Question

-3x + 4 = -8

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

First, we can subtract 4 from both sides of the equation:

-3x + 4 - 4 = -8 - 4

This simplifies to:

-3x = -12

Next, we can divide both sides of the equation by -3 to solve for x:

-3x / -3 = -12 / -3

This simplifies to:

x = 4

Therefore, the solution to the equation -3x + 4 = -8 is x = 4.

Answer 2

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

To solve the equation -3x + 4 = -8 step by step, follow these steps:

Step 1: Start by isolating the variable term.
-3x + 4 = -8

Subtract 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
-3x = -12

Step 2: Solve for x by dividing both sides of the equation by the coefficient of x.
-3x = -12

Divide both sides by -3:
(-3x) / -3 = (-12) / -3
x = 4

So, the solution to the equation -3x + 4 = -8 is x = 4.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation -3x + 4 = -8, you need to isolate the variable x. Follow these steps to solve the equation:

Step 1: Start by subtracting 4 from both sides of the equation to move the constant term to the right side:
-3x + 4 - 4 = -8 - 4
-3x = -12

Step 2: Divide both sides of the equation by -3 to isolate the variable x:
(-3x) / -3 = (-12) / -3
x = 4

Therefore, the solution to the equation -3x + 4 = -8 is x = 4.

Answer 4

five times what number plus 10 equals 20?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve the equation "five times what number plus 10 equals 20," follow these steps:

Step 1: Assign the variable x to represent the unknown number.
Let x be the unknown number.

Step 2: Translate the problem into an equation.
"Five times what number plus 10 equals 20" can be written as:
5x + 10 = 20

Step 3: Solve the equation by isolating the variable x.
Subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
5x = 10

Divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 10 / 5
x = 2

Therefore, the solution to the equation "five times what number plus 10 equals 20" is x = 2.

Answer 6

x/5 + 3 = 2

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve the equation x/5 + 3 = 2, follow these steps:

Step 1: Start by subtracting 3 from both sides of the equation to move the constant term to the right side:
x/5 + 3 - 3 = 2 - 3
x/5 = -1

Step 2: Multiply both sides of the equation by 5 to eliminate the fraction and isolate the variable x:
5(x/5) = -1 * 5
x = -5

Therefore, the solution to the equation x/5 + 3 = 2 is x = -5.

Answer 8

4 - 2x = 10

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the equation 4 - 2x = 10, follow these steps:

Step 1: Start by subtracting 4 from both sides of the equation to move the constant term to the right side:
4 - 2x - 4 = 10 - 4
-2x = 6

Step 2: Divide both sides of the equation by -2 to solve for x:
(-2x) / -2 = 6 / -2
x = -3

Therefore, the solution to the equation 4 - 2x = 10 is x = -3.

Answer 10

show me a graph that best represents 1/4x - 6 = -4

Answer 11

[AI-generated answer — Bot GPT 3.5]

To graph the equation 1/4x - 6 = -4, we can follow these steps:

Step 1: Rewrite the equation in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
1/4x - 6 = -4

Add 6 to both sides:
1/4x - 6 + 6 = -4 + 6
1/4x = 2

Multiply both sides by 4 to get rid of the fraction:
4 * (1/4x) = 4 * 2
x = 8

So the solution to the equation is x = 8.

Step 2: Plot the y-intercept point on the graph, which is (0, -6). This is the point where the graph crosses the y-axis.

Step 3: Utilizing the slope, which is 1/4, we can determine the next point on the graph. The slope represents the change in y over the change in x. So, starting from the y-intercept point (0, -6), we can move one unit to the right (x + 1) and four units up (y + 4). This gives us the point (1, -2).

Step 4: Connect the two plotted points on the graph with a straight line.

The resulting graph will be a line that passes through the points (0, -6) and (1, -2).

Answer 12

what point would 1/4x - 6 = -4 be on a number line

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the point on the number line where 1/4x - 6 = -4, we need to solve for x.

First, let's isolate x in the equation:

1/4x - 6 = -4

Add 6 to both sides:
1/4x = 2

Multiply both sides by 4 to eliminate the fraction:
1x = 8

The value of x is 8.

