step explanation:

If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.

7 x 5 = 35

Answer the link at the bottom plz

Answers

Answer:

2/3

Step-by-step explanation:

24students - 8 boys = 16 girls

16/24

2/3

Answer:

[tex]\frac{16}{24}=\frac{2}{3}[/tex]

also

[tex]\frac{8}{24} =\frac{1}{3}[/tex]

Step-by-step explanation:

what is 3 tenths plus 8 tenths?

Answers

Answer:

1.1

Step-by-step explanation:

It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).

Answers

Answer:

y=20+1.5x

Step-by-step explanation:

The cost of renting a golf cart is equal to $20 plus $1.50 per hour.

let y=the cost of renting a golf cart

let x=the # of hours

y=20+1.5x

Which expressions are equivalent to (5g+3h+4)•2?

Answers

Answer:

nc

Step-by-step explanation:

nc

Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.

Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.

Answers

100=40+2m

100-40=60

2m=60

60 divided by 2=30

30 movies

Answer:

2m+40=100,  30 movies

Step-by-step explanation:

1 movie = 2 points

1 pass= 100 points

curently have 40 points so

100points = 40points +2points *m

solve for m:

2m+40 =100 subtract 40 from both sides

2m = 100-40

2m=60 divide both sides by 2

m=60/2

m=30

Question in picture solve

Answers

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is

ℎ= -16^2 + 256 + 1680

a.) Find ℎ when = 3.

b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?

c.) How long does it take for the object to reach a height of 2640 ft?

d.) How long does it take for the object to hit the ground?

Answers

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)

Where:

[tex]h[/tex] - Height above the ground, measured in feet.

[tex]t[/tex] - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]

[tex]h(3\,s) = 2304\,ft[/tex]

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:

[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]

[tex]h(5\,s) = 2560\,s[/tex]

[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]

[tex]h(7\,s) = 2688\,s[/tex]

We notice that the small object ascends in the given interval.

[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]

[tex]\Delta h = 128\,ft[/tex]

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:

[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)

All roots of the resulting equation come from the Quadratic Formula:

[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

if the transformation was a rotation, tiffany..... be certain the trapezoids are congruent

A. can
B. cannot​

Answers

can

Two figures are congruent when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
Rotation: the figure is turned around a fixed point;
Reflection: is created by fliping over the figure over a line;
Translation: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.

How many solutions does 5 - 2x = 4 - 2x + 4 + x have?
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions

Answers

Answer:

One solution, being x = -3

Step-by-step explanation:

Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?

Answers

Yes I need point lol Ik

There are 85 girls and 70 boys in the sixth grade. Of these students, 14
girls and 8 boys take piano lessons. What percentage of the sixth
graders at this school take piano lessons?

Answers

Answer:

14.2%

Step-by-step explanation:

85+70= 155

155=100%

22=?

22×100%÷155

= 14.1935

hence answer is 14.2%

Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

Answers

Given:

The relations in the options.

To find:

The relation which is a function.

Solution:

Consider the options are :

(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}

(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}

(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}

(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}

A relation is a function if there exist a unique y-value for each x-value.

In option (a), y=7 and y=1 at x=2. So, it is not a function.

In option (b), y=-3 and y=3 at x=9. So, it is not a function.

In option (c), y=0 and y=1 at x=3. So, it is not a function.

In option (d), there are unique y-value for each x-value. So, it is a function.

Therefore, the correct option is (d).

A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?

Answers

Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

answer- 40$
50 bags divided by 5 is 10
10 x $4 is $40
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