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IrinaK [193]
3 years ago
5

A 10 2/3 -inch long pipe is cut into 8 equal length pieces. How long is each piece?

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

Each peice is 1 1/3 (4/3) long.

Step by step explanation:

10 2/3 divided by 8

10 2/3 = 32/3

32/3 divided by 8 = 32/3 x 1/8

32 times 1 = 32, 3 times 8 = 24 =32/24

32/24 in simplest form is 4/3 (aka 1 1/3)

Hope this helped! :)

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Mateo is culturing bacteria that have a growth rate of 5.3% per hour. If the current population is 38,762 bacteria, how many bac
Taya2010 [7]

..Given:

\begin{gathered} a=38762 \\ r=5.3\%=\frac{5.3}{100}=0.053 \\ t=20 \end{gathered}

To Determine: The number of bacteria after 20 hours

Using the future value formula for growth rate

\begin{gathered} P_a=P_c(1+r)^t \\ P_a=(Bacteria,final,population) \\ P_c(Bacteria,current,population)=38762 \\ r(rate)=0.053,t(time,in,hour)=20 \end{gathered}

Therefore

\begin{gathered} P_a=38762(1+0.053)^{20} \\ P_a=38762(1.053)^{20} \\ P_a=38762(2.809101) \\ P_a=108886.39 \\ P_a\approx108886 \end{gathered}

Hence, population of bacteria in 20 hours is 108,886

8 0
2 years ago
An irrational number between 5 and 7
Lorico [155]

By definition we have to:

In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.

For example, the number π is an irrational number.

\pi = 3.141592654

We must find an irrational number between 5 and 7.

We then have the following number:

2\pi = 6.283185307

Answer:

An irrational number between 5 and 7 is:

2\pi = 6.283185307

4 0
4 years ago
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When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% percent of its normal value. What is a
ICE Princess25 [194]

Answer:

50 beats per minute

Step-by-step explanation:

8 0
4 years ago
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Please help me find the x
Alik [6]

7x + x + 20 = 180\Leftrightarrow 8x = 160\Leftrightarrow x = 20

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4 years ago
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Find the sum of the first 20 terms of an arithmetic series if the first term is 4 and the common difference is 3.
Ratling [72]

The sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.

Step-by-step explanation:

First Term  (a) = 4

Common difference  (d) = 3

The number of term (n) = 20

The sum of an Arithmetic series of (n) number of terms, with first term (a) and the common difference (d) is equal to

Sum =  (n/2) * ( 2 * a + (n -1) * d)

So putting the values of a,d, n

Sum = ( 20/2) * ( 2 * 4 + (20 -1) *3 )

Sum =  (10) * ( 8 + 19 * 3)

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Sum = 10 * 65 = 650

Hence the sum of first 20 terms of Arithmetic Series is 650 if the first term is 4 and the common difference is 3.

8 0
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