Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. 
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. 
Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. 
Solving above expression we get;

From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. 
Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. 
Answer:
Distributive
Step-by-step explanation:
You distribute the 5 into 3x+18, multiplying it by each part of the equation (each part is separated by one of these signs: +, -, x, or /) to get 15x (from 5 x 3x) plus 60 (from 5 x 18).
Answer:
2:1
Step-by-step explanation:
There are 14 spoons (not sure what they are) and 7 eyes so it is 14:7
simplified it is 2:1
Hope this helps :)
Answer:
The probability that 12 people in your sample are carrying no cash is 0.0712
Step-by-step explanation:
n = 100
p(no cash) = 0.09
x = 12
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 12) = 0.074.
The probability that 12 people in your sample are carrying no cash is 0.074.
n = 100
p(less than 50) = 0.78
x = 75
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 75) = 0.0712
The probability that 12 people in your sample are carrying no cash is 0.0712
The formula of geometric sequence is expressed in the following manner:
an = a1 * r^(n-1) where r is the ratio and n is an integer.
Substituting, to find r
358.80 = <span>14 * r^(8)
r is equal to 1.5
hence,
</span><span>a19 = 14* 1.5^(19-1)
</span>a19 <span> ≈ 20,690.</span>