<h2>
Answer:</h2>
This is a 2-step equation. We will solve it in 2 steps.
The solution for this equation is x =<em> </em>.
A + -5 = -12
A - 5 = -12
A = -7.
This is the solution.
Answer: The speed of the motorboat is 70 miles per hour
Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.
For example, at 2 hours, the distance shown on the graph is 175 miles
Subtract: 175 -35 = 140. Then divide 140/2 = 70
At 4 hours, the distance shown is 315 miles.
Subtract: 315 - 35 = 280. Then divide 280/4 = 70
70 mph is the speed.
24 is greater than 16. Or in mathematical terms 24 > 16
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.