4 p.m to 8 p.m is 4 hrs.....so she worked 4 regular hrs
8 p.m. to 1 a.m is 5 hrs...she she worked 5 hrs for 1.5 times as much
4x + 5(1.5x) = 92
4x + 7.5x = 92
11.5x = 92
x = 92 / 11.5
x = 8 <==== so she charged $ 8 per hr from 4 pm. to 8 pm. and (8 * 1.5) = $ 12 per hr for hrs after 8 p.m
Answer:
25 dimes & 12 nickels
Step-by-step explanation:
Let there be "n" nickels and "d" dimes
Total, there are 37 of them, so we can write:
n + d = 37
Also, valueof nickel is 0.05 and value of dime is 0.10 (in dollars) and total value of these 37 coins is 3.10, so we can write:
0.05n + 0.10d = 3.10
Now we can write first equation as:
n + d = 37
n = 37 - d
Replace this into equation 2 and solve for d:
0.05n + 0.10d = 3.10
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25/0.05
d = 25
Now, n = 37 - d, n = 37 - 25 = 12
So,
There are 25 dimes & 12 nickels
Answer:
x = 6
Step-by-step explanation:
3x - 1 = 17
add 1 to both sides:
3x = 18
divide by 3:
x = 6
