To find the value of the expression -13(21 4/9), first convert the mixed number to an improper fraction.
21 4/9 = 21 + 4/9 = (21*9 + 4)/9 = (189 + 4)/9 = 193/9
Now, multiply -13 by 193/9:
-13 * 193/9 = (-13 * 193) / 9 = -2509/9
Therefore, the value of the expression -13(21 4/9) is -2509/9.
What is the value of the expression -13(21 4/9)?
15 answers
convert that to a mixed number
To convert -2509/9 to a mixed number, divide the numerator (-2509) by the denominator (9) and express the result as a mixed number.
2509 ÷ 9 = 278 with a remainder of 7
The mixed number is then 278 7/9.
2509 ÷ 9 = 278 with a remainder of 7
The mixed number is then 278 7/9.
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If a bookshelf is 28 1/8 inches long, how many 1 7/8 inch thick books will it hold?
To determine how many 1 7/8 inch thick books a bookshelf can hold, divide the length of the bookshelf by the thickness of each book.
Convert the mixed numbers to improper fractions:
28 1/8 = (28 * 8 + 1) / 8 = 225/8
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now, divide 225/8 by 15/8:
225/8 ÷ 15/8 = (225/8) * (8/15) = 225/15 = 15
The bookshelf can hold 15 of the 1 7/8 inch thick books.
Convert the mixed numbers to improper fractions:
28 1/8 = (28 * 8 + 1) / 8 = 225/8
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now, divide 225/8 by 15/8:
225/8 ÷ 15/8 = (225/8) * (8/15) = 225/15 = 15
The bookshelf can hold 15 of the 1 7/8 inch thick books.
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A library loans out 3 books every day for a week and no books are returned. The following equation is written to represent the situation:
(−3)⋅7=−21
(−3)⋅7=−21
Yes, the equation (-3) * 7 = -21 correctly represents the situation you described. This equation indicates that 3 books are being loaned out each day for a week (7 days), resulting in a total of 21 books being loaned out. The negative sign indicates that the books are being taken out of the library, resulting in a decrease in the number of books available.
(−3)⋅7=−21
Which of the following best explains the meaning of −21
in the equation?
Which of the following best explains the meaning of −21
in the equation?
In the equation (-3) * 7 = -21, the most accurate explanation for -21 is that it represents the total number of books borrowed or taken out from the library over the course of the week.
Since each day, 3 books are loaned out, and there are 7 days in a week, the total number of books borrowed can be calculated by multiplying the number of books borrowed per day (-3) by the number of days (7). This results in -21, which implies that 21 books were borrowed or taken out of the library. The negative sign indicates that the books are being removed or absent from the library's inventory.
Since each day, 3 books are loaned out, and there are 7 days in a week, the total number of books borrowed can be calculated by multiplying the number of books borrowed per day (-3) by the number of days (7). This results in -21, which implies that 21 books were borrowed or taken out of the library. The negative sign indicates that the books are being removed or absent from the library's inventory.
Daniel bought four salads at the local super market. Each salad cost $5.49.
The following equation models the situation: 5.49×4=21.96
.
What does the 21.96
represent?
The following equation models the situation: 5.49×4=21.96
.
What does the 21.96
represent?
In the equation 5.49 * 4 = 21.96, the value of 21.96 represents the total cost of purchasing four salads at a price of $5.49 each.
By multiplying the cost per salad ($5.49) by the number of salads purchased (4), you get the total cost of $21.96. It indicates the amount of money spent on buying the salads.
By multiplying the cost per salad ($5.49) by the number of salads purchased (4), you get the total cost of $21.96. It indicates the amount of money spent on buying the salads.
1 answer