MATHEMATICS HIGH SCHOOL

What is the solution to the following expression:
(- 8/9) divide(- 2/3) x (-4 1/2)

Answers

Answer 1

Answer:

-8/27

Step-by-step explanation:

Kindly recall that - 4 1/2 can be written in the improper fraction as -9/2

Thus, -2/3 * -9/2 would be 18/6 = 3

Thus, we have -8/9 divided by 3 = -8/9 * 1/3 = -8/27

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Which products result in a perfect square trinomial? Check all that apply.A=(–x + 9)(–x – 9)
B=(xy + x)(xy + x)
C=(2x – 3)(–3 + 2x)
D=(16 – x2)(x2 – 16)
E=(4y2 + 25)(25 + 4y2)

Answers

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same. For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order. The same is true of (4y² + 25)(25 + 4y²).

Answer:

A and E and C

Step-by-step explanation:

A perfect square trinomial can be written as the square of a binomial.

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

Answer: $80

Step-by-step explanation:

Given: The simple interest generated after 5 years = $20

The rate of interest =5%

In decimal, the rate of interest (r)= 0.05

Let P be the principal amount, which Tahmar invested.

The given formula to find simple interest is

$I=Prt\n\n\Rightarrow P=(I)/(rt)\n\n\text{On substituting the given values, we have}\n\n\Rightarrow P=(20)/(0.05*5)\n\n\Rightarrow P=80$

Hence, the principal amount which he invested = $80

The answer is $80 for this question.

You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 years?

Answers

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

In the figure, m∠2 = (20x + 52)° and m∠7 = (40x – 48)°For what value of x is line m parallel to line n?
18

5

44

3

Answers

Answer:

The answer is 5

Step-by-step explanation:

I took the test :)

Answer 5

Step-by-step explanation:

If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase? By what percent does the perimeter of the rectangle increase?

Answers

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

Final answer:

When the length and width of a rectangle are increased by 10%, the area increases by 21% and the perimeter increases by 10%.

Explanation:

The area of a rectangle is calculated by the formula Length × Width. If both the length and width are increased by 10%, the new area would be 1.1(length) × 1.1(width), which is 1.21(length × width) or 121% of the original area. So the area increases by 21%. The perimeter of a rectangle is calculated by the formula 2(Length + Width). If both the length and width increase by 10%, the new perimeter would be 2(1.1 Length + 1.1 Width) = 2.2 Length + 2.2 Width, which is 110% or 1.1 times the original perimeter. So the perimeter increases by 10% when you increase the length and width by 10%.