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Lilit [14]
3 years ago
13

I need some tips and examples for subtracting integers. Appreciated!

Mathematics
2 answers:
Tcecarenko [31]3 years ago
5 0

one tip:

Example: 4 - (-3)

it instantly becomes positive because the negatives are close to each other as shown.

hope that helps :)

gavmur [86]3 years ago
5 0

Since an integer is any whole (not fractional) number on the number line, all you have to do is move to the left however many units you're subtracting by <em>from </em>the point given. Say the problem is 3 - 7. This means we start at 3, and move to the left 7 units, which lands us at -4. However, if we had a problem like 12 - (- 2), the two negatives would cancel out, meaning we will move to the <em>right</em> 2 units on the number line, or 12 + 2, which is 14. Some other examples are:

-12 - 4, (you should get -16)

3 - 8, ( you should get -5)

16 - (- 3), ( you should get 19)

I hope these tips helped you out! I know that when I first had to subtract integers, using a number line really helped me out. Eventually, it'll just be a natural thing. :D

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For what value of b makes this equation true? (Solve for b)<br> b +9 = -2
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▹ Answer

<em>b = -11</em>

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After the booster club sold 40 hotdogs at a football game, it had 90$ in profit. After the next game, it had sold a total of 80
sergiy2304 [10]
Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
Profit for 40 hotdogs = $90 profit

Equation No. 2 -
Profit for 80 hotdogs = $210 profit

STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30

Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3

Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30
3 0
3 years ago
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