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Juliette [100K]
3 years ago
13

at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same d

istance in 4 hours. what is the speed of the plane with no wind?
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
<span><span>Let x be the maximum speed of the plane and y be the speed of the wind

***Note: D = r*t or r = D/t***

x +y = 525mph |2100mi/4hr = 525mph

x -y = 350mph |2100mi/6hr = 350mph

2x = 875

x = 437.5mph, speed of plane. Wind speed is 87.5 </span><span>
</span></span>
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The graph shows the pizza orders taken at a pizza shop during lunchtime one day.
miv72 [106K]
B cause it's true if you look at the graph
6 0
3 years ago
During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
AnnyKZ [126]

The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

 

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

 

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

 

The complete equation is:

y = 25x + 225

 

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

5 0
3 years ago
An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H
9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0
3 years ago
What is 70 as a percentage?
aleksandrvk [35]
It’s literally just 70%
8 0
3 years ago
Read 2 more answers
8.798 round it to the nearest hundredth
FinnZ [79.3K]

Answer:

8.80

Step-by-step explanation:

When rounding up and you are stuck with nine

You can't say 8.710

Your simply add one to the number before it

8.80 that your answer

7 0
3 years ago
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