So, the point on the number line where 1/4x - 6 = -4 is x = 8.

Answer 14

If Jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. How many stamps does he have?

Answer 15

[AI-generated answer — Bot GPT 3.5]

Let's represent the number of stamps Jaylan has with the variable x.

According to the given information, if Jaylan takes the number of stamps he has (x), multiplies it by 5, and then subtracts 10, he gets 275. We can express this as the equation:

5x - 10 = 275

To solve this equation, we can follow these steps:

Step 1: Start by adding 10 to both sides of the equation to isolate the term with the variable:
5x - 10 + 10 = 275 + 10
5x = 285

Step 2: Divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 285 / 5
x = 57

Therefore, Jaylan has 57 stamps.

Answer 16

create an expression by the following equation.

40w + 12.50 = 492.50

Answer 17

[AI-generated answer — Bot GPT 3.5]

The given equation is 40w + 12.50 = 492.50.

To create an expression based on this equation, we can isolate the variable w.

Subtract 12.50 from both sides of the equation:
40w + 12.50 - 12.50 = 492.50 - 12.50
40w = 480

Divide both sides of the equation by 40:
40w / 40 = 480 / 40
w = 12

Therefore, the expression based on the equation 40w + 12.50 = 492.50 is w = 12.

Answer 18

create a word expression by the following equation.

40w + 12.50 = 492.50

Answer 19

[AI-generated answer — Bot GPT 3.5]

The given equation is 40w + 12.50 = 492.50.

To create a word expression based on this equation:

Let's say w represents the number of widgets.

The word expression would be: "The cost of 40 widgets, plus $12.50, is equal to $492.50."

Answer 20

create another word expression by the following equation.

40w + 12.50 = 492.50

Answer 21

[AI-generated answer — Bot GPT 3.5]

Certainly! Let's create another word expression based on the equation 40w + 12.50 = 492.50.

Let's assume that w represents the number of items or products.

The word expression would be: "The total cost of 40 items, with each item priced at $12.50, is equal to $492.50."

Answer 22

Bella bought b boxes of cookies to cookies to bring to a party. She decides to keep two boxes. Each bow contains 18 cookies. She brings 90 cookies to the party. Which equation can be used to find the number of boxes, b, Bella bought? How many boxes did she buy

Answer 23

[AI-generated answer — Bot GPT 3.5]

To find the number of boxes, b, that Bella bought and determine how many boxes she bought, we can use the following equation:

b - 2 = 90 / 18

This equation represents the idea that the total number of boxes Bella bought, represented by b, minus the two boxes she kept, equals the number of cookies she brought to the party, divided by the number of cookies in each box (18).

To solve the equation and find the value of b:

b - 2 = 90 / 18

b - 2 = 5

Add 2 to both sides of the equation:

b - 2 + 2 = 5 + 2

b = 7

Therefore, Bella bought 7 boxes of cookies.

Answer 24

Delia spent $250 to rent a boat for 6 hours. The rental company charges a base rate of $150 for the first two hour, and then an hourly rate for each additional hour. How much does each additional hour of boat rental cost?

Answer 25

[AI-generated answer — Bot GPT 3.5]

To find the cost per additional hour of boat rental, we need to calculate the difference between the total amount and the base rate for the first two hours.

Let's first subtract the base rate from the total amount:

$250 - $150 = $100

Next, we divide this difference by the number of additional hours:

$100 / 4 (total additional hours) = $25

Therefore, each additional hour of boat rental costs $25.

Answer 26

- 1/5y + 3 = -7

Answer 27

[AI-generated answer — Bot GPT 3.5]

To solve the equation -1/5y + 3 = -7, follow these steps:

Step 1: Start by subtracting 3 from both sides of the equation to move the constant term to the right side:
-1/5y + 3 - 3 = -7 - 3
-1/5y = -10

Step 2: Multiply both sides of the equation by -5 to eliminate the fraction:
-5 * (-1/5y) = -5 * (-10)
y = 50

Therefore, the solution to the equation -1/5y + 3 = -7 is y = 50.

