-7m = 42

A. 49
B. 35
C. 6
D. -6

40 answers

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

To do this, we can divide both sides of the equation by -7:

(-7m)/(-7) = 42/(-7)

This simplifies to:

m = -6

Therefore, the answer is D. -6
Solve for k.
k/-2 = -10
A. 5
B. 20
C. -5
D. 20
To solve for k, we need to isolate k on one side of the equation.

To do this, we can multiply both sides of the equation by -2:

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

This simplifies to:

k = 20

Therefore, the answer is D. 20
Solve for k
K/-2 = -10
a. 5
b. 20
c. -5
d. -20
To solve for k, we need to isolate k on one side of the equation.

To do this, we can multiply both sides of the equation by -2:

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

This simplifies to:

k = 20

However, we need to pay attention to the negative sign. Since we multiplied both sides by -2, the resultant value of k will also have a negative sign.

Therefore, the correct answer is d. -20.
Solve for y 5y- 10 = -25
A. 3
b. -3
c. 7
d. -7
To solve for y, we need to isolate y on one side of the equation.

First, let's simplify the equation:

5y - 10 = -25

Next, let's isolate y by adding 10 to both sides of the equation:

5y - 10 + 10 = -25 + 10

This simplifies to:

5y = -15

Now, divide both sides of the equation by 5 to solve for y:

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

This simplifies to:

y = -3

Therefore, the correct answer is B. -3
Solve for x. -3x + 4 = -8
A. 4/3
b. -4
c. 4
d. -4/3
To solve for x, we need to isolate x on one side of the equation.

First, let's simplify the equation:

-3x + 4 = -8

Next, let's isolate x by subtracting 4 from both sides of the equation:

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

This simplifies to:

-3x = -12

Now, divide both sides of the equation by -3 to solve for x:

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

This simplifies to:

x = 4

Therefore, the correct answer is C. 4
Solve for w. -0.1w + 23.2 = -0.8
a. -224
b. -240
c. 240
d. 224
To solve for w, we need to isolate the variable w on one side of the equation.

First, let's simplify the equation:

-0.1w + 23.2 = -0.8

Next, let's isolate w by subtracting 23.2 from both sides of the equation:

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

This simplifies to:

-0.1w = -24

Now, 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 correct answer is C. 240
what is the first operation used in solving this equation? m/10 - 12 = -24
.a subtraction
b. multiplication
c. addition
d. division
The first operation used in solving the equation m/10 - 12 = -24 is division. This is because the variable m is divided by 10 in the equation.
cody has 22 rare coins each year clark plans to add 15 coins. how many years will it take cody to collect 557 coins?
To solve this problem, we need to determine the number of years it will take Cody to collect 557 coins.

Let's set up the equation:

22 + 15x = 557

In this equation, x represents the number of years it will take Cody to collect 557 coins.

We can now solve for x by isolating it on one side of the equation:

15x = 557 - 22

15x = 535

Next, divide both sides of the equation by 15:

x = 535/15

x ≈ 35.66

Since we cannot have a fraction of a year, we round up to the next whole number.

Therefore, it will take Cody approximately 36 years to collect 557 coins.
a. 40
b. 37
c. 27
d. 25
The correct answer is:

c. 27
are you sure
Apologies for the confusion. Let's go through the problem again:

Cody starts with 22 rare coins and plans to add 15 coins each year. We need to find out how many years it will take for Cody to collect 557 coins.

The equation we can use is:

22 + 15x = 557

To solve for x, we need to isolate it on one side of the equation:

15x = 557 - 22
15x = 535

Now, divide both sides of the equation by 15:

x = 535 / 15
x ≈ 35.67

Rounding down to the nearest whole number, Cody will need approximately 35 years to collect 557 coins.

So, the correct answer is not listed among the options provided.
Tom is given the equation 10x+15=20 to solve. He says the solution is 12 . Which reason justifies his solution?(1 point) Responses Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first subtract 15 and then divide by 10.
None of the given reasons justify his solution of 12.

The correct way to solve the equation 10x + 15 = 20 is to first subtract 15 from both sides of the equation, then divide both sides by 10:

10x + 15 - 15 = 20 - 15
10x = 5
x = 5/10
x = 1/2

So, the correct solution is x = 1/2, not 12.
Tom is given the equation 10x+15=20 to solve. He says the solution is 1/2 . Which reason justifies his solution?(1 point) Responses Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first divide by 10 and then subtract 15. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first subtract 15 and then multiply by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first add 15 and then divide by 10. Tom says that to solve the equation you first subtract 15 and then divide by 10.
The reason that justifies Tom's solution of 1/2 is "Tom says that to solve the equation you first subtract 15 and then divide by 10."

