Ok here's your system:
n+d=160
0.05n+0.10d=10.50
Steps:
I will try to solve your system of equations.
d+n=160;0.1d+0.05n=10.5
Step: Solved+n=160for d:
d+n+−n=160+−n(Add -n to both sides)
d=−n+160
Step: Substitute−n+160fordin0.1d+0.05n=10.5:
0.1d+0.05n=10.5
0.1(−n+160)+0.05n=10.5
−0.05n+16=10.5(Simplify both sides of the equation)
−0.05n+16+−16=10.5+−16(Add -16 to both sides)
−0.05n=−5.5
−0.05n−0.05=−5.5−0.05(Divide both sides by -0.05)
n=110
Step: Substitute110fornind=−n+160:
d=−n+160
d=−110+160
d=50(Simplify both sides of the equation)
Answer:
d=50 and n=110
so there are 110 nickels
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.
How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.
1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.
6C + 7S = $174
10C + 14S = $318
2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.
-12C - 14S = -$348
10C + 14S = $318
Combine like terms.
-2C = $30
Divide by -2 on both sides. The left side cancels out.
C = $30/-2
C = -$15 (In this case the negative doesn't matter)
C = $15 (cost of senior citizen ticket)
Plug the value of C into any of the two equations so we can get the value of S.
6($15) + 7S = $174
Distribute the 6 into the parenthesis.
$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.
7S = $84
Divide both sides by 7.
S = $12
Student ticket: $12
Senior citizen ticket: $15
Answer:
f(x)=2000-8x
Step-by-step explanation:
2000 is initial amount that gets subtracted
8x is the amount of gallons being siphoned out, where x is t, or minutes.
Factor the side effects of equivalent subtract 9 from both sides of the equivalent take the square root of both sides of the equation subtract 10 from both sides of the equation
Answer:
sorry I don't know about this....
Hlo sis...
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