MATHEMATICS
HIGH SCHOOL

$13.56

B.

$13.24

C.

$12.39

D.

$13.69

Answer: To find 5% you have to multiply by 0.05

13.04 * 0.05 = 0.652

When you round it to the nearest cent you get 69 cents

so the answer is D) 13.69

13.04 * 0.05 = 0.652

When you round it to the nearest cent you get 69 cents

so the answer is D) 13.69

Answer: The answer would be D

MIDDLE SCHOOL

n stands for a whole number, 2n is greater than 30,5n is less than 100 what are all the numbers that n stands for

Answer:

{16, 17, 18, 19} are the numbers.

Step-by-step explanation:

If n stands for a whole number and 2n is greater than 30.

Means 2n > 30

⇒ n > 15

Now another statement says 5n is less than 100

Means 5n < 100

⇒ n < 20

So n defines the values

20 > n > 15

If n is a whole number then numbers between 15 and 20 will be

{16, 17, 18, 19}. This set will not include 15 and 20 since n is not equal to these numbers.

16, 17, 18, 19, 20

If the n was equal to or greater than 30 you would have 15 as well but because the problem just says greater than don't include it.

If the n was equal to or greater than 30 you would have 15 as well but because the problem just says greater than don't include it.

MIDDLE SCHOOL

What are two equivalent fractions for 8/12 ?

The two equivalent fractions to 8/12 are 16/24 and 24/46

How to find equivalent fractionFraction consist of numerator and denominator:

- Numerator: This is the upper value of a fraction
- Denominator: This is the bottom value of a fraction

You can find equivalent fraction by using the multiples of the numerator and denominator

8/12 = 16/24 = 24/36

Learn more about equivalent fraction:

brainly.com/question/5243429

4/6 (12 divided by 2= 6; 8 divided by 2=4)

16/24 (8 times 2= 16; 12 times 2= 24)

16/24 (8 times 2= 16; 12 times 2= 24)

MIDDLE SCHOOL

Can you draw a trapoziod with three right angels

Yes. A trapezoid is defined as a quadrilateral with two sides parallel, so a trapezoid with three right angles is just a square!

HIGH SCHOOL

Two planes are orthogonal if their normal vectors are orthogonal. Find the equation of a plane that is orthogonal to the plane 3x − y + 2z = 1 and that contains the points (1, 1, 2) and (2, 2, 1).

Answer:

X-5Y-4Z+12=0

Step-by-step explanation:

Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,

V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.

V2 =V1.X,AB =; (aplying sarrus method)

according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)

V2=(-1,5,4) ; A=(1,1,2); so -(X-1)+5(Y-1)+4(z-2)=0 → -X+1+5Y-5+4Z-8=0 →

-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0