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)

Question

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)
Responses

h + 5 1/2 =  3 3/4
h plus 5 and one-half equals 3 and three-fourths

h − 5 1/2 =  3 3/4
h minus 5 and one-half equals 3 and three-fourths

h + 3 3/4 = 5 1/2
h plus 3 and three-fourths equals 5 and one-half

h − 3 3/4 = 5 1/2
h minus 3 and three-fourths equals 5 and one-half

GPT-4o mini · Answer

To find the number of hours, $ h $, that Maria still needs to spend to complete her service program, we can set up the equation based on the total hours required and the hours she has already completed. Maria needs to spend a total of $ 5 \frac{1}{2} $ hours, and she has already spent $ 3 \frac{3}{4} $ hours. Therefore, the remaining hours that she still needs to spend can be expressed as: $$ h + 3 \frac{3}{4} = 5 \frac{1}{2} $$ This equation correctly represents that the total hours spent, plus the hours she has completed, equals the total hours required. So, the correct response is: **h + 3 3/4 = 5 1/2** (h plus 3 and three-fourths equals 5 and one-half)

uh oh · Answer

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)
Responses

w + 8.8 = 95.3; the water level of the dam last month was 86.5 meters.
w plus 8.8 equals 95.3 ; 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 minus 8.8 equals 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 86.5 meters.
w minus 95.3 equals 8.8 ; 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 104.1 meters.
w plus 95.3 equals 8.8 ; the water level of the dam last month was 104.1 meters.

GPT-4o mini · Answer

To represent the water level of the dam last month, we need to establish a relationship involving the decrease in water level due to excessive heat.

Let $ w $ represent the water level of the dam last month. The water level decreased by 8.8 meters, and now it is at 95.3 meters. We can express this situation with the equation:

\[ w - 8.8 = 95.3 \]

From this equation, we can solve for $ w $:

\[ w = 95.3 + 8.8 \] \[ w = 104.1 \]

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

The correct response is:

w − 8.8 = 95.3; the water level of the dam last month was 104.1 meters.
(w minus 8.8 equals 95.3 ; the water level of the dam last month was 104.1 meters.)

uh oh · Answer

What number should both sides of the equation −7x=14 be divided by to solve for the value of x ?(1 point)

GPT-4o mini · Answer

To solve the equation $-7x = 14$ for $x$, you should divide both sides of the equation by $-7$. The equation becomes: $$ x = \frac{14}{-7} $$ So, both sides should be divided by **-7**.