Which shows the correct solution of the equation 1/2 a + 2/3b = 50 when b=30

Response:

read below

Detailed explanation:

1) Charlotte considered two different methods to define this quantity. Identify these two definitions among the options provided.

Choose 2 answers:

Choose 2 answers:

(Choice A, Incorrect)

WRONG

Profit divided by total number of likes

(Choice B, Checked, Correct)

CORRECT (SELECTED)

Profit divided by number of writers

(Choice C, Checked, Correct)

CORRECT (SELECTED)

Profit divided by expenses

(Choice D, Incorrect)

WRONG

Expenses divided by number of writers

2) Determine which site generates the most profit per investment of resources considering both definitions. Did you achieve the same conclusion for each?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

Yes. Both definitions indicate website A yields more profit per resource spent.

(Choice B, Checked, Correct)

CORRECT (SELECTED)

Yes. Based on both definitions, website B earns more profit for resources utilized.

(Choice C, Incorrect)

INCORRECT

No. The findings of the definitions conflict.

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To determine the total time taken for house cleaning is necessary. Given that Betsy cleans a portion of the house, which takes her 1 hour, we want to find out how long it takes her to clean the entire house. By applying the unitary method, we see that if she cleans part of the house in 1 hour, we can calculate the time required for 1 whole house.

Answer:

7 years

Step-by-step explanation:

Since a graph isn’t provided, I will indicate how many years are involved, and you should be able to deduce it from this. First, let’s [use a calculator] to find 2% of 250, which equals 5. Adding 5 to the total only slightly impacts 2% of the original amount, changing it by 0.1 or 5/50. We can continue adding 5 until we exceed 282, which occurs after 7 increments, calculated as (285 minus 250) divided by 5. Thus, the answer is indeed 7 years. A quick calculation will confirm this.

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!