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Norma-Jean [14]
3 years ago
6

Trim the exam the equation below and said that the equation has exactly one solution -8(x - 4) + 2x = -4(x - 8) - 2x which expla

ins whether Trina is correct:
a.) Trina is correct because the two sides of the equation are equivalent
b.) Trina is correct because the two sides of the equation are not equivalent
c.) Trina is not correct because the two sides of the equation are equivalent
d.) Trina is not correct because the two sides of the equation are not equivalent
I'm super confused on this can somebody help me​
Mathematics
1 answer:
vivado [14]3 years ago
4 0

The answer is C Trina is not correct because the two sides of the equation are equivalent

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Answer:

Carlos has practiced piano for \frac{29}{20}=1\frac{9}{20} hours.

Carlos needs to practice \frac{11}{20} hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

\frac{3}{4}+\frac{7}{10}

Make a common denominator:

\frac{3*5}{4*5}+\frac{7*2}{10*2}

\frac{15}{20}+\frac{14}{20}

Add numerators:

\frac{15+14}{20}

\frac{29}{20}  

Therefore, Carlos has practiced piano for \frac{29}{20} hours.

Now, we will subtract \frac{29}{20} from 2 find number of hours Carlos needs to practice to reach his goal.

2-\frac{29}{20}

\frac{2*20}{20}-\frac{29}{20}

\frac{40}{20}-\frac{29}{20}

\frac{40-29}{20}

\frac{11}{20}

Therefore, Carlos needs to practice \frac{11}{20} hours before going to bed in order to meet his goal.

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