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Misha Larkins [42]
2 years ago
9

A jet departs from an airport flying east. At the same time, a second jet departs from the same airport flying west at a speed o

f 20 miles per hour slower than the first jet. After 1.5 hours, the planes are 1,500 miles apart. What is the speed in miles per hour of the jet traveling east?
A. 300

B. 750

C. 510

D. 490

Mathematics
2 answers:
lawyer [7]2 years ago
8 0

Answer:

490mph and 510mph

Step-by-step explanation:

Let x mph and x+20 mph be the speeds of the planes. The rate at which their distance from each other increases will be the sum of their speeds which is 2x+20 mph.

Their distance from each other after three hours is ( 1.5 hours)*(2x+20 mph) = 3x+30 miles. We are given that this is 1500 miles so we can solve for x.

3x+30 = 1500

3x = 1500 - 30

3x = 1470

x = 1470/3

x = 490mph

For the second jet :

x +20 = 490+20

x = 510

Thus the speeds of the two planes are 490 mph and 510mph.

NikAS [45]2 years ago
6 0

Answer:

510 miles

Step-by-step explanation:

Please kindly check the attached file for explanation.

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x = 100 is equivalent to z = -1.75

Step-by-step explanation:

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A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made
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Find the total amount in the compound interest account.
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3 0
3 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
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The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
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36.00x0.07 show explanation
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Answer: 2.52

Step-by-step explanation: 36.00x0.07

36.00 is the same as 36

so, 36x0.07=2.52

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