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Rus_ich [418]
3 years ago
12

There is 2 questions both need work shown

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

1.) 46.66 (MANY SIXES)  2.) 4180.5

Step-by-step explanation:

WELL. Its easy, you just need to divide the work.

1) 13.82 /0.3  

=46.066667


2.) 863.1/0.2

=4180.5


Hope this helps ;)

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A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind
Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

4 0
3 years ago
Population Growth Using 20th-century U.S. census data,
asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

5 0
3 years ago
Grant needs 2/3 cup of raisins and 3/4 cup of almonds to make trail mix, which statement can be used to find out if their are mo
deff fn [24]
To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa. 

<span>3*4 = denominator of both
</span><span>2*4 = numerator of first fraction
</span><span>3*3 = numerator of second fraction
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Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions. 

<span>Overall, there are 1/12 more almonds than raisins.</span>
8 0
4 years ago
Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on to
ElenaW [278]

The total amount of money Ethan made in a week including commission is $812.5

<h3>Total income</h3>

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Total earnings = Base salary + Amount of commission earned

= $500 + $312.5

= $812.5

Learn more about income:

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Figure out the costs of buying the two cars listed below by filling in the blanks in the table
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Make/Model: 
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$28,760

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<span>Total cost: </span>
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