Multiply 4 by −58. Write the answer as a mixed number in simplest form.(1 point)
Responses
−248
negative 2 Start Fraction 4 over 8 End Fraction
−10
negative 10
−52
negative Start Fraction 5 over 2 End Fraction
−212
-232
Multiply 4 by −58. Write the answer as a mixed number in simplest form.(1 point)
-232
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.(1 point)
To multiply 4 by -5/8, we multiply the numerators (4 * -5) to get -20, and multiply the denominators (1 * 8) to get 8. Therefore, the result is -20/8.
To simplify this mixed number, we divide the numerator (20) by the denominator (8) to get 2 with a remainder of 4. So the mixed number is -2 and 4/8.
Simplifying the fraction further, we can reduce 4/8 by dividing both the numerator and denominator by their greatest common factor, which is 4. This gives us 1/2. Therefore, the answer as a mixed number in simplest form is:
-2 and 1/2
Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
To multiply -2/5 by 3/10, we multiply the numerators (-2 * 3) to get -6 and multiply the denominators (5 * 10) to get 50. Therefore, the result is -6/50.
To simplify this fraction, we can reduce -6/50 by dividing both the numerator and denominator by their greatest common factor, which is 2. This gives us -3/25.
Therefore, the answer in simplest form is -3/25.
Multiply 6.5 by 0.3. Write the answer as a decimal.
To multiply 6.5 by 0.3, we perform the multiplication:
6.5 * 0.3 = 1.95
Therefore, the answer is 1.95.
Multiply 6.5 by 0.3. Write the answer as a decimal.(1 point)
Responses
1.86
1.86
0.195
0.195
1.95
1.95
19.5
The correct answer is 1.95.
Multiply −19.3 by 6.(1 point)
Responses
The answer is -115.8
Multiply −2 1/2 by −1 3/5. Write the answer as a decimal
To multiply -2 1/2 by -1 3/5, we first need to convert the mixed numbers into improper fractions.
-2 1/2 can be written as -5/2.
-1 3/5 can be written as -8/5.
To multiply these fractions, we multiply the numerators (-5 * -8) to get 40 and multiply the denominators (2 * 5) to get 10.
Therefore, the result is 40/10.
Simplifying the fraction, we divide the numerator (40) by the denominator (10) to get 4.
Therefore, the answer as a decimal is 4.
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)
The answer 0.12 represents the proportion or percentage of books in the school library that deal with both how-to books and electronics. Specifically, it represents the portion of the 0.3 of all books in the library that are classified as how-to books and also deal with electronics.
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 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
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
The answer 0.12 represents the portion of the books in the library that are how-to books on 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
not enough information
not enough information
45
Start Fraction 4 over 5 End Fraction
310
To find the fraction of the total apples picked that were sold as fresh fruit, we need to know the total number of apples picked.
Since the total number of apples picked is not given, there is not enough information to determine the fraction.
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
15.96 mi2
15.96 mi squared
8 mi2
8 mi squared
16 mi2
To find the total area of Oak Manor, we multiply the length and width of the town:
3.8 miles * 4.2 miles = 15.96 square miles
Therefore, the total area of Oak Manor is 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
−64.8
ft.
negative 64 point 8 ft.
−32.4
ft.
negative 32 point 4 ft.
−145.8 ft.
negative 145 point 8 ft.
−48.5
ft.
To find the diver's elevation when he is 23% of the way down, we multiply the depth of the treasure by 23%.
97.2 ft * 0.23 = 22.356 ft
Therefore, the diver's elevation when he is 23% of the way down is a depth of 22.356 ft below the surface.
However, the options provided do not match this calculation exactly. The closest option is -32.4 ft.
A basketball player is 623 feet tall. His infant son is 14 as tall. How tall is his son?(1 point)
Responses
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
If the basketball player is 623 feet tall and his infant son is 1/4 as tall, we can find the son's height by multiplying the player's height by 1/4.
623 feet * (1/4) = 155.75 feet
Therefore, the son's height is 155.75 feet. However, none of the options provided match this calculation exactly. The closest option is 123 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 23 ft.
1 Start Fraction 2 over 3 End Fraction ft.
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
223 ft.
If the basketball player is 6 2/3 feet tall and his infant son is 1/4 as tall, we can find the son's height by multiplying the player's height by 1/4.
6 2/3 feet can be written as (6 + 2/3) feet, which is equivalent to (18/3 + 2/3) feet, or 20/3 feet.
To find the son's height, we multiply (20/3) feet by (1/4):
(20/3) feet * (1/4) = 20/12 feet = 5/3 feet
Therefore, the son's height is 5/3 feet, which can also be written as 1 2/3 feet. None of the options provided match this exact calculation.