Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height 
Diameter 
Truck can dump
at a time
The volume of a cone is

Putting values

No of trips(N) required to accumulate this much volume is given by

Therefore, 14 trips are necessary to accumulate a cone of volume 
There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 30

Putting y=11 in Eqn 2

There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
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Answer:
It is divisible by 11 and (a + b) !
Step-by-step explanation:
Given a two digit number
, the digits written in reverse order is
.
Note that a two digit number ab = 10a + b.
For example: 24 = 10(2) + 4
Similarly, ba = 10(b) + a
Now, the sum of the numbers ab and ba = 10a + b + 10b + a
= 11a + 11b
= 11(a + b)
Hence, the sum of any two digit number ab and the reverse of the number ba, is divisible by 11 and (a + b).
Hence, proved.