The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation

Let "m" represent the money required.

Let "n" represent the number of gallons filled.

Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:

[tex] m\propto n [/tex]

We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".

Therefore the above expression will become:

[tex] m=k\times n [/tex]

Now, it is given that m=$16.56 and n=6 gallons

Therefore, [tex] 16.56=k\times 6 [/tex]

Dividing both sides by 16.56 we get:

[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]

Thus, k=2.76 $/gallon is the value of the constant of variation.

a quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation.Which rule below represents a transformation that does not preserve the length of the sides of the quadrilateral?

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circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc

Hong purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Hong paid?

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Abigail flipped a coin 20 times, and it landed with heads facing up 13 times. What percent of the coin flips landed with heads facing up.

The tank shown is made of steel. It does not have a cover. Find the area of steel sheet used to make the tank.

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In a farm consisting only of horses and chickens, there are 146 total feet. If there are 50 animals total, how many horses are there?

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Use 3.14 for pi and round to the nearest hundredth

Cm2

Find the slope and the y-intercept in this equation: 3y+6=-2x

Help please the circled ones

Please help.
Find the arc measure ML. The measure of arc ML = ______ degrees.

HELP ME ASAP!!! I never understood the concept of finding the missing length/side... Can anyone help?

What is 34% written as a ratio?
A) 34:1
B) 34:10
C) 34:100
D) 34:1000

What’s a Equlivant fraction for 2/8 3/8 and 4/8

Need ASAP
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Henry can write 5 pages of his novel in 3 hours.

An item travels 70 ft in 10 s. What is the unit rate?

Laura bought a square canvas to paint a picture of her cat one side measured 22 centimeters what is tha area of the canvas

3. Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw.
(a) In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.
(b) In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.

A box is filled with black (B), white (W), red (R), green (G), and pink (P) phone cases. A phone case is selected at random.


What is the sample space for this experiment?


S = {B, W, R}

S = {B, W, R, G, P}

S = {G, P}

S = {B, R, G, P}

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Twenty-four students took a test. Fourteen students earned an A and 10 students earned a B. A student will be randomly chosen.


What is the probability that the student earned an A on the last test?


Enter your answer as a fraction, in simplest form, in the box.

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u=

find the area of the composite figure

1) a yogurt shop has vanilla chocolate and strawberry blueberry and raspberry flavors served in small medium or large cups. How many different yogurt choices are possible.
a)30 b)15 c)8 d)2

2) mr.Jefferson has 20 students in his class he wants to send 4 of these students to pick up books for the class how many combinations of 4 students can he choose
a)80 b)5 c)4845 d)116,280

3)here is there sample spaces for three tossed of a coin (hhh,hht,hth,htt,thh,tht,tth,ttt)
a)0.25 b)0.375 c)0.125 d)0.333

4) the table shows the results of a spinning spinner several times what is the experimental probability of spinning a c or a d
a)4/5 b)1/48 c)2/5 d)1/3

5)a bag contains 8 black marbles 16 white marbles 14 red marbles and ten green marbles a marble is drawn at random from the bag what is the probability that the marble drawn will not be white
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Solve the quadratic equation by completing the square.
x^2 + 4x - 3 = 0

A) x = 4 ± 7
B) x = 2 ± 7
C) x = -4 ± 7
D) x = -2 ± 7

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x
years?

A coffee shop charges two different prices depending on the size of the cup. The table shows the number of regular-sized coffees and the number of large-sized coffees purchased in the past 3 hours. The total earnings for hours 1 and 2 are given. Each regular-sized coffee costs the same price, and each large-sized coffee costs the same price. The system of equations can be used to represent the situation.
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How do you do this!?! need to know in 3 hours