MATHEMATICS
COLLEGE

y=85x+2

y=65x+2

y=56x+2

y=58x+2

Answer: The answer is y=56x+1.

MIDDLE SCHOOL

What do negative numbers have in common with positive numbers?

Well they both are numbers and they both are even or Odd and they both can reach over 100 or -100

MIDDLE SCHOOL

Consider the rational expression. 6x+12x2+8x+12

Which statements are true?

Select each correct answer.

12 is a term in both the numerator and denominator.

x + 2 is a factor of the numerator.

2 is a common factor in the numerator and denominator.

The denominator has 3 terms.

Answer:

The options 1,2 and 4 are correct.

Step-by-step explanation:

The given rational expression

From the given expression it is noticed 12 is a term in both the numerator and denominator. Option 1 is correct.

The denominator has 3 terms. Option 4 is correct.

From the above expression it is clear that (x+2) is a factor of the numerator. Option 2 is correct.

Therefore options 1,2 and 4 are correct.

MIDDLE SCHOOL

A company makes concrete paving stones in different sizes. Each stone has a volume of 360 inches and a height of 3 inches. the stones have different lengths and widths. how many different paving stones each with different base and a volume of of 360 cubic inches?

**Answer:**

**The answer is 6.**

**Step-by-step explanation:**

Given is that the total volume is 360 cubic inches

The height is fixed at 3 inches

So, total area will be = square inches.

Let's assume the minimum size in any dimension to be 3 inches.

Now we have to find possible combinations of numbers greater than 2 that will make 120. So, we have

3 x 40

4 x 30

5 x 24

6 x 20

8 x 15

10 x 12

These have the same answer in reverse order as well. So we will consider these.

**Therefore, there are 6 different paving stones with different base.**

I got 6 but I'm not 100% sure if its right.

MIDDLE SCHOOL

ALGEBRA

5h+2(11-h)=-5

5h + 2(11-h) = -5

5h +2*11 +2*(-h) = -5

5h +22 -2h = -5

3h + 22 = -5

3h = -5 -22

3h = -27

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Therefore:

h=(-9), as 3 *(-9) = -27

5h +2*11 +2*(-h) = -5

5h +22 -2h = -5

3h + 22 = -5

3h = -5 -22

3h = -27

------

Therefore:

h=(-9), as 3 *(-9) = -27

5h+2(11−h)=−5

Simplify:

5h+2(11−h)=−5

5h+(2)(11)+(2)(−h)=−5(Distribute)

5h+22+−2h=−5

(5h+−2h)+(22)=−5(Combine Like Terms)

3h+22=−5

Subtract 22 from both sides.

3h+22−22=−5−22

3h=−27

Divide both sides by 3.

3h/3=−27/3

h=−9

Simplify:

5h+2(11−h)=−5

5h+(2)(11)+(2)(−h)=−5(Distribute)

5h+22+−2h=−5

(5h+−2h)+(22)=−5(Combine Like Terms)

3h+22=−5

Subtract 22 from both sides.

3h+22−22=−5−22

3h=−27

Divide both sides by 3.

3h/3=−27/3

h=−9