Multiples of 3 plus 1 remainder are:
3n+1
Multiples of 4 plus 1 remainder are:
4n+1
Since these multiples must be the same number must be a multiple of 12 plus a remainder of one, which is:
12n+1
And the smallest such three digit number is:
12n+1>99 subtract 1 from both sides
12n>98 divide both sides by 12
n>8.17
Since n must be an integer, n=9
So then number is 12n+1
12(9)+1=109
Answer:
x = - 1, y = 3 or (-1 , 3)
Step-by-step explanation:
x – 3y + 10 = 0 x = 3y - 10 ... plug in
x² + y² = 10
(3y-10)² + y² = 10
10y² - 60y +90 = 0
y² - 6y + 9 = 0
(y - 3)² = 0
y = 3
x = - 1
Answer:
15 photos
Good luck & have a great day!
Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = 
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = 
k = 3
For R = 6 and R = 18
k = 
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
Answer:
25
Step-by-step explanation: