Answer:
She can buy no more than 22 decorations
Step-by-step explanation:
The costs for the party are food and decorations
Cost = food + decorations * costs per decoration
We can spend no more than 300
Food is 75
Decorations are 10 each
Let d= the number of decorations
300 >= 75 + 10 * d
Subtract 75 from each side
300-75 >= 75-75 + 10 * d
225 >= 10d
Divide each side by 10
225/10 >=10d/10
22.5 >=d
She can buy no more than 22 decorations
Answer:
8n³ + 4
Step-by-step explanation:
I hate rounding.
Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.
According to the problem we have a length x-4 and a width x-5 and an area
82 = (x-4)(x-5)
82 = x^2 - 9x + 20
0 = x^2 - 9x - 62
That one doesn't seem to factor so we go to the quadratic formula
Only the positive value makes any sense for this problem, so we conclude
That's the exact answer. Did I mention I hate rounding? That's about
x = 13.6 meters
Answer: 13.6
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It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies
which works out to
That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.