Nelda baked 2 kinds of pasta in pans. each pan was the same size. she sliced one pan of pasta into 6 equal pieces. she sliced the other pan into eight equal pieces. how can the pans of pasta now be sliced so that both pans have the same size pieces?

The first pan has to be divided into 4 equal parts.

The second pan has to be divided into 3 equal parts.

Step-by-step explanation:

The first step to solve this problem is finding the least common multiple of 6 and 8.

The multiples of 6 are {0,6,12,18,24,30,36,42,...}

The multiples of 8 are {0,8,16,24,32,...}

The least common multiple of 6 and 8 is 24.

So both kinds of pasta have to be baked so after the second step they have 24 equal parts.

So:

First pan:

The first pan was sliced into 6 equal parts.

24/6 = 4.

So each of the 6 parts have to be divided into 4 equal parts.

After the second step, they have 6*4 = 24 equal parts.

Second pan:

The second pan was sliced into 8 equal parts

24/8 = 3

So each of the 8 parts have to be divided into 3 equal parts.

After the second step, they have 8*3 = 24 equal parts.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.