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Otrada [13]
3 years ago
5

A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in m

eters, should the carpenter cut each piece?
Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

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Which pair of numbers is relatively prime? A. 102 and 321 B. 10 and 45 C. 3 and 51 D. 35 and 72
Natali [406]
Okay. I will list all the relatively prime numbers up to 331.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101, 103,107,109,113,127,131,137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331.
Okay, so look at this list and see which match up. 
For A. 102 and 312. Neither of these numbers are relatively prime.
For B. 10 and 45. Neither of these are relatively prime. 
For C. 3 and 51. 3 is a relatively prime number, 51 is not. 
For D. 35 and 72. Neither of these are relatively prime numbers.
But the answer would be D. because to get a relatively prime pair of numbers you have to have both of them not be divisible by the same number. 102 and 312 can be divided 2, so that's not the answer. 10 and 45 can be divided by 5, so that is incorrect. 3 and 51 can be divided by 3, so that is also incorrect. 35 and 72 cannot be divided by the same numbers. 
So, the answer is D. 35 and 72.
3 0
3 years ago
Read 2 more answers
12.<br>The container shown has a capacity of 60 milliliters.<br>What fraction of it is empty?<br>​
White raven [17]

This is an incomplete question, the image is shown below.

Answer : The fraction empty container is, \frac{7}{12}

Step-by-step explanation :

As we are given that:

The capacity of container = 60 mL

In the given figure, the container is filled with 25 mL.

That means,

60 - 25 = 35 mL container is empty.

Now we have to calculate the fraction of it is empty.

The fraction of it is empty = \frac{\text{Capacity of empty container}}{\text{Total capacity of container}}

The fraction of it is empty = \frac{35mL}{60mL}

The fraction of it is empty = \frac{7}{12}

Therefore, the fraction empty container is, \frac{7}{12}

7 0
3 years ago
Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Mnenie [13.5K]

Answer:

MQ=14

Step-by-step explanation:

The two triangles are similar

So the equation is

12/72=x/12

1/6=x/12

x=2

4 0
3 years ago
A, B and C are corners of a parallelogram
slamgirl [31]

Answer:

Step-by-step explanation:

in a parallelogram diagonals bisect each other.

so mid points are same.

Let coordinates of D be (x,y)

mid point of AC=midpoint Of BD

(-2+5)/2=(x+3)/2

x+3=-3

x=-3-3=-6

x=-6

(3-3)/2=(2+y)/2

y+2=0

y=-2

so D is (-6,-2)

5 0
3 years ago
Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest ten
7nadin3 [17]

Answer:

8.3 %

Step-by-step explanation:

Mayelle earns $18000 per year. Mayelle earning is increased by $19500, to calculate the percentage increase in earnings, we divide the difference between earnings after increase and earnings before increase by the earnings before increase and then multiply the result by 100. The percentage increase is given by:

Increase in pay = (Earnings before increase - earnings after increase) / Earnings before increase × 100%

Increase in pay = ($19500 - $18000)/ $18000 × 100% = 8.3 %

3 0
2 years ago
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