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adelina 88 [10]
3 years ago
7

an aircraft flew 5 hours with the wind. the return trip took 6 hours against the wind. if the speed of the plane in still air is

220 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air​
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

w = 37.846 mph (wind rate)
plane speed in still air: 492 mph
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PlEaSe HeLp!! 50 pts
Oksana_A [137]

Answer:

Step-by-step explanation:

1.) Given the equation 2x + 3y = 1470, to write the equation in the slope intercept form, we make y the subject of the formula.

3y = -2x + 1470

where: -2/3 is the slope and 490 is the y-intercept.

2.) To graph this equation using the slope intercept form,

i.) we plot the y-intercept point. (i.e. point (0, 490)).

ii.) we use the slope to find a second point (preferably a point on the x-axis). The slope is negative means that the line ill slope downwards from left to right. To find the point at which the line crosses the x-axis, we recall that the slope of a line is given by

i.e.

Thus, the line passes through the points, (0, 490) and (735, 0).

3.) We write the equation with a function notation as follows

The graph of the function above represents the number of wrap lunch specials sold for every given number of sandwich lunch specials sold.

4.) The graph of the function is attached. In the graph the vertical axis is the y-axis while the horizontal axis is the x-axis.

5.) Given that Sal's total profit on lunch specials for the next month is $1,593 and that the profit amounts are $2 for each sandwich and $3 for each wrap.

The gaph of the function representing the new situation is similar to the graph of the previous situation because both graphs have the same slope and a parallel to each other.

They have different y-intercept with the y-intercept of the later situation being (0, 531). Thus the graph of the later situation is above the graph of the previous situation.

6.) In the given graph the y-intercept is (0, 300) and the x-axis is (450, 0). Recall that the equation of a line with two of the point through which the line passes known is given by

Therefore, the equation of the given graph is given by

8 0
3 years ago
Goran is on his way home in his car. He has driven 12 miles so far, which is two-thirds of the way home. What is the total lengt
Vinil7 [7]

Answer:

2/3 = 12

12/2 = 1/3

1/3 = 6

3/3 = 3x6

Whole drive = 18miles

Hopefully this helps

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2 years ago
What is 27% of 81 using the Decimals strategy?
NemiM [27]

27%=(27/100)=0.27


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Hope this helps!!

4 0
3 years ago
Read 2 more answers
Expand. Your answer should be a polynomial in standard form. (b^2+5)(−b^2+7)=
Blizzard [7]

(b^2+5)(−b^2+7)

Use the FOIL METHOD to expand.

-b^4 + 7b^2 - 5b^2 + 35

-b^4 + 2b^2 + 35

Did you follow?

6 0
3 years ago
Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part
katen-ka-za [31]

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

(26)x = 1

(50)x = 1

and:

(2^6)^x = 1

(5^0)^x = 1

Solving: (26)x = 1  and  (50)x = 1

(26)x = 1

Divide both sides by 26

x = \frac{1}{26}

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Divide both sides by 50

x = \frac{1}{50}

Solving (2^6)^x = 1 and (5^0)^x = 1

(2^6)^x = 1

Express 1 as 2^0

(2^6)^x = 2^0

Remove bracket

2^{6x} = 2^0

Cancel out 2

6x = 0

Divide both sides by 6

x = \frac{0}{6}

x = 0

(5^0)^x = 1

Express 1 as 5^0

(5^0)^x = 5^0

Cancel out 5^0

x = 1

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3 years ago
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