Answer: It will take 7 stages for all 19,530 families to be called.
In the first stage, only 5 families are called.
In the second stage, we would have 5 x 5 = 25 families being called.
In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.
4th stage: 5^4 = 625
5th stage: 5^5 = 3125
6th stage: 5^6 = 15625
7th stage: 5^7 = 78,125
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
3) 8
4) 5.25 cups
Step-by-step explanation:
3) cross multiply:
36 × 10 = 360
45 × x = 45x
equate them both:
360 = 45x
divide both sides by 45
360 ÷ 45 = 8
x = 8
4) 8 people : 3 cups of flour
14 people : how many cups?
14 ÷ 8 = 1.75
to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:
3 × 1.75 = 5.25 cups
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Step-by-step explanation:sdfgsdfgdsfgasdfashaderwrwetw
