Jaycie has 21 gallons of gas in her car and uses approximately .05 gallons of gas each mile that she drives. Which equation shows the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car? a. Y = 21x - .05 b. Y = -.05(x+21) c. Y = 21 - .05x d. Y =21 + .05x

Answers

Answer 1

Given:

Jaycie has 21 gallons of gas in her car and uses approximately .05 gallons of gas each mile that she drives.

To find:

The equation which shows the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car.

Solution:

We have,

Initial amount of gas in car = 21 gallons

So, y-intercept of the linear relationship is 21.

It uses approximately .05 gallons of gas each mile that she drives.

It means, the gas is decreased by .05 gallons for each mile.

So, slope of the linear relationship is -0.05. Here, negative sign represents the decrease in amount of gas.

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept or initial value.

Substitute m=-.05 and b=21 in the above equation.

[tex]y=-.05x+21[/tex]

[tex]y=21-.05x[/tex]

So, the equation [tex]y=21-.05x[/tex] represents the linear relationship between x, the number of miles Jaycie has driven, and y, the total gallons of gas in her car.

Therefore, the correct option is c.


Related Questions

can you help me answer the question?​

Answers

Step-by-step explanation:

Uh, uh, uh, uh

Day and night (what, what)

I toss and turn, I keep stressing my mind, mind (what, what)

I look for peace but see I don't attain (what, what)

What I need for keeps this silly game we play, play

Now look at this (what, what)

Madness to magnet keeps attracting me, me (what, what)

I try to run but see I'm not that fast (what, what)

I think I'm first but surely finish last, last

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

Hold the phone (what, what)

The lonely stoner, Mr. Solo Dolo (what, what)

He's on the move can't seem to shake the shade (what, what)

Within his dreams he see's the life he made, made

The pain is deep (what, what)

A silent sleeper you won't hear a peep, peep (what, what)

The girl he wants don't seem to want him to (what, what)

It seems the feelings that she had are through, through

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone through the day and night

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone, some things will never change (never change)

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

Stacy drew a scale drawing of on park on a map. The scale is 1 inch : 10 yards. If the drawing of the park is 6 inches. How wide is the actual park?



PLZ HELPPPPPPPPP

Answers

Answer:

About 25 yards.

Step-by-step explanation:

Length of actual park is 60 yards

Given that;

Scale factor = 1 inch : 10 yards

Length of drawing = 6 inches

Find:

Length of actual park

Computation:

Length of actual park = Scale factor × Length of drawing

Length of actual park = 10 × 6

Length of actual park = 60 yards

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Somebody help me this is on my final and I don’t wanna fail it please somebody help me

Answers

Answer:

D

Step-by-step explanation:

they both equal each other. 5x+7=9x-63

then you would take 70 divided by 4

which equals 17.5

Answer:

A

Step-by-step explanation:

5x + 7 + 9x -63 = 180

     14x - 56 = 180

            + 56    +56

             14x = 236

 divide both sides by 14

           x = 16.85

1. Use the figure below to answer the questions.

(a) Solve for x.

Answers

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

[tex](n - 2) \times 180 [/tex]

The question's figure is 5-sindes figure

so the sum the angles equal :

[tex](5 - 2) \times 180 = 3 \times 180 = 540 \\ [/tex]

So we have :

[tex]90 + 107 + 144 + 138 + x = 54 0 \\ [/tex]

[tex]479 + x = 540[/tex]

Subtract the sides of the equation minus 479

[tex]x = 540 - 479[/tex]

[tex]x = 61[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Someone help me im struggling.
Find the length of d in the figure below if a = 8 in., b = 3 in., and c = 4 in. Round your answer to the nearest tenth.

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

First we find the diameter ((h)) of the rectangle on the floor using the Pythagorean theorem.

