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ioda
4 years ago
9

Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra

ction of the book is not read?
Mathematics
1 answer:
dezoksy [38]4 years ago
8 0
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18... 2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9. 1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6. Put it together and TA-DA... Your answer is 1/18
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Kylie is planning to provide online science and Chinese language tutoring sessions. The sciences
Ivahew [28]

Answer:

120 ≤ 20c + 40s

Step-by-step explanation:

(Assuming her name is Kylie, who is giving 40 minute science sessions and 20 minute Chinese sessions.)

The unit for time will be minutes.

Write an equation for time needed for science sessions

40s = t

Write an equation for time needed for Chinese sessions

20c = t

Combine the two equations for the total time.

20c + 40s = total time

She does not want the total time to be more than two hours.

Convert two hours to minutes. There are 60 minutes in an hour.

2h * 60mins = 120 mins

Therefore t ≤ 120. Include this into the equation.

120 ≤ 20c + 40s

8 0
3 years ago
The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2
Yanka [14]

Answer:

a_n = 9 - 2(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

First term is 9 common difference is -2

This means that a_1 = 9, d = -2

So, the nth term is given by:

a_n = a_1 + (n-1)d

a_n = 9 + (n-1)(-2)

a_n = 9 - 2(n-1)

3 0
3 years ago
Please !!!!!! Help me
PtichkaEL [24]

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

5 0
4 years ago
What is 2*2^3 in expanded form?
katrin2010 [14]

Answer:

16

Step-by-step explanation:

To solve this question,we will have to understand some symbols in mathematics...

For example,* means ×

/ Means÷

We have so many of them

So back to the question

2*2^3 means 2 multiply by 2 raise to the power of 3

So 2^3 is 8

Therefore,2*8 means 2×8

It equals to 16

Therefore the final answer is 16

I hope you understand it better now

5 0
4 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
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