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stira [4]
1 year ago
7

A pilot travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if t

he pilots speed in still air is 235 miles per hour The speed of wind is ?

Mathematics
1 answer:
Anna71 [15]1 year ago
4 0

Let x be speed of wind.

Speed of plane with the wind = 235 + x

Speed of plane against the wind = 235 - x

use the formula,

Distance = (Rate)(Time),

thus,

Time=\frac{Distance}{Rate}

Time to go 450 miles with wind = time to go 396 miles with wind

\begin{gathered} \frac{450}{235+x}=\frac{396}{235-x} \\ 450(235-x)=396(235+x) \\ 105750-450x=93060+396x \\ 105750-93060=396x+450x \\ 12690=846x \\ x=15 \end{gathered}

The speed of the wind is 15 mph.

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Put these numbers in order from least to greatest. 0.57 5.07 50.7 57 75 ​
nordsb [41]

Answer:

It's basically already in order: 0.57, 5.07, 50.7, 57, 75

Step-by-step explanation:

Hope it helps!      :3

Plz mark as brainliest!

5 0
3 years ago
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You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the
const2013 [10]

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) =  $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22)  [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

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Hence, the price of your meal before you applied the tip = $34.

7 0
3 years ago
(-7) x (-7)to the 11th power
masha68 [24]

Answer:

(-7)×(-7)=+49

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5 0
2 years ago
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The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil
Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x            y

days      packs of printer paper used

0            0               (0 days , 0 packs used)

80          140           (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0)  and (80,140)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

y= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{7}{4} x

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper  the manager expect to have after 30 days, Plug in 30 for x  and find out y

y= \frac{7}{4} x

y= \frac{7}{4}(30)= 52.5

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5


8 0
3 years ago
How many centermiter are foot
Ivahew [28]
30.48cm=1ft.
Hop this help's! :)
4 0
3 years ago
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