To solve for m, divide both sides of the equation by -7:
−7m/(-7) = 42/(-7)
m = -6
Solve for m. −7m=42
33 answers
Solve for k.
k/−2 = −10
k/−2 = −10
To solve for k, we need to isolate the variable k.
To do this, we can multiply both sides of the equation by -2 since dividing by -2 and multiplying by -2 are inverse operations.
(k/−2) × -2 = −10 × -2
This simplifies to:
k = 20
Therefore, the solution for k is 20.
To do this, we can multiply both sides of the equation by -2 since dividing by -2 and multiplying by -2 are inverse operations.
(k/−2) × -2 = −10 × -2
This simplifies to:
k = 20
Therefore, the solution for k is 20.
Solve for y. 5y − 10 = −25
To solve for y, we need to isolate the variable y by performing operations that will cancel out the terms.
First, let's add 10 to both sides of the equation:
5y - 10 + 10 = -25 + 10
This simplifies to:
5y = -15
Next, we divide both sides of the equation by 5 to isolate y:
(5y)/5 = (-15)/5
This simplifies to:
y = -3
Therefore, the solution for y is -3.
First, let's add 10 to both sides of the equation:
5y - 10 + 10 = -25 + 10
This simplifies to:
5y = -15
Next, we divide both sides of the equation by 5 to isolate y:
(5y)/5 = (-15)/5
This simplifies to:
y = -3
Therefore, the solution for y is -3.
Solve for x. −3x+4=−8
To solve for x, we need to isolate the variable x by performing operations that will cancel out the terms.
First, let's subtract 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
This simplifies to:
-3x = -12
Next, we divide both sides of the equation by -3 to isolate x:
(-3x) / -3 = (-12) / -3
This simplifies to:
x = 4
Therefore, the solution for x is 4.
First, let's subtract 4 from both sides of the equation:
-3x + 4 - 4 = -8 - 4
This simplifies to:
-3x = -12
Next, we divide both sides of the equation by -3 to isolate x:
(-3x) / -3 = (-12) / -3
This simplifies to:
x = 4
Therefore, the solution for x is 4.
Solve for w. −0.1w+23.2=−0.8
To solve for w, we need to isolate the variable w by performing operations that will cancel out the terms.
First, let's subtract 23.2 from both sides of the equation:
-0.1w + 23.2 - 23.2 = -0.8 - 23.2
This simplifies to:
-0.1w = -24
Next, we divide both sides of the equation by -0.1 to isolate w:
(-0.1w) / -0.1 = (-24) / -0.1
This simplifies to:
w = 240
Therefore, the solution for w is 240.
First, let's subtract 23.2 from both sides of the equation:
-0.1w + 23.2 - 23.2 = -0.8 - 23.2
This simplifies to:
-0.1w = -24
Next, we divide both sides of the equation by -0.1 to isolate w:
(-0.1w) / -0.1 = (-24) / -0.1
This simplifies to:
w = 240
Therefore, the solution for w is 240.
What is the first operation used in solving this equation? m/10 − 12 = −24
The first operation used in solving the equation m/10 - 12 = -24 is to add 12 to both sides of the equation.
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?
Let's break down the information given:
Cody currently has 22 rare coins.
Each year, Clark plans to add 15 coins to his collection.
Cody wants to collect a total of 577 coins.
To find out how many years it will take for Cody to collect 577 coins, we can set up an equation. Let's represent the number of years as "x":
22 + 15x = 577
To solve for x, we need to isolate the variable by performing the necessary operations.
First, subtract 22 from both sides of the equation:
22 + 15x - 22 = 577 - 22
This simplifies to:
15x = 555
Next, divide both sides of the equation by 15:
(15x) / 15 = 555 / 15
This simplifies to:
x = 37
Therefore, it will take Cody 37 years to collect 577 coins.
Cody currently has 22 rare coins.
Each year, Clark plans to add 15 coins to his collection.
Cody wants to collect a total of 577 coins.
To find out how many years it will take for Cody to collect 577 coins, we can set up an equation. Let's represent the number of years as "x":
22 + 15x = 577
To solve for x, we need to isolate the variable by performing the necessary operations.
