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
Ivahew [28]
2 years ago
14

10. At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and th

ree small candles and paid $16.75. Find the cost of each
Mathematics
1 answer:
mel-nik [20]2 years ago
6 0

Answer:

Large candle) $6.25

Small candle) $3.5

Step-by-step explanation:

Let x be the cost of a large candle and y be the cost of a small candle.

Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.

Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75

We have two equations:

2x+5y=30 and x+3y=16.75

   1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5

   2) Subract the two equations

       2x+6y=33.5

      - 2x+5y=30

      =        y=3.5

   3) Plug y=3.5 into one of the equations.

       2x+5(3.5)=30

       2x+17.5=30

       2x=12.5

         x=6.25

   4) Check the work by plugging both variable in the other equation

        6.25+3(3.5)=16.75

        6.25+10.5=16.75

        6.75=16.75

You might be interested in
Find the interquartile range (IQR) of the data in the dot plot below. ms orlando
erik [133]
Answer:
1.75
Step-by-step explanation:
Low- 81
Q1-82.5
Median- 83.5
Q3-84
High- 85
5 0
2 years ago
Explain how you could use a number line to show that -4+3 and 3+(-4) have the same value.which property of addition states that
Anna007 [38]
For -4+3,
1. start with zero
2. move to left (-x axis) for 4 units (-4)
3. then move to right (+x axis) for 3 units (+3)

For 3+(-4)
1. Start with zero
2. Move the point to right side by 3 units (+3)
3. then move the point to the left by 4 units (-4)

For both you'll stop at -1.

8 0
3 years ago
What is the value of y when line m is parallel to line n?
kvasek [131]
Angles B and D are supplementary angles, so if B's angle is 30 degrees, then D's angle at y would be 150, since they have to add to 180.
In short, angle y = 150 
6 0
3 years ago
Read 2 more answers
How wold you put 4/1 as a fraction?
valentinak56 [21]
4/1 is 4. It's the same as saying 4 divided by 1

7 0
3 years ago
Read 2 more answers
In 2 seconds, an elevator travels 40 feet. In 3 seconds, the elevator travels 60 feet. In 4 seconds, the elevator travels 80 fee
professor190 [17]
Y=20x because if it travels 40 in 2 seconds that means in 1 second it traveled 20 so every second the elevator travels 20 so y is the total distance and X is the amount of seconds
5 0
3 years ago
Read 2 more answers
Other questions:
  • Dan plans to carpet hiss 288-square-foot living room. How much will it cost if carpeting costs $28 per square yard. (9ft = 1 yd)
    13·2 answers
  • How do you write 1.8 as a percentage?
    11·1 answer
  • Given the points (10,-9) and (3, 5) find the slope.
    14·1 answer
  • A high speed elevator can rise 500 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator
    13·2 answers
  • As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In h
    14·1 answer
  • Marking people as BRAINLIST
    7·1 answer
  • If DE =11 and CE =27, what is CD?
    6·1 answer
  • Please help me solve this
    7·1 answer
  • Can someone please help me?? :( I will give brainliest
    13·1 answer
  • What is the measure of ZXYZ in the diagram below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!