All categories

3 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

4.3 (-2.6) as a decimal

attashe74 [19]

Answer:

-11.18

Step-by-step explanation:

3 0

3 years ago

Darcy uses place value blocks to show a number. She uses 4 thousand blocks and five hundereds blocks. What is the number? How ca

Maksim231197 [3]

Answer is 4,500. 4 1,000 blocks =4,000. 5x100 =500. 4,000 + 500 = 4,500.

4 0

3 years ago

The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of peo

Murrr4er [49]

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

4 0

3 years ago

What is the image of the point (-7,4) after a rotation of 180 counterclockwise about the origin?

777dan777 [17]

Answer:

(-7,-4)

Step-by-step explanation:

hope this helps bro

7 0

2 years ago

1 = 18, W= 10. h = 2

leonid [27]

Answer:

Step-by-step explanation:

yes ,great job lxwxh

6 0

3 years ago