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nikitadnepr [17]
3 years ago
12

Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the oth

er. If after 4 hours they are 1800 km apart, find the speed of each plane.
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.

Step-by-step explanation:

Two planes:

The first one's speed is x

The second is y.

One plane is flying at twice the speed of the other.

I will say that y = 2x.

Two airplanes leave an airport at the same time, flying in the same direction

Same direction, so their relative speed is the subtraction of their speeds. 2x - x = x.

Means that after 1 hour, they will be x miles apart.

If after 4 hours they are 1800 km apart, find the speed of each plane

After 1 hour, x km apart. After 4, 1800. So

1 hour - x km apart

4 hours - 1800 km apart

4x = 1800

x = 1800/4

x = 450

2x = 2*450 = 900

The slower plane has a speed of 450 km/h and the faster one has a speed of 900 km/h.

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If 3x + 4y = 10 and 2x + 3y = 6, then x + y = ?
zavuch27 [327]

Answer:

x + y = 4

Step-by-step explanation:

Given the 2 equations

3x + 4y = 10 → (1)

2x + 3y = 6 → (2)

Subtract (2) from (1) term by term on both sides

x + y = 4

5 0
3 years ago
Which equation is true?
amm1812
D is the answer
(4+8)+1 = 13
4+(8+1) = 13
Therefore equation D is true
4 0
3 years ago
PLEASE HELP!!!!!!
quester [9]

B

First you have to change 2 1/2 into 5/2

To multiply fractions use the method
Keep Change Flip

5/2 x 3/1 =15/2

Which simplifies to 7 1/2
6 0
3 years ago
Read 2 more answers
#9 i need help it would really be appreciated
son4ous [18]
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.

40 ÷ 5 = 8

It makes 8 copies every minute. 

Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13. 

8 • 12 = 96
8 • 13 = 104

Since those answers match up with the chart, it must be correct.

The photocopier makes 8 copies every minute. Hope that helps!


4 0
3 years ago
Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded
ozzi

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

A =P (1 + r/n)^nt

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

A = $1,014.05

8 0
3 years ago
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