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sesenic [268]
3 years ago
5

Question: when you subtract like terms how do you know what number to subtract from the other?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer: You would add them together, not subtract.

Step-by-step explanation: When you’re combining like terms, you always “add“ them together. For that example, you would add 3x and 10x together along with 4 and -9 together. That would look like (3x + 10x) + [4 + (-9)], which simplifies to 13x - 5 = 180.

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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
Please HELP! How do I set the combination problem to solve this... Ten students ask to visit a college admissions counselor. Eac
solniwko [45]

Answer:

30240

Step-by-step explanation:

There are 10 possibilities for the first time slot.

After that, there are 9 possibilities for the second time slot.

So on and so forth.

The number of ways five time slots can be assigned is:

10×9×8×7×6 = 30240

Or, using permutation notation, ₁₀P₅.

4 0
3 years ago
Colin buys a car for £42800.
guapka [62]

Answer:

Principal=₹42800

Rate of interest=5% but 2 years so multiply by 2 =5×2=10%

Time=2 years

Simple interest=42800×10×2/100= ₹8560

Amount=42800+8560=Rs51360

The answer is ₹ 51360

Please make me as brainliest

Step-by-step explanation:

8 0
3 years ago
Please helpppppp meeeee I neeeed answerssssssss
MissTica
I've done the first four questions. Use this method to answer the rest. For an odd number of objects find the cost of one and multiply by how many you are asked to find.

8 0
3 years ago
PLEASE HELP!!! the values in the table reresent a function
Sedaia [141]

Answer: 6-

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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