A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveling s miles is give by s= 120-12r.

Answers

Answer 1

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]s = 120 - 12r[/tex]

A linear equation is represented as:

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

Where

[tex]c =y\ intercept[/tex] and

[tex]m = slope.[/tex]

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

[tex]s = 120 - 12r[/tex]

[tex]s = 120 - 12 * 5[/tex]

[tex]s = 120 - 60[/tex]

[tex]s = 60[/tex]

60 miles traveled

Solving (b): s = 36

[tex]s = 120 - 12r[/tex]

[tex]36 = 120 - 2r[/tex]

Collect like terms

[tex]2r =120 -36[/tex]

[tex]2r =84[/tex]

Solve for r

[tex]r = 42[/tex]

42 gallons used


Related Questions


The point (-3, 2) is on the line given by which equation below?
HELPPP ME PLSSSS I NEED THIS NOWW

Answers

The answer is c. you can also check this by simply plugging in the x and y values.
In this case:
2=-3+5
2=2

Neveah orders a square pizza. 34 34 of the pizza has pepperoni. 23 23 of the pepperoni also has green peppers. How much of the whole pizza has both pepperoni and green peppers

Answers

Answer:

1/2

Step-by-step explanation:

Given that:

3/4 of pizza has pepperoni

2/3 of the pizza with pepperoni has green pepper ;

The fraction of the whole pizza that has both pepperoni and green pepper ;

Fraction with pepperoni = 3/4

Fraction of whole with green pepper and pepperoni : 2/3 of 3/4 = 2/3 * 3/4 = (2*3) / (3*4) = 6/12 = 1/2

A fair dice is rolled
Work out the probability of getting a multiple of 2.
Give your answer in its simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

A require 2/3 cup of sugar to make a cake what is maximum number of cakes that can be made using 1/2​

Answers

Answer:

0 cakes

Step-by-step explanation:

1/2 is 0.5 cups.

2/3 cups is roughly 0.67.

If it requires 0.67 cups of sugar and you have 0.5 cups, you don't have enough for a single cake.

ang answer jan ay .............stick o


Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010

Answers

Answer:

It adds by +5

Step-by-step explanation:

What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55

Answers

d i think i’m not sure tho

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

6

Step-by-step explanation:

We know that the two quads are of similar and the ratio is 1:2, thus

AB/RS = 1/2

3/x = 1/2

x = 6

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

She needs to sell 15 boxes of cookies to reach her goal

The fabric is $3 times the number of yards of fabric n. Which equation gives the total cost c of n yards of fabric

Answers

Answer:

C = 3n

Step-by-step explanation:

Given that,

The fabric is $3 times the number of yards of fabric n.

We need to find an equation that gives the total cost c of n yards of fabric.

It means, the total cost of n yards of fabric is given by :

C = 3n

Where

n is yards of fabric.

If one figure is translated, rotated and dilated to create its image, the two figures will be __________ .
Group of answer choices

translation

congruent

similar

opposite
PLEASE ANSWER ASAP

Answers

Similar is the answer because no matter the transformation done to the figure it’s always going to be similar to the image(after transformation figure) not necessarily congruent but similar

If the radius of a circle is 10cm, what will be the area of the circle?

Answers

Answer:

314

Step-by-step explanation:

Answer:

a

Step-by-step explanation:


Whích type of transformation is shown here?
A)
dilation
B)
reflection
rotation
D)
translation
E)
refraction

Answers

Answer:B.rotation

Step-by-step explanation:

write as a single fraction in their
lowest terms:
2/x + 1/x-3

Answers

Answer:

[tex]\frac{3x-6}{x(x-3)}[/tex]

Step-by-step explanation:

We require the denominators of the fractions to be common.

Multiply numerator/denominator of first fraction by x - 3

Multiply numerator/denominator of second fraction by x

Then

= [tex]\frac{2(x-3)}{x(x-3)}[/tex] + [tex]\frac{x}{x(x-3)}[/tex] ( simplify numerators, leaving the common denominator

= [tex]\frac{2x-6+x}{x(x-3)}[/tex]

= [tex]\frac{3x-6}{x(x-3)\\}[/tex]

i’ll give brainliest if someone can help

Answers

Answer:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Please help me I don’t understand this

Answers

You need to find the total surface area of the rectangular prism. The top and bottom are 8(6), which equals 48. Since we want both the top and bottom, multiple 48 by 2 to get 96. The we need to calculate the remaining 4 sides. Two of them are 15(6), which is 90. Again, multiply by two since there’s two of those sixes to get 180. Finally, the last two sides are 15(8), which is 120. Add all of these numbers together to get 96+180+120=396. So she will need 396 cm^2 of fabric.

solve attached problem

Answers

Answer:

what is the dot for?

