Answer:
19.6875
Step-by-step explanation:
There are 74.227 milliliters of acid in the solution.
Explanation:
- The total amount of liquid is 373 milliliters. This is both the acid and water combined i.e amount of liquid + amount of acid = 373 milliliters
- If 19.9% of this is acid it means 19.9% of the the entire 373 milliliters is acid. So we calculate how much 19.9% of 373 milliliters is.
- 19.9% of 373 milliliters = 0.199 × 373 = 74.227 milliliters. So 74.227 milliliters of the entire solution is acid.
Answer:
-16
Step-by-step explanation:
Represent the number by n.
Then:
8(n + 18) = 16
Performing the indicated multiplication, we get:
8n + 144 = 16
Subtracting 144 from both sides results in 8n = -128.
Dividing both sides by 8: n = -128/8 = -16
The number was -16.
Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
