Gracie and Lizzie are comparing their grades they earned on their latest assignment in Math. Gracie earned 150200

and Lizzie earned 92%. Which student's grade is the highest? Write your answer as a percentage.(1 point)

__%

11 answers

To compare Gracie's and Lizzie's grades, we first need to understand Gracie's score of 150200 in terms of a percentage. Since the score is just a number, we need to know the total possible points to convert it into a percentage. However, without further context about the total points for the assignment, we can't directly convert Gracie's score.

Assuming the total is out of 200, we calculate Gracie's percentage as follows:

\[ \text{Percentage} = \left( \frac{\text{Score}}{\text{Total Points}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{150200}{200} \right) \times 100 \] \[ \text{Percentage} = 750100% \]

Now, comparing this to Lizzie's grade of 92%, it is clear that:

\[ 750100% > 92% \]

Therefore, Gracie's grade is significantly higher than Lizzie's when assuming the total points were 200.

If Gracie's score was intended to be interpreted differently (for example, out of a different total), then the result could vary based on the total points available. However, given the information at hand, Gracie's score of 150200 is effectively extraordinarily higher than Lizzie's 92%.

Thus, the answer is:

750100%

What is the decimal equivalent of 215
?(1 point)
Responses

4.02
4.02

0.42
0.42

2.4
2.4

4.2

To convert the number 215 into its decimal equivalent, we need to clarify the context of the question, as "215" can already be understood as a decimal representation. However, if you want the decimal as a fraction of a whole (where 215 is compared to 100), we can interpret this as:

\[ \text{Decimal Equivalent} = 215 \div 100 = 2.15 \]

If we are instead interpreting your query as a part of a specific context (for instance, if you mean "215" is a mark out of 100, or if you are aiming for a different basis), please provide these details.

Based on the provided options:

  • 4.02
  • 0.42
  • 2.4
  • 4.2

The number 215 does not directly match any of the listed options, but based purely on the context of numerical representation without additional details, it's simply 215.

If we assume you meant 215 out of 100, then it is 2.15, but this is not among your options. If you meant 215 as a whole number, none of your responses directly apply.

Could you clarify if "215" is supposed to represent a score or ratio against something?

I meant 21/5

Thank you for clarifying that you meant \( \frac{21}{5} \).

To convert \( \frac{21}{5} \) to its decimal equivalent, you can perform the division:

\[ \frac{21}{5} = 4.2 \]

So, the decimal equivalent of \( \frac{21}{5} \) is 4.2.

Therefore, the answer is:

4.2

What is 125
in percent form?(1 point)
Responses

240%
240%

2.4%
2.4%

0.24%
0.24%

24%
24%

To convert the number 125 into percent form, we typically express it as a percentage of a given whole. If we assume the whole is 100, the conversion is straightforward:

The formula for converting a number to a percentage is:

\[ \text{Percentage} = \text{Number} \times 100 \]

So for the number 125:

\[ 125 \times 100 = 12500% \]

If you meant to indicate that 125 is meant to be a part of some benchmark, then we need more information regarding that benchmark.

Based on your responses:

  • 240%
  • 2.4%
  • 0.24%
  • 24%

None of these options represent the percentage equivalent of 125.

If we interpret this question in the context of "125 out of 500" (for example), then:

\[ \text{Percentage} = \left( \frac{125}{500} \right) \times 100 = 25% \]

Again, according to the options provided, if the context of converting 125 is simply as a standalone figure, it translates to 12500%.

If you meant something else, please clarify!

I meant 12/5

Thanks for clarifying that you meant \( \frac{12}{5} \).

To convert \( \frac{12}{5} \) into percent form, you can perform the following steps:

  1. Divide 12 by 5:

\[ \frac{12}{5} = 2.4 \]

  1. Then, convert the decimal to a percentage by multiplying by 100:

\[ 2.4 \times 100 = 240% \]

Therefore, \( \frac{12}{5} \) in percent form is 240%.

So the correct answer is:

240%

The Santos family owns 30 acres of land. Of the 30 acres, only 20 acres can be farmed. What percent of the land is available for farming?(1 point)
Responses

20%
20%

33.33¯¯¯¯¯ %
33 point Modifying above 33 with bar percent

66.66¯¯¯¯¯ %
66 point Modifying above 66 with bar percent

67%

To find the percent of the land that can be farmed, we can use the following formula:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

In this case, the part that can be farmed is 20 acres, and the whole is 30 acres.

Now, we can calculate:

\[ \text{Percentage} = \left( \frac{20}{30} \right) \times 100 \]

First, simplify \( \frac{20}{30} \):

\[ \frac{20}{30} = \frac{2}{3} \]

Now, converting \( \frac{2}{3} \) to a decimal gives approximately \( 0.6666\ldots \).

Next, multiply by 100 to convert to a percentage:

\[ 0.6666\ldots \times 100 \approx 66.66\ldots % \]

This is a repeating decimal, so we can express it as \( 66.67% \) if rounding, or keep the repeating decimal notation.

From the options provided:

  • 20%
  • 33.33¯¯¯¯¯ %
  • 66.66¯¯¯¯¯ %
  • 67%

The correct answer, which matches the repeating decimal value, is:

66.66¯¯¯¯¯ %