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vichka [17]
3 years ago
14

The distance from New York City to Los Angeles is 4090 kilometers. a. [3 pts]What is the distance in miles? (You must use unit f

ractions. Round to the nearest mile and be sure to include units.) b. [3 pts]If your car averages 31 miles per gallon, how many gallons of gas can you expect to use driving from New York to Los Angeles? (You must use unit fractions. Round to one decimal place and be sure to include units.)
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer: a)  2556.25 miles

b) 82.5 gallons

Step-by-step explanation:

Given : The distance from New York City to Los Angeles is 4090 kilometers.

=4090\times\dfrac{5}{8}=2556.25\text{ miles} [∵ 1 km= \dfrac{5}{8} miles]

Hence, the distance in miles= 2556.25

If your car averages 31 miles per gallon, then the number of gallons of gas required to use driving from New York to Los Angeles =\dfrac{\text{Distance}}{31}

=\dfrac{2556.25}{31}=82.4596774194\approx82.5\text{gallons}

Hence, the required number of gallons = 82.5 gallons

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Jen’s goal is to run a total of 22 miles in five days. The table below shows her log for the number of miles she ran on Monday,
Ronch [10]

Answer: 5.875 miles run on Friday to reach her goal by Jen

Step-by-step explanation:

Since we have given that

Part of distance covered on Monday by Jen is given by

4\frac{3}{4}=\frac{19}{4}

Part of distance covered on Tuesday by Jen is given by

5\frac{1}{8}\\\\=\frac{41}{8}

Part of distance covered on Wednesday by Jen is given by

0

Part of distance covered on Thursday by Jen is given by

6\frac{1}{4}\\\\=\frac{25}{4}

Total part of distance covered in these four days by Jen is given by

\frac{19}{4}+\frac{41}{8}+0+\frac{25}{4}\\\\=\frac{38+41+0+50}{8}\\\\=\frac{129}{8}=16.125\ miles

Remaining part of distance will be covered on Friday to reach her goal which is given by

22-16.125=5.875\ miles

Hence, 5.875 miles run on Friday to reach her goal by Jen.


5 0
3 years ago
Read 2 more answers
Marvin is comparing two different music websites. Website A charges $10 per month for a subscription and $0.25 per song. Website
Alecsey [184]
Website A:
c = 10 + 0.25 s 
where c is the cost and s is the number of songs.
Website B:
c = 0.75 s
The equation ( answer ):
10 + 0.25 s = 0.75 s
We can solve this equation:
10 = 0.5 s
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3 years ago
I need help on all of #1
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For C at 7pm they sold most and at 6 am they sold less
8 0
3 years ago
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Solve:<br> 2/3x+15=17<br><br> 3x+8-x=7<br><br> 4(2x-6)=2
Volgvan

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

8 0
3 years ago
Find the sides on this 30-60-90 triangle
Serga [27]

Answer:

A = 3, B = 5.2

Step-by-step explanation:

i think that is right, i hope this helps.

6 0
2 years ago
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