Answer:
3 1/2 cups
Step-by-step explanation:
Let's start by figuring out how much sugar Karen needs in total.
She needs (1+1/3) cups for her original recipe. To triple that, we need (1+1/3) 3 times. We can calculate this by multiplying it by 3.
(1+1/3) * 3 = 3 + 1 = 4
Karen needs 4 cups in total. She has 1/2 cup. The difference is how much more she needs. Therefore, she needs 4 - 1/2 = 3 1/2 cups
To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
- Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
- Combine the same terms.
- Isolate the variable on one side by using subtraction of addition.
- Use division or multiplication to find the value of the variable.
Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
Learn more about solving an equation here:
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189.9 miles= 305.614
..............................
Answer:
Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:
1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.
Now, we will divide 1800 by 45 to find average rate in laps per hour as:
Therefore, Sebastian's average rate is 40 laps per hour.
