Question

Solve for m.

−7m=42

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

m=-6

Answer 2

Solve for k.

k−2=−10

Answer 3

[AI-generated answer — Bot GPT 3.5]

k = -10 + 2

k = -8

Answer 4

wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. Let's solve it correctly.

k - 2 = -10

We can isolate k by adding 2 to both sides:

k - 2 + 2 = -10 + 2

This simplifies to:

k = -8

Therefore, the correct solution is k = -8.

Answer 6

Solve for k.

k/−2=−10

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve for k, we need to isolate it on one side of the equation.

Divide both sides of the equation by -2:

(k/(-2)) = (-10)/(-2)

This simplifies to:

k = 5

Therefore, the solution for k is k = 5.

Answer 8

Solve for y.

5y−10=−25

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve for y, we will isolate it on one side of the equation.

Starting with the given equation:

5y - 10 = -25

First, we will add 10 to both sides of the equation to get rid of the -10 term on the left side:

5y - 10 + 10 = -25 + 10

This simplifies to:

5y = -15

Next, we will divide both sides of the equation by 5 to solve for y:

(5y)/5 = (-15)/5

This simplifies to:

y = -3

Therefore, the solution for y is y = -3.

Answer 10

Solve for x.

−3x+4=−8

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve for x, we will isolate it on one side of the equation.

Starting with the given equation:

-3x + 4 = -8

First, we will subtract 4 from both sides of the equation to get rid of the +4 term on the left side:

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

This simplifies to:

-3x = -12

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

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

This simplifies to:

x = 4

Therefore, the solution for x is x = 4.

Answer 12

Solve for w.

−0.1w+23.2=−0.8

Answer 13

[AI-generated answer — Bot GPT 3.5]

To solve for w, we will isolate it on one side of the equation.

Starting with the given equation:

-0.1w + 23.2 = -0.8

First, we will subtract 23.2 from both sides of the equation to get rid of the +23.2 term on the left side:

-0.1w + 23.2 - 23.2 = -0.8 - 23.2

This simplifies to:

-0.1w = -24

Next, we will divide both sides of the equation by -0.1 to solve for w:

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

This simplifies to:

w = 240

Therefore, the solution for w is w = 240.

Answer 14

What is the first operation used in solving this equation?

m/10−12=−24

Answer 15

[AI-generated answer — Bot GPT 3.5]

The first operation used in solving the equation m/10 - 12 = -24 is subtraction. In this case, we subtract 12 from both sides of the equation to isolate the term with m.

Answer 16

Cody has 22 rare coins. Each year Clark plans to add 15 coins to his collection. How many years will it take Cody to collect 577 coins?

Answer 17

[AI-generated answer — Bot GPT 3.5]

To determine the number of years it will take for Cody to collect 577 coins, we need to find the difference between the target number of coins (577) and the initial number of coins Cody already has (22). Then, we can divide this difference by the number of coins Clark plans to add to his collection each year (15).

Difference = 577 - 22 = 555
Years = Difference / 15 = 555 / 15 ≈ 37

Therefore, it will take approximately 37 years for Cody to collect 577 coins.

Answer 18

Tom is given the equation 10x+15=20

to solve. He says the solution is 1/2
. Which reason justifies his solution?

Answer 19

[AI-generated answer — Bot GPT 3.5]

The reason that justifies Tom's solution of 1/2 for the equation 10x + 15 = 20 is that when you substitute x = 1/2 into the equation, it makes the equation true.

Let's substitute x = 1/2 into the equation and check if it is satisfied:

10(1/2) + 15 = 20

5 + 15 = 20

20 = 20

Since the equation is true when x = 1/2, it confirms that 1/2 is indeed the solution to the equation.

Answer 20

Dr. Burrows is measuring the weight of a substance for a science experiment. He added a mystery substance (m) to his experiment. Dr. Burrows used the equation 13.93 + m = 18.0 to find out how much he added. How much of the mystery substance (m) did he add to his experiment?

Answer 21

[AI-generated answer — Bot GPT 3.5]

To find out how much of the mystery substance Dr. Burrows added to his experiment, we need to solve the equation 13.93 + m = 18.0 for m.

We can isolate m by subtracting 13.93 from both sides of the equation:

m = 18.0 - 13.93

This simplifies to:

m = 4.07

Therefore, Dr. Burrows added 4.07 units of the mystery substance to his experiment.