So we have :

[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = 64 + 9 [/tex]

[tex] {h}^{2} = 73 [/tex]

[tex]h = \sqrt{73} [/tex]

_________________________________

Step (2)

Now we another using of Pythagorean theorem for finding d :

[tex] {d}^{2} = {h}^{2} + {c}^{2} [/tex]

[tex] {d}^{2} = 73 + 16 [/tex]

[tex] {d}^{2} = 89 [/tex]

[tex]d = \sqrt{89} [/tex]

[tex]d = 9.4[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

PLEASE PLEASE PLEASE HELP I DON'T GET THIS
LEAVE AN EXPLANATION IF POSSIBLE


What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6?


Enter your answer in the box

Answers

Answer:

y = 2/3x - 9

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point (9, - 3)

2x - 3y = -6

Step 2: Rewrite given equation

-3y = -2x - 6

y = 2/3x + 2

So our m = 2/3 (Parallel lines have the same slope but different y-intercepts)

Step 3: Find y-int of parallel line

y = 2/3x + b

-3 = 2/3(9) + b

-3 = 6 + b

b = -9

Step 4: Write parallel line equation

y = 2/3x - 9

Does 2x+4=3x+1/2 have one solution or more or none?

Answers

Answer:

one solution the solution being ×=7/2

Step-by-step explanation:

one solution

Cereal (c) cost $4.12 a box. How many boxes did Jennifer buy if she spent $37.08? Do not include spaces in your answers.
Equation:
Solve: c =
Solution Jennifer bought ( )

Answers

Answer:

Jennifer bought 9 boxes

which answer is correct?

Answers

The second one B is correct

The ratio 5:1/7 has a unit rate of 35 true or false

Answers

Answer:

True

Step-by-step explanation:

To find the unit rate, what we do is to divide the preceding value in the ratio by the succeeding value in the ratio.

Thus, we have;

5 divided by 1/7

= 5 * 7/1

= 35

This is the unit rate of the given ratio

The water depth in a lake decreases at a rate of 2 inches per day because of evaporation. How much does the water depth change in 8 days? In 15 days? In 8 days, the water depth changes by inches. In 15 days, the water depth changes by inches.

Answers

Answer: In 8 days it will decrease by 16 inches and  in 15 days the water depth changes by 30 inches.

Step-by-step explanation:

The water depth decreases at a rate of 2 inches per day so in this case if were to write it as an expression it will be -2x  where x is the number of days.

We will have to set it equal the total amount that it has decreased which will be y.

y= -2x    If x  represent the number of days we will put in the days and solve for y.

y = -2(8)

y = -16     This means that in 8 days it will decrease by 16 inches.

y = -2(15)

y= -30   This also means that in 15 days the water depth changes by 30 inches.

X - 3y = 6*
Your answer
solve for y

Answers

Answer:

y=-2+x/3 OR y=x/3-2

Step-by-step explanation:

x-3y=6

minus x from each side

-3y=6-x

change the symbols

3y=-6+x

divide by 3

y=-2+x/3

if you want, you can make it look better by switching it around to:

y=x/3 -2

9.) The city of Amsterdam is 2 meters below sea level. Lammefjord, a city in
Denmark, is 7 meters below sea level. How much higher is Amsterdam than
Lammefjord?

Answers

Answer:

5 meters

Step-by-step explanation:

below sea level:negative

above sea level :positive

-2 meters + 7 meters = 5 meters

Amsterdam is 5 meters higher than Lammefjord.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given that the city of Amsterdam is 2 meters below sea level. Lammefjord, a city in Denmark is 7 meters below sea level.

Let's understand the sign convention:-

Below sea level: negative

Above sea level: positive

The level is calculated below as:-

-2 meters + 7 meters = 5 meters

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Solve the system by using a matrix equation.
6x-9y= 3
3x-4y=7
a. (17,11)
b. (12, 14)
c. (18, 12)
d. (15, 10

Answers


|6 -9 3|
|3 -4 7|

Apply to Row2 : Row2 - 1/2, Row1
|6 -9 3|
|0 1/2 11/2|


3 Simplify rows.
|6 -9 3|
|0 1 11|

Apply to Row1 : Row1 + 9 Row2.
|6 0 102|
|0 1 11|

5 Simplify rows.
|1 0 17|
|0 1 11|

Answer:
X= 17
Y=11




​​
​x=17
​y=11
​​

Aliyah's Bikes rents bikes for $10 plus $5 per hour. Shayna paid $45 to rent a bike. For how many hours did she rent the book?

