Emily knows that she can drive her car an average of 40 miles while using one gallon of gasoline. How many
gallons of gasoline will she need for at trip of 180 miles?

Answers

Answer 1

Answer:

4.5 gallons of gas

Step-by-step explanation:

180 ÷ 40= 4.5

Answer 2

Answer:

4.5 gallons

Step-by-step explanation:

Proportions:

40 miles ⇒ 1 gallon

180 miles ⇒ D gallons

D = 180miles * 1 gallon / 40 miles

D = 4.5 Gallons


Related Questions

Which of the following sets is NOT closed under addition.
A) Natural Numbers
B) Whole numbers
C) Integers
D) Odd numbers

Answers

The odd numbers do not follow the closure property of addition.

What is a closure property of addition?

The closure property of addition states that when any two numbers from the set of reals are added, the result will always be a real number. For example 2 + 3 = 5

Explanation

When we add any two natural numbers, the result is always a natural number, i.e. 2 + 1 = 3. Thus, it follows the closure property of addition.

When we add any two whole numbers, the result is always a whole number, i.e. 3 + 0 = 3. Thus, it follows the closure property of addition.

When we add any two integers, the result is always an integer, i.e. 2 + (-5) = -3. Thus, it follows the closure property of addition.

When we add any two odd numbers, the result is not an odd number, i.e. 3 + 1 = 4. Thus, it does not follow the closure property of addition.

Hence, the odd numbers do not follow the closure property of addition.

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Read this excerpt from “The All American Slurp”
In china we never ate celery raw or any other kind of vegetable raw. We always had to disinfect the vegetables in boiling water first. When we were presented with our first relish tray, the raw celery caught us unprepared

What story element does the author develop in this excerpt?
Conflict between family members.
Character traits of the Lin family.
Plot details about the Gleason party.
Setting details about the Lins hometown.

Answers

From the excerpt that we have here the story element that the Character traits of the Lin family.

What does the character trait mean?

This is the term that is used to refer to the words that are used in order to offer the characterization of a person. These are the terms that would help to show the personalities and the qualities that a person has. It tells us who these persons are and the way they would be described if we are to talk about them to other people.

Based on the description that I have given here, the way that we would be able to talk about this family would be that they are known to prepare their food in a different way that the Americans made theirs.

From what they said, they would always have to put their vegetables first in boiling water. This would make it less raw. But from what they were offered in America, they had to eat the vegetables that had been left raw.

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A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What is the measure of exterior angle formed on the ground? 5 degrees 90 degrees 125 degrees 180 degrees

Answers

In linear equation 125 degrees is the measure of exterior angle formed on the ground.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

we know that the sum of all the angles of a triangle is 180

therefore

11x+7x+90=180

18x=90

x=5

exterior angle formed on the ground=180-11x

=180-55

=125

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Solve the following quadratic equation for all values of x in simplest form.
11- x² = -3

Answers

Answer:

x = √14

Step-by-step explanation:

11- x² = -3

x² = 14

x = √14

Divide 6/13 by 6/12 .
A. 12/13
B. 9/16
C. 1/12
D. 13/12

Answers

The answer is A. 12/13

Which of the following properties is demonstrated by the equation below?

9(x+3)=9x+27


distributive property


inverse property of addition


associative property of addition


communitive property of addition

Answers

Answer: Distributive Property

Step-by-step explanation:

This is an example of the distributive property because the 9 is being distributed into each term, yielding the 9x and the 27.

Distributive property

f(x) = cube root 2x
g(x) = 2x + 1
Find (f/g) (X) Include any restrictions on the domain

Answers

Answer : B
This might be help

d•r=r•d


O Commutative Property of Multiplication
O Identity Property of Multiplication.
O Zero Property of Multiplication
O Commutative Property of Addition

Answers

Answer:

Commutative property of multiplication

The set of real numbers is composed of rational and irrational numbers.

A. true
B.false

Answers

Answer:

true..... ............

Just 17 and 18 please!

Answers

[16] f(-3) = -5

      #17 is asking us to find what the function equals when x is equal to -3. We will find x = -3 on the graph, then find what y equals.

[17] f(4) = 0

      #17 is quite similar, it is asking us to find what the function equals when x is equal to 4. We will find x = 4 on the graph, then find what y equals.

You asked in the comments for #16 and #17, I hope this helps.

Can someone do 4,6,8 for me pls show work I give l Brainly and extra point

Answers

Answer:

4.) T = M - N

T(-M) = M - N (-M)

(/-1) T - M = -N (/-1)

-T + M = N

6.) Ax + By = C

(-Ax) Ax + By = C (-Ax)

By = C - Ax

By (/B) = (C - Ax)/(B)

y= (C - Ax)/B

8.) C = pi(d)

(/pi) C = d

C/pi = d

HELP ME OUT PLEASE I NEED BETTER GRADES

Answers

Hope this helped :)
Check the image below for working

Answer:

person above me is right pls give them brainliest!!!

