MATHEMATICS MIDDLE SCHOOL

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Answers

Answer 1

Answer:

Answer:

$(7x + 7)/((x-3)(x+4))$

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

$(3)/(x+4) + (4)/(x-3)\n\n(3(x-3))/((x+4)(x-3)) + (4(x+4))/((x-3)(x+4))$

$(3(x-3))/((x+4)(x-3)) + (4(x+4))/((x-3)(x+4)) \n\n(3(x-3) + 4(x+4))/((x-3)(x+4))\n\n(3x - 9 + 4x + 16)/((x-3)(x+4))\n\n(7x + 7)/((x-3)(x+4))$

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.

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How much larger is 400 than 40?

Answers

360

400 - 40 = 360

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$(400)/(40) = (40)/(4) \n 10 \ times \ larger$

If you mean how much larger, literally, 400-40=360

How do you calculate elapsed time?

Answers

First tell me what elapsed time is

You take the time the event eneded and subtract it from the time the event started. Say a concert starts at 9:30 and ends at 11:00, 11:00-9:30= 1:30 the total time elapsed is an hour and a half(1:30).

A granola recipe calls for 2 1/3 cup of almonds. A bag of almonds has 2 cups. To make 2 1/2 batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?

Answers

u need 2 and 1/3 cups to make 1 batch of granola bars and 1/2 of that is 1 and 1/6 cups of almonds. 10-1 and 1/6 is 8 and 5/6

I think it will be 5 1/3 cups

What shape is the area of the triangle formula derived from?

Answers

The area formula can be derived from a triangle of any shape.

The formula is applicable to a triangle of any shape. No matter what is the shape of the triangle, the formula for the area of a triangle will always be:

Area $=(1)/(2)* base* height$

and this formula will give the area of any triangle, whether that be a triangle which has acute angles, or it can be a triangle that has an obtuse angle, or it can be a right angled triangle. The above mentioned formula is applicable in all the cases.

Please note that we can choose any side as the base and the height will be corresponding to the base chosen. The formula can be applied after the base and the height have been identified.

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

Answers

The perimeter of the pentagon is
35y⁴ – 65x³

We let s as the length of one side of the sandbox. Since the sandbox is a pentagon, it's perimeter is given by
P = 5s
5s = 35y⁴ – 65x³
Solving for s
5s = 5(7y⁴ - 13x³)
s = 7y⁴ - 13x³

The length of one side is 7y⁴ - 13x³.

Answer:

Step-by-step explanation:

Last week, Mrs. Grant purchased a 3 pound package of strawberries for $6.84. This week she paid $10.24 for a 4 pound of strawberries. What was the difference in the unit cost per pound that Mrs. Grant paid this week compared to last week?