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 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 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
the portion of books in the library that are how-to books
37 answers
The answer 0.12 represents the portion of books in the library that are how-to books on either carpentry or electronics.
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
4/5
Start Fraction 4 over 5 End Fraction
not enough information
not enough information
3/5
Start Fraction 3 over 5 End Fraction
3/10
Responses
4/5
Start Fraction 4 over 5 End Fraction
not enough information
not enough information
3/5
Start Fraction 3 over 5 End Fraction
3/10
To find the fraction of the total apples picked that were sold as fresh fruit, we need to find the fraction of apples that were not discarded or made into cider.
If Sara discarded 1/10 of the apples, then 9/10 of the apples remaining were not discarded.
From these remaining apples, 300 were made into cider.
Therefore, the fraction of apples that were sold as fresh fruit is:
(9/10) - (300/total apples)
Since we do not know the total number of apples picked, we cannot determine the exact fraction. The correct response is "not enough information."
If Sara discarded 1/10 of the apples, then 9/10 of the apples remaining were not discarded.
From these remaining apples, 300 were made into cider.
Therefore, the fraction of apples that were sold as fresh fruit is:
(9/10) - (300/total apples)
Since we do not know the total number of apples picked, we cannot determine the exact fraction. The correct response is "not enough information."
The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.(1 point)
Responses
15.96 mi2
15.96 mi squared
8 mi2
8 mi squared
15.96 mi
15.96 mi
16 mi2
16 mi squared
Responses
15.96 mi2
15.96 mi squared
8 mi2
8 mi squared
15.96 mi
15.96 mi
16 mi2
16 mi squared
To find the total area of the town of Oak Manor, we multiply the length and width of the town.
The length of the town is 3.8 miles and the width is 4.2 miles.
So, the total area is:
Area = length x width
Area = 3.8 miles x 4.2 miles
Area = 15.96 square miles
Therefore, the correct response is "15.96 mi^2" or "15.96 square miles."
The length of the town is 3.8 miles and the width is 4.2 miles.
So, the total area is:
Area = length x width
Area = 3.8 miles x 4.2 miles
Area = 15.96 square miles
Therefore, the correct response is "15.96 mi^2" or "15.96 square miles."
is it "15.96 mi^2" or "15.96 square miles."
Both "15.96 mi^2" and "15.96 square miles" are correct ways to represent the total area of Oak Manor. They both convey the same information.
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.
−64.8
ft.
negative 64 point 8 ft.
−32.4
ft.
negative 32 point 4 ft.
−48.5
ft.
negative 48 point 5 ft.
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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.
−64.8
ft.
negative 64 point 8 ft.
−32.4
ft.
negative 32 point 4 ft.
−48.5
ft.
negative 48 point 5 ft.
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To find the diver's elevation when they are 23% of the way down, we need to calculate 23% of 97.2 feet.
23% of 97.2 feet is:
(23/100) x 97.2 feet = 22.356 feet
Since the diver is descending, the elevation will be negative. Therefore, the correct response is "−22.356 ft." or "negative 22.356 ft."
23% of 97.2 feet is:
(23/100) x 97.2 feet = 22.356 feet
Since the diver is descending, the elevation will 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.
−64.8
ft.
negative 64 point 8 ft.
−32.4
ft.
negative 32 point 4 ft.
−48.5
ft.
negative 48 point 5 ft.
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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.
−64.8
ft.
negative 64 point 8 ft.
−32.4
ft.
negative 32 point 4 ft.
−48.5
ft.
negative 48 point 5 ft.
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page 12 of 12
To find the diver's elevation when they are 2/3 of the way down, we need to calculate 2/3 of 97.2 feet.
2/3 of 97.2 feet is:
(2/3) x 97.2 feet = 64.8 feet
Since the diver is descending, the elevation will be negative. Therefore, the correct response is "−64.8 ft." or "negative 64.8 ft."
2/3 of 97.2 feet is:
(2/3) x 97.2 feet = 64.8 feet
Since the diver is descending, the elevation will 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
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
2 Start Fraction 2 over 3 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
Responses
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
2 Start Fraction 2 over 3 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
To find the height of the basketball player's son, we need to multiply the height of the basketball player by the factor given for his son's height.
The son's height is stated as being 14 times taller than the basketball player's height.
