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natima [27]
2 years ago
9

rancho middle school has an average of 23/3/8 students per teacher. write this mixed number as a decimal​

Mathematics
1 answer:
Len [333]2 years ago
8 0

Rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Answer:

23\frac{3}{8} = 23.375

Step-by-step explanation:

Given:

The given mixed number is 23\frac{3}{8}

We need to write the given mixed number as a decimal.

So, we find the decimal number by separating the parts.

=23+\frac{3}{8}

The value of \frac{3}{8}=0.375

=23+0.375

=23.375

Therefore, the decimal number of given mixed number is =23.375

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
Help !!!!!!!!!!!!!!!!!!!!!
vladimir1956 [14]

Answer:

12 is the answer thanks for asking in

3 0
2 years ago
Norman weighed his loaded trucks of apples at a weigh station. It weighed 15 tons 100 lbs. his empty truck weighed 3 tons 200 lb
mojhsa [17]
The answer would be 11 tons 1,900 lbs :D
7 0
2 years ago
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How to find the surface area of a cylinder
Finger [1]

Answer:

measure it

Step-by-step explanation:

Greg a tape measure and measure it

4 0
2 years ago
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Check all of the expressions that are equal to the one below.
Aloiza [94]
(7-11) • (5) = -20

A. (5) • 7 + (5) • (-11)
↳ 35 + (-55)
↳ 35 - 55 = -20

B. -(-7+11) • (5)
↳ -4 • 5 = -20

C. (5) • 7 - (5) • 11
↳ 35 - 55 = -20

D. (7+11) • (5)
↳ 18 • 5 = 90

A B & C are correct
4 0
3 years ago
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