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Triss [41]
4 years ago
9

What is a factor of both 28 and 49

Mathematics
1 answer:
sdas [7]4 years ago
5 0
Factor 28 and 49

28
1*14
1*2*7

49
7*7

7 is the answer
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6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
Orlov [11]

9514 1404 393

Answer:

  3.5 hr

Step-by-step explanation:

We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...

  (lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35

Multiplying by 35/8, we have ...

  (35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5

It will take 8 lumberjacks 3.5 hours to cut down 35 trees.

8 0
3 years ago
A café sells different cakes each day. It sells banana cake every 8 days, and
KatRina [158]

Answer: It will be 88 days before both cakes are sold on the same day.

6 0
3 years ago
Read 2 more answers
8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin
Kazeer [188]

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using  E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }

Where n=60 is the sample size and \sigma=16 is the population standard deviation.

The critical value corresponding to 95% confidence interval is z_{\frac{\alpha}{2}}=1.96

We substitute the values to obtain;

E=1.96*\frac{16}{\sqrt{60} }

E=1.96*2.06559=4.0486

3 0
3 years ago
What comes next in the sequence: 1, 3, 11, 43,
lianna [129]
There may be more than one solution, but if we take the difference between the numbers of the sequence, we get
3-1, 11-3, 43-11
=2,8,32
which are powers of 2
=2^1, 2^3,2^5
If we believe the next difference is 2^7=128, then the next in the sequence will be 43+128=171
6 0
3 years ago
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2.
serg [7]

Answer:

Option a) is correct  that is -49.

Step-by-step explanation:

We have been given  the  two functions in which one of them is dividend and the other one is divisor

f(x)=5x^3+7x+5  when divided by x+2

You can see the long division to find the remainder in the attachment.  

First step we do is to choose the quotient so as to cancel the first term

And proceed till you get the degree of divisor less than dividend.

Hence, the remainder we will get is -49

Therefore, option a) is correct.

3 0
3 years ago
Read 2 more answers
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