Answer:
Step-by-step explanation:
Given:
Waiting time = 5 hours.
We need to find the number of minutes for 5 hours.
Solution:
We know that 60 minutes for each hour, so one hour is equal to 60 minutes.
For one hour = 
For five hours = 
Therefore, you will have to wait 300 minutes in a line.
Answer:
A. 3.2307692308 batches of Muffins
B. 16 1/4 cups of flour
Step-by-step explanation:
Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.
Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
3 1/4 cups of flour = 1 batch of Muffin recipe
10 1/2 cups of flour = x
3 1/4 × x = 10 1/2 × 1
x = 10 1/2 ÷ 3 1/4
x = 21/2 ÷ 13/4
x = 21/2 × 4/13
x = 42/13
x = 3.2307692308 batches of Muffins
B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.
3 1/4 cups of flour = 1 batch of Muffin recipe
Hence,
1 batch = 3 1/4 cups of flour
5 batches = x
Cross Multiply
x = 5 × 3 1/4 cups of flour
x = 5 × 13/4
x = 65/4
x = 16 1/4 cups of flour
The answer is 8/17 because you have to change the fractions to improper fractions then change the division sign to a multiplication sign. Then change the second fraction by flipping the two numbers then multiply and reduce.
Answer: x-3, 3, is not equal to
Step-by-step explanation:
After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
