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padilas [110]
2 years ago
14

Jacks Car averages 31.5 miles on the highway per gallon. If his fuel tank holds 13.2 gallons and it is 3/4 full then how far can

he travel on the highway on his tank of gas?
Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Answer:

311.85 miles

Step-by-step explanation:

Fuel tank holds 13.2 gallons and is 3/4 full, therefor the actual amount of fuel Jack has=(3/4)×13.2 gallons=9.9 gallons

The car travels 31.5 miles per gallon, 31.5 miles= 1 gallon

Then 9.9 gallons will take him for= (31.5×9.9) miles= 311.85 miles

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Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the sno
Zanzabum

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of \frac{1}{3}, so the snow melted in x hours will be \frac{1}{3}x.

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

10-\frac{1}{3}x

To find the depth of snow after 3 hours we will substitute x=3 in our expression.

10-\frac{1}{3}\times 3

10-1

9

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

3 0
3 years ago
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Pls Can we be friends
Bogdan [553]

Answer:

Yes

Step-by-step explanation:

Of course we can.

7 0
2 years ago
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What is the equation of a line that has a slope of 0 and goes through the point (4, 10)?
kompoz [17]

Answer:

y =10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 0 and (x0, y0) = (4, 10)

On substituting;

y - 10 = 0(x-4)

y - 10 = 0

y = 0+10

y = 10

Hence the required equation of the line is y =10

4 0
2 years ago
A) NO CHANGE
shutvik [7]

The most appropriate choice for sentence correction will be given by: straightforward (option D).

<h3>What is sentence correction?</h3>

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

  • In the given Sentence, "Her goals were <u>straightforward, however:</u> reduce waste, maintain and perpetuate knowledge and skills, and strengthen community."
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To learn more about sentence correction, refer to the link: brainly.com/question/14632568

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8 0
2 years ago
Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered
inn [45]

Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

5 0
2 years ago
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