Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
The vertices are (-16,-5) and (14,-5)
The foci are (-26,-5) and (24,-5)
Please, see the attached file.
Thanks.
Answer:
B. He used the wrong expression to represent the area of the base of the pyramid.
Step-by-step explanation:
Given
See attachment for pyramid

Required
Vikram's error
The surface area of a square pyramid is:

Where




So:


By comparing the calculated expression with

Option (b) is correct
Answer:
A:38 c:54
Step-by-step explanation:
First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.
For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.
Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.