Answer:
10
Step-by-step explanation:
Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4
2 1/2 = 5/2
(5/2)/(1/4) = 20/2 = 10
Length times width (48) 48 convert to sq meters is around 4.45935
These are 3 questions and 3 answers.
Question 1.
Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions
Explanation:
1) Equation A

Replace x = -4 in the right side of the equation:

Which is not defined, so this is a extraneous solution.
2) Equation B.
Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.
Question 2.
Answer: cubing both sides once.
Explanation:
![\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B5x-2%7D%20-%5Csqrt%5B3%5D%7B4x%7D%20%3D0%5C%5C%20%5C%5C%20%20%5Csqrt%5B3%5D%7B5x-2%7D%20%3D%5Csqrt%5B3%5D%7B4x%7D%5C%5C%20%20%5C%5C%20%20%28%5Csqrt%5B3%5D%7B5x-2%7D%20%29%5E3%3D%28%5Csqrt%5B3%5D%7B4x%7D%29%5E3%5C%5C%20%20%5C%5C%20%205x-2%3D4x%5C%5C%20%5C%5C%20%205x-4x%3D2%5C%5C%20%5C%5C%20%20x%3D2%20)
3) Question 3.
Answer: c - 2 = 25 + c + 10√c
Explanation:

Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
The like terms are 1.3b and -3.2b because they both have the variable b attached to it so you may combine them
(1.3b + (-3.2b) ) + 7.8
-1.9b + 7.8
Hope this helped!
~Just a girl in love with Shawn Mendes