Answer 28

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?

Answer 29

[AI-generated answer — Bot GPT 3.5]

Let's say the number of cupcakes that JoJo decorates is represented by the variable J.

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

We can express this relationship as the equation: Darcy's cupcakes = (1/3)JoJo's cupcakes + 2

We know that Darcy's cupcakes = 8, so we can substitute this value into the equation:

8 = (1/3)J + 2

Next, we can isolate J by subtracting 2 from both sides of the equation:

8 - 2 = (1/3)J + 2 - 2

6 = (1/3)J

To solve for J, we can multiply both sides of the equation by 3 to eliminate the fraction:

6 * 3 = (1/3)J * 3

18 = J

Therefore, JoJo decorates 18 cupcakes.

Answer 30

When multiplying two rational numbers, how is the sigh of the product determined?

Answer 31

[AI-generated answer — Bot GPT 3.5]

When multiplying two rational numbers, the sign of the product is determined by the signs of the two numbers being multiplied.

If both rational numbers have the same sign (both positive or both negative), then the product will be positive.

If the two rational numbers have different signs (one positive and one negative), then the product will be negative.

For example:
- If we multiply (-3/4) and (-2/5), both of which are negative, the product will be positive.
- If we multiply (-3/4) and (2/5), one negative and one positive, the product will be negative.

Answer 32

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

Answer 33

[AI-generated answer — Bot GPT 3.5]

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

Given:
Initial temperature = 81 degrees F
Temperature dropped = 9 degrees F
Temperature rose = 5 degrees F

To find the temperature change needed to return to 81 degrees F, we calculate the net change. We add the temperature rise and subtract the temperature drop:

Net change = Temperature rise - Temperature drop
= 5 - (-9)
= 5 + 9
= 14

Therefore, the temperature needs to rise by 14 degrees F to return to the initial temperature of 81 degrees F.

Answer 34

that was not an option

Answer 35

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Let's correct the calculation.

Given:
Initial temperature = 81 degrees F
Temperature dropped = 9 degrees F
Temperature rose = 5 degrees F

To find the temperature change needed to return to 81 degrees F, we calculate the combined change of the temperature drop and the temperature rise:

Combined Change = Temperature rise + (-Temperature drop)
= 5 + (-9)
= 5 - 9
= -4

Therefore, the temperature needs to fall by 4 degrees F to return to the initial temperature of 81 degrees F.

Answer 36

divide - 3/17 by - 2/3

Answer 37

[AI-generated answer — Bot GPT 3.5]

To divide -3/17 by -2/3, we need to multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of -2/3 is -3/2.

So, -3/17 divided by -2/3 can be written as:
-3/17 * -3/2

Multiplying the numerators (-3 * -3) and the denominators (17 * 2), we get:
9/34

Therefore, the division -3/17 divided by -2/3 is equal to 9/34.

Answer 38

4/7 (- 20/2)

Answer 39

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 4/7 * (-20/2), we need to multiply the numerators and denominators:

The numerator is obtained by multiplying the numerators 4 and -20, giving -80.
The denominator is obtained by multiplying the denominators 7 and 2, giving 14.

Therefore, 4/7 * (-20/2) simplifies to -80/14, which can be further simplified by dividing both the numerator and denominator by their greatest common divisor (which is 2):

-80/14 = -40/7

So, the simplified form of the expression 4/7 * (-20/2) is -40/7.

Answer 40

-40/7 as a mixed number

Answer 41

[AI-generated answer — Bot GPT 3.5]

To convert -40/7 into a mixed number, we divide the numerator (-40) by the denominator (7) to find the whole number part, and the remainder becomes the numerator of the fraction part.

Dividing -40 by 7 gives us a quotient of -5 and a remainder of 5.

Therefore, -40/7 as a mixed number is -5 5/7.

Answer 42

the 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

Answer 43

[AI-generated answer — Bot GPT 3.5]

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

Given:
Elevation of the basement floor = -15 ft
Elevation of the roof = 37 ft

Distance from the basement floor to the roof = Elevation of the roof - Elevation of the basement floor

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

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