Step-by-step explanation:

74 oz at $4.64
42 oz at $2.91

Answers

Answer: 4.64+2.92 =  7.55oz

Step-by-step explanation:

At a price of $180 there is demand for 2520 items and a supply of 1440 items. At a price of $330 there is demand for 1470 items and a supply of 2640 items. Assuming supply and demand are linear, find the equilibrium price and quantity.

Answers

Assuming supply and demand are linear, the equilibrium price is equal to $252 and the equilibrium quantity is equal to 2,016 items.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

First of all, we would determine a linear function for both supply and demand by finding the slope using this formula as follows:

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Note: price (p) in dollars would be the output and quantity (q) would be the input.

For supply, the points include the following:

Points (p, q) = (1,440, 180).Points (p, q) = (2640, 330).

Slope, m = (330 - 180)/(2640 - 1440)

Slope, m = 150/1200

Slope, m = 1/8.

Next, we would find the y-intercept at (1,440, 180):

p = qm + c

180 = 1/8(1440) + c

180 = 180 + c

c = 0.

Therefore, the supply equation is p = q/8.

For demand, the points include the following:

Points (p, q) = (2,520, 180).Points (p, q) = (1,470, 330).

Slope, m = (330 - 180)/(1,470 - 2,520)

Slope, m = 150/-1,050

Slope, m = -1/7.

Next, we would find the y-intercept at (2,520, 180):

p = qm + c

180 = -1/7(2,520) + c

180 = -360 + c

c = 180 + 360.

y-intercept, c = 540.

Therefore, the demand equation is p = -q/7 + 540.

In order to find the equilibrium price and quantity, we would set the supply equal to the demand:

q/8 = -q/7 + 540

Multiplying all through by 56, we have:

7q = -8q + 30,240

15q = 30,240

q = 30,240/15

Equilibrium quantity, q = 2,016 items.

For the equilibrium price, we have:

p = q/8

p = 2,016/8

Equilibrium price, p = $252.

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The table below summarizes results from a study of people who refused to answer survey questions. A pharmaceutical
company is interested in opinions of the elderly. What is the probability that the selected subject is someone 60 and over
who responded?
Responded
Refused
18-21
76
15
22-29
258
24
30-39
248
37
Age
40-49
139
30
50-59
141
39
60 and over
205
61

Answers

Answer:

okay. We need to find the probability that I've met a person is of age 45 to 64 given that they do not smoke. Okay, well, says we're interested in the second Age Group. Would Look, we need to look at this. The second row here of the table. Okay, Um, now, since they don't so so we can't quite look at just these products directly says we're given that they don't smoke instead of the fact that they do smoke. So instead of looking at instead of just using this product that I've circled in red, I need to I need to take this green circled number and subtracted. So? So when I mean, it's gree this green circle numbers subtracted. Red circle number. Okay. And what would that give us? That's work. That out on the calculator. So points reform minus 0.7 for eight. That's 0.2652 My brave Onda, who, instead of looking at the total of these products, you need to subtract one from it or two. Oh, Uh, 31 Asher B 0.7 se 7969 Okay, so then this Just 0.2652 over it. 0.79 69 Okay, so let's do that. We have. Let's work that out on a calculator. We get around 0.33 three. Thank you for watching.

GUYS HELP Albert buys a tv that has a regular price of $2,399. The tv is on sales for "21% off". If
the sales tax rate is 8.25%, what is his final cost of the tv?

Answers

The final cost of the TV is $1966.9

How to determine the final cost of the TV?

The given parameters are:

Regular price = $2300

Discount = 21%

Sales tax = 8.25%

The final cost of the TV is calculated as

Final cost = Regular price * (1 - Discount) * (1 + Sales tax)

So, we have:

Final cost = $2300 * (1 - 21%) * (1 + 8.25%)

Evaluate

Final cost = $1966.9

Hence, the final cost of the TV is $1966.9

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Stanley can purchas a 15.4-ounce bottle of
olive oil for $5.39 or a 23.6-ounce bottle of olive oil for $7.08.
Which bottle is the better buy? Explain.

Answers

Answer: They are the same deal

Step-by-step explanation:

15.4/5.39=3.33333...

23.6/7.08=3.333333...

the difference of twice
a number and seven is nine

Answers

Answer:

16!

Step-by-step explanation:

16
That the number squaring is 8

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 140 gallons of a mixture that contains 65% pure antifreeze. How many gallons of each brand of antifreeze must be used?

Answers

If a chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. The number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

Number of  gallons for each brand of antifreeze

Let call x = The amount of 20% pure antifreeze needed

Let  140 - x = amount of 95% antifreeze needed

Hence,

x gallons of 20% antifreeze + (140-x) gallons of 95% = 140 gallons of 65%

Thus,

.20x + .95(140-x) = .65(140)

.20x + 133 - .95x = 91

Collect like terms

42= .75x

Divide both side by .75x

x=42/.75

x=56

Hence,

56 gallons of 20% antifreeze

84 gallons of 95% antifreeze

Therefore the number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

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A transportation company charges a fee of $125 plus $50 per hour to rent a limousine. If John paid $425 for a limousine, for how many hours did he rent the limousine?


A. 7
B. 6
C. 5
D. 4

Answers

John rented the limousine for 6 hours.

