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Paha777 [63]
2 years ago
12

rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls. Because

Rob is a full time student he can work no more than 12 hours per week. however he must make $60 per week. write a system of inequalitites
Mathematics
2 answers:
Katena32 [7]2 years ago
5 0
Let x be the number of hours exercising horses.
Let y be the number of hours cleaning stalls.

x + y <= 12
5x + 10y >= 60
x + 2y >= 12

At this point you might do well to graph this set of equations on Wolframalpha.com

In the meantime solve this system this way.

12 - x > y > 6 - x/2
When y =0 the x = 12.
tamaranim1 [39]2 years ago
3 0

Answer:  5x + 10y ≥ 60 ⇒ x+2y ≥ 12          .................. (i)  

                x + y ≤ 12                                     ................. (ii)  

Step-by-step explanation:

    Let the hours spent on exercising horse be x

    Let the hours spent on cleaning stalls be y

According to question:

Rob can't work more than 12 hours. So eq. (i) will be x + y ≤ 12

Rob earns $5 an hour by exercising horses and $10 an hour cleaning stalls and he must make $60 . So eq. (ii) will be 5x + 10y ≥ 60.

Dividing eq. (ii) by 5, it will become x + 2y ≥ 12.

∴ system of inequalities are x + y ≤ 12 and x + 2y ≥ 12.

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Alexxx [7]
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
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now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
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8 0
2 years ago
Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin a
oee [108]

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Also possible, but only if someone scoops exact amounts (maybe pre-packaged for people who don't want to do their own scooping.): On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).

Step-by-step explanation:

The line beginning at (0,0) ending at (2.5, 5)  represents all the prices for any amount that the customer scoops.  for example, $5 for 2 1/2 pounds or $1 for 1/2 pound or  $2 for 1 pound would all be represented in the graphed line.

The graphs with negative values don't make sense. You can't scoop negative pounds!

<em>Again, good descriptions but difficult to sort out. Are you able to hit [enter] or [return] between options, or attach a screenshot?</em>

6 0
2 years ago
the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig
bulgar [2K]
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The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.

Adding 5 units to the function f, translates the graph 5 units up.
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USPshnik [31]
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The answer would be:

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