The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 30 gallons.

Answers

Answer 1

Answer:

ok so firstly you need a graph to decipher what the answer will be

Step-by-step explanation:

So due to that error i am unable to complete the problem because you did not provide enough information


Related Questions

Find the acute angle between the lines. 5x ? y = 2, 6x + y = 6

Answers

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)

Solve for .
2.
(100+30x)
30.rº

Answers

Answer:

x = 1[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As you can see, the two angles are supplementary as they lie on the same straight line so they should add up to 180°.

100 + 30x + 30x = 180

Evaluate like terms.

60x + 100 = 180

Isolate 60x.

60x = 180 - 100

       = 80

Find x.

x = 80 ÷ 60

x = 1[tex]\frac{1}{3}[/tex]

Which expression is equal to 5+6+7+8+9?

Answers

18+17 or 18+ (8+9)
I hope this helps...

what is the equation of the line in point slope form that has a slope of -7/8, going through point (12,-3)

Answers

Answer:

y= (-7/8)x +7.5

Step-by-step explanation:

We know that the form for the equation of a line is

y= mx+b, with m being the slope, so our equation is

y=(-7/8)x+b. As b should be a constant, we need to find b. Plugging (12,-3) in, we have -3 = (-7/8)(12)+b =  -10.5+b. Adding 10.5 to both sides, we get b= 7.5, making our equation

y= (-7/8)x +7.5

Florida ran 1.2 miles and Walked 4.8 laps

Answers

The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile
Step-by-step explanation:
This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.
4.8x + 1.2 = 3.6
4.8x = 2.4
x = 0.5

Which will help your answer, "To what power must a student raise the number 5 to have an answer of 626"?

a. log625(5)=x
b. logx(5)=x
c. log5(x)=625
d. log5(625)=x

Answers

Answer:

D.

5^x=625

I hope it will be useful.

Answer:

The Answer us D

Step-by-step explanation:

log5(625)=x

x=4

2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.

Answers

Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

since 2010 are given by the functions below:

Cit) 1000 - 500

F(t) = 2500 - 1000

Will their populations ever be equal? If so, when will that happen and what will that population be?

Otherwise, briefly explain why their populations will never be equal.

Step-by-step explanation:

hurry plz Im running out of time


what is 753 and 251 round to hundredth

15 points

Answers

Answer:I am pretty sure its 800

Step-by-step explanation:

Answer:

753 rounds to 753 because it is already rounded. 251 stays the same to because it cant round any further. I hope I have helped :)

what are all of the ratios that are equivalent to 1/2

Answers

Answer:

there are infinte number of ratios that are equivaent to 1/2

Step-by-step explanation:

2/4, 3/6, 4/8, 5/10, 6/12 ...

Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Just multiply the denominator and numerator!!

For example:

1/2 =2/4

1x2=2

2x2=4

$1.50 is what fraction of $7.00?

Answers

21.4285714286%

or

4.66666667 i think

1. Kilometers and inches are some units used to measure length. What are some other
units used to measure length?
2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?


100 point please helppp

Answers

Answer:

length- inches, meters, millameters

Volume- gallon, quart, cups, teaspoons

Step-by-step explanation:

Answer:

ength- inches, meters, millameters

Volume- gallon, quart, cups, teaspoons

Step-by-step explanation:

One spring day, Caroline noted the time of day and the temperature, in degrees
Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the
next 3 hours, the temperature rose 2° per hour. For the next 6 hours, it rose 1° per
hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the
temperature dropped 1° per hour. The temperature then dropped steadily until the
temperature was 60° at midnight. On the set of axes below, graph Caroline's data.

Answers

Answer:

Please see attached graph

Step-by-step explanation:

In the attached image you will find the red dots hour per hour that reflect the temperature changes described in the text. The finer red line joins the points to give continuity to the graph.

what is the greatest common factor of 4x²+2x​

Answers

Answer:

2x

Step-by-step explanation:

Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.

