Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
<h3><em><u>The equation to find the number of hours for which the total cost will be the same for the two services is:</u></em></h3><h3>12 + 5h = 18 + 3h</h3>
<em><u>Solution:</u></em>
Let "h" be the number of hours
Given that,
<em><u>Derrick's Dog Sitting charges $12 plus $5 per hour</u></em>
Cost : 12 + 5(number of hours )
Cost : 12 + 5h ---------- eqn 1
<em><u>Darlene's Dog Sitting charges $18 plus $3 per hour</u></em>
Cost: 18 + 3(number of hours)
Cost: 18 + 3h ---------- eqn 1
<em><u>For eqn 1 = eqn 2, the number of hours for the total cost will be the same for the two services</u></em>
Therefore,
12 + 5h = 18 + 3h
Thus option A is correct
Answer:
Step-by-step explanation:
x ≤ 165
<em>Hope that helps!</em>
Answer and working out attached below. Hope it helps
Answer:
b = 5
Step-by-step explanation:
Whatever you do to one side, you must do to the other side in order to make the equation stay true.
1. Subtract 22 from both sides.
-3b + 22 - 22 = 7 - 22
-3b = -15
2. Divide both sides by -3.
-3b/-3 = -15/-3
b = 5
^ That's the final answer!