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
15 answers
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
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
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.
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
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".
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.
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."
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.
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 2/3 of the way down, we need to multiply 2/3 by the depth of the treasure, which is 97.2 feet.
Elevation = (2/3) * 97.2 feet = 64.8 feet
Since the diver is going down, the elevation would be negative. Therefore, the correct response is "-64.8 ft." or "negative 64.8 ft."
Elevation = (2/3) * 97.2 feet = 64.8 feet
Since the diver is going down, the elevation would be negative. Therefore, the correct response is "-64.8 ft." or "negative 64.8 ft."
A basketball player is 623 feet tall. His infant son is 14 as tall. How tall is his son?(1 point)
Responses
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
Responses
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
To find the height of the basketball player's son, we need to multiply the basketball player's height by the ratio given (14).
Son's height = Basketball player's height * ratio = 623 feet * 14
Son's height = 8722 feet
Therefore, the correct response is "8722 ft."
Son's height = Basketball player's height * ratio = 623 feet * 14
Son's height = 8722 feet
Therefore, the correct response is "8722 ft."
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
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.
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/3 ft.
Responses
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.
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/3 ft.
To find the height of the basketball player's son, we need to multiply the basketball player's height by the ratio given (1/4).
Son's height = Basketball player's height * ratio = (6 2/3 feet) * (1/4)
To multiply a whole number by a fraction, we first convert the whole number to an improper fraction:
6 2/3 = (6 * 3 + 2) / 3 = 20/3
Son's height = (20/3 feet) * (1/4) = (20/3) * (1/4) = 20/12 = 1 2/3 feet
Therefore, the correct response is "1 2/3 ft."
Son's height = Basketball player's height * ratio = (6 2/3 feet) * (1/4)
To multiply a whole number by a fraction, we first convert the whole number to an improper fraction:
6 2/3 = (6 * 3 + 2) / 3 = 20/3
Son's height = (20/3 feet) * (1/4) = (20/3) * (1/4) = 20/12 = 1 2/3 feet
Therefore, the correct response is "1 2/3 ft."
3 answers