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Mrrafil [7]
3 years ago
7

During the first four months of the year, Jack earned $1270, $1150, $870 and $1450 If Jack must have an average salary of at lea

st $1150 in order to earn retirement benefits, what must Jack earn in the fifth month in order to qualify for benefits?
Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

1010

Step-by-step explanation:

There are a whole class of questions that rely on the method to this one.

First add up what you know

1270 + 1150 + 870 + 1450 = 4740

Now add on the 5th month (which you don't know. Call it x)

4740 + x

Divide by 5

(4740 + x)/5 = 1150 and that is your equation    

Solution

Multiply both sides by 5

5*(4740 + x) / 5 = 1150 * 5

4740 + x = 5750

Subtract 4740 from both sides

4740 - 4740 + x = 5750 - 4740

x = 1010

Which seems kind of low, but that's what the numbers come to.

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Jose can read 7 pages of his book in 5 minutes. At this rate, how long will it take him to read the entire 175 page book?
il63 [147K]
125 minutes, or 2 hours and 5 minutes.

\frac{5}7 = \frac{x}{175}
cross multiply
5*175=7x
875=7x
\frac{875}7=x
125=x
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3 years ago
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among the 2287 respondents, 500 said that they only play hockey. what fraction of respondents said they only play hockey?
Jet001 [13]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were children's tickets. How many children's ticket
professor190 [17]
According to my calculations the 30% of 570 is 171

10% of 570 is 57

times that by 3 and you get 171
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3 years ago
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The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $7
Shtirlitz [24]

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

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An adult costs $16

5 0
3 years ago
Which of the sets of ordered pairs represents a function?
alexandr1967 [171]

Answer:

The correct option is 4. Neither A nor B represents a function.

Step-by-step explanation:

The given sets of ordered pairs are

A=\{(1,-5), (8,-5), (8,7), (2,9)\}

B=\{(7,-4), (7,-2), (6,-3), (-9,5)\}

A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.

In set A the value of y-coordinates are -5 and 7 at x=8.

At x=8, there exist more than one value of y, so the set A is not a function.

In set B the value of y-coordinates are -4 and -2 at x=7.

At x=7, there exist more than one value of y, so the set B is not a function.

Therefore neither A nor B represents a function and option 4 is correct.



3 0
3 years ago
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