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

Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answers

The answer which would absolutely be pi (I’m incorrect am I.)

so it's got like money before and after and it has indepent and dependent variable ​

Answers

Answer:

The dependent variable is the amount of money you earn because the amount of money you earn depends on how many chores you do.

Which of the following best describes the graphs below?


A.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of 2 with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
B.
Parallelogram A is neither similar nor congruent to parallelogram B.
C.
Parallelogram A is congruent to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the y-axis.
D.
Parallelogram A is similar to parallelogram B by dilating parallelogram A by a scale factor of with the center of dilation at the origin, translating it 4 units down and 4 units left, and reflecting it across the x-axis.

Answers

Answer:

Step-by-step explanation:

D

The radius of a circle is 15 m. Find its circumference in terms of π

Answers

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?

Answers

I will clarify you,
Given:-
Soln:-
Cost price of car(cp)=$14,500$
Selling price of car(sp)=$10,730
Loss amount(L) =?
Now,
we know that,
Loss amount(L)= $14500-$10730
= $3770
Also,
Loss percentage(L%)= loss*100/cp
=3770*100/14500
=26%
.•. The decrease percentage of the price of the car is 26%



Hope it helped you….

2. The back of Nico’s truck is 7.5 feet long, 4 feet wide, and 8 feet tall. He has several boxes of important papers that he needs to move. Each box of papers is shaped like a cube, measuring 2.5 feet on each side.
How many boxes of papers can Nico pack into the back of his truck? Show your work.
Answer:

Answers

Answer:

9 boxes

Step-by-step explanation:

As the truck is 7.5 ft long, we can fit 3 boxes of paper along the length since 7.5 ÷ 2.5 = 3

As the truck is 4 ft wide, we can only fit 1 box of paper along the width

since 4 ÷ 2.5 = 1.6

As the truck is 8 ft tall, we can fit 3 boxes of paper high

since 8 ÷ 2.5 = 3.2

Therefore, the number of boxes of paper is:

3 × 1 × 3 = 9

Answer:

9 boxes

Step-by-step explanation:

Look above me ;)

What is the slope of the graph of this function in decimal form?
(6,1) (-6,-5)

Answers

Answer:

slope = 0.5

Step-by-step explanation:

[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

What is the slope of the graph?

The slope formula can be expressed as:

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]

Therefore, the slope of the line is 0.5.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ3


Expand the following expressions by multiplying out the brackets
-4(4f+3)

Answers

Answer:

- 16f - 12

Step-by-step explanation:

- 4(4f + 3) ← multiply each term in the parenthesis by - 4

= - 16f - 12

Hello!

In order to simplify this expression, we should use the Distributive Property and distribute -4:

-4(4f+3)

-16f-12

Note:

[tex]\square[/tex] A negative times a negative is a positive.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.

(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________

Answers

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

Height of ravine = 100 feet.

How to calculate the length of rope.

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

Combine like terms
4x+3(2x+5b)-4b-2x+6

Answers

Answer:

[tex]\boxed{\sf{8x+11b+6}}[/tex]

Step-by-step explanation:

To solve this problem, you have to combine like terms of x and b from one side of the equation.

4x+3(2x+5b)-4b-2x+6

Combine like terms.

3(2x+5b)+4x-2x-4b+6

Solve.

4x-2x=2x

Rewrite the problem down.

3(2x+5b)+2x-4b+6

Expand the form.

Use a distributive property.

Distributive property:

A(B+C)=AB+AC

3(2x+5b)

Multiply.

3*2x=6x

3*5b=15b

Rewrite the problem.

6x+15b

6x+15b+2x-4b+6

Combine like terms.

6x+2x+15b-4b+6

Add the numbers from left to right.

6x+2x=8x

8x+15b-4b+6

Then, you add again.

15b-4b=11b

= 8x+11b+6

Therefore, the final answer is 8x+11b+6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

8x+11b+6

Step-by-step explanation:

Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?

Answers

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.

Answers

- Surveying the boys in the freshman class is biased. It doesn’t take a sample from all of the school, it is from only one grade and one gender.

-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.

-Students in her math class is biased- it only considers those in a certain class, not everyone.

-20 from each grade at random is NOT biased, it considers every grade and 20 random students.

-Chess club is biased. Only students in one particular group get to answer. Hope this helps!

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

if 10x+6 = 21 then what is 15

Answers

Answer:

The answer is

1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054

Answers

Answer:

A I believe try A that should be it

What is the value of the expression below?

4. 8 x 108

-x (2. 2 x 10-6)

1. 2 x 104

Answers

Answer:

I'm not sure I understand the formatting.  I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation.  I also assumed all terms are to be added.  If these assumptioons are correct, the answer is:

4.58012 x 10^8 or 4.6x10^8  (see below)

Step-by-step explanation:

(4.8x10^8) - (2.2x10^6) + 1.2x10^4

(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)

 4.8

-0.22

+0.00012

4.58012

4.58012 x 10^8

There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.

