30 pints of first type and 130 pints of second type drinks must be used to make the mixture.
<em><u>Explanation</u></em>
Lets assume, the amount of first type drink is 
pints.
As the total amount of the mixture is 160 pints, so the amount of second type drink 
pints.
The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....
So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.
I find it easiest to subtract and add the percentages to make a multiplier, then use that.
After the man's discount, he pays (100% - 12%) = 88% of the list price. After tax, he pays (100% + 3%) = 103% of the discounted price.
The amount he actually pays is $255×0.88×1.03 = $231.13.
The best choice is ...
(B) $231.13
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Answer:
A
Step-by-step explanation:
A is a geometric sequence with common ratio - 1.
I would say the answer would be 105
