Question
$2. Solve the following equation.
% of
Answer:
Which of these statements is not true?
120 C
2 quarts
gallon
2 tablespoons
teaspoons
2 cups
pint
4 cups
quart
% of
Answer:
Which of these statements is not true?
120 C
2 quarts
2 tablespoons
2 cups
4 cups
Ask by Pearson Spencer. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The percentage
is 20. The false statement is 2 tablespoons = 6 teaspoons.
Solution
Let’s break down the problem step by step.
Step 1: Solve the equation
The equation given is:
To express this mathematically, we can write:
where
is the percentage we need to find.
Step 2: Solve for
We can rearrange the equation to isolate
:
Now, let’s calculate
.
Step 3: Calculate
Calculating
:
So, the solution to the equation is:
Step 4: Evaluate the statements
Now, let’s evaluate the statements to find out which one is not true:
-
120 C: This statement is ambiguous without context. It could refer to a temperature or a measurement, but it doesn’t provide enough information to evaluate its truth.
-
2 quarts = 1 gallon: This statement is true. There are 4 quarts in a gallon.
-
2 tablespoons = 6 teaspoons: This statement is not true. There are 3 teaspoons in a tablespoon, so 2 tablespoons equal 6 teaspoons.
-
2 cups = 1 pint: This statement is true. There are 2 cups in a pint.
-
4 cups = 1 quart: This statement is true. There are 4 cups in a quart.
Conclusion
The statement that is not true is:
2 tablespoons = 6 teaspoons.
2 tablespoons = 6 teaspoons.
Thus, the final answers are:
- The percentage
is . - The false statement is 2 tablespoons = 6 teaspoons.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To solve this equation, we want to find out what percentage of 15 gives us 3. We can set up the equation
. Converting the percentage to decimal gives us
. Solving for
involves manipulating the equation:
, which simplifies to
. So, 20% of 15 equals 3!
As for the statements, the statement “2 tablespoons = 6 teaspoons” is not true. In fact, 1 tablespoon equals 3 teaspoons, so 2 tablespoons equal 6 teaspoons indeed. All other statements are correct: 120 cups indeed equals 1 gallon, 2 cups equal 1 pint, and 4 cups equal 1 quart. Happy measuring!