a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
Let k be the scale factor relating two similar prisms
and
, such that for corresponding parts of prisms
and
(for heights, in particular) we have
. In our case
.
For surfaces area we have
.
So, the right answer is 4:25 (choice B)
The range of y=e^x+1 is y>1.
Since both of the numbers have a variable which is x ready to be multiplied, there is no expression leading to the variable therefore you will add normally but you will need to put the missing variable which needs to be multiplied. So overall you can just add and once you get your variable you can be abe to multiply and get your final answer.
Hope this helps
since numbers and letters can be repeated it should be
26 x 26 x 26 x 10 x 10 x 10 x10 = 175,760,000
