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grin007 [14]
3 years ago
10

Flying against the wind, a jet travels 4400mi in 8 hours. Flying with the wind, the same jet travels 5820mi in 6 hours. What is

the rate of the jet in still air and what is the rate of the wind?
Mathematics
1 answer:
Anna [14]3 years ago
5 0
<span>distance=6390km; time=9 hrs; rate=710kph
With the wind Data:
distance=5150km; time=5hrs; rate=1030kph
EQUATIONS:

airspeed+jetstream=1030
airspeed-jetstream=710
Subtract these equations to get:
2jetstream=320kph
jetstream=160mph </span>
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Please help i don't understand!
vaieri [72.5K]

Answer: 9. x=-3/2     10. x=2

                   x= 5/2           x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3     0=2x-5

x= -3/2       x= 5/2

Do the same for the other problem

7 0
2 years ago
Factor completely 6x^2-7x-3
hichkok12 [17]
x =   \frac{-(-7) +/-  \sqrt{(-7)^{2}-4(6)(-3) }  }{2(6)}
\frac{7 +/- 11}{12}
x = 3/2 or -1/3


6 0
3 years ago
Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
SSSSS [86.1K]

Answer:

Pr = 0.50

Step-by-step explanation:

Given

n = 30

H = 21

T = 9

See attachment for complete question

Required

P(H)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

S =\{H,T\} --- sample space

n(S) = 2 --- sample size

n(H) = 1 --- occurrence of Head

So, the theoretical probability is:

Pr = n(H)/n(S)

Pr = 1/2

Pr = 0.50

8 0
3 years ago
The area of Terry's room at the old house was 96 ft.2. The area of Terry's room at the new house is 108 ft.2
Finger [1]

Answer:

12.5%

Step-by-step explanation:

First we need to calculate the change in the area of Terry's room this is

108 ft2 - 96 ft2 = 12 ft2

Then we use a direct proportion in order to find the percentage

96 ft2 ----- 100%

12 ft2 ----- p?

Solvin for p we have that

p=\frac{12\times 100}{96}

p=12.5

3 0
3 years ago
Read 2 more answers
What is the value of r?<br> 3/5 ( r - 7 ) = 1
gulaghasi [49]
R = 26/ 3 im pretty sure
4 0
3 years ago
Read 2 more answers
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