We are told in the question that 1 carat is equal to 200 mg.
The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

Now we know that
the weight of the Hope Diamond is equal to 8.9 grams.
this is an example of the distributive property
Your answer is correct it’s 4/33. You first have to convert the mixed number into an improper fraction. Then you’ll have 1/6/11/8 and then you will simplify the complex fraction. I hope that helps!
Answer:
Option B.
Step-by-step explanation:
Two events are said to be independent of each other, if the probability of one event ocurrin in not way affects the probability of the other event occurring.
The interception of two independent events P(A ∩ B) = P(A) × P(B), where:
P(A) = 0.70
P(B) = 0.20
P(A ∩ B) = P(A) × P(B) = 0.70x0.20 = 0.14
The two events are independent if the probability of buying Bread AND cheese equals: 0.14, which is Option B.
Let x be the number of minutes Peg and Larry used their phones. So their costs can be written as:
Cost of Peg's Phone usage = 25 + 0.25x
Cost of Larry's Phone usage = 35 + 0.20x
We are to find when the Peg's phone will be more than Larry's phone. We can set up the inequality as:
25 + 0.25x > 35 + 0.20x
Re-arranging the inequality
0.25x - 0.20x > 35 - 25
0.05x > 10
x > 10/0.05
x > 200
Thus, Pag's phone will cost more if the number of minutes of phone usage is more than 200