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azamat
3 years ago
13

Item 20 A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles

per hour slower and has 6 miles left after x hours. a. What is the distance of the entire trip? miles b. How long does the entire trip take? hours minutes and seconds

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Answer:

A). 30 miles

B). 3 hours 0 minutes 0 seconds

Step-by-step explanation:

Let's assume that the distance is y and the time to be x

Speed= distance/time

If the bird traveled at a speed of 20mph,it will be

20 = y/x

Y = 20x______ equation 1

And on the Bird's return it took it flew at a speed 4 miles per hour slower and had 6 miles left to cover after x hours

20 - 4 = (y - 6)/x

16 = (y - 6) /x_____ equation 2

From equation 1 which is y = 20x,substitute into equation 2

16 = (20x - 6)/x

Cross multiply the above and we have

16x = 20x - 6

Collect like terms

20x - 16x = 6

4x = 6

X = 6/4

X = 3/2 or 1½ hours or 1 hour 30 minutes for the trip away from the nest

Substitute in equation 1 and we have

20x = y

20 × 1½ =y

Y = 60/2

Y = 30 miles is the distance from the nest to the birds destination prior to it's return

The entire trip took 3 hours since we have to calculate the "going and coming back" of the bird.

And the distance is 60 miles.

Digiron [165]3 years ago
5 0

Answer:

A) total distance covered = 60miles

B) total time taken = 4hrs 30 mins

Step-by-step explanation:

Detailed explanation and calculation is shown in the image below

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In a coordinate plane what is the difference between (-3 1/2, 4) and (2 1/2)?​
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Answer:

?

Step-by-step explanation:

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I hope that I helped. Sorry if it wasn't the answer you were looking for.

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3 years ago
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Goryan [66]
<h2>A = 0.625</h2>

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Each point has a value of 0.125.

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6 0
3 years ago
Read 2 more answers
PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
Mark currently works part-time with a salary of $8,000 per year. mark plans to quit working and attend college for 4 years. if h
BARSIC [14]
For the answer to the question above asking <span>how long will it take a mark to recover his investment assuming he has a salary of $32,000 upon graduating?

The answer is </span>Mark will lose:
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$96,000 : $32,000 = 3
Answer:
<span>It will take Mark 3 years to recover his investments. Poor Mark</span>
6 0
3 years ago
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