Answer is 5
first you do 1 divided by 5 then you times by 25
Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is
, then the proportion of their area is
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:




Take positive square root as length cannot be negative:


Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
6x-4
Step-by-step explanation:
the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter
11x-7 = 4x+2 + x-5 + y
solve for y
11x-7 = 5x -3 + y
11x-4 = 5x + y
6x-4 = y