1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Art [367]
3 years ago
9

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseb

urgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?
Mathematics
2 answers:
gregori [183]3 years ago
5 0
Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
 x = 6.4
The maximum number of hamburgers he can sell is 6
NemiM [27]3 years ago
3 0

Answer:

The maximum value of hamburgers is 6

Step-by-step explanation:

Let

x-------> the number of hamburgers

y-----> the number of cheeseburgers

we know that

2.50x+3.50y\leq 30 -------> inequality that represent the situation

For y=4

substitute in the inequality and solve for x

2.50x+3.50(4)\leq 30

2.50x+14\leq 30

2.50x\leq 30-14

2.50x\leq 16

x\leq 6.4

so

The maximum value of hamburgers is 6

You might be interested in
If 18 is more than 2 times a number is -10, what is the number
AleksAgata [21]

Answer:

-14

Step-by-step explanation:

-10-18=-28 -28/2=-14

7 0
3 years ago
In a restaurant, the proportion of people who order coffee with their dinner is p. A simple random sample of 144 patrons of the
mote1985 [20]
<h2>Answer with explanation:</h2>

Given : In a restaurant, the proportion of people who order coffee with their dinner is p.

Sample size : n= 144

x= 120

\hat{p}=\dfrac{x}{n}=\dfrac{120}{144}=0.83333333\approx0.8333

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-

Null hypothesis : H_0: p\geq0.85   [ it takes equality (=, ≤, ≥) ]

Alternative hypothesis : H_1: p  [its exactly opposite of null hypothesis]

∵Alternative hypothesis is left tailed, so the test is a left tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.83-0.85}{\sqrt{\dfrac{0.85(1-0.85)}{144}}}\\\\=-0.561232257678\approx-0.56

Using z-vale table ,

Critical value for 0.05 significance ( left-tailed test)=-1.645

Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.

Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.

8 0
2 years ago
The art Club is having a fundraiser, and 198 people are attending. if 12 people can sit at each table, what is the least number
vitfil [10]
17 tables because you need to divide 198 and 12 and yu get 16.5 but you have to round it because you cant leave the 5 people out so it would be 17
7 0
3 years ago
Read 2 more answers
The national mall is approximately 6,400,000 ft.². If an event organizer estimate the density at 4 ft.² per person, approximatel
Naddika [18.5K]

Answer:

1,600,000

Step-by-step explanation:

divide 6,400,000 by feet per person

3 0
3 years ago
Paul and Art are going to start a business selling fresh vegetables in their neighborhood. They
bearhunter [10]

The system of 5x + 2y ≤ 25 is given by 20x + 15y ≤ 120 and 5x + 2y ≤ 25

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the cucumber and y represent the amount of carrots, hence:

20x + 15y = 2(60)

20x + 15y ≤ 120  (1)

Also:

5x + 2y ≤ 25 (2)

The system of 5x + 2y ≤ 25 is given by 20x + 15y ≤ 120 and 5x + 2y ≤ 25

find out more on Equation at: brainly.com/question/2972832

5 0
2 years ago
Other questions:
  • There were 14 people at home. Ten people were watching a football game. Four people were playing a board game. Eight people left
    5·2 answers
  • A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table show
    15·2 answers
  • Please Help, Im having trouble with this
    10·2 answers
  • One canned juice drink is20%
    6·1 answer
  • Assume running consumes 103 calories per mile. If you run 9-minute mile, what is your average output in watts, during a 1-hour r
    15·1 answer
  • A 16-fl oz bottle of juice cost 2.00 what is the unit cost
    5·2 answers
  • What is the formula to find the volume in a rectangular ​
    5·1 answer
  • Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
    10·1 answer
  • It takes 14 pints of blueberries to make 4 jars of blueberry jam.
    15·1 answer
  • Wut is the answer for -5t = -45
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!