Is 2.3 + (-2.4) positive number

Answers

Answer:

2.3 + (-2.4) = -.1

Step-by-step explanation:

adding a negative like this is the same 2.3 - 2.4 and subtracting 2.4 from 2.3.

What is this? Please answer with an explanation

Answers

(4,7) because it shifts right 4 and up 7 from (0,0)

The two data sets below show the approximate number of gallons of gasoline Josie and Olivia put into their cars the last 10 times they filled their gas tanks. A dot plot titled josie's Gasoline (gallons). The number line goes from 8 to 12. There are 2 dots above 8, 2 above 9, 6 above 10, and 0 above 11 and 12. A dot plot titled Olivia's Gasoline (gallons). The number line goes from 8 to 12. There are 0 dots above 8 and 9, 6 above 10, 3 above 11, and 1 above 12. Which measure of variability would most accurately compare the two data sets and why?

Answers

Answer:

c

Step-by-step explanation:

i got it right on edg 2020

Answer:

c

Step-by-step explanation:

What is 52114 divided by 47

Answers

Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

The neighbor sold 16 cake pops for $1.75 each. How much money did the neighbor collect?

Answers

Answer:

$28

Step-by-step explanation:

$1.75 x 16 = $28

Answer: 10.05

Step-by-step explanation:

A bowl weighs 11/40 lb. Express this as a decimal. The denominator is 4. I need help with this pls.

Answers

Answer: 0.275

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

You subtract 11 from 4 and get 7 and then you divide 40 by 4 and get 10 hope that helps:)

for the figure shown below, find the value of the variable and the measure of the angles.

x is
measure angle P
measure angle Q
measure angle R​

Answers

Answer:

All triangles has a total angle of 180. So x+38+2x+18+x=180

Solve for x: 4x+56=180 so 4x=124, x=31

show that (0.8a+0.4b)^2=(0.8a-0.4b)^2+1.28ab


please help me solve this asap​

Answers

Step-by-step explanation:

first

(0.8a+0.4b)^2= (0.8a+0.4b) *(0.8a+0.4b)

=

0.64 a^2 + 0.32 ab +0.32ab + 0.16 b^2=

0.64 a^2 + 0.64ab + 0.16 b^2

second

(0.8a-0.4b)^2+1.28ab

= 0.64 a^2 - 0.64ab +0.16 b^2 + 1.28ab

= 0.64 a^2 + 0.64ab + 0.16 b^2

since the first (left parameters ) equals the second(right side parameters)

approved✓✓

What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?

Answers

Answer:

y - (-1) = -3(x-10)

y+1= -3x+30

y= -3x+30-1

y= -3x+29

the substitution method.
y = -4x + 15
-4x + 7y = 9

Answers

Answer: {y,x} = {3,3}

Step-by-step explanation:

1] y=-4x+15

[2] -4x+7y=9

Equations Simplified or Rearranged :

[1] y + 4x = 15

[2] 7y - 4x = 9

Graphic Representation of the Equations :

4x + y = 15 -4x + 7y = 9

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = -4x + 15

// Plug this in for variable y in equation [2]

[2] 7•(-4x+15) - 4x = 9

[2] - 32x = -96

// Solve equation [2] for the variable x

[2] 32x = 96

[2] x = 3

// By now we know this much :

y = -4x+15

x = 3

// Use the x value to solve for y

y = -4(3)+15 = 3

Solution :

{y,x} = {3,3}

shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?​

Answers

The Xtra detergent. Because it is $8.77 and all the rest are higher.

I don’t knowwwwwwwwww helppp!!

Answers

Answer:

24 units squared

Step-by-step explanation:

the area of a parallelogram is its length times height

pls help asap no trolls!

