​Yesterday,
grace drove 35 1/2used
gallons 1 1/4 of gasoline. What is the unit rate for miles per​ gallon?

Answers

Answer 1

Answer:

The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75

Step-by-step explanation:

35.5 divided by 1.75 is 33.75

33.75 as a fraction is 135.75 which is an improper fraction

So you have to divide the numerator by the denominator

135 divided by 75 is 1.8 as a decimal

Answer 2

Answer:

28.4

Step-by-step explanation:

35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!


Related Questions

what is the solution to the equation represented by the model below?

x= -14
x= -2
x= 2
x= 14

Answers

Answer:

C

Step-by-step explanation:

On the left, we have 3 positive x bars and 8 1s.

Hence, the left can be represented by the following expression:

[tex]3x+8[/tex]

On the right, we have 4 positive x bars and 6 1s.

Hence, the right can be represented by the following expression:

[tex]4x+6[/tex]

The two are equivalent. Therefore:

[tex]3x+8=4x+6[/tex]

Solve for x. Subtract 6 from both sides:

[tex]3x+2=4x[/tex]

Subtract 3x from both sides:

[tex]2=x[/tex]

Flip:

[tex]x=2[/tex]

Hence, our answer is C.

Answer:

kelvin is right lol

Step-by-step explanation:

There are 28 Year 8 students going on the ski trip, out of the 45 students going. Write this proportion as a percentage. Give your answer correct to 1 decimal place.

Answers

Answer:

62.2%

Step-by-step explanation:

We are told in the question that:

The total number of students going = 45 students

The number of year 8 students going for the ski trip = 28 students

The proportion is :

28/45

Converting this proportion to a percentage.

28/45 × 100

= 0.6222222222222222 × 100

62.222222222%

Approximately to 1 decimal place is

62.2%

What is the image of (-3, -3) after a dilation by a scale factor of 1/3 centered at the
origin?

Answers

The image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin is  (-1, -1).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, the image of (-3, -3) after dilation by a scale factor of 1/3 centered at the origin will be,

= (-3/3, -3/3).

= (-1, -1).

It has been shrinked by a factor of three the image became smaller.

learn more about transformations here :

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A swimming pool is 30 feet wide and 50 feet long. If it is surrounded by square tiles, each of which is 1 foot by 1 foot, how many tiles are there surrounding the pool?

Answers

Answer:

164 tiles

Step-by-step explanation:

Per the above details, we will require tiles along all the sides of the swimming pool ,hence the circumference of the pool is denoted as;

= 2(wide + long)

Wide = 30 feet

Long = 50 feet

Circumference = 2(30 + 50)

Circumference = 2(80)

Circumference = 160.

It means that minimum of 160 tiles of 1 ft length is required, however, we will also require tile on each of the corners(4), total equals

= 160 + 4

= 164 tiles

A total of 164 tiles are there surrounding the pool.

please solve this
√0.6×√2.4=​

Answers

The solution is 6/5
In decimal is 1.2

Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6

Please answer this asap

Answers

Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue
sticks and spends $3 on glitter. Helen buys 2 glue sticks, and she spends $3.75 on tape
and $2.75 on paint. What is the cost, x, of each glue stick?

Answers

Since we don't have a total cost we will write an equation that will allow us to find the cost of x. The equation is 4x= 2x + $3 + $3.75 + $2.75. Now that we have our equation we are going to start by adding 3, 3.75, and 2.75. When added together, they come out with a total of 9.5. Now the equation becomes 4x= 2x + $9.50. Since we have our new equation we are going to subtract 2x from both sides of the equation. We now have the equation 2x= $9.50. Finally, you will divide both sides by 2. This leaves us with the final outcome x= $4.75. This means that one glues stick cost $4.75. Let's check by substituting $4.75 as the value of x in the expressions 4x is Carlo's total and 2x + $3 + $3.75 + $2.75 is Helen's total. First we do 4x, 4 multiplied by 4.75 equals 19, so Carlo spent $19 on art supplies. Now we do 2x + $3 + $3.75 + $2.75, which is 9.5 added to 9.5 and equals 19. So Helen spent $19 on art supplies. This proves that the cost of one glue stick, x, is equal $4.75.

could someone help me please!!
Susan is going to a Columbia Fireflies game. Each ticket (t) costs $14. She also had to pay $8 for parking. If she can spend $50 or less total, how many tickets can she buy?

