The top is 4ft by 2 ft, area = 4 * 2=8 square feet.
The back is 1 1/2 ft by 4 feet, area = 1.5 *4 = 6 square feet.
The bottom equals the top = 8 square feet.
The front equals the back = 6 square feet.
The left side is 1 1/2 ft by 2 ft = 2 * 1.5 = 3 square feet.
The right side equals the left side = 3 square feet.
Total area = 8 + 6 + 8 + 6 + 3 + 3 = 34 square feet
(a). The element a₂₁ is the number of boys enrolled in Lacrosse.
(b). The address is a₁₂.
(c). [196 174]
[136 169]
[214 242]
(d). The matrix represents the number of boys and girls from towns A and B enrolled in different sports classes.
(e). 1.125 A = [108 90 ]
[72 99 ]
[117 135]<span />
Answer:
f(x)=2x-1
Step-by-step explanation:
The output is f(x). The input is x.
The prompt says to multiply the input by 2, so 2x.
Then subtract 1 to get f(x).
Hope this helps!
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
