Answer:
4/13 cups per person
Step - by - step explanation:
Write the given rate as a fraction in simplest form. 12 cups for every 39 people
O 39/12 cups per person
O 13/4 cups per person
0 4/13 cups per person
O 12/39 cups per person
There are 39 people
12 cups are available
Determine the number of cups per person
Cups per person = 12 cups / 39 people
= 12/39 cups per person
Divide both numerator and denominator by 3
= 4/13 cups per person
Cups per person as a fraction in simplest form = 4/13 cups per person
Answer:
y = (x +2)(x -1)(x -3)
Step-by-step explanation:
For each x-intercept (r) the corresponding factor is (x -r). For x-intercepts -2, 1, 3, the factors are ... (x+2), (x-1), (x-3). Then the equation is ...
y = (x +2)(x -1)(x -3)
8x² - 4 = 28
8x² = 28 + 4
8x² = 32
x² = 32/8
x² = 4
x = <span>±2
</span>
Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :
z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°
