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
Karo-lina-s [1.5K]
4 years ago
9

LINEAR SYSTEM WORD PROBLEM *round answer to the nearest cent*

Mathematics
1 answer:
pshichka [43]4 years ago
3 0
Drinks, x, and popcorn, y.
125.50 = 12y+7x
87.50=6y+8x

To solve for the cost of drinks, x, isolate the variable
125.50 = 12y + 7x
subtract 12y from both sides
125.50 - 12y = 7x
divide both sides by 7
125.50/7 -12/7y = x

plug that into the other equation
<span>87.50=6y+8x
87.50 = 6y + 8(125.50/7 - 12/7y)
Distribute </span><span>8(125.50/7 - 12/7y)
Then combine like terms
then subtract and divide to isolate y</span>
Solve for y
y = 7.25

Plug that into the first equation to solve for x
<span>125.50 = 12y+7x
125.50 = 12(7.25) + 7x
125.50 = 87 + 7x
subtract 87 from both sides
38.5 = 7x
divide both sides by 7
5.5 = x

There, you have the cost of the drinks, $5.5, and the cost of the popcorn, $7.25.

To check: you would plug in what you got for x and y into the original equations and see if they equal right... I did it on paper and it was right!!

Hope this helps</span>
You might be interested in
What is another. Name for 23 ten thousand
Genrish500 [490]
23 x 10,000 = 230,000

Another name for 23 ten thousand is: Two hundred thirty thousand

And another name also is: 230 Thousands
3 0
3 years ago
Read 2 more answers
ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play
cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0
3 years ago
If it's 2:30 PM what time is it gonna be in 45 minutes
natta225 [31]
3:15pm hope this helps bff
7 0
3 years ago
Mr. King divides his entire class into 8 stations. He assigns 4 students to each station. How many students are in the class?
weqwewe [10]

Answer:

32 students are in the class.

Step-by-step explanation:

8 * 4 = 32

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!! :D</u></em>

<em><u>-XxDeathshotxX</u></em>

8 0
3 years ago
Read 2 more answers
The points (1,2),(1,-3),and (5,-3) form a triangle on the coordinate plane. b. What is the perimeter of the triangle?
Alexeev081 [22]
The perimeter of the triangle is 13.56 units.

The perimeter of a shape on a coordinate plane is found by finding the distance between all points, and then adding them together. It's easier to write it out than to type so I'll attach a photo of my work.

8 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B1%7D%7B154%7D%20%20%5Csqrt%5B4%5D%7B%3F2%7D%20" id="TexFormula1" title="8 \frac{
    14·1 answer
  • Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.
    12·2 answers
  • A boy purchased(bought) a party length sandwich 59 in long. He wants to cut it into three pieces so that the middle piece is 6in
    14·1 answer
  • Factor the expression completely over the complex numbers.<br><br> y^4+12y^2+36
    10·2 answers
  • What is t -9 + t = 12
    14·2 answers
  • Write an addition fac that has the same sum as 3 + 7
    5·1 answer
  • Find the missing length indicated.
    7·1 answer
  • Find the equation of the line.<br> y = [? ]x + [ ]
    12·1 answer
  • What is the value of x
    14·1 answer
  • To celebrate the first day of winter, Lin is putting magnets on some of the lockers (pre-COV ID of course). There are 100 locker
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!