Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
Answer:
174 ft²
Step-by-step explanation:
The polygon cam be decomposed into two rectangles.
The area of the polygon = rectangle A + rectangle B
Area of rectangle A = L* W
L = 18 ft
W = 9 ft
Area of rectangle A = 18*9 = 162 ft²
Area of rectangle B = L* W
L = 20 - 18 = 2 ft
W = 6 ft
Area of rectangle A = 2*6 = 12 ft²
✔️Area of the polygon = 162 + 12 = 174 ft²
Answer:
5
Step-by-step explanation:
The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.
The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.
The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.
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If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...
62 +55 +63 -(16 +15 +22) -2(16) = 95
Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.
