Answer:
The correct answer is 333 1/ 3 ml 30% solution and 166 2/ 3 ml of 45% solution.
step-by-step explanation:
Set up 2 equations. Let x be the 30% solution and y be the 45% solution. Then you have x + y =500 and .3x +.45y = .35*500. Then solve the system.
Answer:
Step-by-step explanation:
Given
Required
The equivalent expression (see attachment)
We have:
Split
Apply the following laws of indices
So, we have:
<em>Hence (d) is correct</em>
Answer:
Lateral Surface Area: 56 in²
Total Surface Area: 81 in²
Step-by-step explanation:
To find the lateral surface area, all we need to do is find the surface area for one of the lateral faces and then multiply it by 4.
Now the area of all the lateral faces:
14*4=56
The total surface area is the lateral area plus the base.
56+(5*5)=56+25=81
Answer:
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
Step-by-step explanation:
Which is more economical?
Whichever situation has the lowest price per kilogram.
3 kilograms for $3.15
3.15/3 = $1.05 per kilogram.
720 grams for 60c
0.6/0.72 = $0.83 per kilogram.
Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.
The first two are given to you, and . Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.
Since the <em>n</em>-th Lucas number is the sum of the previous two Lucas numbers, you have