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GrogVix [38]
3 years ago
12

A sporting goods store sells right-handed baseball gloves and left handed baseball gloves. In 1 month 12 gloves were sold for a

total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How many of each type of gloves did they sell?
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
X = number of right-handed gloves
12 - x = number of left-handed gloves

45x + 52 (12 - x) = 561
distribute
45x + 624 - 52x = 561
combine like terms
-7x + 624 = 561
subtract 624 from both sides
-7x = -63
divide both sides by -7
x = 9 (amount of right handed gloves)

12 - 9 = 3 (amount of left handed gloves)
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Answer:

x> 5/4

Step-by-step explanation:

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9<4x+4

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4x+4>9

Step 3: Subtract 4 from both sides.

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Step 4: Divide both sides by 4.

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Here's our equation.

h=-16t+64t+3

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To find this out, we can plug in 0 and solve for t.

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= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


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4 0
3 years ago
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