Ratio of boys to girls = 1 : 3
Unknown constant = x
x + 3x = 24
4x = 24
x = 6
No. of girls = 3 x 6 = 18
<span>Krystal's rate = 1 floor in 16 min. = 1/16 floors per min.
Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min.
We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates.
Let Perry's time = x
In equation form, we can write:
1/16 + 1/x = 1/5.76
Solve for x:
(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9
So, Perry would take 9 mins. to do the floor alone.
I hope this helped!
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Answer:
Very good actually
Step-by-step explanation:
Because I ate CHICKEN NUGGETIES!!!!!
Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
Answer:
176 of 12% vinegar
44 of 7% vinegar
Step-by-step explanation:
Percentage vinegar required = 11%
Volume = 220 mL
First brand % = 7%
Second brand % = 12%
Let p = volume of 12% vinegar material
Mixture :
0.12p + 0.07(220 - p) = 220 * 0.11
0.12p + 15.4 - 0.07p = 24.2
0.05p = 8.8
p = 8.8 / 0.05
p = 176
176 of 12% vinegar and
220 - 176 = 44
44 of 7% vinegar
