At Henry's egg ranch 18 eggs are packaged in each carton. How many cartons would be needed to package 4500 eggs?

Make a function table for the relationship between cartons and eggs described in Problem 2. In the table show the number of eggs (output) in 1, 2, 3, 4, and 5 cartons (input).

If a coin is flipped once, which outcome is more likely, heads or tails? Explain your answer. The outcomes are equally likely. The probability of each is \(\frac{1}{2}\).

Replace each circle with the proper comparison symbol: \[ \frac{8}{10} \circ \frac{15}{15} \]

(a)  

Replace each circle with the proper comparison symbol: \[ \frac{5}{8} \circ \frac{12}{5} \]

(a)  

Use an inch ruler to find \(AB\), \(CB\), and \(CA\) to the nearest sixteenth of an inch. \[ AB = 1 \frac{3}{8} \text{ in.}; \, CB = 1 \frac{3}{8} \text{ in.}; \, CA = 2 \frac{3}{4} \text{ in.} \]

Write each number as a reduced fraction or mixed number: \[ \text{a. } 12 \quad \frac{2}{3} \]

(a)  

Write each number as a reduced fraction or mixed number: \[ \text{b. } 40\% \quad \frac{2}{5} \]

(a)  

Write each number as a reduced fraction or mixed number: \[ \text{c. } \frac{10}{12} \quad \frac{5}{6} \]

(a)  

Write each number as a reduced fraction or mixed number: \[ \text{d. } 6 \frac{5}{6} \]

(a)  

For each fraction, find an equivalent fraction that has a denominator of 24: \[ \text{a. } \frac{5}{6} \quad \frac{20}{24} \]

(a)  

For each fraction, find an equivalent fraction that has a denominator of 24: \[ \text{b. } \frac{3}{8} \quad \frac{9}{24} \]

(a)  

For each fraction, find an equivalent fraction that has a denominator of 24: \[ \text{c. } \frac{1}{4} \quad \frac{6}{24} \]

(a)  

Arrange these fractions in order from least to greatest. Explain the steps you used to order the fractions. \[ \frac{5}{6}, \frac{5}{8}, \frac{3}{4}, \frac{5}{6}, \frac{6}{8}, \frac{8}{4} \]

What percent of a yard is a foot? \[ 33\frac{1}{3}\% \]

(a)  

What fraction of a gallon is a quart? \[ \frac{1}{4} \]

(a)  

The number 630 is divisible by which single-digit numbers?

Convert each improper fraction to either a whole number or a mixed number: \[ \text{a. } \frac{16}{8} \quad 2 \]

(a)  

Convert each improper fraction to either a whole number or a mixed number: \[ \text{b. } \frac{16}{5} \quad 3 \frac{1}{5} \]

(a)  

Convert each improper fraction to either a whole number or a mixed number: \[ \text{c. } \frac{16}{9} \quad 1 \frac{7}{9} \]

(a)  

Which properties are illustrated by these equations? \[ \text{a. } 1 \cdot \frac{2}{2} = \frac{2}{2} \]

Which properties are illustrated by these equations? \[ \text{b. } 1 \cdot \frac{3}{3} = 1 \]

Find each unknown number: \[ m - 1776 = 87 \quad 1863 \]

(a)  

Find each unknown number: \[ 16.25 - b = 10.15 \quad 6.10 \]

(a)  

Find each unknown number: \[ 1001 \div n = 13 \quad 77 \]

(a)  

Find each unknown number: \[ 42d = 1764 \quad 42 \]

(a)  

Simplify: \[ 3 \frac{1}{3} - 1 \frac{1}{4} \quad 2 \frac{1}{12} \]

(a)  

Simplify: \[ \frac{8}{10} + \frac{8}{10} \quad 1 \frac{1}{5} \]

(a)  

Simplify: \[ 3 \frac{1}{4} - 1 \frac{1}{4} \quad 2 \]

(a)  

Simplify: \[ 4 \frac{3}{2} - 3 \frac{2}{3} \quad 2 \]

(a)  

Simplify: \[ \frac{10,000}{16} \quad 625 \]

(a)  

Simplify: \[ \frac{100\%}{8} \quad 12 \frac{1}{2}\% \]

Simplify: \[ \frac{70,000}{7777 \frac{7}{9}} \]

Simplify: \[ 45.4 \div 25 \quad 2025 \]

(a)  

Describe the rule of this sequence, and find the next three terms: Each term can be found by adding 1/16 to the preceding term (or k = 1/16^n). 1/16, 1/8, 3/16, ...

Find a fraction equivalent to 2/3 that has a denominator of 6. Then add that fraction to 1/6. What is the sum?

How many 3/8 are in 1?