Answer:
60%
Step-by-step explanation:
percentage of men in the choir = (4/11) x 100 = 36.4%
percentage of women in the choir = (7/11) x 100 = 63.6%
Percentage of men in the choir that prefer classical songs = 36.4 x0.25 = 9.1%
Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%
percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%
Answer:
angle 5 is 61°
angle 7 is 61°
Step-by-step explanation:
1. angle 7 + angle 8 = 90° Because they are complementary angles
2. Because of point 1 above, angle 5 + angle 6 = 90°
3. since given angle 6 = 29°
so, angle 5 = 90° - 29° = 61°
4. since given angle 5 = angle 8
so, angle 8 = 61°
5. from point 1 above,
angle 7 + 61° = 90°
so angle 7 = 29°
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:
Now we know what <em>x</em> equals. Let's substitute this into the second equation:
We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:
Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
Yes rational numbers are equal to integers.
Answer:
See below.
Step-by-step explanation:
Let's look at the cost for members (C1) first. Let x be the number of visits.
C1(x) = 12 + 8x
For non-members (C2), we can do the same.
C2(x) = 10x
You can graph these two equations.
x C1 C2
0 12 0
1 20 10
2 28 20
3 36 30
4 44 40
5 52 50
6 60 60
7 68 70
Let's make the two equations equal, to find out where the benefit is the same.
12 + 8x = 10x
2x = 12
x = 6
Up to 5 visits, the non-member cost is better. At 6 visits, there's the same price. For more than 6 visits, the member cost is better.
