Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
Answer:
<u>Given equations</u>: y = 3x² + x - 6; y = x - 4
So, Plug the value of value of y in other equation
- 3x² + x - 6 = x - 4
- 3x² + x - x - 6 + 4 = 0
- 3x² - 2 = 0
- 3x² = 2
- x² = 2/3
- x = √2/3
1 in 2. Each flip is independent of each other, so whether it is the 1st flip or 5th or 100th, the probability of getting tails on any one flip is 50%
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Linear means that the y values go up in a fixed increment, k.
In the first one, you see that 3+4=7, 7+4=11, and so on, so you can immediately tell that it's linear.
The second one goes 3+5=8, then 8+7=15, then 15+6=21, which aren't the same numbers.
The third increases and decreases, so it's not linear.
The fourth goes 3+6=9, then 9+18=27, which you can immediately tell is not linear.
Therefore, the only linear table would be the first one.
