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Stolb23 [73]
4 years ago
8

Kimberly drives at a rate of 50 miles per hour on her trip across the country. If it takes Kimberly 200 gallons of gasoline to d

rive 500 miles, how many minutes will it take her to use x gallons of gasoline if she uses gasoline at the same average rate of consumption?
1. 20x
2. 3/x
3. x/20
4. 3x
Mathematics
1 answer:
ipn [44]4 years ago
3 0

Answer:

3x

Step-by-step explanation:

50 mi/hr × (1 hr / 60 min) × (200 gal / 500 mi) = ⅓ gal/min

(⅓ gal/min) × (t min) = x gal

t = 3x

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You commute to work a distance of 40 miles and return on the same route at the end of the day. Your average rate on the return t
boyakko [2]

Answer:

The average rate on the outgoing trip is 30 miles per hour.

Step-by-step explanation:

Consider the provided information.

You commute to work a distance of 40 miles and return on the same route at the end of the day.

Your average rate on the return trip is 30 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 2 hours.

Let the average rate on the outgoing trip is x

Average rate on the return trip = x+30

As we know Time=\frac{Distance}{Speed}

\frac{40}{x}+ \frac{40}{(x+30)} = 2

\frac{40(x+30)+40x}{x(x+30)}= 2

40x+1200+40x= 2(x^2+30x)

80x+1200= 2x^2+60x

2x^2-20x-1200=0

x^2-10x-600=0

x^2-30x+20x-600=0

(x-30)(x+20)=0

The value of x can't be a negative number so x=30

Hence, the average rate on the outgoing trip is 30 miles per hour.

6 0
3 years ago
James answered 84% of the test questions correctly. He answered 21 questions correctly. How many questions were on the test?
Dimas [21]
There were 25 questions. 21/25 x 100 = 84%
3 0
3 years ago
Matthew has saved a total of $14,800, of which $3700 is invested in the stock market. What percent of his total savings is inves
aivan3 [116]

Answer:

$ 56 .0000

Step-by-step explanation:

.......... ....... ....... ........ .....

3 0
3 years ago
Will give brainliest - somebody please help me
mina [271]

Answer:

1 to the left and 7 up

Step-by-step explanation:

The x coordinate goes from 3 to 2, so that is your 1 to the left.

The y coordinate goes from -4 to 3, so that is your 7 up.

3 0
3 years ago
Which point on the graph represents the y-intercept?
babunello [35]

Answer:

Step-by-step explanation:

It would be point B. Since y-intercept is when the x is at 0, the answer would be point B.

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2 years ago
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