Answer:
2/3 is larger
Step-by-step explanation:
3/5 x 3/3 = 9/15
2/3 x 5/5 = 10/15
There are 17 members who are only in gymnastics, 7 who are only in chess, and 3 who are in both.
17+3+7=27
800-27=773
Let's call job one x.
Job two can be y.
Jason earned $3,700 more from job y than x. Therefore y = x + 3700
From the two jobs, Jason earned $15,900. This can be written as x + y = 15900.
Now substitute y for x + 3700:
x + x + 3700 = 15900
2x + 3700 = 15900
Subtract 3700 from both sides:
2x = 12200
Divide both sides by 2:
x = 6100
Take the original equation x + y = 15900 and substitute x with 6100:
6100 + y = 15900
y = 9800
Job one (x) paid Jason $6,100.
Job two (y) paid Jason $9,800.
Answer:
d. 112°
Step-by-step explanation:
m<A = 64° (given)
m<ABC = 180° - 132° (linear pair)
m<ABC = 48°
According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.
48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.
Therefore,
x = 48 + 64
x = 112°
Answer: 5/11
Tip:
You can solve for these repeating fractions by putting the repeating digits over 9's!
For example, 0.33 repeating:
33/99 = 1/3
And in the case of your problem:
0.454545...
45/99 = 5/11 (simplify!)