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
Ierofanga [76]
3 years ago
6

A new restaurant is to contain​ two-seat tables and​ four-seat tables. Fire codes limit the​ restaurant's maximum occupancy to 7

2 customers. If the owners have hired enough servers to handle 22 tables of​ customers, how many of each kind of table should they​ purchase?
Mathematics
1 answer:
Pavel [41]3 years ago
3 0
Let t and f be the number to two and four seat tables respectively.

t+f=22, solve for t

t=22-f, then we are told that capacity must be less than or equal to 72 people.

2t+4f≤72, using t found above in this equation we get:

2(22-f)+4f≤72 perform indicated multiplication on left side

44-2f+4f≤72  combine like terms on left side

44+2f≤72  subtract 44 from both sides

2f≤28  divide both sides by 2

f≤14  Since f=integer

f=14, and since t=22-f

t=8

So they should purchase 14 four seat tables and 8 two seat tables.
You might be interested in
Given the equation shown, what is the coordinates of the center? *
horrorfan [7]

Answer:(12,-5)

Step-by-step explanation: if you have (x-12)^2+(y+5)^2=100 you switch the signs of 12 and 5 opposite

7 0
3 years ago
Read 2 more answers
Fill in the table using the graph.
Makovka662 [10]
Find an x value and f(x) is just it's y value. we can start with x=0

when x=0 y= -3

when x= 2 y= -2

and so on, choose easy to read numbers.

you can finish the rest, let me know if you wanna check your answers or if you are stuck.
8 0
3 years ago
Read 2 more answers
In the following figure, m∠A = 55° and the m∠ACE = 86° . What is the m∠E = ? Show your work.
Paladinen [302]

the answer is

<E=31°.............. ..

3 0
3 years ago
John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.
gayaneshka [121]

Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:

3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

21/44(x-88)=420

21/44x-42=420

21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

6 0
3 years ago
Find the slope of the line
Lilit [14]

Answer:

3/4

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Can anyone figure this out for me please? It would be greatly appreciated.
    6·1 answer
  • if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y
    10·1 answer
  • Describe how to use mental math to determine if a ratio is simplified
    5·1 answer
  • Isaac has piece of rope that is 5 yards long.Into how many 1/2 yard pieces of rope can Isaac cut the rope
    10·1 answer
  • A rectangle's length is 6 units greater than its width. write an equation expressing the rectangle's area, a, as a function of w
    11·2 answers
  • Dina found two angles of a parallelogram to be equal to 40 degree and 50 degree. What should we conclude about Dina's calculatio
    11·1 answer
  • A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000
    7·2 answers
  • 8/m - b/n simplified
    14·2 answers
  • Every row consists of 2,3 and 2 seats each. If there are 51 horizontal rows, and 13 seats are empty. How many passengers are on
    12·1 answer
  • Prank em john!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!