The minimum fee charged by the transportation company to rent a limousine is $125.The hourly fee charged by the transportation company to rent a limousine is $50.The amount of money paid by John to rent a limousine is $425.Let the number of hours for which John paid for the rent of the limousine be "x".A formula that represents the equality of two expressions by linking them with the equals sign is known as an equation.The above-given data helps us to form the linear equation given below :425 = 125 + 50x300 = 50xx = 6Thus, John rented the limousine for 6 hours.

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100 POINTS + BRAINLYIEST
given f(x)=3(4-x) what's the value of f(-4)

Answers

Answer:x= −12/15

Step-by-step explanation:

Answer:

f(-4) = 24

Step-by-step explanation:

In order to find f(-4), set the value of x as -4 in the equation.

Given equation:

f(x) = 3(4 - x)

Substitute x = -4:

f(-4) = 3(4 - (-4))

f(-4) = 3(4 + 4)

f(-4) = 3(8)

f(-4) = 24

A bathtub is partially filled with g gallons of water.
Alice adds 10 more gallons of water to the tub,
making it 50% full. If Marco then adds 40 more
gallons of water, the tub will be 100% full. What is
the value of g?
A. 20
B. 24
C. 30
D. 40

Answers

Answer: C.) 30

Step-by-step explanation: 40 gallons = 50% full Alice added 10 more gallons to make it 50% full there was already 30 gallons in.

A side of the triangle below has been extended to form an exterior angle of 125. Find the value of x

Answers

Answer:

55°

Step-by-step explanation:

The angle that is represented with x and the exterior angle with a measure 125° are supplementary angles.

As known the sum of supplementary angles is 180 so the value of x:

180 - 125 = 55 and

x = 55 is the answer to the question.

Simplify the expression (X1/6)3

X2

X3

X1/3

X1/2

Answers

Bjr x23 , x≈3 j’espère que cela t’a aider


You need a 25% alcohol solution. On hand, you have a 325 mL of a 20% alcohol mixture.
You also have 50%
alcohol mixture. How much of the 50% mixture will you need to add to obtain the desired solution?

You will need


mL of the 50% solution

Answers

We need 65 ml of 50% mixture to obtain the desired solution.

Here, we need to make a 25% alcohol solution by mixing some amount of 50% alcohol mixture with 325 mL of a 20% alcohol mixture.

Let the amount of 50% alcohol solution be x

The the quantity of alcohol in 50% alcohol solution = 50% of x

= 0.5x

Similarly the the quantity of alcohol in 20% alcohol solution = 20% of 325

= 65ml

The total quantity of 25% alcohol solution = (325 + x) ml

Thus, the the quantity of alcohol in 25% alcohol solution = 25% of (325 + x)

= 0.25 (325 + x)

= 81.25 + 0.25x

Thus, we can form the following equation-

0.5x + 65 = 81.25 + 0.25x

0.5x - 0.25x = 81.25 - 65

0.25x = 16.25

x = 16.25/ 0.25

x = 65

Thus, we need 65 ml of 50% mixture to obtain the desired solution.

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A manager recorded the performance review scores for each employee and placed the results in the bar chart below. All employees received a rating on each of the Evaluation Categories. If Person 6 obtained the highest score possible, what score did Person 2 receive? Use the graph and tables below.

Answers

The score of person 2 is 30.

What is a bar chart?

A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width. In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.

Total score of person 6 with the highest score possible : highest score x number of options

5 x 9 = 45

This means that on the bar chart, the value of person 6's rectangle is 45. This means that each the value of the graph increases by 5. This means that each line increases by the value of 5.

Score of person 2 = number of lines to the height of the bar x 5

6 x 5 = 30

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Tripling the radius of a cylinder find the dimensions, surface area, before change and after change. Help ASAP please !

Answers

The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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2) Jerry and Gwen were running a relay race. The race was 12.06 kilometers total. If Jerry ran
6.76 kilometers how far did Gwen run?
3.
4.

Answers

Answer:

5.3 kilometers

Step-by-step explanation:

12.06 - 6.76 = 5.3

If the product of a number and -7 is subtracted from the number the result is 6 more than a number , what is the equation writte

Answers

The number is -6/7 and the equation is x-7*x=x+6.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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work
Question 2, 2.3.5
Part 1 of 2
Select the correct choice below and, if necessary, fill in the answer box within your choice
OA. The slope is (Simplify your answer.)
OB. The slope is undefined.

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical
(7.1) and (2.1)

Answers

The slope of the line passing through the pair of points is

Given points are:

A (7,1) = (x₁ , y₁)

B (2,1) = (x₂ , y₂)

slope of a line is : y₂ ₋ y₁/x₂ ₋ x₁

Slope equals a height change /Change in width. You may also say that a slope is a climb or a run. This formula changes if the graph's horizontal axis is represented by x and the vertical axis by y.

Assume that the line's slope is'm'.

m = y₂ ₋ y₁/x₂ ₋ x₁

m= 1 ₋ 1/2 ₋ 7

m = 0/₋5

m = 0

hence, when the slope is 0 then the line is horizontal .

Therefore, the slope is 0 which indicates that the line is horizontal.

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