How many square feet of outdoor carpet will we need for this hole?
2 answers:
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9514 1404 393
Answer:
(x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second.
5x +4/y = 7
4/y = 7 -5x
4/(7 -5x) = y
Then the second equation becomes ...
4x +x/(4/(7 -5x)) = 5
4x +x(7 -5x)/4 = 5
16x +7x -5x^2 = 20 . . . . . multiply by 4
5x^2 -23x +20 = 0 . . . . . put in standard form
We can use the quadratic formula to solve this.
x = (23±√((-23)² -4(5)(20)))/(2(5)) = (23±√129)/10
x = 2.3 ±√1.29 ≈ {1.1642, 3.4358}
y = 4/(7 -5x) = {3.3930, -0.39297}
Solutions are (x, y) ≈ (1.1642, 3.3930) and (3.4358, -0.39297).
Answer:
I can make maximum 48 bouquets with 9 carnations and 4 rose in each of them.
Step-by-step explanation:
I have 432 carnations and 192 rose I have to make bouquets with the same number and no flowers can be left.
Now, the prime factors of 432 are 2, 2, 2, 2, 3, 3, 3. And the prime factors of 192 are 2, 2, 2, 2, 2, 2, 3.
Therefore, the largest common factor of 432 and 192 is 2 × 2 × 2 × 2 × 3 = 48.
Therefore, I can make maximum 48 bouquets with carnations and
rose in each of them. (Answer)