Answer: $2250
Step-by-step explanation:
<u>Given information</u>
Dimension of the room = 20 feet × 15 feet
Cost of tiles = $7.50 / ft²
<u>Derived formula from the given information</u>
Total cost = Floor area × Cost of tiles
<u>Substitute values into the formula</u>
Total cost = Floor area × Cost of tiles
Total cost = (20 × 15) × (7.5)
<u>Simplify by multiplication</u>
Total cost = 300 × (7.5)

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Answer:
Step-by-step explanation:
(2x + 1)(ax + b) = 6x² - 5x + c
Expand the left side and put that half into standard form:
2ax² + 2bx + ax + b = 6x² - 5x + c
2ax² + (2b + a)x + b = 6x² - 5x + c
So now look at the x terms. We have "2a" x² on left and 6 x² on right, so:
2a = 6
a = 3
Then look at the x terms, those coefficients will then be equal:
2b + a = -5
2b + 3 = -5
2b = -8
b = -4
and finally, then non-x terms are equal:
b = c
-4 = c
so:
a = 3, b = -4, c = -4
Answer:
2 29/30
Step-by-step explanation:
The slope is 5/1 and the y-intercept is -3
Okay. The x-axis is the time and the y-axis is the amount filled. If you look at the line, you see that less than 1 box is filled per minute. Therefore, B is out. A is also out as well, because those amounts would mean the line would be steeper and hit a number higher than 1 at the one minute mark. But, you do see that 3 boxes are filled every 4 minutes, especially with 6 at the 8 minute mark and 9 at the 12 minute mark. When you divide 3 by 4, that's a unit rate of 0.75 boxes filled per minute. Therefore, the answers are C and D.