Answer 22

Five times what number plus 10 equals 20?(1 point)

Answer 23

[AI-generated answer — Bot GPT 3.5]

To solve this equation, we'll start by representing the unknown number with a variable, such as x.

The equation "Five times what number plus 10 equals 20" can be written as:

5x + 10 = 20

Next, we'll subtract 10 from both sides of the equation:

5x + 10 - 10 = 20 - 10

This simplifies to:

5x = 10

Finally, we'll divide both sides of the equation by 5 to solve for x:

(5x) / 5 = 10 / 5

This simplifies to:

x = 2

Therefore, the unknown number is 2.

Answer 24

Solve for z.

z/5+3=2

Answer 25

[AI-generated answer — Bot GPT 3.5]

To solve for z, we will isolate the variable on one side of the equation.

Starting with the given equation:

z/5 + 3 = 2

We will subtract 3 from both sides of the equation to get rid of the +3 term:

z/5 + 3 - 3 = 2 - 3

This simplifies to:

z/5 = -1

Next, we will multiply both sides of the equation by 5 to solve for z:

(z/5)*5 = -1*5

This simplifies to:

z = -5

Therefore, the solution for z is z = -5.

Answer 26

Find the solution to

4−2x=10

Answer 27

[AI-generated answer — Bot GPT 3.5]

To find the solution to the equation 4 - 2x = 10, we need to isolate x on one side of the equation.

Start by subtracting 4 from both sides of the equation:

4 - 2x - 4 = 10 - 4

This simplifies to:

-2x = 6

Next, divide both sides of the equation by -2 to solve for x:

(-2x) / -2 = 6 / -2

This simplifies to:

x = -3

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

Answer 28

1/4x−6=−4

Answer 29

[AI-generated answer — Bot GPT 3.5]

To find the solution to the equation (1/4)x - 6 = -4, we need to isolate x on one side of the equation.

Start by adding 6 to both sides of the equation:

(1/4)x - 6 + 6 = -4 + 6

This simplifies to:

(1/4)x = 2

Next, multiply both sides of the equation by 4 to solve for x:

(1/4)x * 4 = 2 * 4

This simplifies to:

x = 8

Therefore, the solution to the equation is x = 8.

Answer 30

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?

Answer 31

[AI-generated answer — Bot GPT 3.5]

To find the number of collectible dolls Mariah can buy, we need to divide the total amount of money she has by the cost of each doll.

Let's represent the number of dolls as x. The equation that represents this situation is:

4.50x = 75.00

In this equation, 4.50 represents the cost of each doll, x represents the number of dolls, and 75.00 represents the total amount of money Mariah has to spend.

To find the value of x, we can solve the equation for x by dividing both sides by 4.50:

(4.50x) / 4.50 = 75.00 / 4.50

This simplifies to:

x = 16.67

Since the number of dolls needs to be a whole number, Mariah can buy 16 dolls.

Therefore, Mariah can buy 16 dolls with $75.00.

Answer 32

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?

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

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

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

d/4.5=75

Answer 33

[AI-generated answer — Bot GPT 3.5]

The correct equation that represents the situation is:

4.5d = 75

In this equation, 4.5 represents the cost of each doll, d represents the number of dolls, and 75 represents the total amount of money Mariah has to spend.

To find the value of d, we can solve the equation for d by dividing both sides by 4.5:

(4.5d) / 4.5 = 75 / 4.5

This simplifies to:

d = 16.67

Since the number of dolls needs to be a whole number, Mariah can buy 16 dolls.

Therefore, Mariah can buy 16 dolls with $75.00.

Answer 34

you sure?

Answer 35

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response. Let's solve it correctly.

To find the number of collectible dolls Mariah can buy, we need to divide the total amount of money she has by the cost of each doll.

Let's represent the number of dolls as d. The equation that represents this situation is:

4.50d = 75.00

In this equation, 4.50 represents the cost of each doll, d represents the number of dolls, and 75.00 represents the total amount of money Mariah has to spend.

To find the value of d, we can solve the equation for d by dividing both sides by 4.50:

(4.50d) / 4.50 = 75.00 / 4.50

This simplifies to:

d = 16.67

However, she cannot purchase a fraction of a doll, so she would be able to buy a whole number of dolls. In this case, the highest integer number of dolls she can buy is 16.