Given g(x)=5x-3g(x)=5x−3, find g(-4)g(−4).
g(x)=5x-3
g(x)=5x−3
g(\color{green}{-4})=5(\color{green}{-4})-3
g(−4)=5(−4)−3
Plug input into x
-20-3
−20−3
Multiply
-23
−23

Answers

Answer:

the answer is 529

Step-by-step explanation:

see the explanation photo

Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.

Answers

Answer:

89

Step-by-step explanation:

92 - 3 =89

subtract smallest from largest

Which one doesn’t belong? A B C D

Answers

Answer:

A

Step-by-step explanation:

because its not an angle

Answer:

i would say a

Step-by-step explanation:

because b c and d sort of have an angle to them but a is straight

What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Answers

The area of the considered triangle RST is given by: Option A: 9 sq. units.

How to find the area of a triangle?

If we have:

Length of its base = b unitsIts height = h units long,

Then we get:

Area of a triangle = [tex]\dfrac{b \times h}{2} \: \rm unit^2[/tex]

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = [tex]\dfrac{6 \times 3}{2} = 9 \: \rm unit^2[/tex]

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

https://brainly.com/question/14503701

What is the solution to this system of equations?
4x+y=6
x-2y=6
A (-2)
B (1,2)
C (1/2, 4)
D (-2,2)

Answers

The answer to this is D
You Answer is letter D =(2,-2)

Which agency is responsible for promoting the welfare and opportunities of wage earners? a. fda b. hud c. dol d. cpsc

Answers

Answer:

DOL, also known as the Department of Labor, is the agency responsible for promoting the welfare and opportunities of wage earners.

Their main goal is to fight for equal rights among workers and to make their wishes and needs at the workplace come true.

Answer:

c

Step-by-step explanation:

Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?

Answers

Answer:

Lower Quartile is 8 according to the diagram.

Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

x=8.4

Step-by-step explanation:

use tangent to solve the equation which is opposite/adjacent and set up the proportion

[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]

the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]


The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b,
where a and b are integers.
Find the values of a and b.

Answers

Answer:

a = 2

b = 4

Step-by-step explanation:

Δy   = 2x + a.................for turning point, Δy/Δx = 0.

Δx

0 = 2x + a

x = -a/2.........from ( -1, 3), x = -1...............so,

-1 = -a/2.................a = 2.

y = x^2 + ax + b.

y = 3  ,    a = 2.................substitute.

3 = (-1)^2 + 2(-1) + b

3 = 1 -2 + b

b = 4

Answer:

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

[tex]\sf y=x^2+ax+b[/tex]vertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

[tex]\sf \implies y=1(x-(-1))^2+3[/tex]

[tex]\sf \implies y=(x+1)^2+3[/tex]

[tex]\sf \implies y=x^2+2x+1+3[/tex]

[tex]\sf \implies y=x^2+2x+4[/tex]

Therefore, a = 2 and b = 4

Eva is solving the equation 4(x+32)=8
She says, “I can subtract 32 from each side to get 4x=132 and then divide by 4 to get x=138."

Dakota says, “I think you made a mistake.”

Determine the correct value for x.

x=

Answers

Answer:

The correct answer is -30

Step-by-step explanation:

4(x+32)=8 basically you multiply 4 times the numbers that are in the parentesis which that will equals to 4x+128 because 4x1= 4x and 4x32 = 128. then you subtract 128 from 8 which equals to -120. you divide -120 by 4 which equals to -30.

A survey of 600 people was conducted to find thier favorite book genre. The survey results are shown in the table o the right. Adventure:102, Comedy: 114, Mystery:84, Romance:132
Part A: How many people responed with a genre other than one of the genres listed?
Part B: Develop a complete probabiliy model to describe all possible reasons, including 'other' as one response.
PLEASE HELP ASAP​

Answers

The probability shows that the number of people who responed with a genre other than one of the genres listed is 168.

How to calculate the probability?

The number of people who responded with a genre other than one of the genres listed will be:

= 600 - (102 + 114 + 84 + 132)

= 600 - 332

= 168

The probability for adventure = 102/600 = 0.17

The probability for comedy = 114/600 = 0.19.

The probability for mystery = 84/600 = 014

The probability for romance = 132/600 = 0.22

The probability for others = 168/600 = 0.28

Learn more about probability on:

https://brainly.com/question/24756209

good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!

Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?

A)x^2 - 16x + 64 = -21

B) x^2 - 16x + 64 = -21 + 64

C) x^2 - 16x + 16 = -21 + 16

D) x^2 - 16x + 8 = -21 + 8

Answers

Answer:

B) [tex]x^{2} -16x+64=-21+64[/tex]

Step-by-step explanation:

The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.

See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!

Have a great day!

Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471. 80 b. $943. 60 c. $1,415. 40 d. $1,887. 20.

Answers

The gross monthly income for 4 weeks is $1,887.20

We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,

What is the  computation of the gross monthly income for 4 weeks?

Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks

Gross income= $16.85 × 7 × 4 × 4

Gross income= $1,887.20

Therefore, the gross monthly income for 4 weeks is $1,887.20.

To learn more about the gross monthly income visit:

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