Answer:
B:0.2(48)
Step-by-step explanation:
Of means multiply
20% of 48
Changing to decimal form
.20 * 48
Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
He has 49 21-cent and 31-cent stamps all told.
let
x = number of 21 cent stamp
y = number of 31 cent stamp
Therefore,
<h3>Total number of stamp:</h3>
<h3>Total cost of stamp:</h3>
Therefore,
x + y = 49
21x + 31y = 1339
21x + 21y = 1029
10y = 310
y = 310 / 10
y = 31
Therefore,
x = 49 - 31
x = 18
Therefore, Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
learn more on system of equation: brainly.com/question/1369852?referrer=searchResults
Answer:
3 + 18m
Hope this helped again :)
Answer:
- y = 81-x
- the domain of P(x) is [0, 81]
- P is maximized at (x, y) = (54, 27)
Step-by-step explanation:
<u>Given</u>
- x plus y equals 81
- x and y are non-negative
<u>Find</u>
- P equals x squared y is maximized
<u>Solution</u>
a. Solve x plus y equals 81 for y.
y equals 81 minus x
__
b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.
P equals x squared left parenthesis 81 minus x right parenthesis
__
c. Find the domain of the function P found in part b.
left bracket 0 comma 81 right bracket
__
d. Find dP/dx. Solve the equation dP/dx = 0.
P = 81x² -x³
dP/dx = 162x -3x² = 3x(54 -x) = 0
The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...
P is maximized at (x, y) = (54, 27).
