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Viktor [21]
3 years ago
13

Bridget needs an actor actor is offering her services for initial $250 in addition to $40 per day actor beers offering her servi

ces for an initial $160 in addition to $50 per day when will the two actors change the same amount of money
Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:it will take 9 days for both actors to charge the same amount.

Step-by-step explanation:

Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.

Let y represent the cost of hiring actor A for x days.

Let z represent the cost of hiring actor B for x days.

Actor A is offering her services for initial $250 in addition to $40 per day. It means that

y = 250 + 40x

Actor B is offering her services for an initial $160 in addition to $50 per day. It means that

z = 160 + 50x

To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes

250 + 40x = 160 + 50x

50x - 40x = 250 - 160

10x = 90

x = 90/10 = 9

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What is the midpoint of (-5,6) (8,-6)
MAXImum [283]

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 0)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

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From the question the points are

(-5,6) (8,-6)

The midpoint is

M = ( \frac{ -  5 + 8}{2}  \:  , \:  \frac{6 - 6}{2} ) \\  = ( \frac{3}{2}  \: , \:  \frac{0}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 0)

Hope this helps you

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3 years ago
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3 years ago
Dan earns £8.30 per hour how much will he earn for 9 hours work
Nana76 [90]

Hey there!

\large\boxed{\$74.70}

The unit rate is 8.30 for every hour.

If he earns $8.30 an hour and works 9 hours, multiply 8.30 by 9.

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Hope this helps!

3 0
3 years ago
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The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

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Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

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-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

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y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0
4 years ago
At the beginning of Jack's diet, he was 257 pounds. If he lost 3 pounds per week, find his weight after
Cloud [144]

Answer:

A loss of weight means we subtract from Jack's current weight. 

Step-by-step explanation:

A loss of weight means we subtract from Jack's current weight. New Weight = Current Weight - Weight Loss per week * number of weeksNew Weight =257 - 3*12New Weight =257 - 36New Weight = 221

7 0
3 years ago
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