Question

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents the solution set that shows the number of passengers, LaTeX: pp, that can still load the plane?
p < 78
p ≤ 68
Correct! p ≤ 78
p ≥ 78


Sara is serving wings and burgers at her party. Wings cost $6.00 per serving and burgers are $3.00 each. Sara knows that at least 4 of her friends want wings. Sara must spend less than $45.00. Sara graphs a system of inequalities to determine how many servings of each kind of food she could serve to stay within her budget.

According to the dark blue area on the graph, what is the maximum number of burgers that Sara could serve with 6 servings of wings?

the answer is 2 the other ones is incorrect which is 3 4 5






An Uber driver charges $0.50 per mile and an initial fee of $3. A Lift driver charges $0.60 per mile and an initial fee of $2. Which inequality represents the situation where the cost of using Lift is greater than taking an Uber, where LaTeX: mm is miles?


Correct answer yall ..... it is 0.50 m + 3 < 0.60 m + 2


hope this helps yhu out

Answer 1

Answer:

Problem 1.

If the plane can still load p no. of passengers , then,

p ≤ 78

Problem 2

With 6 servings of wings, Sarah can serve maximum  2 burgers.

Problem 3

x > 10  [where the passenger travels x miles by either Uber or Lift car]

Step-by-step explanation:

Problem 1

Let, the no. of passengers that the plane can still load is p.

Then, according to the question,

p ≤ (118 - 40)

⇒ p ≤ 78

Problem 2

Let, Sarah can serve x no. of wings and  y no. of burgers.

Then according  to the question,

6x + 3y < 45 ------------(1) and

x ≥ 4 --------------(2)

Now, for 6 servings of wings or for x = 6,

from (1)

3y < 9

⇒ y < 3

So, with 6 servings of wings, Sarah can serve maximum 2 burgers.

Problem 3

For, going x miles the Uber driver charges,

$ ( 3 + 0.5x)

while the Lift driver charges,

$ ( 2 + 0.6x)

So, the cost of Lift is greater than Uber when

2 + 0.6x > 3 + 0.5x

⇒0.1x > 1

⇒x > 10