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Xelga [282]
3 years ago
6

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

id Josie drive? Round to the nearest mile.
Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

Answer:

Therefore Josie drove  57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

Distance= time \times speed

Given that Josie drove 45 minutes at 70 miles per hour.

45 \ minutes= \frac{45}{60}\ h=\frac34\ h

In 45 minutes, she traveled  = (70\times \frac34) \ miles

                                                =52.5 miles.

The she drove 15 minutes at 20 mile per hour.

15 \ minutes= \frac{15}{60}\ h=\frac14\ h

In 15 minutes, she traveled =(20\times \frac 14) \ miles

                                            =5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

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Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

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Let,

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According to given statement;

25x+10y=630    Eqn 1

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Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

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Putting x=14 in Eqn 2

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Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

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