Solving Real World Linear Inequality Applications

Answers

Answer:

She could buy 3 tickets

Step-by-step explanation:

$14 x 3= 42

$42 + $8=50

use the line to approximate the rate of change for the parabola between x=1 and x=2

Answers

Answer:4

Step-by-step explanation:

the triangle is rotated 90° clockwise around the point (0,0) what will be the coordinates of the image of point L after rotation​

Answers

Answer:

help please i need helppppp

Click the picture which is the correct answer?Make sure the answer is actually right really need help !

Answers

h = 2(A/a+b) is the correct formula

I NEED HELP! I AM THE WORST AT MATH

Jonah is playing a video racing game called Checkpoint. The speed of Jonah’s car is recorded four times during one lap. At the first checkpoint, his speed is 80 miles per hour. At the second checkpoint, his speed has reduced by 5%. At the third checkpoint, Jonah’s speed has increased by the speed from the previous checkpoint. At the fourth checkpoint, his speed decreased by 20% compared with the third checkpoint. What is Jonah’s net change in speed between the first and fourth checkpoints?
A. 4
B. -4
C. 15
D. -15

Answers

Answer:

Its -15 or D

Step-by-step explanation:

Answer:

D. -15

Step-by-step explanation:

Will the following list have a large or small Standard Deviation?
42, 1, 793, 20, 500, 1000, 127, 900, 382, 99
A. Large
B. Small
C. Not Enough Evidence Given

Answers

Answer:

large

Step-by-step explanation:

Answer:

A. Large

Step-by-step explanation:

What’s the value of y?

Answers

Answer:

c. 19

Step-by-step explanation:

This model is describing a function. You put in a number for x, in this case, the input of 7 on the side. You solve the equation with that x-value to get a y-value/output.

x=7

y=3x-2

y=3(7)-2

y=21-2

y=19

Write the equation of the line that goes through (2, 1) and is PARALLEL to 4x - 2y = 3 pls help asap! i have more questions like this also if someone could help me out

Answers

Answer:

Step-by-step explanation:

4x-2y=3

Get into y=mx+b

-4x on each side

Then divide by -2

y=2x- 1.5

Now if a line is parallel to another line the slope will be the same. If perpendicular the slope will be the negative reciprocal. As you said it is parallel the slope is 2.

y = mx+b

y = (slope)x + y-intercept

y= 2x + 1

Sorry if it is wrong but I hope it is right

- If the exterior angle of the triangle measure 133°, and its remote interior
angles measure x° and (2x-5)°, what is the value of x?

a. x = 61.7°
b. x = 133°
c. x = 47°
d. x = 46°

Answers

Answer:

D

Step-by-step explanation:

Mathematically;

the exterior angle is the sum of the two remote interior angles

Thus;

x + 2x-5 = 133

3x-5 = 133

3x = 133 + 5

3x = 138

x = 138/3

x = 46

PLEASE HELP! IT'S DUE TODAY!

Answers

Answer:

25 ft

Step-by-step explanation:

5x = 10² ⇒ x = 20

h = 20 + 5 = 25 ft tall

5x <10 what is the answer? Soo easy​

Answers

i think its x = 2 i think if im wrong sorry

Answer:

The answer is x<2

Step-by-step explanation:

First, divide both sides by 5

5x/5 < 10/5

x<10/5

x<2

what's the equivalent expression of 2(4x+1)​

Answers

Answer:

Step-by-step explanation:

Are there any choices?

2(4x+1)

8x+2

The expression equivalent of 2(4x+1)​ would be; 8x+2

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to find the expression into an equivalent.

