Applications of Multiplying Rational Numbers Quick Check
1 of 51 of 5 Items
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 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 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 on carpentry
26 answers
The correct interpretation of the answer 0.12 in the equation 0.3 × 0.4 = 0.12 is:
The portion of the how-to books in the school library that deal with both carpentry and electronics.
Responses
45
Start Fraction 4 over 5 End Fraction
not enough information
not enough information
35
Start Fraction 3 over 5 End Fraction
310
Start Fraction 4 over 5 End Fraction
This fraction represents the portion of the total apples picked that were sold as fresh fruit.
Responses
16 mi2
16 mi squared
15.96 mi2
15.96 mi squared
8 mi2
8 mi squared
15.96 mi
15.96 mi2 or 15.96 mi squared.
This represents the total area of Oak Manor in square miles.
15.96 mi2 or 15.96 mi squared.
4 of 54 of 5 Items
Question
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
−48.5
ft.
negative 48 point 5 ft.
−32.4
ft.
negative 32 point 4 ft.
−64.8
ft.
negative 64 point 8 ft.
−145.8 ft.
−64.8 ft.
Responses
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
223 ft.
112 ft.
Given that 6 students got major roles and one-third of those who auditioned were cast, we can calculate the total number of students who were cast:
Number of students who were cast = (1/3) * 90 = 1/3 * 90 = 30.
So, the fraction of those who were cast and got major roles is:
Fraction = Number of students with major roles / Number of students who were cast = 6 / 30 = 1/5.
Expressed as a decimal, this fraction is 0.2.
Let's assume the length of the Beginner's Trail is 1 unit.
The length of the Medium Trail would be 1.2 times the length of the Beginner's Trail, which is 1 * 1.2 = 1.2 units.
The length of the Advanced Trail would be 3.6 times the length of the Medium Trail, which is 1.2 * 3.6 = 4.32 units.
So, the Advanced Trail is approximately 4.32 times as long as the Beginner's Trail, written as a decimal.
cups of sugar in a canister in the kitchen. Ms. Johnson used 12
of the sugar when she was preparing dessert for her daughter's birthday cake. How much sugar did she use?(1 point)
To calculate this, we use the formula:
Sugar used = Total sugar * Fraction used
Substituting the values:
Sugar used = 78 cups * (12/78)
Simplifying the fraction:
Sugar used = 12 cups
Therefore, Ms. Johnson used 12 cups of sugar.
cups of sugar in a canister in the kitchen. Ms. Johnson used 1/2
of the sugar when she was preparing dessert for her daughter's birthday cake. How much sugar did she use?(1 point)
To calculate this, we use the formula:
Sugar used = Total sugar * Fraction used
Substituting the values:
Sugar used = (7/8 cups) * (1/2)
Multiplying the fractions:
Sugar used = 7/16 cups
Therefore, Ms. Johnson used 7/16 cups of sugar.
To calculate this, we use the formula:
Total cost = Number of gallons * Price per gallon
Substituting the values:
Total cost = 9.3 gallons * $3.30/gallon
Multiplying:
Total cost = $30.69
Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas.
To calculate this, we use the formula:
Fraction playing guitar = Fraction playing an instrument * Fraction playing guitar
Substituting the values:
Fraction playing guitar = (1/3) * (2/5)
Multiplying fractions:
Fraction playing guitar = 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.
To find the fraction of campers at Rosewood Performing Arts Camp who play the guitar, we need to multiply the fraction of campers who play an instrument (1/3) by the fraction who play the guitar (2/5).
To calculate this, we use the formula:
Fraction playing guitar = Fraction playing an instrument * Fraction playing guitar
Substituting the values:
Fraction playing guitar = (1/3) * (2/5)
Multiplying fractions:
Fraction playing guitar = 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.