Answer:
a = 6/5
b = 7/8
c = 1/5
Step-by-step explanation:
We want to make two of these equations be in terms of the same variable, so let's solve the first and third in terms of b.
5a-24b=-15 -> -3 + 24b/5 = a
48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c
Now we can replace the a and c in the second equation and solve for b.
10a+45c=21
10(-3+24b/5)+45(7/5 - 48b/35) = 21
-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8
Now we can plug b back into the other two to solve for a and c. I will leave that to you unless you would like the steps there.
Let S=score on the second exam, then
(67+S+(S+7))/3=84
cross multiply
2S+74=252
2S=178
S=89
So second exam: 89
third exam=89+7=96
Check: (67+89+96)/3=84 ok.
Answer:
Step-by-step explanation:
Travis and his his sister were born on the the same day but in different years. Travis is 14 years old, and his sister is 17 years old. This means the difference in their ages is
years.
Let s be Travis's sister age. Trevis is 3 years younger than his sister, so his age at any given point in time is
years.
Answer:
4
Step-by-step explanation:
H (height the 2x4 contact the fence)
sin 30° = H / 8
1 /2 = H / 8
H = 1/2 * 8 = 4
Answer:
this triangle is isosceles triangle. so there sides are equal.
and there opposite angles are equal.
angle CED=51°