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larisa86 [58]
3 years ago
9

a class survey showed 8 out of 25 students had plans to travel over spring break. how many students out of the 400 students in t

he entire school would you expect to be traveling over spring break?
Mathematics
1 answer:
tangare [24]3 years ago
5 0
Traveling : total
8 : 25
x : 400 

25 x 4 = 400 so 8 x 4 = 40 so the answer is 40. 
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A number is chosen at random from the integers 10 to 30 inclusive. Find the probability that the number is a multiple of 3.
kirill [66]

Answer:

For each part, find how many numbers have the stated characteristic, then divide by 21.

e.g. multiples of 5:

these would be 10, 15, 20, 25, and 30

so prob (a multiple of 5 ) = 5/21

Do the others the same way

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3 years ago
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The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Andrews [41]

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

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3 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

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Answer:

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