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Keith_Richards [23]
3 years ago
15

The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.

Mathematics
2 answers:
kompoz [17]3 years ago
6 0
3.22 divided by 14 is .23.   .23 plus .15 is .38 cents per candy at regular price.
dimulka [17.4K]3 years ago
5 0

For this case, the first thing we should do is define a variable.

We have then:

  • <em>x: regular price of each piece. </em>

The equation modeling the problem is given by:

14 (x-0.15) = 3.22

From here, we clear the value of x.

We have then:

x-0.15 = \frac {3.22} {14}\\x-0.15 = 0.23\\x = 0.23 0.15\\x = 0.38\$

Answer:

The regular price of each piece of candy is:

x = 0.38\$


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Answer:

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Step-by-step explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

Therefore, 3x + 8 = 5x - 12

☆Let's solve that equation.

3x  + 8 = 5x - 12 \\  \frac{ - 5x \:  \:  \:  \:  \:  \:  \:   =  - 5x  \:  \:   \:  \:   \: \:  \:  \: }{ - 2x + 8 =  - 12}  \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \: - 8  =  - 8}{  \frac{ - 2x}{ - 2}  =  \frac{ - 20}{ - 2} }   \\ x = 10

We found the value of x which is 10.

☆Let's Now plug in.

DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38

and the other:

EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38

☆They asked for what the angle of DGF measured. So we would have to add both sides

38 + 38 = 76

☆The answer is 76

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nordsb [41]

The picture with the complete question is attached below :

Answer:

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Step-by-step explanation:

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