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lawyer [7]
3 years ago
11

1. If one painter can paint a house in 4 days and another painter can paint a house in 7 days, how many days will it take them w

orking together?
2. A car and a motorcycle both leave at the same point at the same time and travel in the same direction. The car travels at an average rate of 55 mph and the motorcycle travels at an average rate of 40 mph. How long will it take before the vehicles are 25 miles apart?
Mathematics
1 answer:
enyata [817]3 years ago
6 0

9514 1404 393

Answer:

  1. 2 6/11 days
  2. 1 2/3 hours

Step-by-step explanation:

1. Add the rates in terms of houses per day.

  1/4 + 1/7 = (7+4)/28 = 11/28

Then the time required in terms of days per house is the reciprocal of this:

  28/11 = 2 6/11 . . . . days to paint a house, working together

__

2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...

  time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h

The vehicles will be separated by 25 miles after 1 2/3 hours.

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Answer and Step-by-step explanation:

The answer is 5 units.

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8 0
3 years ago
In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav
raketka [301]

c. 4.6

       

21 X .22= 4.6

       

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

4 0
3 years ago
47 + 34 = 3k + 3k + 3k<br> solve for k
ICE Princess25 [194]

Answer:

Step-by-step explanation:

47+34=9k

81=9k

k=81/9=9

k=9

6 0
3 years ago
Read 2 more answers
An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How
zavuch27 [327]

Answer:

$34,300

Step-by-step explanation:

First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455

455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

5,460 * 5 = 27,300

You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account

6 0
2 years ago
What is the aswer ??????​
Rom4ik [11]

Answer:

A is correct don't you know

8 0
2 years ago
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