Answer: 51 in²
Step-by-step explanation: Using the given diagram, we can find the area of the shaded region by taking the area of the larger rectangle minus the area of the area of the small rectangle.
To find the area of the large rectangle, we start with the formula for the area of a rectangle which is shown below.
Area = length · width
Since the length of the large rectangle is 15 in and the width is 5 in, we can plug this information into the formula to get 15 in · 5 in or 75 in.
So the area of the larger rectangle is 75 in.
To find the area of the small rectangle, we also use length · width which is simply 8 in · 3 in or 24 in. So the area of the small rectangle is 24 in.
Finally, remember that the area of the shaded region is the area of the larger rectangle minus the area of the smaller rectangle which in this case will be 75 - 24 or 51
So the area of the shaded region is 51 in².
Answer:
14⁹
Step-by-step explanation:
When you're multiplying, you add the exponents. So, -3+12=9.
The correct answer is 45+45(0.15). This is because you need to first count the price, and then add on the tip which is a certain percentage of that price. Hope this helped!
Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
Answer:
Using the table, the slope is 1/2