First, subtract 22 from both sides of the equation:
22 + 15x - 22 = 577 - 22
This simplifies to:
15x = 555
Next, divide both sides of the equation by 15:
(15x) / 15 = 555 / 15
This simplifies to:
x = 37
Therefore, it will take Cody 37 years to collect 577 coins.
Tom is given the equation 10x+15=20 to solve. He says the solution is 1/2 . Which reason justifies his solution?
To determine if Tom's solution of 1/2 is correct for the equation 10x + 15 = 20, we can substitute the value of x back into the equation to verify if it satisfies the equation.
Let's substitute x = 1/2 into the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since 20 = 20, the equation is satisfied, which means the solution x = 1/2 is correct.
The reason why Tom's solution is justified is that when we substitute x = 1/2 back into the equation, it results in a true statement.
Let's substitute x = 1/2 into the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since 20 = 20, the equation is satisfied, which means the solution x = 1/2 is correct.
The reason why Tom's solution is justified is that when we substitute x = 1/2 back into the equation, it results in a true statement.
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.
Tom's solution of 12 for the equation 10x + 15 = 20 is not correct. Let's examine the reasons given:
- Tom says that to solve the equation you first divide by 10 and then subtract 15. -> This reasoning is incorrect. To solve the equation, we need to subtract 15 first and then divide by 10.
- Tom says that to solve the equation you first subtract 15 and then multiply by 10. -> This reasoning is incorrect. We don't need to multiply by 10 in this equation.
- Tom says that to solve the equation you first add 15 and then divide by 10. -> This reasoning is incorrect. We need to subtract 15, not add.
- Tom says that to solve the equation you first subtract 15 and then divide by 10. -> This reasoning is correct. To solve this equation, we subtract 15 from both sides and then divide by 10.
Therefore, the reason that justifies Tom's solution of 12 is that he correctly stated the order of operations to solve the equation: first subtract 15 and then divide by 10. However, since 12 is not the correct solution to the equation 10x + 15 = 20, it means that Tom might have made a mistake in his calculation.
- Tom says that to solve the equation you first divide by 10 and then subtract 15. -> This reasoning is incorrect. To solve the equation, we need to subtract 15 first and then divide by 10.
- Tom says that to solve the equation you first subtract 15 and then multiply by 10. -> This reasoning is incorrect. We don't need to multiply by 10 in this equation.
- Tom says that to solve the equation you first add 15 and then divide by 10. -> This reasoning is incorrect. We need to subtract 15, not add.
- Tom says that to solve the equation you first subtract 15 and then divide by 10. -> This reasoning is correct. To solve this equation, we subtract 15 from both sides and then divide by 10.
Therefore, the reason that justifies Tom's solution of 12 is that he correctly stated the order of operations to solve the equation: first subtract 15 and then divide by 10. However, since 12 is not the correct solution to the equation 10x + 15 = 20, it means that Tom might have made a mistake in his calculation.
its not written as 12 its written as 1/2 which is my mistake. can you give me a new answer?
Certainly! If the solution is written as 1/2, we can verify if it satisfies the equation by substituting it back in.
Let's substitute x = 1/2 into the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since 20 = 20, the equation is satisfied. Therefore, the correct solution to the equation 10x + 15 = 20 is indeed x = 1/2.
Apologies for the confusion earlier. The reason that justifies Tom's solution of 1/2 is that when we substitute x = 1/2 back into the equation, it results in a true statement.
Let's substitute x = 1/2 into the equation:
10(1/2) + 15 = 20
5 + 15 = 20
20 = 20
Since 20 = 20, the equation is satisfied. Therefore, the correct solution to the equation 10x + 15 = 20 is indeed x = 1/2.
Apologies for the confusion earlier. The reason that justifies Tom's solution of 1/2 is that when we substitute x = 1/2 back into the equation, it results in a true statement.
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.
Tom's solution of 1/2 for the equation 10x + 15 = 20 is correct. The reason that justifies his solution is: Tom says that to solve the equation, you first subtract 15 from both sides and then divide by 10.
