Solve for w.
−0.1w+23.2=−0.8
(1 point)
Responses
-224
-224
-240
-240
240
240
224
To solve for w in the equation -0.1w + 23.2 = -0.8, we first subtract 23.2 from both sides of the equation:
-0.1w = -0.8 - 23.2
-0.1w = -24
Next, we divide both sides of the equation by -0.1:
w = (-24) / (-0.1)
Simplifying the right side of the equation:
w = 240
Therefore, the solution for w is 240.
To solve for w, we will isolate the variable w on one side of the equation.
−0.1w + 23.2 = −0.8
First, let's get rid of the constant term on the left side 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
Next, we want to isolate the term containing w. We can do this by dividing both sides of the equation by −0.1:
(−0.1w)/−0.1 = −24/−0.1
This simplifies to:
w = 240
Therefore, the solution to the equation is w = 240.
What is the first operation used in solving this equation?
m/10−12=−24
(1 point)
Responses
subtraction
subtraction
multiplication
multiplication
addition
addition
division
division
The first operation used in solving the equation m/10 - 12 = -24 is subtraction.
To solve for w in the equation −0.1w + 23.2 = −0.8, we need to isolate the variable w on one side of the equation.
First, let's get rid of the constant term 23.2 by subtracting it from both sides of the equation:
−0.1w + 23.2 - 23.2 = −0.8 - 23.2
Simplifying, we have:
−0.1w = −24
Next, we want to isolate w, so we need to get rid of the coefficient −0.1. We can do this by dividing both sides of the equation by −0.1:
(−0.1w)/−0.1 = (−24)/−0.1
This simplifies to:
w = 240
Therefore, the solution for w is 240.
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?(1 point)
Responses
40 years
40 years
37 years
37 years
27 years
27 years
25 years
To find out how many years it will take Cody to collect 577 coins, we need to set up an equation.
Let's represent the number of years by y.
Each year, Cody adds 15 coins to his collection. So, the number of coins he will have after y years is 22 + 15y.
We want this number to be equal to 577, so we can set up the equation:
22 + 15y = 577
Now we can solve for y.
Subtracting 22 from both sides of the equation:
15y = 577 - 22
15y = 555
Dividing both sides of the equation by 15:
y = 555 / 15
y = 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 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 is justified because he correctly follows the order of operations to solve the equation.
The equation is 10x + 15 = 20.
To isolate the variable x, we first need to subtract 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
This simplifies to:
10x = 5
Next, we divide both sides of the equation by 10 to solve for x:
(10x)/10 = 5/10
This simplifies to:
x = 1/2
Therefore, Tom's solution of x = 1/2 (or x = 0.5) is correct, and he followed the correct steps of subtracting 15 first and then dividing 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?(1 point)
Responses
5.17
5.17
5.07
5.07
4.07
4.07
4.17