The answer is the first answer choice
Answer:
You would need 36 gallons of 65% sugar solution
Step-by-step explanation:
You can always solve these problems with a proportion
The numerator will represent the amount of sugar, the denominator will represent the amount of solution.
First, we have (.4 * 114 = ) 45.6 gallons of sugar.
![\frac{45.6 + 0.65S}{114 + S}=\frac{46}{100}\\\frac{4560 + 65S}{114+S}=46\\4560 + 65S = 46(114 + S)\\4560 + 65S = 5244 + 46S\\19S = 684\\S = 36](https://tex.z-dn.net/?f=%5Cfrac%7B45.6%20%2B%200.65S%7D%7B114%20%2B%20S%7D%3D%5Cfrac%7B46%7D%7B100%7D%5C%5C%5Cfrac%7B4560%20%2B%2065S%7D%7B114%2BS%7D%3D46%5C%5C4560%20%2B%2065S%20%3D%2046%28114%20%2B%20S%29%5C%5C4560%20%2B%2065S%20%3D%205244%20%2B%2046S%5C%5C19S%20%3D%20684%5C%5CS%20%3D%2036)
It is center point I think
Answer:
Subsitution
Step-by-step explanation:
We have the equations:
x=2y-1
3x+y=11
The 3 methods of solving systems of equations are:
graphing
substitution
addition/elimination
Graphing involves graphing the two equations and finding their point of intersection, which is the answer
Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers
Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before
Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.
Therefore, substitution is the best method to solve this graph.
hope this helps!
For this case, the first thing we must do is define variables.
We have then:
C: number of cans
B: number of bottles
We now write the expression that represents the total amount she receives:
0.10B + 0.05C
Answer:
The expression that represents the amount, in cents, that the center pays her is:
0.10B + 0.05C