Answer:
Domain = all real numbers (-∞,+∞)
range = [0 , + infinity)
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
There is a supply of 20% saline solution and a supply of 50% saline solution.
If a teacher wants to mix together to get 60 ml of 28% saline solution for an experiment.
We will use "Mixture Allegation" to find the quantity of each solution:
Ist type of solution II nd type of solution
20% 50%
28%
--------------------------------------------------------------------------------------
50%-28% : 28%-20%
22% : 8%
11 : 4
Since there is total quantity of 60 ml of solution.
So, Quantity of 20% solution in the mixture is given by

Quantity of 50% solution in the mixture is given by

Hence, there is 44 ml of the 20% solution and 16 ml of the 50% solution.
Therefore, Option 'B' is correct.
Answer: 6 cups of ketchup per cup of mustard
Step-by-step explanation:
Given : The recipe calls for 3 cups of ketchup for every
cup of mustard.
That means , for
cup of mustard. we need 3 cups of ketchup.
By using proportions, if we multiply 2 on both sides ,we get
for
cup of mustard. we need
cups of ketchup.
⇒ for
cup of mustard. we need
cups of ketchup.
Hence, the required rate = 6 cups of ketchup per cup of mustard
Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.