Therefore, given expression is

2(4x+1)​

This expression could also be given by;

2(4x+1)​ = 2(4x ) + 2

Now, we know that:

2(4x+1)​ = 8x+2

Hence, the expression equivalent of 2(4x+1)​ would be; 8x+2

Learn more about expression here;

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Carrie wants to conduct a randomized experiment on 50 articles of her dirty clothing to see if detergent A or detergent B cleans better. Which of the following best describes the method for randomization using slips of paper within this experiment?
A. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 slips of paper to wash with detergent A and the remaining slips to wash with detergent B.
B. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 of them. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
C. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Carefully place the slips of paper in a stack and choose the top 25 slips of paper. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
D. Label each article of clothing with a number from 1 to 50, and write those numbers on different-sized slips of paper. Use large slips for pants, medium-sized slips for shirts, and small slips for shorts. Shuffle the slips of paper and choose 25 slips of paper. The numbers on those slips will represent the items that will be washed with detergent A and the remaining items will be washed with detergent B.
E. Label each article of clothing with a number from 1 to 50, and write those numbers on identical slips of paper. Shuffle the slips of paper and choose 25 of them. The numbers on those slips will represent the items that will be washed with detergent A. Replace those slips and shuffle all 50 slips again and choose 25 slips again. The numbers on those slips will represent the items that will be washed with detergent B.

Answers

Answer:

b

Step-by-step explanation:

Because if it has to be random then you wouldn't know what 25 numbers you were going to pull out.

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP ILL GIVE BRAINLIEST

Answers

Answer:

25

Step-by-step explanation:

asq+bsq=csq

49+576=625

Root 625=25

25 yesssssssssss it’s right

How many moles are in the 500.0g lump of coal (which is made of carbon) that you received in your Christmas stocking last year?
How many carbon atoms are in this 500.0g lump of coal?

Answers

Answer:

Number of moles = 41.67 (Approx)

Number of carbon atom = 250.97 x 10²³ (Approx)

Step-by-step explanation:

Given:

Amount of carbon = 500 g

Find:

Number of moles

Number of carbon atom

Computation:

Number of moles = 500 / Atomic number of weight

Number of moles = 500 / 12

Number of moles = 41.67 (Approx)

Number of carbon atom = Number of moles x Avogadro number

Number of carbon atom = 41.67 x 6.023 x 10²³

Number of carbon atom = 250.97 x 10²³ (Approx)

yxyxyxyxy simplified

Answers

Answer:

5y * 4x or 5y4x

Step-by-step explanation:

:)

In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches

Answers

Answer:

12. Hope this helps!!!

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: edge

You have 2 apples and 8 oranges.
apples : oranges

Answers

Answer:

1:4. if simplified

Step-by-step explanation:

ksgsktskst

I am so confused, I think that is D, xD​

Answers

Answer:

it is D.... PERIODT

Step-by-step explanation:

700,000,000+60,000,000+8,000,000+90,000+2,0000+50+4

Answers

Answer:

768,092,054

Step-by-step explanation:

700,000,000+60,000,000+8,000,000+90,000+2,000+50+4

The easiest way to solve is to put the numbers in every place value they go in. So, the answer would be...

768,092,054

Hope this helps! Have a nice day :D

this is an identifying functions lesson someone please help

Answers

It means that the rental truck cost 60 dollars.

Explanation:

If c(x) means the cost of the rental trucks, then in the chart it means that it cost 60 dollars to be rented for 3 days.

Hope this helped :)

Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 1/2 year, she had earned $5.00 in interest on the account.


No other money was deposited into or withdrawn from the account.


How much was her initial deposit?

Answers

Answer:

800

Step-by-step explanation:

Just took the quiz

What are the factors of the trinomial? Select two options.

x – 14
x + 7
x – 7
x – 2
x + 2

Answers

X-7 & X+2
I thinkkkkkk

The factors of the trinomial are x-7, x-2.

What is Trinomial Polynomial?

A trinomial has three terms.

The complete question is

The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 24 tiles are in the Product spot: 1 is labeled x squared, 7 are labeled negative x, the 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. What are the factors of the trinomial? Select two options. X – 14 x 7 x – 7 x – 2 x 2.

Here, among all the given factors, model of trinomial, which is represented by the algebra tile configuration is

x-7, x-2

Learn more about this concept here:

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