Answer:
About 17 weeks
Step-by-step explanation:
Given
Ryan:
<em />
<em> (weekly)</em>
Sarah:
(weekly)
Required
Determine the number of weeks they have the same cards
Represent the number of weeks with w:
For Both individuals, number of card at any given week is:
So,
For Ryan, the expression is:
For Sarah, the expression is:
To determine the number of weeks, we have to equate both equations:
Collect Like Terms
Solve for w
16.6 implies about 17 weeks, because 16.6 approximates to 17
<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>
The answer is $911.68.
After a little research on the internet, I found the design of the window.
First, you need to find the area of the window which is a composite figure made up of a rectangle and a circle. So, the total area (A) is the sum of the area of the rectangle (A1) and the area of the circle (A2).
Area of the rectangle with length l and width w is:
A = l * w
According to the image, l = 5 ft and w = 4 ft.
A1 = 5 * 4 = 20 ft²
Area of the circle with radius r is:
A = r²π
According to the image, r = 2 ft.
A2 = 2² * 3.14 = 12.56 ft²
The area of the window is:
A = A1 + A = 20 ft² + 12.56 ft² = 32.56 ft²
<span>The glass costs $28 per square foot, so to replace the glass will cost:
</span>32.56 ft² * $28/ft² = $911.68
Answer:
X=8
Step-by-step explanation:
Cross multiply:
4 * 6 = x * 3
Simplifying
4 * 6 = x * 3
Multiply 4 * 6
24 = x * 3
Reorder the terms for easier multiplication:
24 = 3x
Solving
24 = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
24 + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
24 + -3x = 0
Add '-24' to each side of the equation.
24 + -24 + -3x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -3x = 0 + -24
-3x = 0 + -24
Combine like terms: 0 + -24 = -24
-3x = -24
Divide each side by '-3'.
x = 8
Simplifying
x = 8
Range show how low and high the data is and thus shows the variability.
