Remark
What you can do is solve this system of equations
Let the 2 point questions = x
Let the -1 point questions = y
Let the 0 point questions = n
2x - y = 24
x + y + n = 20 So start by letting x = 14 (just a random number) Solve the first equation.
2x - y = 24
2*14 - y = 24
28 - y = 24 Subtract 28 from both sides.
- y = 24 - 28
- y = - 4
y = 4
Now use the second equation to solve for n
14 + 4 + n = 20
18 + n = 20
n = 20 - 18
n = 2
Answer 1
<em>x = 14</em>
<em>y = 4 </em>
<em>n = 2 Total 20.</em>
This time lets try x = 15 and solve for y
2*15 - y = 24
30 - y = 24
- y = - 6
y = 6
15 + 6 + n = 20 This obviously will not work. 15 right is too many to be this circumstance. n would have to be -1 and that isn't possible.
Try x = 13
2x - y = 24
2*13 - y = 24
26 - y = 24
-y = 24 - 26
-y = -2
y = 2
Now use the second equation.
x + y + n = 20
13 + 2 + n = 20
15 +n = 20
n= 5
So Answer 2 is
<em>x = 13</em>
<em>y = 2</em>
<em>n = 5 </em>
Answer:
0.43 miles
Step-by-step explanation:
Let t be the time it takes Achilles to run the race. Since Achilles runs at a speed of 13 mph, the distance he covers in time t is d = 13t.
Also, by the time Achilles finishes the race, the turtle has already covered a distance, d at a speed of 1 mph in the same time, t. So, d' = 1t = t
Given that when Achilles reaches the finish line, the turtle is 2/5 of a mile behind him, then d - d' = 2/5.
So, 13t - t = 2/5
12t = 2/5
t = 2/5 × 1/12
t = 1/5 × 1/6
t = 1/30 h
So since d = distance from start to finish = distance Achilles covers = 13t,
Substituting t = 1/30 into d, we have
d = 13t
= 13 × 1/30
= 0.43 miles
A reflection of horisontal
Answer:
-3.125
Step-by-step explanation:
multiply -3*8 to get -24/8 then add the numerator -1/8+-24/8 to get -25/8 then convert by dividing -25/-8 to get -3.125
