40 students prefer vanilla. To get this answer you need to multiply 200 times 0.2 because you are trying to find 20%
2x + 5y = 2
-3x - y =-3
-3x - y = -3
y = 3x - 3
substitute y = 3x - 3 into the first equation.
2x + 5y = 2
2x + 5(3x - 3) = 2
2x + 15x - 15 = 2
17x - 15 = 2
solve for x in 17x - 15 = 2
17x - 15 = 2
17x = 2 + 15
17x = 17
x = 1
substitute x = 1 into y = 3x - 3
y = 3x - 3
y = 3(1) - 3
y = 3 - 3
y = 0
(1, 0) << the answer
hope this helped, God bless!
A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
erma4kov [3.2K]
Answer:
The area of the shaded region is 148.04 cm².
Step-by-step explanation:
It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.
The sides of the rectangle are:
l = 7 cm
b = 6 cm.
The radius of the circle is, r = 6 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04](https://tex.z-dn.net/?f=%3D%5B%5Ctext%7Bl%7D%5Ctimes%5Ctext%7Bb%7D%5D-%5B%5Cpi%5Ctest%7Br%7D%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B7%5Ctimes5%5D%2B%5B3.14%5Ctimes%206%5Ctimes%206%5D%5C%5C%5C%5C%3D35%2B113.04%5C%5C%5C%5C%3D148.04)
Thus, the area of the shaded region is 148.04 cm².
Answer:
.754
Step-by-step explanation:
Percentage is based off of 1 or 100% which is equal to 1. So 50% or half of both 100% and 1 would be translated as .5 and as the percentage becomes more accurate or lengthy you add to the decimal so 53% is .53 and 53.4% is .534
