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WINSTONCH [101]
3 years ago
10

815 divide by 9 work

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
90.555555555555 repeating
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An airplane flew with the wind for 2.5 hours and returned the same distance against the wind in 3.5 hours. If the cruising speed
KengaRu [80]

Answer:

60 miles per hour.

Step-by-step explanation:

Let r represent speed of wind blowing in miles per hour.          

We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 360+r.

The speed of the plane is the opposite direction of wind would be 360-r.

\text{Distance}=\text{Speed}\times \text{Time}

Distance covered in the direction of wind would be 2.5(360+r).

Distance covered in the opposite direction of wind would be 3.5(360-r).

Since both distances are same, so we will get:

2.5(360+r)=3.5(360-r)

900+2.5r=1260-3.5r

900-900+2.5r+3.5r=1260-900-3.5r+3.5r

6r=360

\frac{6r}{6}=\frac{360}{6}

r=60

Therefore, the wind is blowing at a rate of 60 miles per hour.

6 0
3 years ago
A gardener plants two types of trees in a park:
slega [8]

Answer:

8 years

Step-by-step explanation:

Lets write an equation for Type A

The initial value is 5 ft  and the slope 12 inches

We need to have the same units, so lets change 5 ft to inches

5 ft * 12 inches / ft = 60 inches

y = mx+b

y = 12 x + 60

Lets write an equation for Type B

The initial value is 3 ft  and the slope 15 inches

We need to have the same units, so lets change 3 ft to inches

3 ft * 12 inches / ft = 36 inches

y = mx+b

y = 15 x + 36

We want to know when y is the same value.  We can set the equations equal.

12x + 60 = 15x+36

Subtract 12 x from each side

12x-12x+60 = 15x-12x +36

60 =3x+36

Subtract 36 from each side

60-36 = 3x+36-36

24 = 3x

Divide each side by 3

24/3 = 3x/3

8 =x

It will take 8 years for the trees to be the same height

7 0
3 years ago
The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.
Readme [11.4K]

Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

i.e

Number of Ways = ₄P₄ = 24

4 0
4 years ago
What is the range of the set of ordered pairs below? {(2, 3),(0, 6),(- 2, 9),(4, 0)}​
Nonamiya [84]

Answer:

{3,6,9,0}

Step-by-step explanation:

The range is the set of all second elements of ordered pairs (y-coordinates).

7 0
3 years ago
Function 1: y = 4x + 5
chubhunter [2.5K]
B. The formula for function 2 is y = 2x + 4
8 0
4 years ago
Read 2 more answers
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