Scarlett has 14 gallons of gas in her car at the beginning of a trip. Every hour Scarlett drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven.

Answers

Answer 1

Answer:N(5)=1.5

Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.

A function relating these variables is Nx=14-2.5

So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.


Related Questions

Convert the equation − x − 2 y = 8 from standard to slope-intercept form

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.

-x - 2y = 8

-2y = x + 8

Now that we have y on one side, we can divide everything by -2.

-2y/-2 = x/-2 + 8/-2

y = -1/2x - 4

That looks like y = mx + b form.

If you have any further questions or need clarification on anything, let me know!


Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?

Answers

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

To learn more on Equations:

https://brainly.com/question/10413253

#SPJ5

What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа

slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od

Answers

slope 123 this is confusing sordy bae

Which is the graph of f(x) = 5(2)*?
O
40
20
(2, 20)
(0.5)
4 -3 -2 -1
1 2
3
4
5 6 x

Answers

Answer:

the graph is this one , I send the picture

How many years will it take an investment of
$3,000 to double itself when interest is
compounded monthly at 8%? Round your answer to
the nearest year.

Answers

Answer:

The nearest cent is going to be %1.00 So it’s B girla

Step-by-step explanation: i think it is

Consider the following, what is the summation of all solutions?
(2x+4)^2+1=5

Answers

Answer:

- 4

Step-by-step explanation:

(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify

4x² + 16x + 16 + 1 = 5

4x² + 16x + 17 = 5 ( subtract 5 from both sides )

4x² + 16x + 12 = 0 ( divide terms by common factor 4 )

x² + 4x + 3 = 0 ← in standard form

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

Answers

Answer:

$18.74

Step-by-step explanation:

To find the sale price:

22 * 0.2 = 4.4

22 - 4.4 = 17.6

or, you can just multiply by 0.8, so you wont need to subtract later

22 * 0.8 = 17.6

Then, you need to find the tax amount:

17.6 * 6.5 = 1.144

17.6 + 1.144 = 18.744

Round

18.74

What are the three major responsibilities of the county sheriff? (Site 1)

Answers

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

Answer:

To become rich

Step-by-step explanation:

I'm rich so

Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answers

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

find the next two terms of this sequence.please help.

Answers

Answer:

12, 3

Step-by-step explanation:

i think so but you could wait for another answer but im not sure of my own

Answer: 28 and 20

Step-by-step explanation:

52 - 44 = 8

44 - 36 = 8

36 - [tex]x_{1}[/tex] = 8

[tex]x_{1}[/tex] = 28

28 - [tex]x_{2}[/tex] = 8

[tex]x_{2}[/tex] = 20

please give me a brainliest answer

Ms. Reynold's sprinkler system has 4 stations that water all parts of her front and back lawn. Each station
runs for an equal amount of time. If it takes 36 minutes for the first 3 stations to water, how long does it
take to water all parts of her lawn?
It will take 46
minutes for Ms. Reynold to water her lawn.

Answers

Answer:

It will take 48 minutes to water all parts of her lawn.

Step-by-step explanation:

Each section runs for an equal amount of time

3 sections have run for 36 minutes

36 divided by 3 is 12, meaning each section runs for 12 minutes

12 times 4 is 48

Find the S.S. of the equation (x+5)2 =(x+5) in R

Answers

Answer2x +10=x+5

⇒x=5

Step-by-step explanation:

2x-x=10-5

⇒x=5

I will give Brainliest :)​

Answers

Answer:

Step-by-step explanation:

Find the value of m if 2y³+my²+11y+m+3 is exadly divisible by (2y-1)​

Answers

2y3 + my2 + 11y + m + 3 is exactly divisible but (2y-1) is

-7

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN​

Answers

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign

Answers

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4

90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes.
3/10 of the women said Yes.
What percentage of the men said No? (Show your working)

(THE ANSWER SHOULD BE 20% BUT HOW TO PROVE THAT????)
HELP ME PLEASE

Answers

Explanation:

150 total people
3/5 * 150 = 90 total people said yes

3/10 * 60 = 18 women said yes
(42 women said no)
(72 men said yes)

Subtract the people who said yes from the total people to find the people who said no.
150 - 90 = 60 people said no
60 - 42 = 18 men said no

18/90 = 0.20 or 20%

HELP HELP

Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y

Answers

Answer:

m∠Y= 120

Step-by-step explanation:

Given,

FGHI≅WXYZ

m∠H=m∠Y [ Corresponding parts of congruent figures]

m∠Y= 120

9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.

Answers

Answer:

11400000

Step-by-step explanation:

1 whale = 380000 lbs

30 whale weighs 380000×30

30 whales = 11400000

I'm sad

What is 2x9/6+5

Answers

Answer:

8

Step-by-step explanation:

PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract

First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!

What does it mean to “solve” the following equation for y.

Answers

Solve for 'y' means find the equation to get the value of y.

3. A company that makes scarves has many
different styles and colors that people can order.
The company keeps track of the number of each
style/color combination they make and the
average sale price for the scarves having that
combination. They create a scatter plot using the
data with the number of scarves along the x-axis
and the average price per scarf, in dollars, along
the y-axis.
The data in the graph suggest a linear
relationship. Which of the following could
represent the regression equation? (2 pt)

Answers

Answer: y=−0.004x+5

Step-by-step explanation:

6.) The candyman spent $100 on his new costume to scare little kids and has $25 left. His
hourly pay is $5. How many hours did he work to afford his new costume, plus the $25?

Answers

Answer:

the answer is 30 or 5

Step-by-step explanation:

tvgnfjh

A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures

Answers

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.

Since volume = area of base × height

volume = 5.6 × 5.6 × 7.86 ft³

So, the answer volume of the pyramid will have 2 significant figures.

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Learn more about significant figures here:

https://brainly.com/question/23396760

Find an equation for the graph below

Answers

Answer:

y=4/5x-0.8

Step-by-step explanation:

A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.

Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6


If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.

Answers

i wouldnt know since i dont like coffee

A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale price?

Answers

85*.15=12.75
85-12.75
72.25
The sale price is $72.25

Paul is shopping for laundry detergent. At the grocery store, the liquid detergent is pricedat $14.99 for 64 loads of laundry and the same brand of powder detergent is priced at$15.99 for 80 loads. Which is the better buy, the liquid or the powder detergent?

Answers

Answer:

15.99 is better

Step-by-step explanation:

because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.

f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)

Answers

Answer:

(f*g)(x) = 3x³+12x²-7x-28

Step-by-step explanation:

What (f*g)(x) means is that we multiply f(x) by g(x):

f(x) = x+4

g(x) = 3x²-7

(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28

HELP ME SOLVEEEE !!!!!

Answers

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

y-9y=-9-7

-8y=-16

y=2

>> Answer

_________

[tex] \: [/tex]

[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]

[tex] \frac{y + 7}3 = 3(y - 1) [/tex]

[tex]y + 7 = 9(y - 1)[/tex]

[tex]y + 7 = 9y - 9[/tex]

[tex]y - 9y = - 9 - 7[/tex]

[tex] - 8y = - 16[/tex]

y = 2

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