1. Let the shorter piece be x in. long
the longer piece will be x + 13 in. long
and the two pieces add up to be 47 in., so
x + ( x + 13 ) = 47
2x = 47 - 13
2x = 34
x = 17
the longer piece is x + 13 in. long,, or 17 + 13 = 30 in. long
2. number of dimes: x
number of quarters: y
x + y = 27....(1)
10x + 25y = 405...(2)
(1)*10: 10x + 10y = 270....(3)
(2) - (3):15y = 135
y = 9
plug y = 9 into (1), you will find that x = 18
so 18 dimes, 9 quarters
Answer:
True
Step-by-step explanation:
Itis true because you don't have an equal sign. Expressions don't have an equal sign, equations have an equal sign.
Answer:
0.8
Step-by-step explanation:
Mutually exclusive:
P(G U H) = P(G) + P(H)
Because no intersection
P(G U H) = 0.5 + 0.3 = 0.8
Answer:
900000000
Step-by-step explanation:
Hi!
(l = Lenny
m = Max)
Lenny is 3 times as old as Max.
3m = l
When you subtract Max's age from Lenny's age, you get 24.
L - m = 24
Put in the value of l.
3m - m = 24
There is our equation.
Now solve
2m = 24
2m/2 = 24/2
m = 12
3 * 12 = l
36 = l
The equation is 3m - m = 24
Max is 12 and Lenny is 36.
Hope this helps! :)
-Peredhel