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nirvana33 [79]
3 years ago
15

Two mechanics worked on a car. First mechanic worked 20 hours, and the second worked 5 hours. Together the charged $1800. What w

as the rate charge by each if the some of both rates was 135 per hour?
Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

Step-by-step explanation:

let one charge=x

second charge=135-x

20x+(135-x)5=1800

4 x+135-x=360

3x=360-135=225

x=75 $

first charges $ 75 for 20 hours

second charges =135-75=$60 for 5 hours.

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1/2x=8 as a mixed number show work​
olga nikolaevna [1]

Answer:

16

Step-by-step explanation:

1/2 x =8

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A plane decides to travel along AB towards the North with a velocity of V.
Maru [420]

Step-by-step explanation:

The wind has a speed of w and a direction α with the vertical.  The x component of that speed is w sin α.  The y component is -w cos α.

In order to stay on the north trajectory AB, the plane must have a horizontal speed of -w sin α.  The plane's speed is v, so using Pythagorean theorem, the y component of the plane's speed is:

v² = (-w sin α)² + vᵧ²

v² = w² sin²α + vᵧ²

vᵧ = √(v² − w² sin²α)

The total vertical speed is therefore √(v² − w² sin²α) − w cos α.

If a is the length of AB, then the time is:

t = a / [√(v² − w² sin²α) − w cos α]

To rationalize the denominator, we multiply by the conjugate.

t = a / [√(v² − w² sin²α) − w cos α] × [√(v² − w² sin²α) + w cos α] / [√(v² − w² sin²α) + w cos α]

t = a [√(v² − w² sin²α) + w cos α] / (v² − w² sin²α − w² cos²α)

t = a [√(v² − w² sin²α) + w cos α] / (v² − w²)

8 0
3 years ago
Graph the equation <br><br>2x + 3y = 9
jeka57 [31]

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Look at the graph picture I attached

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y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

8 0
2 years ago
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Brrunno [24]
Cos= 24/25

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MAXImum [283]

If the point P(x, y) partitions the segment AB in the ratio 1 : 1, then the point P is midpoint of segment AB.

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A(x_A;\ y_A),\ B(x_B,\ y_B)\\\\P_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)

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3 years ago
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