The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?

Answers

Answer 1
Answer: Choices: 30 units ; 20 units ; 15 units ;  7.5 units

Given:
perimeter = 30 units
scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.

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Who lives the closest to the park clark 1 3/4 miles, julio 2640 yards or jim 17160 feet

Answers

(1 yard= 3 feet, 1 mile= 5280 feet, 1 mile = 1760 yards.)
divide feet by 3 to get yards. divide by 5280 to change feet to miles. divide by 1760 to find yards.  

What is the solution of 3x + y = 9 and 3x − 5y = 15?

Answers

The answer is (10/3, -1)

A college graduate expects to earn a salary of $55,000 during the first year after graduation and receive a 4% raise every year after that. What is the total income he will have received after ten years?

Answers

4% of 55,000 is 2,400 multipy that by 10 and add it to 60,000 
(2,400 x 10= 24,000 )( 24,000+ 60,000=$ 84,000)

Mark is solving the following system.x+y+z=2 (1)
3x+2y+z=8 (2)
4x-y-7z=16 (3)

Step 1: He multiplies equation (1) by 7 and adds it to equation (3).
Step 2: He multiplies equation (3) by 2 and adds it to equation (2).

Which statement explains Mark’s mistake?
- He added equation (3) instead of equation (2) in step 1.
- He did not multiply equation (3) by the correct value.
- He did not eliminate the same variables in steps 1 and 2.
- He added equation (3) and equation (2) instead of subtracting.

Answers

Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.

He makes such steps:

1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:

7x+7y+7x+4x-y-7z=14+16,

11x+6y=30.

2. He multiplies equation (3)  4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:

8x-2y-14z+3x+2y+z=32+8,

11x-13z=40.

Thus, he did not eliminate the same variables in steps 1 and 2.

Answer: correct choice is C

I think its he didnt eliminate the same variables

What is the answer to multiplication example called

Answers

The answer is the product.
hi the answer is product.
Hope it helps.

A bicyclist travels at the rate of 8 miles in an hour. If the bicyclist continues at this rate, how many miles can the bicyclist travel in five hours?

Answers

they would 40 miles in 5 hours traveling at 8 miles an hour

The bicyclist traveled 40 miles in 8 hours so the answer is D) 40 miles it is correct i took the test