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
Svetlanka [38]
3 years ago
6

Vince’s family runs three lemonade stands during local events. Each stand serves lemonade in small, medium, and large glasses. T

he table gives the number of glasses of each size sold in each stand. Small Medium Large Stand 1 small 12 medium 11 large 6 Stand 2 small 10 medium 6 large 1 Stand 3 small 0 medium 3 large 9 The total collected from each stand was: stand 1, $87; stand 2, $43; and stand 3, $54. What is the price of a medium glass of lemonade? A. $2 B. $3 C. $4.50 D. $5

Mathematics
2 answers:
nalin [4]3 years ago
5 0

Answer:

  B.  $3

Step-by-step explanation:

Let s, m, l represent the prices of small, medium, and large lemonades, respectively. Three equations can be written based on the given revenue:

  • 12s +11m +6l = 87
  • 10s +6m +1l = 43
  • 0s +3m +9l = 54

We can use the last equation to write an expression for l:

  9l = 54 -3m . . . subtract 3m

  l = 6 -m/3 . . . . . divide by 9

Substituting this into the first two equations gives ...

  12s +11m +6(6 -m/3) = 87 . . . . . sub for l in first equation

  12s +9m = 51 . . . . subtract 36, collect terms

Dividing by 3 gives

  4s +3m = 17

__

  10s +6m +(6 -m/3) = 43

  10s + (5 1/3)m = 36 . . . . subtract 6, collect terms

  30s +16m = 108 . . . . . . multiply by 3

Dividing by 2 gives

  15s + 8m = 54

__

We can multiply the first of these by 15 and the second by -4, then add the results to eliminate the s variable.

  15(4s +3m) -4(15s +8m) = 15(17) -4(54)

  60s +45m -60s -32m = 255 -216 . . . . . eliminate parentheses

  13m = 39 . . . . . collect terms

  m = 3 . . . . . . . . divide by 13

The price of a medium glass of lemonade is $3.

_____

Most graphing calculators and available on-line calculators can make solving three equations in three unknowns trivially simple.

MAVERICK [17]3 years ago
3 0

Answer:

3$

Step-by-step explanation:

I did the Plato test

You might be interested in
How many different​ three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 wit
lozanna [386]

Answer:

129 468  

Step-by-step explanation:

I'm not sure if you're supposed to reuse the same numbers just in a different Three digit number. Or if you're supposed to use the number one time and one time only. But if not here's there's some numbers that you could use

He basically all You have to do Is take the numbers and turning them into three digit numbers Without repetition.

Hope this helps you!

Also it's saying that 664 is not allowed Because it they are reusing the six When there's no Extra six to use. So remind you not to use the same number twice!

3 0
3 years ago
A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probab
kenny6666 [7]
Well, before you draw out the first sock, you had 60% chance of getting a white sock since six of the ten socks are white! (6/10)

So, if you were to not replace the first drawn white sock, your percentage goes to 55.5556%! This is because you now have 5/9 socks remaining in the drawer being white!
7 0
3 years ago
Read 2 more answers
A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the
Mademuasel [1]
To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

4 0
3 years ago
A study of diet and weight gain deliberately overfed 16 volunteers for eight weeks. the mean increase in fat was x = 2.81 kilogr
pentagon [3]
We know that : 1 kg = 2.2 pounds.
x = 2.81 * 2.2 = 6.182 pounds
s = 1.32 * 2.2 = 2.904 pounds.
Answer:
The mean increase: x = 6.182 pounds.
The standard deviation: s = 2.904 pounds.
6 0
3 years ago
Which of the following values completes the square or creates a perfect square trinomial for x^2-12x+___
9966 [12]

Answer:

So, 36 completes perfect square

Step-by-step explanation:

we are given

trinomial as

x^2-12x+......

we can square formula

a^2-2ab+b^2=(a-b)

we can see that middle term is 2ab

so, we will factor middle term in 2ab form

12x=2\times x\times 6

We can see that b is 6

so, if we could add 6^2 , then we will get perfect square

x^2-12x+6^2......

x^2-12x+36......

So, we should add 36

so, 36......Answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 2/3+5/6 and put answer in simplest form <br>A)3/2<br>B)9/6<br>C)7/6<br>D)2/3
    15·1 answer
  • HELP please ASAP!!!!!
    5·1 answer
  • What is the solution set of 8x+5&lt;7x-1?
    7·1 answer
  • How do I evaluate this? there’s a picture.
    5·1 answer
  • The sum of two numbers is 12. If one number is subtracted from the other, their difference is -2. Find the numbers
    11·2 answers
  • Tanya is printing a report. There are 96 sheets of paper in the printer, and the number of sheets p left after t minutes of prin
    5·1 answer
  • Can someone help me with this I need a answer ASAP
    7·2 answers
  • Is the following relation a function? *
    6·1 answer
  • Find the volume of the triangular prism.<br> 2.5 m<br> 6 m<br> 3.1 m
    10·1 answer
  • Determine the solution for the following equation: (8x-8) 3/2 = 64
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!