Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car can travel 240 miles on 20 gallons of gas. Each car costs the same to rent, and Sam wants to rent the car with the better gas mileage. Sam estimates that he will pay $49.49 for every 14 gallons of gas he has to buy. Which car should Same rent, and how much money should Sam bring for gas? Explain your reasoning

Answers

Answer 1
First let’s establish a few things, The first car can travel 300 miles with 20 gallons of gas, if 14 gallons of gas costs 49.49 then for ever gallon of gas Sam is paying 3 dollars and 53.5 cents. That means for 20 gallons, Sam will need around 71$ for the entire trip if he uses the first car.

Related Questions

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

sandra calculated the missing side of one of these three triangles using the pythagrean therom which triangle is it

Answers

Answer:

right angled triangle

Step-by-step explanation:

the only triangle that this formula can be used to find a side is the right angled triangle

19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50​

Answers

Answer:

i think it's c

Step-by-step explanation:

a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.

Lita must find the area of the sector enclosed by central angle QCR in circle C.

Points Q and R lie on circle C. The measure of angle Q C R is 74 degrees and the radius of circle C is 1 foot.


What steps should Lita take to correctly solve this problem?

A: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.

B: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.

C: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so she should subtract 74 degrees from The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.

D: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is πr2.

Answers

To find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).

What is the Area of the Sector of a Circle?

Area of sector = ∅/360 × πr², where ∅ = central angle, and r = radius of the circle.

Given the following:

∅ = m∠QCR = 74°r = 1 ft.

The area of the circle she wants to find is: 74°/360°.

Since the area of the whole circle is, πr², therefore, to find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).

Learn more about area of sector on:

https://brainly.com/question/22972014

the inverse of the function f(x)=-x+3

Answers

Answer: [tex]f^{-1}(x)=-x+3[/tex]

Step-by-step explanation:

To find the inverse of a function replace f(x) with x and replace the original x with y

[tex]f(x)=-x+3\\x=-y+3[/tex]

Now solve for y

[tex]x=-y+3[/tex]

First subtract 3 from both sides

[tex]x-3=-y+3-3\\x-3=-y[/tex]

Now divide both sides by -1 (this will make y positive)

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

Now replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]

A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.

What is the initial value?

Answers

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

21h-10h+16-9+14h+5

Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)

Like terms are:
21h, -10h, +14h

And

16, -9, +5

So add/ subtract the like terms

21h - 10h + 14h= 25 h

16 - 9 + 5 = 12

You can’t add 25h by 12 so your final answer is

25h+12
Answer:
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2

The quotient of c and 6 is greater than or equal to -20
Translate the sentence into an inequality.

Answers

Answer:

c/6 ≥ -20

Step-by-step explanation:

The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.

find the value of angle a

Answers

Answer:

angle A = 153 degrees

Step-by-step explanation:

solve for the interior missing angle.

so from the interior we know that we have 2 angles

1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees

A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.

Answers

Answer:80

Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80

thanks for the question.the the answer is 0.0625

find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10 ​

Answers

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

Does anyone know the answer to these? (forgot to put a screenshot on the last one)

Answers

Answer:

number 1

1       1000 grams

2      2000 grams

5        5000 grams

8         8000 grams

10          10000 grams

Step-by-step explanation:

now 2

1 grams    1000

3 grams      3000

4 grams       4000

6 grams       6000

9 grams       9000

that is all i know please mark me the brainiest

The expression x+x+x+x is equivalent to bx.
What’s the value of b

Answers

Answer:

4x

Step-by-step explanation:

X is incremented by 1

Answer:

Step-by-step explanation:

There is a 1 in front of the x. 1 is never written, but really the question looks like

1x +1x +1x +1x which when summed gives 4 x

b = 4

9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.

Answers

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

9 halves for family6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

$20,000 is borrowed at an interest rate of 15% p.a. (per annum) to be paid back over 10
years, calculate the amount of interest, the total repayment and the monthly repayment.

Answers

Answer:

30000 simple interest ,50000 total repayment.

Step-by-step explanation:

sorry iam terrible at explaining,

HELP PLEASE IM STRUGGLING

Answers

Step-by-step explanation:

Both are very correct,

[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]

because any number raised to the power of a negative

is given as

[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]

if this helped pls give brainliest

15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______



Pattern:

Missing Terms:





17-18) 3, 6, 7, 14, 15, _____, ______



Pattern:

Missing Terms:

Answers

Answer:

first pattern: +2, +3 (repeated)

first missing terms: 19, 24

second pattern:  *2, +1

second missing terms: 30, 31

Step-by-step explanation:

first pattern:

1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).

2. repeat until to prove the pattern, +2, +3

3. apply pattern to missing term, (16+2=19) and (21+3=24)

second pattern:

1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)

2. find pattern from calculation, *2, +1.

3. apply pattern to missing terms, (15*2=30) and (30+1=31).

hope this helped! ♡

Why are fractions 2/4 and 5/10 equivalent

Answers

2 is half of 4 and 5 is half of 10 which makes both fractions equal to 1/2

Answer:

They both equal 20 when you do the butterfly method. They are all factors of 20.

Step-by-step explanation:

2/4 5/10

2x10=20

4x5=20

Use the function below to find f(-4).
fx) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16

Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x

B. F(x) = х/X + 3

O c. F(x) = x-3/x


D. FX) = x/3

Answers

Answer: A
Hope this helped.

The given graph is of the rational number f(x)=1/x(x-3)

What is rational numbers ?

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

Learn more about rational functions at

brainly.com/question/12088221

#SPJ7

Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning.

Answers

Answer:

yes 6 is the equivalent of 3

Answer: 6 is the equivalent of 3

Step-by-step explanation: if wrong comment n I will fix

What is the probability that a student chosen randomly from the class is a male who does not have an A?

Answers

Answer:

6/19

Step-by-step explanation:

2+4+7+6=19

dose not have an a=6

6/19

The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft

Answers

Answer:

96π ft³ or 301.44 ft³

Step-by-step explanation:

Volume = Base Area x Height

V = (πr²)(h)

V = (π)(2²)(24)

V= 96π ft³

Which table represents the function y =1/3 x + 4?


Input x 0 -3 -6
Output y 4 3 2


Input x 6 9 12
Output y 6 9 12


Input x 0 3 6
Output y 4 6 8


Input x 3 6 9
Output y 5 7 9

Answers

Answer:

i think that is the second one but im not sure.

Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

10.50

Step-by-step explanation:Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

why need a question when its on the picture?

Answers

Answer:

Always true.

Step-by-step explanation:

All rectangles are made up of four right angles, which are always congruent.

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

Answers

Answer:

Step-by-step explanation:

emma really smells bad do not answer this question

find the square root of following by division method
5499025

Answers

the answer to your question is 2345

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars

Answers

Answer:

y = -7.235451 x^2 + 402.5542 x - 2382.736

Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit

Answers

Answer:

YES

Step-by-step explanation:

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)

1+2 >2

2+2>1

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