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
maw [93]
3 years ago
7

4 plates and 3 cups cost 20.70 dollars. 5 plates and 4 cups cost 26.40 dollars . each plates cost the same amount as the other p

lates , and each cup cost the same amount as the other cups. what is the cost of 1 plates ? what is the cost of 1 cup?
Mathematics
1 answer:
Basile [38]3 years ago
7 0
Here, we need to construct 2 linear equation.
Let x be the plate and y be the cup.
1) 4x + 3y = 20.70
2) 5x + 4y = 26.40

From equation 1, we solve for y.
3y = 20.70 - 4x
y = (20.70 - 4x) / 3

Substitute into equation 2.
5x + 4((20.70 - 4x) / 3) = 26.40
5x + 27.60 - 5.33x = 26.40
-0.33x = 26.40 - 27.60
-0.33x = -1.2
x = 3.64

We already get value of x. Now, calculate for value of y.
y = (20.70 - 4x) / 3
y = (20.70 - 4(3.64)) / 3
y = 2.05

The cost for 1 plate is 3.64 dollars and 1 cup is 2.05 dollars.
You might be interested in
The lines a and b intersect at point C.<br><br> What is the value of y?
Amanda [17]

Using the definition of vertical angles, the value of z is: 15.

<h3>Vertical Angles Pair</h3>

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

2z + 10 = 40

2z = 40 - 10

2z = 30

z = 30/2

z = 15

Therefore, using the definition of vertical angles, the value of z is: 15.

Learn more about vertical angles on:

brainly.com/question/1673457

7 0
2 years ago
Read 2 more answers
9. A pet store has 45 mice. The number of mice is 22 more than the number of cats. Which equation can be solved to find the numb
madam [21]
Answer

C. c+22=45

Working
6 0
3 years ago
The price of a video game was reduced from $60
Zigmanuir [339]
You take the orignal price of the video game and subtract the new price to see how much it was reduced. 60-45 = 15. then you take the reduced amount of the game (15) and divide by the original price (60). 
you get 25%
your answer is B
7 0
3 years ago
Read 2 more answers
How many sucrose molecules are in 3.0 moles of sucrose
vredina [299]
3*6.022*10^23 no of molecules in 3.0 moles of sucrose
8 0
3 years ago
the price of a dress is $40.00. it went to sale at a discount of 25%. if the sales tax is 6% what is the final cost of the dress
Delvig [45]
 So first you figure out what 25% of $40.00 is whitch would be $30.00. Then what i think you would do next is add 6% of the cost of the dress. 6% of $30.00 is $1.80. so $30.00 + $1.80 = $31.80 dollors for the dress.
8 0
3 years ago
Other questions:
  • Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting
    8·1 answer
  • For which equation would x = 3 be a solution?
    11·1 answer
  • What ratio is equivalent to 24: 28
    13·1 answer
  • The temperature at 9am was 4 degrees Celsius. At 7pm the temperature was
    10·1 answer
  • The sum of two numbers is 15 and
    7·1 answer
  • Like what is the square root of 35 like what is it a real number? irrational and like that
    15·1 answer
  • Help asap!<br> its a surface area problem, please explain your answer.
    13·1 answer
  • the company needs to know how many books will fit into one box.Each book's cover has an area of 25 1/8 square inches. Each books
    10·1 answer
  • Write the zero that corresponds to the factor (10x-9)
    5·1 answer
  • Write 2.04 × 10 ⁴ as an ordinary number
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!