Answer:
30%
Step-by-step explanation:
Before starting to solve this question we have to understand the following. 1% is equal to one hundredth of something whole, and can be write as 
.
Now in order to solve this question we will first have to find a fraction that represent how much student out of the whole class choose hamburgers. We can easily find this fraction since the numerator of the fraction will be equal to the number of people that choose hamburgers and the denominator will be equal to the number of all students in the class. So we get......
Now in order to find out what percentage will this fraction equal to we will have make a fraction with the same value but with a denominator being 100. To do that we will have to understand the following......
(m is any number except 0)
The main I idea of this rule is that if we multiply the numerator and the denominator by the same number (any number except 0) we will get a fraction with the same value but with a different denominator and numerator.
So in our case we we do the following.........
(multiply both numerator and the denominator by 10 and we get...)
Now if we go back to what I said at the start of my explanation we will understand that another way of writing down 
is 30%.
<u>Answer: </u>
Sum of the roots of the polynomial 
<u>Solution:</u>
The general form of cubic polynomial is 
---- (1)
If we have any cubic polynomial having roots 
Sum of roots 
= 
---(2)
From question given that,
--- (3)
On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12
Hence the sum of roots using eqn 2 is given as,
= 
= -2
Hence the sum of the roots of the polynomial
Answer:
∠?=40°
Step-by-step explanation:
Remember that in a line AND a triangle there are <u>180 degree</u>s.
You correctly found the third angle in the left triangle to be 69°, Now plug it into the equation for a line, including 71°:
<u>69°+71°+x=180°</u>
1) Combine the degrees:
140°+x=180°
2) Subtract 140° from both sides:
x=40°
We have now found the bottom left angle for the triangle on the right to be 40°
To find the angle labeled "?" You must plug in all of the known angles of the triangle to be equal to 180°:
40°+100°+x=180°
1) Combine the degrees:
140°+x=180°
2) Subtract 140 from both sides:
∠?=40°
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:Kyle’s claim is not reasonable
Step-by-step explanation:
Total length of the string of the necklace that Kyle covered with black beads is 5/8.
Total length of the string of the necklace that Kyle covered with white beads is 1/4.
Total length of the string of the necklace that Kyle covered with black beads and white beads is would be
1/4 + 5/8 = 7/8 = 0.875
Kyle thought that he will cover 6/12 of the string with beads. 6/12 = 0.5
It means that he covered more than 6/12. Kyle's claim was wrong
