Mario is x years old. In 7 years, he will be 19. Which equation can be used to determine

Mario’s present age? (1 point)
x − 7 = 19
x + 7 = 19
x − 19 = 7
x + 19 = 7

9 answers

The correct equation that can be used to determine Mario’s present age is:

x + 7 = 19

This equation represents that in 7 years, Mario's age (x + 7) will be 19 years old.

Maria has to spend 5
1
2
hours to finish her community service program in a community health

clinic. Last week, she was able to spend 3
3
4
hours. Which equation can be used to determine
the number of hours, h, that Maria still needs to spend to complete her service program?
(1 point)

h − 3
3
4
= 5
1
2
h − 5
1
2 = 3
3
4
h + 3
3
4 = 5
1
2
h + 5
1
2 = 3
3
4

To determine the number of hours, \( h \), that Maria still needs to spend to complete her community service program, the correct equation is:

h + 3 \( \frac{3}{4} \) = 5 \( \frac{1}{2} \)

This equation represents that the total hours needed to complete her service program (the hours she still needs, \( h \), plus the hours she has already worked, \( 3 \frac{3}{4} \)) equals the total required hours \( 5 \frac{1}{2} \).

You have p dollars in your piggy bank. You spent $13.32 to buy a toy, leaving you with
$25.70. Which equation should be used to determine the amount of money you had in your
piggy bank before buying the toy? How much money was in the piggy bank? (1 point)
p − 25.70 = 13.32; there was $12.38 in the piggy bank.
p − 13.32 = 25.70; ; there was $39.02 in the piggy bank.
p + 13.32 = 25.70; there was $12.38 in the piggy bank.
p + 25.70 = 13.32; there was –$12.38 in the piggy bank.

To determine the amount of money you had in your piggy bank before buying the toy, the correct equation is:

p - 13.32 = 25.70

This equation represents that the amount of money you had in your piggy bank (p) minus the cost of the toy ($13.32) equals the amount of money you had left ($25.70).

Now, let's solve for \( p \):

\[ p - 13.32 = 25.70 \]

Adding \( 13.32 \) to both sides gives:

\[ p = 25.70 + 13.32 \]

Calculating the right side:

\[ p = 39.02 \]

Therefore, there was $39.02 in the piggy bank before buying the toy.

Krista and Alexa played balloon darts in a school fair. Krista popped 5 balloons and Alexa
popped n balloons. Together, they popped a total of 13 balloons. Which equation can be used to
determine the number of balloons Alexa popped? How many balloons did she pop? (1 point)
n + 13 = 5; Alexa popped 8 balloons.
n − 5 = 13; Alexa popped 18 balloons.
n + 5 = 13; Alexa popped 8 balloons.
n − 13 = 5; Alexa popped 18 balloons.

To determine the number of balloons Alexa popped, the correct equation is:

n + 5 = 13

This equation states that the number of balloons Alexa popped (n) plus the number of balloons Krista popped (5) equals the total number of balloons popped (13).

Now, let's solve for \( n \):

\[ n + 5 = 13 \]

Subtracting 5 from both sides gives:

\[ n = 13 - 5 \]

Calculating the right side:

\[ n = 8 \]

Therefore, Alexa popped 8 balloons.

Due to excessive heat, the water level in a dam decreased by 8.8 meters last month. Now,
the water level is 95.3 meters. Which equation represents the water level, w, of the dam last
month? What was the water level last month? (1 point)
w + 8.8 = 95.3; the water level of the dam last month was 86.5 meters.
w − 95.3 = 8.8; the water level of the dam last month was 86.5 meters.
w − 8.8 = 95.3; the water level of the dam last month was 104.1 meters.
w + 95.3 = 8.8; the water level of the dam last month was 104.1 meters.

To determine the water level \( w \) of the dam last month, the correct equation is:

w − 8.8 = 95.3

This equation indicates that the water level last month (w) minus the decrease in water level (8.8 meters) equals the current water level (95.3 meters).

Now, let's solve for \( w \):

\[ w - 8.8 = 95.3 \]

Adding 8.8 to both sides gives:

\[ w = 95.3 + 8.8 \]

Calculating the right side:

\[ w = 104.1 \]

Therefore, the water level of the dam last month was 104.1 meters.

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