Hello !What is the value of the expression -13(21 and -4 over 9)
278 and 7 over 9
8 and 1 over 4
-278 and 7 over 9
-34 and 1 over 4
The value of the expression -13(21 and -4 over 9) is -278 and 7 over 9.
If a bookshelf is 28 and 1 over 8 inches long, how many 1 and 7 over 8 inch thick books will it hold?
To determine how many 1 and 7 over 8 inch thick books a bookshelf can hold, divide the length of the bookshelf by the thickness of each book:
28 and 1 over 8 ÷ 1 and 7 over 8
To simplify, convert both mixed numbers to improper fractions:
28 and 1 over 8 = 225 over 8
1 and 7 over 8 = 15 over 8
Now divide the two fractions:
(225 over 8) ÷ (15 over 8)
When dividing fractions, you can multiply the first fraction by the reciprocal of the second fraction:
(225 over 8) * (8 over 15)
The 8's cancel out:
225 over 15
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 15:
225 ÷ 15 = 15
Therefore, the bookshelf can hold 15 books.
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
Which of the following best explains the meaning of −21 in the equation?
A Books were loaned out for −21
B The library now has −21
C The change in the number of books at the library over the course of the week was −21
D The number of books loaned per day was −21
.
C The change in the number of books at the library over the course of the week was −21
In the given situation, the library loans out 3 books every day for a week. Since no books are returned, the library experiences a decrease in the number of books in its possession.
The equation -3 * 7 = -21 represents the change in the number of books over the course of the week. The negative sign indicates a decrease, and the value of -21 represents that decrease. Therefore, option C is correct.
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?
A) The 21.96 represents the total weight of the four salads.
B) the $21.96 represents the cost of each of the four salads.
C) The $21.96 represents the total cost of four weeks of four salads per week.
D)The $21.96 represents the total cost of the four salads.
D) The $21.96 represents the total cost of the four salads.
The equation 5.49 * 4 = 21.96 is a multiplication equation that calculates the total cost of four salads. Therefore, option D is correct.