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 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 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
the portion of books in the library that are how-to books
the portion of the how-to books that are about electronics.
Sara discarded 110 of the apples she picked as defective. Of the apples remaining, 300 were made into cider. The rest were sold as fresh fruit. What fraction of the total apples picked were sold as fresh fruit?(1 point)
Responses
35
Start Fraction 3 over 5 End Fraction
310
Start Fraction 3 over 10 End Fraction
45
Start Fraction 4 over 5 End Fraction
not enough information
To find the fraction of the total apples picked that were sold as fresh fruit, we need to know how many apples were picked in total. However, the given information does not provide this number, so we cannot determine the fraction. Therefore, the correct response is "not enough information."
Sara discarded 1/10 of the apples she picked as defective. Of the apples remaining, 300 were made into cider. The rest were sold as fresh fruit. What fraction of the total apples picked were sold as fresh fruit?(1 point)
Responses
3/5
Start Fraction 3 over 5 End Fraction
3/10
Start Fraction 3 over 10 End Fraction
4/5
Start Fraction 4 over 5 End Fraction
not enough information
To find the fraction of the total apples picked that were sold as fresh fruit, let's first calculate the fraction of apples that remained after discarding 1/10.
If Sara discarded 1/10 of the apples, this means 9/10 of the apples remained.
Out of the remaining apples, 300 were made into cider. The fraction of apples made into cider is 300/ (9/10).
To find the fraction of apples sold as fresh fruit, we subtract the fraction made into cider from 9/10:
9/10 - 300/(9/10)
Simplifying the expression:
9/10 - 300/ (9/10) = 9/10 - (300 * 10/9)
= 9/10 - 3000/9
= 9/10 - 1000/3
= (27/30) - (1000/3)
= (27 - 1000/3) / 30
= (-973/3) / 30
=-973/90
= -108.111111...
Since the fraction comes out to be negative, it doesn't make sense in the context of the problem.
Hence, "not enough information" is the correct response as we need additional information to determine the fraction of apples sold as fresh fruit.
The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.(1 point)
Responses
15.96 mi
15.96 mi
16 mi2
16 mi squared
8 mi2
8 mi squared
15.96 mi2
To solve for the total area of Oak Manor, we need to multiply the length and width of the town.
The length of Oak Manor is given as 3.8 miles and the width is given as 4.2 miles.
Total area = Length × Width = 3.8 miles × 4.2 miles = 15.96 square miles
So, the correct response is "15.96 mi^2" or "15.96 square miles".
A diver searches for a sunken treasure that is 97.2 feet below the surface. What is the diver's elevation when he is 23 of the way down? (1 point)
Responses
−145.8 ft.
negative 145 point 8 ft.
−32.4 ft.
negative 32 point 4 ft.
−48.5 ft.
negative 48 point 5 ft.
−64.8 ft.
To find the diver's elevation when he is 23% of the way down, we need to multiply 23% (or 23/100) by the depth of the treasure, which is 97.2 feet.
Elevation = 23% of 97.2 feet = (23/100) * 97.2 feet = 22.356 feet
Since the diver is going down, the elevation would be negative. Therefore, the correct response is "-22.356 ft." or "negative 22.356 ft."
A diver searches for a sunken treasure that is 97.2 feet below the surface. What is the diver's elevation when he is 2/3 of the way down? (1 point)
Responses
−145.8 ft.
negative 145 point 8 ft.
−32.4 ft.
negative 32 point 4 ft.
−48.5 ft.
negative 48 point 5 ft.
−64.8 ft.