MATHEMATICS
HIGH SCHOOL

Answer: P = 2(A - 6)

P + A = 18

sub eq 1 into eq 2

2(A - 6) + A = 18

2A - 12 + A = 18

3A - 12 = 18

3A = 18 + 12

3A = 30

A = 30/3

A = 10

P + A = 18

sub eq 1 into eq 2

2(A - 6) + A = 18

2A - 12 + A = 18

3A - 12 = 18

3A = 18 + 12

3A = 30

A = 30/3

A = 10

MIDDLE SCHOOL

In a bike race: Julie came in ahead of Roger. Julie finished after James. David beat James but finished after Sarah. In what place did David finish?

write it out in the order they give

Julie , Roger

James , Julie, Roger

David, James, Julie, Roger

Sarah, David, James, Julie, Roger

David is in 2nd place

David finishes at second place

What is a sequence ?A sequence is a list of items or numbers or people that are following certain order.

It is given in the question that

In a bike race: Julie came in ahead of Roger

Julie > Roger

Julie finished after James

James > Julie

David beat James

David >James

but finished after Sarah

Sarah > David

The sequence is

Sarah > David>James> Julie>Roger

Therefore David finishes at second place

To know more about Sequence

brainly.com/question/21961097

#SPJ5

MIDDLE SCHOOL

How many sides would a regular polygon need to have in order for each exterior angle to measure 8 degrees

Answer:

45 sides

Step-by-step explanation:

No matter, how many sides a regular polygon has, the total sum of all the exterior angles is ALWAYS 360°. We can find "each exterior angle" by using the formula shown below:

Where

n is the number of sides

Now, we know "Each exterior angle" = 8°, so we substitute and find "n", the number of sides:

So, the polygon would have 45 sides.

MIDDLE SCHOOL

the formula for the area of a rhombus is A = 1/2d1d2 where d1 and d2 are the lengths of the diagonal. solve the formula for d1

A = 1/2 d1 d2

divide both sides of the formula by 1/2 d2:-

A / (1/2 d2) = d1 now, using 1 / 1/2 = 2 we have:-

d1 = 2A / d2 answer

Didn't you mean A = (1/2)d1d2 ?

If so, clear out the fraction by mult. both sides of the eqn by 2:

2A = d1*d2

Now isolate d1 by div. both sides of this result by d2:

2A

------ = d1 (answer)

d2

COLLEGE

About 22/40 of a lawn is planted with Kentucky bluegrass. What percent of the lawn is planted with Kentucky bluegrass

Well, 20 over 40 is half, so we already know that it must be more than 50% because it is 22 over 40, so 55% of the lawn is planted with Kentucky blue grass. I hope that helps! :D

MIDDLE SCHOOL

What number does ▲ stand for in this equation?

6 × 3 = (▲ × 5) – (▲ × 2)

THE TRIANGLE EQUALS 6....................

For the sake of this problem I will cal the triangle x and the times sign will be *

6*3=(x*5)-(x*2)

18=5x-2x

18=3x

6=x

Hope this helps :)

6*3=(x*5)-(x*2)

18=5x-2x

18=3x

6=x

Hope this helps :)

HIGH SCHOOL

The average radius of Jupiter is 4.34 x 10^4 miles. The average sun radius of the sun is 4.32 x 10^5. How many times greater is the average radius of the sun?

Answer:

The average radius of sun is approximately 9.95 times the average radius of Jupiter.

Step-by-step explanation:

We are given the following in the question:

Average radius of Jupiter =

Average radius of the sun =

Relation between average radius of sun and average radius of Jupiter =

Thus, the average radius of sun is approximately 9.95 times the average radius of Jupiter.

MIDDLE SCHOOL

Suppose 3 quarts of a solution that is 22% antifreeze is mixed with 2 quarts of a solution that is 85% antifreeze. (a) How many quarts of antifreeze are in the resulting mixture?

(b) What percentage of the resulting mixture is antifreeze?

a) 5 quarts of antifreeze are in resulting mixture

b) percentage of the resulting mixture is antifreeze is 47.2 %

Solution:

Given that,

3 quarts of a solution that is 22% antifreeze is mixed with 2 quarts of a solution that is 85% antifreeze

The total volume of the resulting mixture iS 3 + 2 = 5 quarts

Therefore,

3 quarts of a solution that is 22% antifreeze is mixed with 2 quarts of a solution that is 85% antifreeze to get a resulting mixture of 5 quarts that is x % antifreeze

Thus we get,

Thus percentage of the resulting mixture is antifreeze is 47.2 %

MIDDLE SCHOOL

The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?

24.35 C

just subtract 32.6 - 8.25

just subtract 32.6 - 8.25

Answer:

24.35 C

Step-by-step explanation:

MIDDLE SCHOOL

Something divided by 4= 9

Well, let's see:

You said that (something) / 4 = 9

Multiply each side by 4 : something = 36 .

X / 4 = 9

Multiply both sides by 4

x/4 * 4 = 9 * 4

x = 9 * 4

x = 36

36 divided by 4 = 9

Multiply both sides by 4

x/4 * 4 = 9 * 4

x = 9 * 4

x = 36

36 divided by 4 = 9