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3 years ago

7

PLEASE HELP!!!!!!!!!!!!!!!!!!

1 answer:

Musya8 [376]3 years ago

6 0

9514 1404 393

Answer:

11 73/78 ≈ 11.9359 (not 14)

Step-by-step explanation:

The similarity statement tells us ...

QS/QR = FG/FH

QS = QR·FG/FH

13x -14 = 154(55/60) = 847/6

Adding 14 = 84/6, we have ...

13x = 931/6

x = 931/78 = 11 73/78 . . . . . . . divide by 13

__

<em>Comment on the question</em>

You get a nice integer answer for x if the similarity statement is written ...

∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order

Then you have ...

QS/QR = FH/FG

13x -14 = 154(60/55) = 168

13x = 182

x = 14

This nice answer to a nice similarity statement leads us to believe the question has an error in it.

We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question <em>as written</em>. You may want to discuss this with your teacher.

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

stepladder [879]

Answer:

$9$ right-handed gloves and $3$ left-handed gloves were sold.

Step-by-step explanation:

Given: In one month, $12$ gloves were sold for a total revenue of $\$561$ .

right-handed gloves cost $\$45$ and left-handed gloves cost $\$52$ .

To find: How much of each type of gloves did they sell?

Solution: Let they sell $x$ right-handed gloves, and $y$ left-handed gloves.

Now, cost of each right-handed gloves $=\$45$

cost of each left-handed gloves $=\$52$

Total revenue $=\$561$

So, we get

$45x+52y=561\:\:\:...(i)$

Also, in a month $12$ gloves were sold.

So, we get

$x+y=12\:\:\:...(ii)$

Now, from $(ii)$ we get, $x=12-y$ .

Putting $x=12-y$ in equation $(i)$ , we get

$45(12-y)+52y=561$

$\implies 540-45y+52y=561$

$\implies7y=561-540$

$\implies7y=21$

$\implies y=\frac{21}{7}$

$\implies y=3$

Now, putting $y=3$ in equation $(ii)$ , we get

$x+3=12$

$\implies x=12-3$

$\implies x=9$

Hence, $9$ right-handed gloves and $3$ left-handed gloves were sold.

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