Is (4, 1) a solution to this system of inequalities? x ≥ 4 x + 7y ≤ 11
2 answers:
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we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).
If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.
There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.
Now the volume of rectangular box would also be 630 cubic inches.
We know the formula for volume of rectangular box = length × width × height.
So we need to find any three positive integers whose product is 630.
Out of all given choices, only option A satisfies the condition of factors of 630.
Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.
Answer:
60 tiles.
Step-by-step explanation:
$15.00 per tile plus a flat fee of $378.00 that charges Tile All.
Therefore, for x number of tiles, the total cost of installation will be
C = 378 + 15x ........... (1)
Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.
Therefore, for x tiles installation the charges will be
.......... (2) (Answer)
Now, if for x number of tiles both the company charges the same, then
378 + 15x = 495 + 13.05x (From equations (1) and (2)}
⇒ 1.95x = 117
⇒ x = 60 tiles. (Answer)