Answer:
11 and 7
Step-by-step explanation:
Perimeter is all of the sides added together
11+11+7+7=36
Area of a rectangle is length x width
7*11=77
The answers are 7 and 11 for the length and width
Whether which one is the width and which is the length depends on which side is the longest.
Answer:32
Step-by-step explanation: First you do 4×4×4×
=64 then you divide by 2.. 64÷2=32
I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53
Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11
Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794
Answer:
Gabby received
7 nickels
10 dimes
3 quarters
Step-by-step explanation:
Let
x----> the number of dimes
y----> the number of nickels
z---> the number of quarters
Remember that
1 dime=$0.10
1 nickel=$0.05
1 quarter=$0.25
we know that
0.10x+0.05y+0.25z=2.10 ------> equation A
x=y+3-----> equation B
z=y-4 -----> equation C
substitute equation B and equation C in equation A and solve for y
0.10(y+3)+0.05y+0.25(y-4)=2.10
0.10y+0.30+0.05y+0.25y-1=2.10
0.40y=2.10-0.30+1
0.40y=2.80
y=7 nickels
<em>Find the value of x</em>
x=y+3 -----> x=7+3=10 dimes
<em>Find the value of z</em>
z=y-4 -----> z=7-4=3 quarters
therefore
Gabby received
7 nickels
10 dimes
3 quarters
2 out of 10 chances
2/10 is 1/5
