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 says that to solve the equation you first subtract 15 and then divide by 10.
The correct reason that justifies Tom's solution is: Tom says that to solve the equation you first subtract 15 and then divide by 10.
The correct reason that justifies Tom's solution of 1/2 is that he says to solve the equation, you first subtract 15 and then divide by 10. To confirm if his solution is correct, let's follow his reasoning.
Starting with the equation:
10x + 15 = 20
Subtracting 15 from both sides of the equation, we have:
10x = 20 - 15
10x = 5
Now, to isolate x, we divide both sides of the equation by 10:
x = 5/10
x = 1/2
Therefore, Tom's solution of x = 1/2 is correct.
Question
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)
Responses
5.17
5.17
5.07
5.07
4.07
4.07
4.17
To find out how much of the mystery substance (m) Dr. Burrows added to his experiment, we can follow the given equation:
13.93 + m = 18.0
To isolate the variable m, we subtract 13.93 from both sides of the equation:
m = 18.0 - 13.93
m = 4.07
Therefore, Dr. Burrows added 4.07 of the mystery substance (m) to his experiment. The correct response is 4.07.
Five times what number plus 10 equals 20?(1 point)
Responses
-6
-6
4
4
6
6
2
To solve the equation "Five times what number plus 10 equals 20," we can use algebraic equations.
Let's represent the unknown number as x.
The equation can be written as: 5x + 10 = 20
To isolate x, we can subtract 10 from both sides of the equation:
5x + 10 - 10 = 20 - 10
5x = 10
To solve for x, we divide both sides of the equation by 5:
5x/5 = 10/5
x = 2
Therefore, the correct response is x = 2.
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=4.5
75 d is equal to 4 point 5
d+4.5=75
To find out how many 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, and the cost of each doll as $4.50.
The equation representing this situation is: 4.50d = 75.00
This equation states that the cost of each doll multiplied by the number of dolls purchased should be equal to the total amount of money Mariah has.
Therefore, the correct response is: 4.50d = 75.00