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?
To find out how much of the mystery substance (m) Dr. Burrows added to his experiment, we can solve the equation:
13.93 + m = 18.0
To isolate the variable 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 (m) to his experiment.
13.93 + m = 18.0
To isolate the variable 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 (m) to his experiment.
Five times what number plus 10 equals 20?
Let's represent the unknown number as "x".
The equation "Five times what number plus 10 equals 20" can be written as:
5x + 10 = 20
To solve for x, we need to isolate the variable by performing the necessary operations.
First, subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
This simplifies to:
5x = 10
Next, divide both sides of the equation by 5:
(5x) / 5 = 10 / 5
This simplifies to:
x = 2
Therefore, the solution is x = 2.
The equation "Five times what number plus 10 equals 20" can be written as:
5x + 10 = 20
To solve for x, we need to isolate the variable by performing the necessary operations.
First, subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
This simplifies to:
5x = 10
Next, divide both sides of the equation by 5:
(5x) / 5 = 10 / 5
This simplifies to:
x = 2
Therefore, the solution is x = 2.
Solve for z. z/5+3=2
To solve for z, we need to isolate the variable z by performing the necessary operations.
First, let's subtract 3 from both sides of the equation:
z/5 + 3 - 3 = 2 - 3
This simplifies to:
z/5 = -1
Next, to get rid of the fraction, we can multiply both sides of the equation by 5:
5 * (z/5) = -1 * 5
This simplifies to:
z = -5
Therefore, the solution for z is -5.
First, let's subtract 3 from both sides of the equation:
z/5 + 3 - 3 = 2 - 3
This simplifies to:
z/5 = -1
Next, to get rid of the fraction, we can multiply both sides of the equation by 5:
5 * (z/5) = -1 * 5
This simplifies to:
z = -5
Therefore, the solution for z is -5.
Find the solution to 4−2x=10
To find the solution to the equation 4 - 2x = 10, we need to isolate the variable x.
First, let's subtract 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 4 - 2x = 10 is x = -3.
First, let's subtract 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 4 - 2x = 10 is x = -3.
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?
To determine the number of dolls Mariah can buy, we can divide the amount she has to spend by the cost per doll.
Let's represent the number of dolls as "d".
The equation that represents this situation is:
4.50d = 75.00
To solve for d, we divide both sides of the equation by 4.50:
(4.50d) / 4.50 = 75.00 / 4.50
This simplifies to:
d = 16.67
However, since we cannot buy a fraction of a doll, Mariah can only buy a whole number of dolls. Therefore, she can buy a maximum of 16 dolls.
The equation that represents this situation is: 4.50d = 75.00
Let's represent the number of dolls as "d".
The equation that represents this situation is:
4.50d = 75.00
To solve for d, we divide both sides of the equation by 4.50:
(4.50d) / 4.50 = 75.00 / 4.50
This simplifies to:
d = 16.67
However, since we cannot buy a fraction of a doll, Mariah can only buy a whole number of dolls. Therefore, she can buy a maximum of 16 dolls.
The equation that represents this situation is: 4.50d = 75.00
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?
To find out how many stamps Jaylan has, we can set up an equation based on the given information.
Let's represent the number of stamps Jaylan has as "x".
The equation that represents the given situation is:
5x - 10 = 275
To solve for x, we need to isolate the variable by performing the necessary operations.
First, let's add 10 to both sides of the equation:
5x - 10 + 10 = 275 + 10
This simplifies to:
5x = 285
Next, divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 285 / 5
This simplifies to:
x = 57
Therefore, Jaylan has 57 stamps.
Let's represent the number of stamps Jaylan has as "x".
The equation that represents the given situation is:
5x - 10 = 275
To solve for x, we need to isolate the variable by performing the necessary operations.
First, let's add 10 to both sides of the equation:
5x - 10 + 10 = 275 + 10
This simplifies to:
5x = 285
Next, divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 285 / 5
This simplifies to:
x = 57
Therefore, Jaylan has 57 stamps.
14 answers