The product of two consecutive integers is 5 more than three time the larger. What are the integers?

Answers

Answer 1

Answer: When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!

So the integers are -7 and -6.

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Answers

Answer: it was 4 and 5

Step-by-step explanation:

Answer:

The y would be 6 and the x would be 5

Step-by-step explanation:

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Answers

so he purchased the game for (100-30)% or 70%
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divide both sides by 7
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multiply both sides by 10
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Answers

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or
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What is the gcf of 48, 64 and 72

Answers

The highest number that 48, 64, and 72 can all be divided by (the gcf or greatest common factor) is 8.

The greatest common factor is 8 because Prime factor is 2 and 4, Number 48 is 4 and 1 Number 64 is 6 and o Number 72 is 3 and 0 which it would all equal 2^3 so 48 = 2^4 times 3 64 = 2^6 and 72 = 2^3 times 3^2 Hope this helps.

Mr. Carter is planning a special event for 98 guests. A catering company tells him that the cost of food for each guest will be $16. The cost for drinks for each guest will be another $5. Based on that, Mr. Carter works out that the total catering bill will be $20,580. Does that sound about right?

Answers

Answer: No, the correct answer is $2058.

Step-by-step explanation:

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Answers

So -3 is -(-3) and the opposite of -3 is 3.
so 3 is your anwser.

you would just do the opposite and the opposite of a negative is a positive so its +3

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