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OLga [1]
3 years ago
8

It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he es

timates that 30 seconds is added to his travel time. On Tuesday, Mr. Martin spends 14 minutes driving his route.Which equation can be used to determine the number of passenger stops, p, Mr. Martin had on Tuesday?
Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

It is given that Mr Martin takes 12 minutes to drive his bus route without stopping on any of the stops.

On Tuesday, it took him 14 minutes when he stooped to take the passengers. He estimated that it takes 30 sec for each stop.

60 second = 1 minute.

30 second = 0.5 minutes.

Let us assume, there were x stops.

Since it takes him 12 minutes without stopping, 12 minutes here acts as a fixed time.

Total time is given by the equation

y=0.5x+12 .... (1)

where t is the total time and x is the number of passengers.

To find the number of passengers, solve equation (1) for x ,

x=\frac{y-12}{0.5} .... (2)

Plug y= 14 into equation number  (2) gives 4 stops.

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How do you simplify (d+5) +(d+5) +(d+5)?
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Answer:

Step-by-step explanation:

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4 years ago
Solve the equation showing each inverse operation step:
valina [46]

Answer:

4 2/7 - 6/7 = 24/

7

= 3 3/

7

Step-by-step explanation:

Conversion a mixed number 4 2/

7

to a improper fraction: 4 2/7 = 4 2/

7

= 4 · 7 + 2/

7

= 28 + 2/

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= 30/

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To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

7

= 28/

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b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

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Subtract: 30/

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For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

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2 years ago
A rollercoasterbrises 210 feet into the air, drops 240 feet, rises 80 feet before dropping another 30 feet again. Finally the ro
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Answer:

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Step-by-step explanation:

What we know:

The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.

After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.

210 - 240 = -|240-210| = -|30| = -30 feet

After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.

-30 + 80 = |80 - 30| = |50| = 50 feet

Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.

50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop

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