Applications of Multiplying Rational Numbers Quick Check
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Question
How-to books make up 0.3 of the books in the school library. Of these, 0.2 deal with carpentry and 0.4 deal with electronics.
0.3×0.4=0.12
Interpret what the answer 0.12 represents in this equation above.
(1 point)
Responses
the portion of the books in the library that are how-to books on electronics
the portion of the books in the library that are how-to books on electronics
the portion of books in the library that are how-to books on carpentry
the portion of books in the library that are how-to books on carpentry
the portion of the how-to books that are about either carpentry or electronics
the portion of the how-to books that are about either carpentry or electronics
the portion of books in the library that are how-to books
17 answers
Responses
3/5
Start Fraction 3 over 5 End Fraction
3/10
Start Fraction 3 over 10 End Fraction
not enough information
not enough information
4/5
Let's start by finding the fraction of apples that were not discarded.
If Sara discarded 1/10 of the apples, then 9/10 of the apples remained.
Next, let's find the fraction of apples that were not made into cider.
Out of the remaining 9/10 of the apples, 300 were made into cider. This means that 9/10 - 300/total apples were not made into cider.
To find the fraction of apples that were sold as fresh fruit, we subtract the fraction of apples that were not made into cider from the fraction of apples that were not discarded:
9/10 - 300/total apples = (9-300/10)/total apples = (9-30)/10 /total apples = 630/10 /total apples = 63/total apples
Therefore, the fraction of the total apples picked that were sold as fresh fruit is 63/total apples. The specific value of total apples is not given in the question, so the answer cannot be determined.
The correct response is: not enough information.
Responses
15.96 mi
15.96 mi
16 mi2
16 mi squared
8 mi2
8 mi squared
15.96 mi2
The length of Oak Manor is given as 3.8 miles and the width is given as 4.2 miles.
To find the total area, you would multiply the length by the width:
3.8 miles * 4.2 miles = 15.96 mi²
Therefore, the total area of Oak Manor is 15.96 mi².
The correct response is: 15.96 mi².
feet below the surface. What is the diver's elevation when he is 23 of the way down? (1 point)
Responses
−32.4
ft.
negative 32 point 4 ft.
−145.8 ft.
negative 145 point 8 ft.
−48.5
ft.
negative 48 point 5 ft.
−64.8
ft.
23% of 97.2 feet can be calculated by multiplying 23% by 97.2:
(23/100) * 97.2 = 0.23 * 97.2 = 22.356
Therefore, when the diver is 23% of the way down, their elevation will be 22.356 feet.
The correct response is: 22.356 ft.
feet below the surface. What is the diver's elevation when he is 23 of the way down? (1 point)
Responses
−32.4
ft.
negative 3/2 point 4 ft.
−145.8 ft.
negative 145 point 8 ft.
−48.5
ft.
negative 48 point 5 ft.
−64.8
ft.
23% of 97.2 feet can be calculated by multiplying 23% by 97.2:
(23/100) * 97.2 = 0.23 * 97.2 = 22.356
To find the diver's elevation, we subtract 22.356 feet from the surface elevation (which is 0 feet since it's the starting point):
0 - 22.356 = -22.356
Therefore, when the diver is 23% of the way down, their elevation will be -22.356 feet.
The correct response is: -22.356 ft.
Responses
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/12 ft.
2 Start Fraction 2 over 12 End Fraction ft.
1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2 2/3 ft.
feet below the surface. What is the diver's elevation when he is 2/3 of the way down?
A. -145.8 ft.
B. -32.4 ft.
C. -64.8 ft. < correct answer
D. -48.5 ft.
2/3 of 97.2 feet can be calculated by multiplying 2/3 by 97.2:
(2/3) * 97.2 = (2/3) * (97.2/1) = (2 * 97.2) / (3 * 1) = 194.4 / 3 = 64.8
Therefore, when the diver is 2/3 of the way down, his elevation will be -64.8 feet.
The correct answer is: C. -64.8 ft.
To find the diver's elevation when he is 2/3 of the way down, we need to subtract 2/3 of 97.2 feet from the surface elevation:
2/3 * 97.2 = 64.8 feet
Therefore, when the diver is 2/3 of the way down, his elevation will be -64.8 feet.
The correct answer is: C. -64.8 ft.
Credit to anon.
A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)
Responses
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/12 ft.
2 Start Fraction 2 over 12 End Fraction ft.
1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2 2/3 ft.
1. How-to books make up 0.3 of the books in the school library. Of these, 0.2 deal with carpentry and 0.4 deal with electronics.
Answer: the portion of the books in the library that are how-to books on electronics
2. Sara discarded 1/10 of the apples she picked as defective. Of the apples remaining, 300 were made into cider.
Answer: not enough information
3. The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.
Answer: 15.96 mi2
4. A diver searches for a sunken treasure that is 97.2
feet below the surface.
Answer: −64.8
5. A basketball player is 6 2/3
feet tall. His infant son is 1/4
as tall.
Answer: 1 2/3