<h2>Greetings!</h2>
A)
<h3>If you can see, every 4 minutes the amount of water is increasing at a constant rate. </h3>
197 - 153 = 44
285 - 241 = 44
<h3>This means that at 8 minutes, because there is 153 gallons already in, we can divide 8 by 4 to see how many groups of 4 minutes there were. </h3>
8 ÷ 4 = 2
So then we can subtract two lots of 44 from 153:
153 - (44 x 2) = 65
<h3>So the starting amount was 65.</h3>
B)
<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>
The amount of gallons per minute can be found out by dividing the amount by 4:
44 ÷ 4 = 11
<h3>So it is 11 gallons per minute.</h3>
<h2>Hope this helps!</h2>
Answer: To find area of a rectangle, multiply its base (length) by its height (width). Plug in the base, 7 meters, and the height, 8 meters. So the area of Rectangle DFBE is 56 square meters.
88m
HOPE THIS HELPS
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For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.
For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) = 6x^2 -4x - 80.
For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.
Answer:
$1.5 and $8.75
Step-by-step explanation:
Given data
let tables be x and chairs be y
The total cost to rent 3 chairs and 2 tables is $22
so
3x+2y=22----------1
The total cost to rent 5 chairs and 6 tables is $60
so
5x+6y=60---------2
the system of equation is
3x+2y=22----------1X 6
5x+6y=60---------2X 2
18x+12y= 132
- 10x+12y=120
8x+0y= 12
8x= 12
divide both sides by 8
x= 12/8
x=$1.5
put x= 1.5 in 2
5(1.5)+6y=60---------2
7.5+6y=60
6y=60-7.5
6y=52.5
divide both sides by 6
y= 52.5/6
y=$8.75