The ratio is 4/5 girls to boys. if there are 60 girls you would divide 60 by 4 and get 15. you would then multiply that 15 by 5 to get the number of boys in the choir. your answer would be 75 because 15x5=75. there are 75 boys in the choir
Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
= 
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,

Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Answer:
The value that will create an equation with no solutions is 5x.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.
To create a no solution equation, we can need to create a mathematical statement that is always false. To do this, we need the variables on both sides of the equation to cancel each other out and have the remaining values to not be equal.
Use distributive property on the left side first.
![3(x - 4) = [blank] - 2x +7\\\\3x-12=5x - 2x +7\\\\3x-12=3x+7\\\\3x-12+12=3x+7+12\\\\3x=3x+19\\\\3x-3x=3x+19-3x\\\\0=19](https://tex.z-dn.net/?f=3%28x%20-%204%29%20%3D%20%5Bblank%5D%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D5x%20-%202x%20%2B7%5C%5C%5C%5C3x-12%3D3x%2B7%5C%5C%5C%5C3x-12%2B12%3D3x%2B7%2B12%5C%5C%5C%5C3x%3D3x%2B19%5C%5C%5C%5C3x-3x%3D3x%2B19-3x%5C%5C%5C%5C0%3D19)
Notice that we combined like terms first and then eliminated the variable from one side. When that happened, the variable on the other side was eliminated as well, giving us a false result.
Since zero does not equal nineteen, we know we have an equation with no solution.
Answer:
step 1. y - y1 = m(x - x1). this is the equation given a point and a slope.
step 2. find the slope m. m = (y2 - y1)/(x2 - x1) = (4 - (-4))/(0 - 2) = 8/-2 = -4.
step 3. y - (-4) = -4(x - 2) ; y + 4 = -4x + 8.
step 4. y = -4x + 4.
Answer:
See Below
Step-by-step explanation:
1) Rational AND Integer
2) Irrational
3) Whole Number
4) Natural Number
Hope this helps!