Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.
Step-by-step explanation:
Answer:
x = 7.5y
Step-by-step explanation:
Simplifying
4.2(2x + -0.5y) + -2(4.1x + -0.3y) = 0
(2x * 4.2 + -0.5y * 4.2) + -2(4.1x + -0.3y) = 0
(8.4x + -2.1y) + -2(4.1x + -0.3y) = 0
8.4x + -2.1y + (4.1x * -2 + -0.3y * -2) = 0
8.4x + -2.1y + (-8.2x + 0.6y) = 0
Reorder the terms:
8.4x + -8.2x + -2.1y + 0.6y = 0
Combine like terms: 8.4x + -8.2x = 0.2x
0.2x + -2.1y + 0.6y = 0
Combine like terms: -2.1y + 0.6y = -1.5y
0.2x + -1.5y = 0
Solving
0.2x + -1.5y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.5y' to each side of the equation.
0.2x + -1.5y + 1.5y = 0 + 1.5y
Combine like terms: -1.5y + 1.5y = 0.0
0.2x + 0.0 = 0 + 1.5y
0.2x = 0 + 1.5y
Remove the zero:
0.2x = 1.5y
Divide each side by '0.2'.
x = 7.5y
Simplifying
x = 7.5y
Answer:
area of triangle = 12 sq.in
Step-by-step explanation:
area of a triangle =
- 1/2 × base × height
- 1/2 × 4 × 6
- 2 × 6
- 12 sq.in
Answer: 803mm
Step-by-step explanation:
Answer:
Circumference of a circle = pi * diameter
Radius = half of diameter
Area of circle = 
, where r is the radius:
If they ran around the track 3 times, they would cover the circumference three times.
Convert to centimetres:
