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Reika [66]
3 years ago
7

Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot wo

rk more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?
Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

The first one/$9 an hour job.

Step-by-step explanation:

For every 32 hours he works at the $9 per hour job he makes $288.

On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.

So the only one that'll work where he gets at least $251 is the $9 an hour job.

<u>Hope this helps and have a nice day!</u>

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The sum of 2 numbers is 16, and the sum of their squares is 146. find the 2 numbers
sashaice [31]

Step-by-step explanation:

x + y = 16 (*)

x^2 + y^2 = 146 (**)

(*) <=> x= 16-y

substitute x = 16 - y

(**) <=> (16-y)^2 + y^2 = 146

<=> y^2 - 2.16.y + 16^2 + y^2 = 146

<=> 2y^2 - 32y + 110 = 0

<=> y^2 - 16y + 55 = 0

<=> (y-11)(y-5) = 0

<=> y=11 or y= 5

For y = 11, we have x= 16-11=5

For y=5, we have x= 16-5=11

Answer: (x,y) = (11,5) ; (5,11)

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3 years ago
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Answer:

true

Step-by-step explanation:

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 An art design is to contain two solid silver boxes shaped as cubes. One of boxes should have sides of 11 inches and the other
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3 years ago
Find all solutions to the equation in the interval [0, 2π). sin 2x - sin 4x = 0
Bas_tet [7]
Sin 2x - sin 4x = 0
sin 2x - 2sin 2x cos 2x = 0
sin x(1 - 2cos 2x) = 0
sin x = 0 or 1 - 2cos 2x = 0
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sin x = 0 or cos 2x = 1/2
x = arc sin 0 or 2x = arc cos (1/2)
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3 0
3 years ago
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photoshop1234 [79]

Answer:

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