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Aleksandr-060686 [28]
3 years ago
13

According to the annual Summer Vacation Survey conducted by Myvesta, a nonprofit consumer education organization, the average su

mmer vacation costs $2252. If $1650 of this amount is charged on a credit card, what percent of the vacation cost is charged?
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

The answer is : 73.3% (to 1 decimal place)

Step-by-step explanation:

The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:

vacation cost = $2252

amount charged = $1650

%of vacation cost that was charged = X%

∴ X% of 2252 = 1650

\frac{X}{100} × 2252 = 1652

\frac{2252X}{100} =1650

2252X = 165000 (dividing both sides by 2252)

\frac{2252X}{2252}=\frac{165000}{2252}

∴ X = 165000 ÷ 2252

X = 73.3%

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A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co
gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

3\times 2\times 7=42

Case II: If first and third coder is junior, then the total number of ways are:

7\times 3\times 6=126

Hence, the total number of ways are: 42+126=168

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3 years ago
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Klio2033 [76]

The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.

80 x 5 = 400. This gives us a building block on our way to 1,000,000. From here, we can go further and say that 400 x 5 = 2,000; that 2,000 x 5 = 10,000; and finally that 10,000 x 100 = 1,000,000. Altogether, starting from 80, that's

80 x 5 x 5 x 5 x 100 = 80 x 25 x 500 = <em>80 x 12,500</em>

So, since 80 goes into one million 12,500 times, it takes 12,500 minutes for the animal's heart to beat that 1,000,000 times.

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Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.​
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3.57

Step-by-step explanation:

64.95×5.5/100=3.57

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