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Suppose you have entered 115-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is

Maksim231197 [3]

Answer:

The distance of the run was 27 miles and the distance of the bicycle race was 88 miles.

Step-by-step explanation:

Since I have entered 115-mile biathlon that consists of a run and a bicycle race, and during my run, my average velocity is 9 miles per hour, and during my bicycle race, my average velocity is 22 miles per hour , and I finish the race in 7 hours, to determine what is the distance of the run and what is the distance of the bicycle race, the following calculations must be performed:

7 x 22 + 0 x 9 = 154

5 x 22 + 2 x 9 = 128

4 x 22 + 3 x 9 = 115

Therefore, the distance of the run was 27 miles and the distance of the bicycle race was 88 miles.

3 0

3 years ago

Simplify the expression 4x-3(x+5)

elena-14-01-66 [18.8K]

Order of operations rules (PEMDAS) reguire that we mult. here before adding or subtracting:

4x-3(x+5) = 4x - 3x -15

Then we have x - 15 (answer)

3 0

3 years ago

Read 2 more answers

For the given system of equations, identify the type of system, a system of equations with the same solution, and the estimated

zysi [14]

Answer:

Part 1)

-31x - 19y=95

-14x + 19 y = 76

The solution is the point (-3.8,1.2)

The system is consistent independent

Part 2)

31x - 19y=95

14x + 19y = 76

The solution is the point (3.8,1.2)

The system is consistent independent

Part 3)

31x + 19y = 95

14x - 19y = 76

The solution is the point (3.8,-1.2)

The system is consistent independent

Step-by-step explanation:

Part 1) we have

-31x-19y=95 -----> equation A

-14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

-31x-14x=95+76

-45x=171

x=-3.8

Find the value of y

-14(-3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (-3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 2) we have

31x-19y=95 -----> equation A

14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 3) we have

31x+19y=95 -----> equation A

14x-19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)-19y=76

-19y=76-53.2

y=-22.8/19=-1.2

The solution is the point (3.8,-1.2)

The system has only one solution

therefore

The system is consistent independent

8 0

3 years ago

an elecronic picture frame is on sale for $80.75 . if this price represents a 15% discount fron the original price, what is the

shepuryov [24]

12.1125 to the nearest cent is 12.11

5 0

3 years ago

Read 2 more answers

Ramon wants to balance his checkings account.He has $2,340 in the account.He writes a check for$140.He deposits a check for $260

artcher [175]

Answer:

$2,460

Step-by-step explanation:

2,340 - 140 = 2,200

2,200 + 260 = 2,460

Ramon has $2,460 dollars left in his bank account.

7 0

3 years ago