Step-by-step explanation:

2m² × 2m³

2×2 = 4

4m² × m³

= 4 m²+³

= 4m⁵

Please help me find the answer.

Answers

Answer:

I think 3/6

Step-by-step explanation:

because there is 6 cards and 3 of them are odd but im not postive

Only questions 2, 3, 6, 11, 12, 13 fifth grade

Answers

Answer:

zoo wee mama

Step-by-step explanation:

2-8.172                                                                                                                         3-172 r1                                                                                                                      6-1.04                                                                                                                         11-5/2                                                                                                                        12-1 1/2                                                                                                                       13-16 1/3                                                                                                                       yw!

Evaluate a = 6, b = 5, c = 9 a*b*c/2 + 2(a*b*c) = ?

Answers

Answer:

675

Step-by-step explanation:

Answer:

675

Step-by-step explanation:

plug in the #'s

6*5*9/2 +2(6*5*9)

6*5*9=270

270/2=135

135+2(270)

135+540

675

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Answers

Answer:

21

Step-by-step explanation:

Answer: Our required answer is 11(2c+3d)

Step-by-step explanation:

Since we have given that

22c + 33d.

We have to use "Distributive property" to factor out the greatest common factor.

Since we know that 11 is the greatest common factor of 22 and 33.

So, it becomes,11(2c+3d)

Hence, our required answer is 11(2c+3d)


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Please

Answers

Answer:

# 1,3 and 6

Step-by-step explanation:

What is x equal to in this problem?

Answers

Answer:

x = 11?

Step-by-step explanation:

I do not know right now sorry hope someone else helps you!

Categorize each example based on whether it shows citizens exercising their rights or fulfilling their responsibilities.
Joseph and his family observe
Lent and go to church every
Sunday.
Kit organized a march to
peacefully protest against
deforestation.
Amy held a fundraiser to
money for her area’s
Help a Child charity.

Answers

Answer:

I took the test and got it right

Rights are

Joseph and his family observe Lent and go to church every Sunday. Kit organizes a march to peacefully protest against deforestation.

Responsibilities is

Amy held a fundraiser to money for her area's Help a Child charity.

(11 + 4) ÷ 3 × [tex]\sqrt{64}[/tex]

Answers

Answer:

40

Step-by-step explanation:

The answer should be 40 assuming that there are positive real numbers.

You simplify the radical into a product with known factors

sorry If that doesnt make sense lol

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Answers

Answer:

84.5

Step-by-step explanation:

65.50 she will need 84.5 which is 84 dollard and 50 ct

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Answers

Answer:

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Step-by-step explanation:

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Answers

Question:What expression has the same meaning as 2 7/4?

Step-by-step explanation:15/4 also means 2 7/4 if that's what you mean.

Answer:

it s b) 4 2 the power of 7

Step-by-step explanation:

PLEASE EXPLAIN IT IS SUPER DUPER URGENT Explain how to find the area of a triangle if the height of the triangle is 24 ft and the base of the triangle is 8 ft. Please use complete sentences and mathematical words. Minimum of 5 sentences.

Answers

Answer:

You have to multiply 24 and 8, which will give you 192. For a triangle, you always must divide by two, and doing so on this equation will give you 96. Like everything involving area, or something with a measurement, you must use the proper measurement unit, in this case that would be feet. In all, the answer is 96 feet for the overall area of the triangle. The formula for this process is A=[tex]\frac{hb}{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is how you find the area of a triangle. First, you must use the formula

A= 1/2 b·h. Replace the given informations. (the steps will be on a drawing so you will be able to understand how to solve.)

3. F (7,-2). If F is rotated 90 degrees about the origin. What are the
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Answers

Well you said the Coordinates of F  (7,-2) rotated 90 degrees

x puᴉɟ oʇ ǝʌɐɥ noʎ

[tex] \frac{x {}^{2} }{5 {}^{2} } = {4}^{2} [/tex]

Answers

Hello there! The value of x is 20 or -20

"20 or - 20" is one answer so you are supposed to answer 20 or -20, not choose only one.

Step-by-step explanation:

[tex] \large{ \frac{ {x}^{2} }{ {5}^{2} } = {4}^{2} }[/tex]

First, we simplify 5² and 4²

[tex] \large{ \frac{ {x}^{2} }{25} = 16}[/tex]

Multiply the whole equation by 25 to get rid of the denominator.

[tex] \large{ \frac{ {x}^{2} }{25} (25) = 16(25)} \\ \large{ {x}^{2} = 400}[/tex]

Square both sides and solve the equation.

[tex] \large{ \sqrt{ {x}^{2} } = \pm{ \sqrt{400} }}[/tex]

Also don't forget to write "plus or minus" symbol when we are solving a quadratic equation by squaring both sides.

[tex] \large{x = \pm{20}}[/tex]

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