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
None of the above responses are correct.
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.
The correct response is:
Start Fraction 4 over 5 End Fraction
This fraction represents the portion of the total apples picked that were sold as fresh fruit.
The correct response is:
15.96 mi2 or 15.96 mi squared.
This represents the total area of Oak Manor in square miles.
The correct response is:
15.96 mi2 or 15.96 mi squared.
The correct response is:
−64.8 ft.
The correct response is:
112 ft.
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
45
Start Fraction 4 over 5 End Fraction
not enough information
not enough information
35
Start Fraction 3 over 5 End Fraction
310
The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.(1 point)
Responses
16 mi2
16 mi squared
15.96 mi2
15.96 mi squared
8 mi2
8 mi squared
15.96 mi
witch one
Applications of Multiplying Rational Numbers Quick Check
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.
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.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
223 ft.
nety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Write your answer as a decimal.
To find the fraction of those who were cast and got major roles, we need to divide the number of students who got major roles by the total number of students who were cast.
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.
At Point Pleasant Park, the Advanced Trail is 3.6 times as long as the Medium Trail, and the Medium Trail is 1.2 times as long as the Beginner's Trail. How many times as long as the Beginner’s Trail is the Advanced Trail? Write your answer as a decima
To find the length of the Advanced Trail compared to the Beginner's Trail, we need to multiply the length of the Medium Trail by 1.2, and then multiply that result by 3.6.
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.
There are 78
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 find how much sugar Ms. Johnson used, we need to multiply the total amount of sugar (78 cups) by the fraction representing the portion she used (12/78).
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.
There are 7/8
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 find out how much sugar Ms. Johnson used, we need to multiply the total amount of sugar (7/8 cups) by the fraction representing the portion she used (1/2).
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.
How much did Mr. Romanov pay for 9.3 gallons of gas at $3.30 a gallon
To find out how much Mr. Romanov paid for 9.3 gallons of gas at $3.30 a gallon, we need to multiply the number of gallons by the price per gallon.
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.
ne-third of the campers at Rosewood Performing Arts Camp play an instrument. Two-fifths of those campers play the guitar. What fraction 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.
man there wrong
Apologies for the incorrect response.
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.