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
lions [1.4K]
3 years ago
15

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

ected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?
Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

  • 12x +4y = 152
  • 32x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

<em>Comment on Cramer's Rule</em>

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

You might be interested in
19,050,000 in scientific notation
inn [45]
19.05*10 power 5

hope it helps
7 0
3 years ago
Not sure need help ​
Greeley [361]
29/90 use the hint:)
6 0
3 years ago
What percent of 134 is 66? (To the nearest tenth of a percent)
seraphim [82]

Answer:

66 is 49.2537313% of 134

Step-by-step explanation:

so 49.26

7 0
3 years ago
Read 2 more answers
Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.
user100 [1]
Given:$75
25 hours

Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700

Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000

The most cost effective company will be Painting USA whose charge will amount to $700.
3 0
3 years ago
Find the volume of the prism.
leonid [27]

Answer:

Step-by-step explanation:

Volume = L × W × H

Length L = 17in

Width W = 7in

Height H = 7in

Volume V = 17×7×7

V = 833

Volume = 833 in^3

6 0
3 years ago
Other questions:
  • NEED ANSWER TODAY PLZ!!<br><br> A. -3<br> B. -4<br> C. -1 and 0.75<br> D. 1
    11·2 answers
  • The distances in space are measured in light-years. The distance from Earth to a star is 5.9 × 1013 kilometers. What is the dist
    5·1 answer
  • Two urns both contain green balls and red balls. Urn I contains 6 green balls and 4 red balls and Urn II contains 8 green balls
    8·1 answer
  • What is 1/4 + 1/2 plzzz help ​
    9·2 answers
  • A polygon has 35 diagonals. How many sides does it have?
    11·1 answer
  • A certain first covers an area of 4100 km^2. Each year this area decreases by 3.75 percent. What will the area be after 11 years
    7·1 answer
  • Convert 6.5 ft to inches?
    12·1 answer
  • How to divide 704 by 3 using long division
    8·1 answer
  • Find the area of the shape shown below
    8·1 answer
  • Your baseball team is holding a silent auction as a fundraiser dinner to pay for the team uniforms. The list shows all the expen
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!