To get the *percent increase* from week 1 to week 2, we calculate the change in distance from week 1 to week 2 (13.5 - 12.5 = 1 mile) over the week 1 distance (12.5 miles). Doing that, we find that Matthew increased his distance by
1/12.5 = 0.08, or 8%
We’re given that he’ll increase his distance by the same percentage from week 2 to 3, so to find his week 3 distance, we can find 8% of the week 2 distance and add that on. 8% of 13.5 miles is 0.08 x 13.5 = 1.08 miles, so by week 3, he’ll be running 13.5 + 1.08 = 14.58 miles.
Let x be the number of weeks; therefore, the two linear equations are
Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then
Thus, substitute the value of x=3 into the first equation,
Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
Area of Frame and Picture
Area = L * W
L = 9
W = 6
Area = 9*6 = 54 in²
Area of Picture
Area = L*W
L = 6
W = 4
Area = 6 * 4
Area = 24 in²
Area of Frame
Area of Frame = Total Area - Picture Area
Area of Frame = 54 - 24
Area of Frame = 30 in²
D e c a is all the answer
Answer:
The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
Area of the circle = π × r² = 3.1415 × 8 feet = 201.06 square feet