Answers

Answer:

b = 6

c = 9

Step-by-step explanation:

if triangles PQR and JHI are congruent, then (b + 48) must equal 9b

9b = b + 48

8b = 48

b = 6

if triangles PQR and JHI are congruent, then (c + 9) must equal 2c:

2c = c + 9

c = 9

Can someone help me

Answers

Answer:

1) The distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

2) The distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Step-by-step explanation:

Find the distance between points

Question 1

(8,-5),(-3,8)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=8, y_1=-5,x_2=-3,y_2=8[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-3-8)^2+(8-(-5))^2}\\Distance=\sqrt{(-11)^2+(8+5)^2}\\Distance=\sqrt{(-11)^2+(13)^2}\\Distance=\sqrt{121+169}\\Distance=\sqrt{290}[/tex]

So, the distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

Question 2

(-1,6),(-4,-7)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=-1, y_1=6,x_2=-4,y_2=-7[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-1))^2+(-7+6)^2}\\Distance=\sqrt{(-4+1)^2+(-1)^2}\\Distance=\sqrt{(-3)^2+(-1)^2}\\Distance=\sqrt{9+1}\\Distance=\sqrt{10}[/tex]

So, the distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

F(x)=2x^3-2x+1 relativeminimum

Answers

Step-by-step explanation:

F(x) = 2x³ - 3x + 1.

d/dx [2x³ - 3x + 1] = 6x² - 3.

Firstly, we wish to find the stationary points of F(x).

When 6x² - 3 = 0, x = -0.707 or x = 0.707.

Now we use Second Derivative test:

d/dx [6x² - 3] = 12x.

Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.

Since 12(0.707) > 0, x = 0.707 is a relative minimum point.

Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.

The demand for tickets to an amusement park is given by p = 70 - 0.2q, where p is the price of a ticket in dollars and q is the number of people attending at that price.

a. What price generates an attendance of 3,000 people? What is the total revenue at that price? What is the total revenue if the price is $20?
b. Write the revenue function as a function of attendance, q, at the amusement park.
c. What attendance maximizes revenue?
d. What price should be charged to maximize revenue?
e. What is the maximum revenue? Can we determine the corresponding profit?

Answers

Answer:

Step-by-step explanation:

From the information given:

p = 70 - 0.02q

when:

q = 3000

p = 70 - 0.02 (3000)

p = 70 - 60

p = 10 dollars

The total revenue = price × number of people

= 10 × 3000

= 30000 dollars

If the price is $20

20 = 70 - 0.02q

0.02q = 70 - 20

0.02q = 50

q = 50/0.02

q = 2500

If price is $20, The total revenue = 20  × 2500

= 50000 dollars

b)

The revenue function R = price × attendance

R = p × q

R = (70 - 0.02q)q

R = 70q - 0.02q²

c)

R(q) = 70q - 0.02q²

Taking the differential of the value on the right hand side.

R'(q) = 70 × (1) - 0.02 × (2q)

R'(q) = 70 - 0.04q

If we set R'(q) = 0

70 - 0.04q = 0

70 = 0.04q

q = 70/0.04

q = 1750   (critical point)

R"(q) = 0 - 0.04 × 1

R"(q) = -0.04

R"(1750) = -0.04 < 0

R is maximum when q = 1750

d)

At q = 1750

p = 70 - 0.02(q)

p = 70 - 0.02(1750)

p = 70 - 35

p = 35 dollars

e)

R(q) = 70q - 0.02q²   because R is max at q = 1750

R(1750) =  70 × 1750 - 0.02  × (1750)²

R_(max) = 122500 - 61250

R_(max) = 61250 dollars

Given that the actual price is 20 dollars when the price is changed to 35 dollars, we have a maximum revenue of:

Suppose:

p = 20 and q = 2500  (from a)

Then;

R = p × q

R = 20 × 2500

R = 50000 dollars

If R = 35, then q = 1750

R_{max} = 35 × 1750

R_{max} = 61250 dollars

Profit = R_{max}  - R

Profit = 61250 - 50000

Profit = 11250 dollars

What is this? I don't know and I'm struggling bad please help

Answers

Answer:

steeper

Step-by-step explanation:

y = mx + c where m is the slope and c is the y-intercept.

The slope has been changed from 2 to 4. The higher the slope, the steeper it is. Thus, the slope is steeper now.

Answer:

i'm not sure sorry

Step-by-step explanation:

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