Your math teacher tells you that next week's test is worth 100 points and contains 52 problems. your teacher says there will be multiple cholce questions that are 1/2 point each and essay questions that are 2.5 points each. you are trying to figure out which type of question to spend the most time studying for. will there be more multiple choice or more essay questions on your test?

There will be more essay questions

Explanation:

Assume that the number of mcq questions is x and that the number of essay questions is y

We are given that:

1- The total number of questions is 52.

This means that:

x + y = 52

This equation can be rewritten as:

y = 52 - x > equation I

2- Each mcq question is worth 0.5 point and each essay question is worth 2.5 points. Also, the total number of points is 100

This means that:

0.5x + 2.5y = 100 > equation II

Substitute with equation I in equation II and solve for x as follows:

0.5x + 2.5y = 100

0.5x + 2.5(52-x) = 100

0.5x + 130 - 2.5x = 100

-2x = -30

x = 15

Substitute with x in equation I to get y:

y = 52 - x

y = 52 - 15

y = 37

Based on the above:

Number of mcq questions = x = 15 questions

Number of essay questions = y = 37 questions

Therefore, there would be more essay questions which means you should spend more time studying essay questions.

Hope this helps :)

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn