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
What is the greatest common factor of 24, 18, and 36?
slava [35]

Answer:

most likely 6

Step-by-step explanation:

because factors of 36 is 4,2,6 etc factors of 18 is 6 and 24 and it the gcf

8 0
3 years ago
Read 2 more answers
A manatee surfaced for air 6 times in 240 seconds. How many seconds went by before the manatee surfaced the fourth time if it he
Norma-Jean [14]
I think it is 160 seconds
3 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Alina [70]

Answer:

\huge\boxed{\sf 46}

Step-by-step explanation:

<u>Formula for area of rectangle:</u>

= length × width

<u>Area of the smaller rectangle:</u>

length = 7

width = 6

= 7 × 6

= 42

<u>Area of the larger rectangle:</u>

length = 7 + 4 = 11

width = 6 + 2 = 8

= 11 × 8

= 88

<u>Area of the shaded region:</u>

= Area of the larger rectangle - Area of the smaller rectangle

= 88 - 42

= 46

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>

5 0
2 years ago
Explain what a conjecture is
shusha [124]
A conjecture is like a guess, opinion, or conclusion that is based off of incomplete information.

Hope this helps!
Can u plz mark me as brainliest? I really need it!
6 0
3 years ago
Read 2 more answers
Which graph has a slope of 1/4?
Arte-miy333 [17]

Answer:Please include images of the graphs!

8 0
3 years ago
Read 2 more answers
Other questions:
  • Hi ther i need help can u help me
    9·1 answer
  • John is looking up at the top of the Empire State Building from 1 mi. away and measures the angle of elevation to be 11 degrees.
    8·2 answers
  • Given cos theta=24/25 and is located in Q3, Evaluate the rest of the trigonometric functions:. 1. sin theta=. 2. tan theta=. 3.
    5·1 answer
  • 4)Jane has a bag of marbles. In the bag there are 4 red marbles, 8 blue marbles and 5 green
    9·1 answer
  • Two sides of a triangle
    7·1 answer
  • The volume of a gas "V" varies inversely with the pressure "P" put on it. If the volume is 360cm³ under a pressure of 20 kgcm2,
    8·1 answer
  • Help me plz and ty....​
    7·2 answers
  • In 64.71, in which place is the 4?​
    9·2 answers
  • 2/5 m = ____ cm<br><br><br><br> 5/6 year = _____ months <br><br><br> ONLY IN FRACTION
    9·1 answer
  • Graph a line with a y-intercept of 3 and containing the point (2, 5).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!