There are two machines that produce aluminum cans. The newer machine can produce 4200 cans in 210 minutes. It take the older machine 280 minutes to produce that many cans. If the two machines work together, how long will it take them to produce 4200 cans?

120 minutes or 2 hours

Step-by-step explanation:

Proportions

The method to solve the problem is to compute how many cans produce each machine per minute, then add them to obtain the total cans produced by both. Finally, we compute the time to produce 4200 cans at that level of production.

The newer machine produces 4200 cans in 210 minutes, it means it produces

=20 cans per minute

The older machine needs 280 minutes to produce the same 4200 cans, to it produces

= 15 cans per minute

Together, they produce 20+15=35 cans per minute. Thus, to produce 4200 cans, they need

= 120 minutes or 2 hours

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.  

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