Answers

Answer:

7 hours.

Step-by-step explanation:

To solve this problem, you have to make an equation. The equation is 45=5x+10. We have to solve for x. So you put like terms on one side, which gives you 35=5x. We divide by five on each side which gives us x=7.

The function y = 4x represents the distance in miles, y, a horse runs in x hours.

What does the average rate of change over the interval [5, 7] mean?

A. The average speed of the horse in hours per mile between hours 5 and 7.

B. The average speed of the horse in miles per hour between hours 5 and 7.

C. The total time the horse travels in hours between hours 5 and 7.

D. The total distance the horse travels in miles between hours 5 and 7.

Answers

Answer:

B) The average speed of the horse in miles per hour between hours 5 and 7.

Step-by-step explanation:

I took the test

Which of the following is the same as 2,088 feet per minute

Answers

Answer: 0.3954 Miles per minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

2088/69=34.8

Which can be represented by the expression 14 – 3(a + 7)?

Answers

Answer:

Simplifed is -3a-7

Step-by-step explanation:

14 – 3(a + 7)

Solve it out-

[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]

An iceberg weighs 450,000 pounds. If it loses 0.2% of its weight during the day, what is its new weight at the end of the day?

Answers

Answer:

449,100 pounds

Step-by-step explanation:

0.2% in decimal form is 0.002

0.002 (percent lost) * 450,000 (weight) = 900 (pounds lost)

450,000 - 900 = 449,100 pounds

The new number, 200, is 400 less than the original number. What is the approximate percent change?
The percent change is approximately 0.6%.
The percent change is approximately 1.5%.
The percent change is approximately 66%.
The percent change is approximately 150%.

Answers

Answer:

The percent change is approximately 66%.

Step-by-step explanation:

200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.

Answer:

the answer is 66

Step-by-step explanation:

i just did the test

Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate in cups of ketchup per cup of mustard?

Answers

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every [tex]\dfrac12[/tex] cup of mustard.

That means , for [tex]\dfrac12[/tex] cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  [tex]\dfrac12\times 2[/tex] cup of mustard. we need [tex]3\times 2[/tex] cups of ketchup.

⇒ for  [tex]1[/tex] cup of mustard. we need [tex]6[/tex] cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

The  rate in cups of ketchup per cup of mustard is 6.

Given that,

The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard.

Based on the above information, the calculation is as follows:

[tex]= 3 \times 2[/tex]

= 6

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Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment. If HJ=x+10 JK=9x KH=14x−58 a) Draw a sketch of the segments described above b) Write an equaation using the segment addition postulate that will help you solve the problem ___+ ___= c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) ____ = ____ d) x= __ HJ= __ JK= __ HK= __

Answers

Answer:

x= 17

HJ= 27

JK= 153

HK= 180

Step-by-step explanation:

If HJ=x+10

JK=9x

KH=14x−58

a) The diagram of sketch of the segments described above is attached to this answer.

b) KH = HJ + JK

14x - 58 = (x + 10) + 9x

14x - 58 = x + 10 + 9x

c)

14x - 58 = x + 10 + 9x

14x - 58 = 10x + 10

Collect like terms

14x - 10x = 10 + 58

4x = 68

Divide both sides by 4

4x/4 = 68/4

x = 17

d)

x= 17

HJ= x + 10

= 17 + 10

= 27

Hence, HJ = 27

JK= 9x

= 9 × 17

= 153

Hence, JK = 153

HK=14x −58

HK = 14 × 17 - 58

= 238 - 58

= 180

Hence, HK = 180

log√(8)÷log(8) plz reply quickly

Answers

OK OK OK OK. think I know this

Steve Forbes ran for US president in 1996 and 2000 on a platform proposing a 17% flat
tax, that is, an income tax that would simply be 17% of each tax payer's taxable
income. Suppose that Alice was single in the year 2016 with a taxable income of $40000.
a) What was Alice's tax? Use Tax table on page 292.
b) If the 17% flat tax proposed by Mr. Forbes had been in effect in 2016, what
would Alice's tax have been?

