The correct question is
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
Step 1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²
Step 2
find the area of the circular <span>fountain (A2)
A2=pi*r</span>²---------> pi*(4x)²=16*pi*x²
Step 3
find <span> the area of the remaining yard (A3)
A3=A1-A2----------> 150*x</span>²-16*pi*x²----> x²*[150-16*pi]----> 2*x²*[75-8*pi]
the answer is the option A)
<span> 2x</span>²<span> (75-8pi )</span>
She earns a total of <span>846 dollars.</span>
Combining three equal groups means that we will mainly depend on multiplying the quantity by 3 to get the total
<u><em>Examples are shown below:</em></u>
1- Mrs Nadia teaches three classes. Each class has 25 student. How many students does Mrs Nadia teach in total?
<u>In this problem</u> we will be combining three equal groups of students where each group has 25 students, therefore:
Total number of students = 3 * 25 = 75 students
2- John has three bags of candies. Each bag contains 10 pieces of candies. How many candies does John has?
<u>In this problem</u> we will be combining three equal groups of candies where each group has 10 pieces, therefore:
Total number of candies = 3 * 10 = 30 candies
Hope this helps :)
80 weeks
1,200+40x=400+50x
800+40x=50x
800=10x
x=80