3. on her math test, heidi correctly
answered 35 of the 40 questions. what
percent of the questions did heidi
correctly answer?
a. 85%
b. 87.5%
c. 90%
d. 92.5%

option B is the correct answer

Step-by-step explanation:

On her math test, Heidi correctly

answered 35 of the 40 questions. This means the total number of questions in the math test is 40. If she was able to answer 35 correctly, that means the number of questions that she failed is total number of questions - the number of questions that she answered correctly. This becomes 40-35 = 5

This means that she failed 5 questions.

To find the percentage of questions that Heidi answered correctly, we will divide the number of questions that Heidi answered correctly by the total number of questions and multiply by 100%. It becomes

35/40 × 100 = 0.875 × 100

= 87.5%

Heidi answered 87.5% of the total questions correctly

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: