We're measuring a quantity of pure detergent.
We start with 11 gallons of an 18% solution. 18% of that, or 1.98 gallons, is pure detergent, and the rest of these 11 gal. is water: 9.02 gal. We will add x gallons of water to this solution to obtain (11+x) gallons of a 12% solution.
We need to find x to satisfy this equation:
(11 gallons + x)(0.12) = (11 gallons)(0.18)
Div. both sides by 0.12, we get (11 gallons + x) = (11 gallons)(1.5)
Mult. both sides by 10, we get 110 gallons + 10x = (11 gallons)(15)
Then 10x = 165 gallons - 110 gallons, or 55 gallons.
Div. both sides by 10, we get x = 5.5 gallons (answer)
Answer:
the slope will be 8.5
Step-by-step explanation:
They each have 30 kids per class, How many classes are they teaching a day?
Answer:
it is greater for group B than group A
Answer:
Images are neither similar nor congruent.
Coordinates of (-3,2) when transformed are (-6, 8).
Step-by-step explanation:
In the transformation we are multiplying the coordinates by two different numbers (2 for x, 4 for y ); therefore the transformed figure can neither be similar nor congruent.
This is because a transformation that results in a congruent figure must of of the form
—this is just shifting the figure.
The transformation that results in a similar figure must be of the form
or
—this is just scaling the figure.
Since the transformation
is neither a congruent transformation nor a similar transformation ,the resulting figure in neither similar nor congruent.
The point (-3, 2) transforms to
