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Mrrafil [7]
2 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]2 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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2 years ago
The graph shows two lines, A and B. A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3
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2 years ago
The domestic postage rate for first-class letters weighing 12 oz or less is $0.37 for the first ounce and $0.23 for each additio
tatyana61 [14]
The letter will cost $1.98.
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3 years ago
Mind my hand writing but I’m not sure what sign to put the “-“ or the “+” ?
Ierofanga [76]

hello!

so the answer that you put there is actually wrong and i'll tell you why and how to do it

so since you are adding the two:

-8x + 9x = x (so you got this part right)

-12 + 4 = -8 (this is where you got it wrong, -12 added 4 goes up in value to -8)

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i hope this helped and have a nice day!

4 0
3 years ago
Read 2 more answers
What is the perimeter of the triangle below? Round to the nearest hundredth.
Keith_Richards [23]

You're going to need to use Pythagoras' theorem to work this one out!

As you know, the perimeter of a triangle is just all the lengths of the sides added up.

We'll start with side AC first. We can see that A is (-8, -4) and C is (-6, -2). That means to get from A to C, we need to go 2 units to the right, and 2 units up. Which means we have our two sides to work out the length from Pythagoras' theorem. 2² + 2² = c², c = √8.

Now we'll move onto side AB. We already know A is (-8, -4) from above, and B is (-7, -8). That means to get from A to B, we have to go 4 units down, and 1 unit to the right. So once again: 4² + 1² = c², c = √17.

Lastly, we'll work out side BC. We know that B is (-7, -8) and C is (-6, -2). That means to get to C from B, we have to go 1 unit to the right and 6 units up. So, again: 1² + 6² = c², c = √37.

Now that we have all of our lengths, we simply just add them up!

√8 + √17 + √37 ≈ 13.03 units.

(I've also attached something to help you visualise how I worked it out.)

6 0
3 years ago
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