So, the son's height is:
14 x 623 feet = 8712 feet
Therefore, the correct response is "8712 ft."
The son's height is stated as being 14 times taller than the basketball player's height.
So, the son's height is:
14 x 623 feet = 8712 feet
Therefore, the correct response is "8712 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
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/3 ft.
2 Start Fraction 2 over 3 End Fraction ft.
1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2 2/12 ft.
Responses
1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.
2 2/3 ft.
2 Start Fraction 2 over 3 End Fraction ft.
1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2 2/12 ft.
To find the height of the basketball player's son, we need to multiply the height of the basketball player by the factor given for his son's height.
The son's height is stated as being 1/4 of the basketball player's height.
So, the son's height is:
(1/4) x 6 2/3 feet
To multiply a whole number by a fraction, we can convert the whole number to a fraction:
6 = 6/1
Now, we can multiply:
(1/4) x (6/1) x (2/2) = (6/4) x (2/2) = 12/8 = 3/2 = 1 1/2 feet.
Therefore, the correct response is "1 1/2 ft." or "1 1/2 feet."
The son's height is stated as being 1/4 of the basketball player's height.
So, the son's height is:
(1/4) x 6 2/3 feet
To multiply a whole number by a fraction, we can convert the whole number to a fraction:
6 = 6/1
Now, we can multiply:
(1/4) x (6/1) x (2/2) = (6/4) x (2/2) = 12/8 = 3/2 = 1 1/2 feet.
Therefore, the correct response is "1 1/2 ft." or "1 1/2 feet."
incorrect
Apologies for the mistake.
To find the height of the basketball player's son, we need to multiply the basketball player's height by the fraction representing his son's height.
The son's height is stated as being 1/4 of the basketball player's height.
So, the son's height is:
(1/4) x (6 2/3) feet
To multiply a whole number by a fraction, we can convert the whole number to a fraction:
6 = 6/1
Now, we can multiply:
(1/4) x (20/3) = (20/12) = 5/3 = 1 2/3 feet.
Therefore, the correct response is "1 2/3 ft." or "1 2/3 feet."
To find the height of the basketball player's son, we need to multiply the basketball player's height by the fraction representing his son's height.
The son's height is stated as being 1/4 of the basketball player's height.
So, the son's height is:
(1/4) x (6 2/3) feet
To multiply a whole number by a fraction, we can convert the whole number to a fraction:
6 = 6/1
Now, we can multiply:
(1/4) x (20/3) = (20/12) = 5/3 = 1 2/3 feet.
Therefore, the correct response is "1 2/3 ft." or "1 2/3 feet."
Divide −91 by −13. Write the answer with the correct sign.
When dividing two negative numbers, the result is positive.
So, dividing -91 by -13 would give us:
-91 / -13 = 7
Therefore, the correct answer is positive 7.
So, dividing -91 by -13 would give us:
-91 / -13 = 7
Therefore, the correct answer is positive 7.
Divide −9 by 27
. Write the answer as a simplified fraction with the correct sign.
. Write the answer as a simplified fraction with the correct sign.
When dividing a negative number by a positive number, the result is negative.
So, dividing -9 by 27 would give us:
-9 / 27 = -1/3
Therefore, the correct answer is -1/3.
So, dividing -9 by 27 would give us:
-9 / 27 = -1/3
Therefore, the correct answer is -1/3.
Divide 11 by −4. Write the answer as a mixed number with the correct sign.
When dividing a positive number by a negative number, the result is negative.
So, dividing 11 by -4 would give us:
11 / -4 = -2 remainder 3
Therefore, the correct answer is -2 3/4.
So, dividing 11 by -4 would give us:
11 / -4 = -2 remainder 3
Therefore, the correct answer is -2 3/4.
What is the quotient of −91÷(−13)÷7?
To find the quotient of -91 ÷ (-13) ÷ 7, we will perform the division one step at a time.
First, let's divide -91 by -13:
-91 ÷ -13 = 7
Now, we will divide the result by 7:
7 ÷ 7 = 1
Therefore, the quotient of -91 ÷ (-13) ÷ 7 is 1.
First, let's divide -91 by -13:
-91 ÷ -13 = 7
Now, we will divide the result by 7:
7 ÷ 7 = 1
Therefore, the quotient of -91 ÷ (-13) ÷ 7 is 1.
