A] Given that the number of the unknowns are two, that is, x which represents the amount of the 20% blend and y which represents the amount of 80% blend, the system that models this situation is simultaneous equation.
b] The solution to the equation will be as follows;
Total amount of coffee to be made is:
x+y=5.........i
The percentage amount will be:
0.2x+0.8y=0.6*5
0.2x+0.8y=3.......ii
from eqn i
y=5-x.......iii
substituting iii in ii we get
0.2x+0.8(5-x)=3
0.2x+4-0.8x=3
solving for x we get:
0.2x-0.8x=3-4
-0.6x=-1
thus
x=1/0.6
x=5/3
y=5-x
y=5-5/3=10/3
thus the amount of x mixed is 5/3 lb and that of y is 10/3 lb
Answer:
Step-by-step explanation:
Given diameter (d) = 13 m
circumference
= π * d
= 3.14 * 13
= 40.82 m
Answer:
and 
Step-by-step explanation:
Note that if 
then 
Functions 
do not have vertical asymptotes at all.
Vertical asymptotes have functions 
Functions 
and 
have the same vertical asymptotes (when 
).
Functions and have the same vertical asymptotes (when 
). See attached diagram
Answer:
858 thousand pounds
Step-by-step explanation:
The first field has an area of 16 acres; the second has an area "1 1/4 times bigger".
Most people will interpret that incorrectly, saying the area of the second field is 16 time 1 1/4, which is 20. But the grammatically correct interpretation of "1 1/4 times bigger" is the size of the first field, plus 1 1/4 more times the size of the first field.
So the size of the second field in acres is 16+%2B+1.25%2A16+=+36
So the first field has an area of 16 acres and the second has an area of 36 acres.
The first field yields 37.5 thousand pounds of wheat per acre. The total amount of wheat from the first field is 16%2A37500+=+600000
The yield from the second filed is 1 2/15 times as much per acre as the first field. The yield in pounds per acre for the second field is 37500%2A%2817%2F15%29+=+40500.
So the total amount of wheat from the second field is 36%2A40500+=+1458000
The difference in the total yield from the two fields is 1458000-600000+=+858000
The second field yielded 858 thousand pounds more of wheat.
