On a final exam for math, Lauren was required to answer a combination of at least 15 equations or word problems. Lauren knew that each equation would take her 5 minutes to solve and each word problem would take 8 minutes. Lauren had 120 minutes to complete the final exam. Write an inequality for each constraint. Use the

‾‾√

x

‾‾√

x

button above to type formulas with appropriate inequality symbols. (Hint: one constraint is time and the other is the number of needed items. Let x be the number of equations and y be the number of word problems solved.)

Number of questions constraint:

x + y ≥ 15

Time constraint :

5x + 8y ≤ 120

Step-by-step explanation:

Let :

x = number of equations

y = number of word problems

Number of answers required = atleast 15

Equation takes 5 minutes

Word problem takes 8 minutes

Time available to complete exam = 120 minutes

Constraints :

Number of questions required

Total questions shout be atleast 15

x + y ≥ 15

Time constraint :

5x + 8y ≤ 120

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.

2,160 π

step-by-step explanation: