Answer:
Jewelry box: 1/6 yard
Step-by-step explanation:
4/5 (not 4\5) of her 5/6 yard goes into a dress: (4/5)(5/6 yd) = 2/3 yard.
This is the same as 4/6 yard. The amount of lace remaining, to be used on a jewelry box, is 5/6 - 4/6, or 1/6 yard.
Step-by-step explanation:
I'm not sure where a is supposed to be in this equation, but I'm going to assume it's supposed to be written as either 3a x 4b = 54, or 304b = 54a. If it's something else, let me know, but I'll just answer these two for now.
1. 3a x 4b
So we know that b is equal to 9. Therefore, we can rewrite

as

To get rid of a multiplier on one side, divide both sides by the number you want gone. I'll use 4(9), which equals 36.

Then we can divide by 3 to get

0.5 isn't a viable answer, so I'll try the second interpretation.
2. 304b = 54a
This one is a bit easier. All we need to do is divide both sides by 54 to get

304 x 9 = 2736
2736/54 = 50.66...
Again, not a viable answer. Please edit your question to include a and I'll give it another shot!
Answer: 24
step by step explanation:
divide 360 by 15
Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).