Answer:
He must study for at least 7.5 hours each week
Step-by-step explanation:
Here, we want to know the number of hours that Mr Smith must study each week
From the question, we are told that he must study a minimum of 60 hours total over the course of the 8 weeks
The number of hours he must study each week will be 60/8 = 7.5 minimum number of hours each week
This kinda sounds like system of equations to me. Let's use some variables. 'x' would be the fee for the regular selections. 'y' would be the fee for the discounted selections. Let's start making our equations :O. Here's Pat's order: 2x+4y=119.80. Here's Carlos' order: 3x+5y=160.75. Now, there are different ways of solving these variables such as using substitution, but I will use linear combinations method/elimination method to solve this. I will try to make one variable value the opposite of the other equation's variable. I can get 6x+10y=321.50 and -6x-12y=-359.4. I can eliminate the x now and only have variable y. -2y=-37.9. Dividing both sides gets me y=18.95. I can substitute the y value for y in any equation. so 2x+4(18.95)=119.80. 2x+75.8=119.80. 2x=44. 2x/2=44/2. x=22. Therefore, the fee for regular selections is 22 while the fee for discounted selections is 18.95. Hope you enjoyed this session of learning :3
<span>There’s a spinner with 8 sections in total with different colors. 2 red, 2 green, 2 yellow, and 2 blue.
To find the probability of the spinner landing on any color, simply take
(number of color)/(total)
To find the probability of landing on red, there are 2 reds, and 8 total. So,
2/8 = 1/4
To find the probability of landing on blue, there are 2 blues, and 8 total. So, 2/8 = 1/4. The same as before.
Flipping a coin gives a 50/50 or equal chance between two events. We should pick the answer that has only two events. That would be a true/false test since there are only two choices in this situation.</span>
Answer:
80 units
Step-by-step explanation:
KN = MN
9x - 5 = 7x + 7
2x = 12
x = 6
KM = 2KL
KM = 2(6x + 4)
KM = 12x + 8
KM = 12(6) + 8
KM = 80