What is the quotient of 72÷(4)÷(−6)?
To find the quotient of 72 ÷ 4 ÷ (-6), we will perform the division one step at a time.
First, let's divide 72 by 4:
72 ÷ 4 = 18
Now, we will divide the result by -6:
18 ÷ (-6) = -3
Therefore, the quotient of 72 ÷ 4 ÷ (-6) is -3.
First, let's divide 72 by 4:
72 ÷ 4 = 18
Now, we will divide the result by -6:
18 ÷ (-6) = -3
Therefore, the quotient of 72 ÷ 4 ÷ (-6) is -3.
Without calculating, which of the following quotients can you determine will b
e positive?(1 point) Responses 1,001 ÷ (−143) 1,001divided by Left Parenthesis negative 143 Right Parenthesis 657 ÷ (−23) 657 divided by Left Parenthesis negative 23 Right Parenthesis −725 ÷ (−29) negative 725 divided by Left Parenthesis negative 29 Right Parenthesis −111 ÷ 37 negative 111 divided by 37
e positive?(1 point) Responses 1,001 ÷ (−143) 1,001divided by Left Parenthesis negative 143 Right Parenthesis 657 ÷ (−23) 657 divided by Left Parenthesis negative 23 Right Parenthesis −725 ÷ (−29) negative 725 divided by Left Parenthesis negative 29 Right Parenthesis −111 ÷ 37 negative 111 divided by 37
To determine which of the given quotients will be positive without calculating, we need to consider the signs of the numerator and the denominator.
A positive number divided by a negative number will always result in a negative quotient.
Therefore, we can determine that the quotient 657 ÷ (-23) will be positive.
The correct response is:
657 ÷ (-23)
A positive number divided by a negative number will always result in a negative quotient.
Therefore, we can determine that the quotient 657 ÷ (-23) will be positive.
The correct response is:
657 ÷ (-23)
Which of the following does not have the same value as the others?(1 point)
Responses
3−7
Start Fraction 3 over negative 7 End Fraction
−37
Start Fraction negative 3 over 7 End Fraction
−37
negative Start Fraction 3 over 7 End Fraction
−3−7
Responses
3−7
Start Fraction 3 over negative 7 End Fraction
−37
Start Fraction negative 3 over 7 End Fraction
−37
negative Start Fraction 3 over 7 End Fraction
−3−7
To determine which expression does not have the same value as the others, let's evaluate each expression:
3 - 7 = -4
-37 = -37
-3/7 = -3/7
-3 - 7 = -10
From the evaluations, we can see that -3 - 7 does not have the same value as the others.
Therefore, the correct response is:
-3 - 7
3 - 7 = -4
-37 = -37
-3/7 = -3/7
-3 - 7 = -10
From the evaluations, we can see that -3 - 7 does not have the same value as the others.
Therefore, the correct response is:
-3 - 7
Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?
To find the quotient when dividing 56 ÷ (-4) ÷ (-2), we will perform the division one step at a time.
First, let's divide 56 by -4:
56 ÷ (-4) = -14
Now, we will divide the result by -2:
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
First, let's divide 56 by -4:
56 ÷ (-4) = -14
Now, we will divide the result by -2:
-14 ÷ (-2) = 7
Therefore, the quotient when you divide 56 ÷ (-4) ÷ (-2) is 7.
What is the quotient of −7÷(−3)?
To find the quotient of -7 ÷ (-3), we need to divide -7 by -3.
When dividing two negative numbers, the result is positive.
So, -7 ÷ (-3) = 7.
Therefore, the quotient of -7 ÷ (-3) is 7.
When dividing two negative numbers, the result is positive.
So, -7 ÷ (-3) = 7.
Therefore, the quotient of -7 ÷ (-3) is 7.
Which statement is correct?(1 point)
Responses
Division is neither commutative nor associative.
Division is neither commutative nor associative.
Division is both commutative and associative.
Division is both commutative and associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is commutative but not associative.
Responses
Division is neither commutative nor associative.
Division is neither commutative nor associative.
Division is both commutative and associative.
Division is both commutative and associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is commutative but not associative.
The correct statement is:
Division is neither commutative nor associative.
Division is neither commutative nor associative.
3 answers