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Semmy [17]
3 years ago
7

Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to t

he market. If she drives along the same route, at an average speed that is 8 times her average walking speed, how many minutes does it take her to drive home from the market?
Mathematics
1 answer:
Delicious77 [7]3 years ago
3 0

9514 1404 393

Answer:

  3 minutes

Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

  (walking speed)(walking time) = (driving speed)(driving time)

  5(x +21) = (8·5)(x)

  x +21 = 8x . . . . . . . . . divide by 5

  21 = 7x . . . . . . . . subtract x

  3 = x . . . . . . .divide by 7

It takes Alysha 3 minutes to drive home from the market.

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Baseball hat is on sale for 15% off, which is $2.70. How much does the baseball hat cost at full price?
lidiya [134]

Answer:

27.9 dollars

Step-by-step explanation:

2.70= 15 percent

2.70x2=5.4=30 percent

5.4+2.70=8.1=45 percent

8.1x2=16.2=95 percent

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18.9=105 percent

in order to subtract 5 percent we need to find 5 percent by dividing 2.70 by 3

which = .9

18.9+9=27.9

100 percent is 27.9 dollars

4 0
3 years ago
RT has the endpoints (0, 2) and (4, 2). What is its midpoint?
Nimfa-mama [501]
R=(0,2), T=(4,2)
vector:
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v/2=(2,0)

(0,2)+v/2=(2,2)

so (2,2) is the midpoint
3 0
4 years ago
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finlep [7]

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

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then 1/3* 22/7* 2*2 *4

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A true-false test contains ten questions. How many different ways are there of completing this test?
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Answer:

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Step-by-step explanation:

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