A shopping center includes a grocery store and a drug store. One​ afternoon, a total of 200 people visited the shopping​ center, and 121 shopped at the grocery​ store, 91 shopped at the drug​ store, and 33 shopped at both businesses. ​a) How many people shopped at the grocery store or the drug​ store? ​b) How many people shopped at neither the grocery store nor the drug​ store?

9514 1404 393

  a) 179

  b) 21

Step-by-step explanation:

When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: