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Mashutka [201]
3 years ago
11

Please help!

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

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Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

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The general rule of an arithmetic sequence is the following:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

The sum of the first n terms of an arithmetic sequence is given by:

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S_{37} = \frac{37(-27 + 189)}{2} = 2997

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Step-by-step explanation:

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