Therefore, Mariah can buy 16 dolls with $75.00.

Answer 36

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 37

[AI-generated answer — Bot GPT 3.5]

To determine how many stamps Jaylan has, we can use the given information to set up an equation.

Let's represent the number of stamps Jaylan has with the variable s. According to the problem, the equation can be written as:

5s - 10 = 275

To solve for s, we will isolate the variable by adding 10 to both sides of the equation:

5s - 10 + 10 = 275 + 10

This simplifies to:

5s = 285

Next, we will divide both sides of the equation by 5 to solve for s:

(5s) / 5 = 285 / 5

This simplifies to:

s = 57

Therefore, Jaylan has 57 stamps.

Answer 38

40w+12.50=492.50

Answer 39

[AI-generated answer — Bot GPT 3.5]

To solve for w, we will isolate the variable on one side of the equation.

Starting with the given equation:

40w + 12.50 = 492.50

Next, to isolate the term with w, we can subtract 12.50 from both sides of the equation:

40w + 12.50 - 12.50 = 492.50 - 12.50

This simplifies to:

40w = 480

To solve for w, we need to divide both sides of the equation by 40:

(40w) / 40 = 480 / 40

This simplifies to:

w = 12

Therefore, the solution for w is w = 12.

Answer 40

Which situation is best represented by the following equation?

40w+12.50=492.50

Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $12.50 for ballet classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $40 for ballet classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes

Answer 41

[AI-generated answer — Bot GPT 3.5]

The situation best represented by the equation 40w + 12.50 = 492.50 is:

"Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes."

In this situation, the cost of each week Nikayah was enrolled in ballet classes is represented by the term 40w, where w represents the number of weeks. The $12.50 represents the registration fee added to the total cost. The equation is set up to find the value of w.

Answer 42

Bella bought b boxes of cookies to bring to a party. She decides to keep two boxes. Each box 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 43

[AI-generated answer — Bot GPT 3.5]

To find the number of boxes, b, Bella bought, we can set up an equation based on the given information.

Let's represent the number of boxes Bella bought with the variable b. The equation that represents the situation can be written as:

18b - 2 = 90

In this equation, 18 represents the number of cookies in each box, b represents the number of boxes, and 2 represents the number of boxes Bella kept for herself. We subtract 2 from the total number of cookies to account for the boxes she kept.

To solve for b, we will isolate the variable by adding 2 to both sides of the equation:

18b - 2 + 2 = 90 + 2

This simplifies to:

18b = 92

Next, divide both sides of the equation by 18 to solve for b:

(18b) / 18 = 92 / 18

This simplifies to:

b = 5.11

Bella cannot buy a fraction of a box, so she bought 5 boxes.

Therefore, Bella bought 5 boxes of cookies.

Answer 44

Bella bought b boxes of cookies to bring to a party. She decides to keep two boxes. Each box 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?(1 point)

Responses

18b−2=90; b=5
18b−2=90; b=5

2b−18=90; b=54
2b−18=90; b=54

18b−36=90; b=7
18b−36=90; b=7

18b−36=90; b=6

Answer 45

[AI-generated answer — Bot GPT 3.5]

The equation that can be used to find the number of boxes, b, that Bella bought is:

18b - 2 = 90.

By using this equation, we can solve for b to determine the number of boxes Bella bought.

To solve for b, we need to isolate b on one side of the equation. Let's perform the necessary operations:

First, add 2 to both sides of the equation:

18b - 2 + 2 = 90 + 2.

Simplifying, we get:

18b = 92.

Next, divide both sides of the equation by 18:

(18b) / 18 = 92 / 18.

Simplifying further, we have:

b = 5.11.

Since Bella cannot buy a fraction of a box, we need to round to the nearest whole number. Thus, Bella bought 5 boxes.

Therefore, Bella bought 5 boxes of cookies.

Answer 46

You sure

Answer 47

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's solve the equation correctly.

The correct equation that can be used to find the number of boxes, b, that Bella bought is:

18b - 2 = 90.

Let's solve it correctly now:

Adding 2 to both sides of the equation:

18b - 2 + 2 = 90 + 2.

This simplifies to:

18

Answer 48

Delia spent $250 to rent a boat for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of boat rental cost?