Let E represent English test and M represent Math test.
M + E = 164
+ <u>M - E = 22</u>
2M = 186 <em>eliminated E by adding the two equations</em>
M = 93 <em>divided both sides by 2</em>
Now, plug that value into either of the equations to solve for E.
M - E = 22 → 93 - E = 22 → -E = 22 - 93 → -E = -71 → E = 71
Answer: Math = 93, English = 71
Answer: 29 Hours of Work
Step-by-step explanation: Let's start by working backwards.. We know that Ken makes 5 dollars an hour, and he worked 40 hours. 5 * 40 = 200, and 400-200 = 200. This means that Kim has to work 200/7 hours, or (approximately) 29 hours of work.
Answer: P1: 17.61 P2: 14.66
Step-by-step explanation:
P1: take total divide by how many numbers used : 229 divided by 13 =17.61
P2: take total divide by how many numbers used : 88 divided by 6= 14.66
You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf
