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andrew11 [14]
3 years ago
7

Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all pac

kages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points
Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer: 11,700,000

Step-by-step explanation:

Number of people in Pennsylvania =13,000,000

Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10

The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:

= 9/10 × 13,000,000

= 11,700,000

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serg [7]

Answer:  The missing ordered pairs are  (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation:  We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are  (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

4 0
3 years ago
1. If the amount of fruit decreased by 35%, what percent of the original amount do you have?
katovenus [111]

Answer:

65% of the original amount.

Explanation:

Let's say that the original amount is 100%; therefore, if we subtract 35% from the original amount we have

100\%-35\%=65\%

Hence, if the amount of fruit decreased by 35%, then we have 65% of the original amount left.

6 0
1 year ago
Manny and Susan have an egg carton full of eggs to use for their science project.
Cerrena [4.2K]

Answer:

5/6

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You'd find the LCM (lowest common denominator) which is 6. First, we'll take 1/3 which the denominator becomes 6. You see one side has been basically multiplied by 2, so you'd do it to both sides, giving us 2/6. Next, we do the same thing with 1/2. 2 -> 6 1 -> 3. 3/6. So finally, we have 3/6 + 2/6, which is 5/6.

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3 years ago
Use this number line when answering questions.
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Answer:

If the darker, longer lines are going in units of one, then A is equal to -2.

Step-by-step explanation:

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x=9

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