Choose the correct symbol to compare the expressions. Do not multiply.
3
2
4
?3
2
4
6
9
< (less than)
3 < 6
Choose the correct symbol to compare the expressions. Do not multiply.
1
1
5
?1
1
5
×
5
3
= (equal to)
1 + 1 + 5 = 1 + 1 + 5
Dirk is making mini berry pies. For the filling, he mixes 1 pound each of raspberries, blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If he wants to use up all of his filling, how many mini pies can he make?
First, we need to determine how many ounces of filling Dirk has total:
1 pound raspberries + 1 pound blueberries + 1 pound blackberries = 16 ounces each = 48 total ounces
Then, we divide the total ounces of filling by the amount of filling in each mini pie tin:
48 total ounces ÷ 6 ounces per mini pie tin = 8 mini pies
Therefore, Dirk can make 8 mini berry pies with his filling.
A 5-cup carton of milk costs $2.00. What is the price per fluid ounce?
To find the price per fluid ounce of milk, we need to perform the following steps:
1. Determine how many fluid ounces are in 5 cups of milk:
- 1 cup = 8 fluid ounces
- 5 cups = 5 x 8 = 40 fluid ounces
2. Divide the total cost of the milk by the total number of fluid ounces:
- Price per 5-cup carton = $2.00
- Price per fluid ounce = $2.00 ÷ 40 fluid ounces
- Price per fluid ounce = $0.05
Therefore, the price per fluid ounce of milk is $0.05.
Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.
inches =
1
1
4
feet.
There are 12 inches in 1 foot. Therefore, to convert 1 ¼ feet to inches, we multiply 1 by 12 and add ¼ (or 3) to get:
1 ¼ feet = (1 x 12) + 3 = 15 inches
So, 1 ¼ feet is equal to 15 inches. We can write it as a whole number or as a mixed number, depending on the context of the problem. To write it as a mixed number, we divide the total number of inches by the number of inches per foot:
15 inches ÷ 12 inches/foot = 1 3/12 feet
Simplifying the fraction, we get:
1 3/12 feet = 1 1/4 feet
Therefore, 1 ¼ feet is equal to 15 inches or 1 1/4 feet.
To compare the expressions without multiplying, we can use the symbols "<" and ">" to represent "less than" and "greater than" respectively.
Looking at the given expressions:
3, 2, 4 and ?3, 2, 4, 6, 9
We need to compare the first set of numbers with the second set.
Comparing 3 and 3, we can see that they are equal, so we can use the "=" symbol.
Comparing 2 and 2, we can also see that they are equal, so we can use the "=" symbol again.
Finally, comparing 4 and 6, we can see that 4 is less than 6. Thus, we can use the "<" symbol.
Therefore, the correct symbol to compare the expressions is:
3 = 3, 2 = 2, 4 < 6