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Leto [7]
3 years ago
5

The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

length=4 1/4

Step-by-step explanation:

  1. 1 3/4 + 2 1/2
  2. convert 2 1/2 into 2/4 since 2 is half of 4
  3. add the converted number and 1 3/4 fractions
  4. 2/4 and 3/4 added will make 1 1/4
  5. add 1 1/4, 2 and 1 and it will equal 4 1/4
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The compound interest on the account with .01% interest rate in 5 years
Alina [70]

Answer:

The interest generated will be $ 51.20.

Step-by-step explanation:

To determine the compound interest on the account with 0.01% interest rate in 5 years compounded quarterly with an initial deposit of $ 1,000, the following calculation must be performed:

1,000 x (1 + 0.01 / 4) ^ 4x5 = X

1,000 x (1 + 0.0025) ^ 20 = X

1,000 x 1.0025 ^ 20 = X

1,000 x 1.05120 = X

1,051.20 = X

1,051.20 - 1,000 = 51.20

Therefore, the interest generated will be $ 51.20.

7 0
3 years ago
Of the runners in a marathon through Northeastern Pennsylvania, 94.12% finished the race. If 2,125 runners started the race, how
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2125 x .9412= 2125/10000 x 9412= 2000
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7 0
3 years ago
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You cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.
lianna [129]

Answer:

The fraction of the original strip left is \frac{1}{8}.

Step-by-step explanation:

We have that,

A strip of paper is cut in \frac{1}{2}. So, the strip of paper left is \frac{1}{2}.

Now, again the remaining part is cut in half. The part left will be  \frac{1/2}{2} i.e.  \frac{1}{4}.

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is  \frac{1/4}{2} i.e.  \frac{1}{8}.

So, the fraction of the original strip left is \frac{1}{8}.

6 0
3 years ago
(b) As in part (a), how many three-digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the mi
Lubov Fominskaja [6]

Answer:

The number of 3-digit phone prefixes that do not start with 0 or 1, but contain 0 or 1 as the middle digit is 160.

Step-by-step explanation:

The phone prefix for any area is of the form <u>X</u> <u>X</u> <u>X</u>.

These prefixes can take values from 0 to 9.

The condition to create a phone prefix is:

  • The first digit cannot be 0 or 1
  • The middle digit is either 0 or 1.

The possible number of ways to fill the first place is 8 since 0 or 1 cannot be the first digit.

The possible number of ways to fill the second place is 2 since the middle digit can be occupied by either 0 or 1.

The possible number of ways to fill the last place is 10 since there are no condition applied to the last digit.

Then the number of phone prefixes that can be formed is = 8\times2\times10=160

Thus, the possible number of phone prefixes possible is 160.

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