Answer:2/3
Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have
4
×
13
=
52
.
There are 8 cards that fit the question (4 each of aces and kings).
And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52
which we can simplify:
8/52=2/13
In order to find the three possibilities, you must first think of common factors between 30 and 12:
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 12: 1, 2, 3, 4, 6, 12
We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):
30+12x=2(15+6x) Width: 2 Length: 15+6x
20+12x=3(10+4x) Width: 3 Length: 10+4x
20+12x=6(5+2x) Width: 6 Length: 5+2x
Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step explanation:
Let us divide the equation into 2 parts.
Hanks
Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.
Let
x = number of month
y = total amount paid
y = 2000 + 200x
The relationship between amount paid and the number of months is proportional
Lynn
She did not paid anything upfront but she paid $275 every month. Therefore,
x = number of month
y = total amount paid
y = 275x
This relationship between amount paid and number of month is directly proportional