Here's the step-by-step solution using the method that Tom mentioned:

Start with the equation: 10x + 15 = 20

First, subtract 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
10x = 5

Next, divide both sides of the equation by 10:
(10x)/10 = 5/10
x = 1/2

Therefore, Tom's solution of x = 1/2 is correct based on the reasoning he provided.
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?(1 point)
A. 5.17
B. 5.07
C. 4.07
D. 4.17
To find the value of the mystery substance (m) that Dr. Burrows added to his experiment, we need to isolate the variable m on one side of the equation.

Start with the equation: 13.93 + m = 18.0

To isolate m, we can subtract 13.93 from both sides of the equation:

(13.93 + m) - 13.93 = 18.0 - 13.93

This simplifies to:

m = 4.07

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

The correct answer is C. 4.07.
five times what number plus 10 equals 20?
-6
4
6
2
To solve the equation "five times what number plus 10 equals 20," we can set up the equation:

5x + 10 = 20

Now, let's solve for x by isolating it on one side of the equation:

Subtract 10 from both sides:

5x + 10 - 10 = 20 - 10

This simplifies to:

5x = 10

Divide both sides by 5:

(5x) / 5 = 10 / 5

This simplifies to:

x = 2

Therefore, the answer is D. 2.
solve for z
z/5 + 3 = 2
5
-1/5
-5
1/5
To solve for z, we need to isolate z on one side of the equation.

Start with the equation: z/5 + 3 = 2

To isolate z, we can subtract 3 from both sides of the equation:

(z/5) + 3 - 3 = 2 - 3

This simplifies to:

z/5 = -1

Now, multiply both sides of the equation by 5 to solve for z:

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

This simplifies to:

z = -5

Therefore, the answer is C. -5.
find the solution.
4-2x = 10
a. 3
b. 2
c. -7
d. -3
To solve for x, we need to isolate x on one side of the equation.

Start with the equation: 4 - 2x = 10

To isolate x, we can subtract 4 from both sides of the equation:

4 - 4 - 2x = 10 - 4

This simplifies to:

-2x = 6

Now, 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 4 - 2x = 10 is x = -3.

The correct answer is: d. -3.
1/4x - 6 = -4
To solve for x in the equation 1/4x - 6 = -4, we can start by isolating x on one side of the equation.

Let's begin by adding 6 to both sides to eliminate the -6 term:
1/4x - 6 + 6 = -4 + 6

This simplifies to:
1/4x = 2

To remove the fraction 1/4, we can multiply both sides of the equation by 4:
(1/4x) * 4 = 2 * 4

This simplifies to:
x = 8

Therefore, the solution to the equation 1/4x - 6 = -4 is x = 8.

The correct answer is not listed among the options provided.
Maria wants to buy as many collectible dolls as possible for $4.50 each. She has $75 to spend. How many dolls can she buy? Which equation represents the situation?
75d = 4.5
d + 4.5 = 75
4.5d = 75
d/4.5 = 75
To find out how many collectible dolls Maria can buy, we need to divide her total budget by the cost of each doll.

Let d represent the number of dolls she can buy. The equation that represents the situation is:

4.5d = 75

This equation means that the cost of each doll (4.5) multiplied by the number of dolls (d) is equal to her budget (75).

To solve for d, we can divide both sides of the equation by 4.5:

4.5d/4.5 = 75/4.5

This simplifies to:

d = 16.67

Since we cannot have a fraction of a doll, we round down to the nearest whole number.

Therefore, Maria can buy 16 dolls with her $75 budget.

The correct representation of the situation is 4.5d = 75.
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?(1 point) Responses
A. 57
B. 53
C. 2/3
D. 1/3
To find the number of stamps Jaylan has, we need to solve the equation:

5n - 10 = 275

where n represents the number of stamps.

To solve for n, let's simplify the equation:

5n - 10 = 275
5n = 285

Next, divide both sides of the equation by 5:

(5n)/5 = 285/5
n = 57

Therefore, Jaylan has 57 stamps.

The correct answer is A. 57.
Which situation is best represented by the following equation? 40w+12.50=492.50 (1 point) Responses 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 $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 $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 $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
The situation best represented by the equation 40w + 12.50 = 492.50 is:

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.

Therefore, the correct answer is the first option:

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.
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