Answers

She would have been taxed 6800 so she would have only got 33200 out of the 40000 she made

For her birthday party, Tausha is preparing bags of treats to share with her friends. She has 18 candy bars and 12 packs of gum. Tausha wants to use all of her candy and gum. What is the greatest number of bags of treats that Tausha can make if each of the bags has the same number of candy bars and packs of gum in it? How many candy bars and how many packs of gum will be in each bag?

Answers

Answer:

Tausha can make maximum 6 bags that has the same number of candy bars and packs of gum in it.

Number of candy bars in each bag [tex]=3[/tex]

Number of packs of gum in each bag [tex]=2[/tex]

Step-by-step explanation:

Given:

Number of candy bars = 18

Number of packs of gum = 12

To find: the greatest number of bags of treats that Tausha can make if each of the bags has the same number of candy bars and packs of gum in it

and number of candy bars and packs of gum in each bag

Solution:

Take H.C.F of 18 and 12

[tex]18=2(3^2)\\12=2^2(3)[/tex]

So,

H.C.F of 18 and 12 is 2(3) = 6

Therefore,

Tausha can make maximum 6 bags that has the same number of candy bars and packs of gum in it.

Number of candy bars in each bag = [tex]\frac{18}{6}=3[/tex]

Number of packs of gum in each bag = [tex]\frac{12}{6}=2[/tex]

what are the answers?

Answers

Answer:

y=6

RS= 47

ST= 22

RT= 69

Step-by-step explanation:

2/3 divided by 4/5 qwertyuioppasdfghjklzxcvbnm

Answers

Answer:

5/6

Step-by-step explanation:

The solution of the given fraction is 5/6.

Given that:

Fraction: divided 2/3 by 4/5

To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.

[tex]\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12[/tex]

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:

10 / 12 = 5 / 6

So, 2/3 divided by 4/5 is equal to 5/6.

Hence, the required result is 5/6.

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Specialty t-shirts are being sold online for $15 each,
plus a one-time handling fee of $2.25. The total cost
is a function of the number of t-shirts bought. What
function rule models the cost of the shirts S(t)?
What is the cost of 10 shirts?

Answers

Step-by-step explanation:

sorry i don't have this question

-2,-7,-12 ,.... is an arithmetic sequence Find the sum of its first 20 terms ?​

Answers

Given sequence:

-2,-7,-12 ,..

Unknown;

Find the sum of the first 20 terms = ?

Solution:

  The sequence is -2,-7,-12 ,..

To find he sum of n-terms of a sequence, we use the expression below;

     Sₙ  = [tex]\frac{n}{2} (2a + (n-1)d)[/tex]

where n is the number of terms = 20

           a is the first term = -2

            d is the common difference= -7 - (-)2 = -5

Now input the parameters and solve;

       Sₙ  = [tex]\frac{20}{2} (2(-2) + (20 - 1) x -5)[/tex]

      Sₙ = 10(-4 + -5(19))  = 10(-99)  = -990

The sum of the first 20 terms of the sequence is -990

Please help!!The book has 266 pages. How long will it take to read the entire book?


_____ minutes


Your answer should be written as the nearest whole number.

Answers

Answer:

so since it takes about 3 min each page, it would time about 798 which is 13.3 hours, or rounded, 13

Step-by-step explanation:

Answer:

931 minutes is how long it should take.

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