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GalinKa [24]
3 years ago
13

DIVIDE THE FOLLOWING INTEGERS. A. -78/ 12 B. - 155 /-5 C. 100 /-4

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0

Answer:

A. -6.5

B. 31

C.-25

Step-by-step explanation:

A. -78/12 = -6.5         ( A negative number divided by a positive number should result as a negative)

B. 31     (A negative divided by a positive should result as a positive)

C. -25  ( A positive divided by a negative should result as a negative)

A very helpful way to divided numbers is to first ignore the negative signs and do the division first. Then you should add the negative or positive sign in the end.

Virty [35]3 years ago
4 0

Answer:

A. -6.5

B. 31

C. -25

Step-by-step explanation:

A. Using long division, we know that 12 goes into 78 exactly 6 times without going over, so 12 times 6 is 72, but we get a remainder of 6. The remainder, 6, is half of 12. Half can be written as 0.5 in a decimal. So our answer is 6+0.5=6.5 but 78 is a negative and 12 is positive so 6.5 has to be negative. You can also just use a calculator.

B. Again, we could use long division to find how many times 5 goes into 155. The answer we got was that 5 goes into 155 exactly 31 times. This time, we didn't get a remainder but we have to watch out for the negatives. 155 and 5 are both negative, which means that the negative gets canceled out so our answer will be positive 31.

C. Lastly, we used long division to find out how many times 4 goes into 100. The answer that we got was 25 and we did not get a remainder but one of the numbers, 4, is a negative and when only one number is negative, the answer will also be negative. The final answer is negative 25.

Also, if you are wondering how long division works, I provided an example that shows all the steps.

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Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

Simplify

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Divide both sides by -10

x=3

Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

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Step-by-step explanation:

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