Question

−3x+4=−8 (1 point)

Responses

4/3

-4
-4

4
4

−4/3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation −3x+4=−8, we need to isolate the variable x.

First, subtract 4 from both sides to get rid of the constant on the left side:

−3x = −12

Next, divide both sides by -3 to solve for x:

x = (-12)/(-3) = 4/3

So the solution is x = 4/3.

Answer 2

[AI-generated answer — Explain Bot]

To find the value of x in the equation −3x + 4 = −8, we need to isolate the variable x on one side of the equation.

Step 1: Start with the given equation:
−3x + 4 = −8

Step 2: Subtract 4 from both sides of the equation to get rid of the constant term on the left side:
−3x + 4 - 4 = −8 - 4
−3x = -12

Step 3: Divide both sides of the equation by -3 to solve for x:
−3x / -3 = -12 / -3
x = 4

So the value of x in the equation −3x + 4 = −8 is x = 4.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve the equation −3x + 4 = −8, we can follow these steps:

1. Subtract 4 from both sides to isolate the term with x.
−3x + 4 - 4 = -8 - 4
−3x = -12

2. Divide both sides of the equation by -3 to solve for x.
(-3x)/-3 = -12/-3
x = 4

Therefore, the solution to the equation is x = 4.

Answer 4

−0.1w+23.2=−0.8(1 point)

Responses

-224
-224

-240
-240

240
240

224

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the equation −0.1w+23.2=−0.8, we need to isolate the variable w.

First, subtract 23.2 from both sides to get rid of the constant on the right side:

−0.1w = −0.8 - 23.2
−0.1w = −24

Next, divide both sides by -0.1 to solve for w:

w = (-24)/(-0.1) = 240

So the solution is w = 240.

Answer 6

4−2x=10(1 point)

Responses

3
3

2
2

-7
-7

-3

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation 4−2x=10, we need to isolate the variable x.

First, subtract 4 from both sides of the equation to get rid of the constant on the left side:
4 - 2x - 4 = 10 - 4
-2x = 6

Next, divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 6 / -2
x = -3

So the solution is x = -3.

Answer 8

Mariah wants to buy as many collectible dolls as possible, for $4.50 each. If she has $75.00 to spend, how many dolls can she buy? Which equation represents this situation?(1 point)

Responses

75d=4.575 d is equal to 4 point 5

d+4.5=75d plus 4 point 5 is equal to 75

4.5d=754 point 5 d is equal to 75

d4.5=75

Answer 9

[AI-generated answer — Bot GPT 3.5]

The correct equation that represents this situation is:

4.5d = 75

This equation states that the cost of each doll, $4.50, multiplied by the number of dolls, d, equals the total amount Mariah has to spend, $75.00.

Answer 10

−15y+3=−7(1 point)

Responses

50
50

-35
-35

15
15

55
55

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve the equation −15y+3=−7, we need to isolate the variable y.

First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−15y + 3 - 3 = −7 - 3
−15y = -10

Next, divide both sides of the equation by -15 to solve for y:
(-15y) / -15 = -10 / -15
y = 2/3

So the solution is y = 2/3.

Answer 12

−1/5y+3=−7(1 point)

Responses

50
50

-35
-35

15
15

55
55

Answer 13

[AI-generated answer — Bot GPT 3.5]

To solve the equation −1/5y + 3 = −7, we need to isolate the variable y.

First, subtract 3 from both sides of the equation to get rid of the constant on the right side:
−1/5y + 3 - 3 = −7 - 3
−1/5y = -10

Next, multiply both sides of the equation by -5 to solve for y:
(-1/5y) * -5 = -10 * -5
y = 50

So the solution is y = 50.

Answer 14

Darcy and JoJo are decorating cupcakes for a party. Darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes that JoJo decorates. How many cupcakes does JoJo decorate?(1 point)

Responses

18
18

2
2

30
30

3

Answer 15

[AI-generated answer — Bot GPT 3.5]

Let's represent the number of cupcakes that JoJo decorates as J.

According to the problem, Darcy decorates 8 cupcakes, which is 2 more than 1/3 of the number of cupcakes that JoJo decorates.

We can set up the equation as follows:
8 = (1/3)J + 2

Now, let's solve for J (the number of cupcakes JoJo decorates).

First, subtract 2 from both sides of the equation:
8 - 2 = (1/3)J + 2 - 2
6 = (1/3)J

To eliminate the fraction, multiply both sides of the equation by 3:
3 * 6 = 3 * (1/3)J
18 = J

Therefore, JoJo decorates 18 cupcakes.

Answer 16

When multiplying two rational numbers, how is the sign of the product determined?(1 point)

Responses

The product is positive if the signs of the factors are the same.
The product is positive if the signs of the factors are the same.

The product is negative if the signs of the factors are the same.
The product is negative if the signs of the factors are the same.

The sign of the product is always the same as the larger factor.
The sign of the product is always the same as the larger factor.

The sign of the product is always the same as the smaller factor.

Answer 17

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

The product is positive if the signs of the factors are the same.

When multiplying two rational numbers, if both factors have the same sign (either positive or negative), the product will be positive.

Answer 18

On a given morning the temperature was 81°F. The temperature dropped 9°F and then rose 5°F. How much does the temperature need to rise or fall to return to the initial temperature of 81°F?(1 point)

Responses

Rise 4°Rise 4 degrees

Rise 9°Rise 9 degrees

Fall 4°Fall 4degree

Fall 5°

Answer 19

[AI-generated answer — Bot GPT 3.5]

To return to the initial temperature of 81°F, we need to find the difference between the final temperature and the initial temperature.

The temperature initially was 81°F. Then it dropped 9°F and rose 5°F.

To find how much the temperature needs to rise or fall to return to 81°F, we need to calculate the difference between the final temperature and 81°F.

Final temperature = 81°F - 9°F + 5°F = 77°F

The temperature needs to rise 4°F to return to the initial temperature of 81°F.

Answer 20

he elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point)

Responses

22 feet
22 feet

-52 feet
-52 feet

37 feet
37 feet

52 feet

Answer 21

[AI-generated answer — Bot GPT 3.5]

To find the distance from the basement floor to the roof, we need to calculate the difference between the elevations of the two.

The elevation of the basement floor is -15 ft and the elevation of the roof is 37 ft.

To find the distance, we need to subtract the elevation of the basement floor from the elevation of the roof.

Distance = 37 ft - (-15 ft) = 37 ft + 15 ft = 52 ft

So, the distance from the basement floor to the roof is 52 feet.