Answer:
Step-by-step explanation:
<u>Given point </u>
<u>Dilation by a scale factor of 74:</u>
- (x, y) → (74x, 74y)
- (3, -4) → (74*3, 74(-4)) = (222, -296)
<u>Rotation by 180°:</u>
- (x, y) → (-x, -y)
- (222, -296) → (-222, 296)
Let

be the length of the side of the hot tub. Ricardo wants the pool's sides to be 5 times as long, so
X= -4y let this be equation 1
x+5y=2 let this be equation 2
substitute equation 1 in 2
-4y + 5y = 2
y=2
substitute the value of y in equation 1
x= -4y
x= -4(2)
x= -8
18sqrt(x)
I'm assuming that 3(sqrt(x))5 is equal to 15sqrt(x). If that is the case, just perform the multiplication within each term and treat the sqrt(x) as a variable when you add the all together. It is okay because they are like terms.
15 5/8 divided by 5
First, we turn the 15 5/8 to a mixed number: 8 * 15 + 5 = 125/8
125/8 divided by 5/1 (which is equal to 5)
Next, we do Keep Change Flip.
Keep 125/8 the same, change the division to multiplication, and turn the 5/1 to 1/5.
1 * 125 = 125
8 * 5 = 40
Then, we get 125/40 = 3 5/40 BUT WAIT
We can reduce it once more! Divide 40 by 5
Each friend collected 3 1/8 bags of food.