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bija089 [108]
3 years ago
15

Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The

speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

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Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of
kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒56.75 +x - (13.25+5)=87.37

⇒56.75 +x - 18.25=87.37

⇒38.5 +x =87.37

⇒x =87.37-38.5

⇒x =48.87

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.

6 0
3 years ago
Read 2 more answers
Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Katena32 [7]

Given :-

  • y varies directly as x, and y=14 when x=4.

To Find :-

  • the value of y when x=9 .

Solution :-

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>

  • y = kx ( k is constant )

<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>

  • 14 = k(4)
  • k = 14/4
  • k = 7/2

<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>

  • y = 7/2*9
  • y = 63/2
  • y = 31.5
8 0
3 years ago
Which one?????? i need help
borishaifa [10]
<h3>Given</h3>

x + 2 ≥ 6

<h3>Find</h3>

the graph for the solution

<h3>Solution</h3>

We can solve for x by subtacting 2 from both sides of the inequality.

... x + 2 -2 ≥ 6 -2

... x ≥ 4 . . . . . . . . . . simplify

The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are <em>not included</em>. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).

The appropriate choice is the 3rd one.

5 0
3 years ago
Find the greatest common factor of each set of numbers 27,36,72
7nadin3 [17]
The answer is to the question is 9
6 0
4 years ago
Read 2 more answers
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Degger [83]

Answer:

2 degrees and 178 degrees.

Step-by-step explanation:

So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.

180 = x + 89x

We now have to group the x's together:

180 = 90x

Now in order to determine x, we have to divide by 90 on both sides.

X= 2

So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.

4 0
4 years ago
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