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Svetlanka [38]
3 years ago
7

Which letter has at least one line of symmetry? R Q T P

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0
T has at least one line of symmetry because if you cut it out, you can fold it in half evenly
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What are the coordinates of the point that is 9 units to the left of (5, -8)?​
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(-4,-8)

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An apple farmer is deciding how to use each day’s harvest. She can use the harvest to produce apple cider or apple juice for the
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Answer:

A)

There are 18 bushels of apples.

1 bushel of apples will make 20 quarts of apple cider.  

1 bushel of apples will make 15 quarts of apple juice.

x = number of bushels to make cider out of.

y = number of bushels to make juice out of.

B)

As there are 18 bushels

x + y = 18

The apple farmer needs to produce a total of 330 quarts.

1 bushel of apples will make 20 quarts of apple cider.  

1 bushel of apples will make 15 quarts of apple juice.

20x + 15y = 330

C)  

x + y = 18. Thus we can express y in terms of x:

y = 18 - x

We can substitute the y in 20x + 15y = 330 and solve for x:

20x + 15 (18 - x) = 330

20x + 270 - 15x = 330

5x = 60

x = 12

And as y = 18 - x

y = 18 - 12  

y = 6

[ C_1 ]: We could have done the same with x, expressing x in terms of y:

x = 18 - y, substitute the x in 20x + 15y = 330 and solve for y:

20 (18 - y) + 15y = 330

360 - 20y + 15y = 330

-5y = -30

y = 6

And as x = 18 - y

x = 18 - 6

x = 12

D)

As we had defined in A)  

x = number of bushels to make cider out of

y = number of bushels to make juice out of,

there will 12 bushels of apples be processed into cider and

there will 6 bushels of apples be processed into juice

in order to produce

20 quarts of cider per bushel * 12 bushels = 240 quarts of cider, and

15 quarts of juice per bushel * 6 bushels = 90 quarts of juice,

which sum up to a total of

240 + 90 = 330 quarts of apple beverages, as required.

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3 years ago
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