MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

y = 2x + 1.

Step-by-step explanation:

The line j is y = 2x - 8. Comparing this with the standard form of a straight line y = mx + c we see that m (the slope) = 2.

The line k is parallel to j so it has the same slope.

Using the point-slope for of a straight line we can ow find the equation of the line k.

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line, so

y - (-9) = 2(x - (-5))

y + 9 = 2(x + 5)

y + 9 = 2x + 10

y = 2x + 1 (answer).

HIGH SCHOOL

What is the fully factored form of 32a3+12a2

Hello!

I believe it would be 4a(8+3)6

By finding the GCF, 4a, we factor what it can go into. The other factors, 3 and 2, are multiplied and put at the end.

Hope this helps!

I believe it would be 4a(8+3)6

By finding the GCF, 4a, we factor what it can go into. The other factors, 3 and 2, are multiplied and put at the end.

Hope this helps!

COLLEGE

A hybrid car can travel 45 miles on 1 gallon of gas. Determine the amount of gas needed for a 500 mile trip

12 gallons is needed for a 500 mile trip.

MIDDLE SCHOOL

A number has an absolute value equal to 20 what is the number ?

Answer:

20 and - 20 has an absolute value of 20

Step-by-step explanation:

Let's recall that the term "Absolute value" describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is always positive and never negative.

Upon saying that, in this case, 20 and - 20 has an absolute value of 20.

MIDDLE SCHOOL

A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction price. The salesperson received a commission of 25% of the difference between the auction price and the dealership price. What was the salesperson’s commission?

Given situation:

=> A deadler paid $10 000 for a boat at an auction.

=> At the dealership, a sales person sold the boat for 30% more than the auction price

=> 10 000 dollars + 30%

=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price

=> 10 000 + 25%

Let’s find the solution

=> 10 000 x .30 = 3000

=> 10 000 + 3 000 = 13 000, he sell it for this price

=> then he received a commission

=> 13 000 – 3 000 = 10 000

=> 10 000 x .25

=> 2500 , his commission

=> A deadler paid $10 000 for a boat at an auction.

=> At the dealership, a sales person sold the boat for 30% more than the auction price

=> 10 000 dollars + 30%

=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price

=> 10 000 + 25%

Let’s find the solution

=> 10 000 x .30 = 3000

=> 10 000 + 3 000 = 13 000, he sell it for this price

=> then he received a commission

=> 13 000 – 3 000 = 10 000

=> 10 000 x .25

=> 2500 , his commission

The difference between the auction price and dealership price is:

0.30*10000 = $3,000

25% of $3,000 is 0.25*3,000 = $750

The salesperson's commission was $750.

MIDDLE SCHOOL

Solve the equation

A+b - c =180 for C

A = 180

b = 180

c = 180

180+180-180 = 180

b = 180

c = 180

180+180-180 = 180

MIDDLE SCHOOL

What is the Greatest Common Factor of 32 and 52?

It is 4, 1, and by its self like 32 and 52.

MIDDLE SCHOOL

Keri walks her dog every morning the length of the walk is 0.55 kilometer on each weekday.on each weekend day the walk is 1.4 times as long as a walk on a weekday how many kilometers does keri walk in one week?

.55km x 5 days = 2.75km

.55km x 1.4 = .77km x 2 = 1.54km

2.75km + 1.54km = 4.29km in one week.

.55km x 1.4 = .77km x 2 = 1.54km

2.75km + 1.54km = 4.29km in one week.

0.55 * 1.4= 0.77 0.77*2=1.54 0.55*5=2.75 add 1.54+2.75=4.29 kilometers per week

MIDDLE SCHOOL

Nat sews a triangle on an apron. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best represents the triangle That sews on her apron

Answer:

Is a scalene right triangle

Step-by-step explanation:

Classify the triangle

By the interior angles

Applying the Pythagoras Theorem

substitute the values

------> is true

therefore

Is a right triangle

By the length sides

The triangle has three unequal sides

therefore

Is a scalene triangle

MIDDLE SCHOOL

60,812 what is the expanded form

60=60+0,812=800+10+2

Hope this helps!

Hope this helps!

60=60+0,812=800+10+2