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:
FIRST PROBLEM:
Exact Form:
x = 25
/19
Decimal Form:
x = 1.31578947
Mixed Number Form:
x = 1 6
/19
SECOND PROBLEM
Exact Form:
x = −
9 + √
106
, −
9 −
√
106
Decimal Form: x = 1.29563014
, −
19.29563014
Step-by-step explanation:
Answer:
dodecagon
Step-by-step explanation:
The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.
<h3>How to explain the information?</h3>
A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.
Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.
We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.
Learn more about permutations and combination on:
brainly.com/question/4658834
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Ratio is a division in its simplest form.
To get the ratio of length to width, divide the two then simplify.
In this case, convert the length and width into decimals.
length = 7 1/2 = 7.5
width 4 3/4 = 4.75
ratio of length to width is;
7.5/4.75 = 750/475
This can now be written as;
750 : 475
Dividing both sides by 25;
= 750/25: 475/25
= 30 : 19