Answer:
x = 22 (see explanation!)
Step-by-step explanation:
Just with any algebraic equation, you will want to isolate the variable (x). Here's a step-by-step to show you how it's done:
1/7(x + 6) = 4
Multiply by 7 to get rid of the 1/7 (since 7 * 1/7 = 7/7 = 1)
7*1/7(x+6) = 7*4
x+6 = 28
Now, subtract 6 from both sides to isolate x:
x + 6 - 6 = 28 - 6
Finally:
x = 22
Answer:
(0, 1)
Step-by-step explanation:
The point lies on the line x = 0.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(0, 1)
r = 7.53 so d = 2r = 2(7.53) = 15.06 cm
Area of square = d^2 / 2 = (15.06)^2 / 2 = 113.41 cm^2
Area of circle = 3.14 (7.53)^2 = 178.04 cm^2
Area of yellow region = Area of circle - Area of square
Area of yellow region = 178.04 cm^2 - 113.41 cm^2
Area of yellow region =64.63 cm^2 = 64.6 cm^2 (nearest tenth)
Answer
64.6 cm^2
The cost for each serving of soup is $0.62
<u>Step-by-step explanation:</u>
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
7/x = 5/y
Can be changed to:
5x = 7y
So, x = (7/5)y and
y = (5/7)x