Answer:
Area = 84 in²
Step-by-step explanation:
In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:
P = 2W + 2L or 40 = 2W + 2(3W - 4)
The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.
Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8
Combine like terms: 40 = 8W - 8
Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W
Divide both sides by '8': 48/8 = 8W/8 or 6 = W
Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14
Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².
For any arithmetic sequence aₙ₊₁ = aₙ + d
912, 864, 816, 768, 720
864 - 912 = -48 = d
so the next three terms:
720 + (-48) = 672
672 + (-48) = 624
624 + (-48) = 576
670, 620, 570 ⇒ 620 - 670 = -50 = d
so the next three terms:
570 + (-50) = 520
520 + (-50) = 470
470 + (-50) = 420
620, 520, 420 ⇒ 520 - 620 = -100 = d
so the next three terms:
420 + (-100) = 320
320 + (-100) = 220
220 + (-100) = 120
672, 624, 576 ⇒ 624 - 672 = -48 = d
so the next three terms:
576 + (-48) = 528
528 + (-48) = 480
480 + (-48) = 432
675, 630, 585 ⇒ 630 - 675 = -45 = d
so the next three terms:
585 + (-45) = 540
540 + (-45) = 495
495 + (-45) = 450
Answer:
50 percent for each side
Step-by-step explanation:
Answer: No
Step-by-step explanation:
The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.
3(4x+2) = 6(2x+2)
12x + 6 = 12x+2
6 = 12?? No
They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)
Since 6 gallons flow in 1 minute
Then 70 gallons will flow in ;
70 * 1/6. = 11.7 minutes
It will takes 11.7 minutes to fill the water trough