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
stich3 [128]
3 years ago
12

Ryan bought 6 apples and 9 peaches for a total of $7.86. Madi bought 4 apples and 5 peaches for $4.82. How much are apples and p

eaches? Write and solve a system of equations to answer the question. show how you got it
Mathematics
1 answer:
Scilla [17]3 years ago
8 0
Let, x = The cost of an apple
y = The cost of a peach

6x + 9y = 7.86 - - - - - - - - 1
4x + 5y = 4.82 - - - - - - - - 2

From equation 2,
4x =4.82 - 5y
x= (4.82 - 5y) ÷ 4 - - - - - - - 3

Substitute 3 into 1,
6x + 9y = 7.86
6 [(4.82 - 5y) ÷ 4] + 9y = 7.86
(28.92 - 30 y) ÷4 + 9y = 7.86
28.92 - 30y + 36y = 31.44
6y=2.52
y= 0.42

Substitute y = 0.42 into 2
4x + 5y= 4.82
4x + 5 (0.42) = 4.82
4x + 2.1 = 4.82
4x= 2.72
x= 0.68.

Thus, an apple costs $ 0.68 and a peach costs $ 0.42.

You might be interested in
In drawing a histogram, which of the following suggestions should be followed?
ELEN [110]

Answer:

B) The heights of the bear should equal the class frequency.

Step-by-step explanation:

In drawing a histogram, the heights of the bear should equal the class frequency. as in histogram height of bar represent the frequency density and  it´s area represent the frequency of class interval. Frequency distribution are represented by mean of rectangle. Earlier in the bar graph, width of bar does not represent any information, however, histogram´s bar width represent class interval.

8 0
2 years ago
Which is a correct first step in solving the inequality-4(2x - 1) > 5 - 3x?
prisoha [69]
The answer is distribute -4 to get -8x+4>5-3x
3 0
3 years ago
Read 2 more answers
If the total labor cost is $865,000 and 12 percent is for concession staff, how much of the labor cost is for concession staff?
stepladder [879]
12% of $865,000 is $103,800
4 0
3 years ago
Will give brainliest !! Helpppp please!
Drupady [299]
The answer is A your answer
6 0
3 years ago
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu
notka56 [123]

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.


\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi

5 0
2 years ago
Read 2 more answers
Other questions:
  • Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle
    13·1 answer
  • A bank loaned out $19,000, part of it at the rate of 6% per year and the rest
    5·1 answer
  • How to help explain decimals for 4th grade
    9·1 answer
  • 7.8 more than the quotient of h and 5 is w
    13·1 answer
  • Rebecca wants to buy a bracelet that is $69.99 but today she can buy it for 20% off the price. What is the amount she will save?
    12·1 answer
  • Y = 10x<br>Select the answer showing the ratio x : y<br>1:10 a <br>10:1 b <br> 1: 100 c <br>1:1 d ​
    9·1 answer
  • Which data set is the most spread from its mean?
    5·2 answers
  • Surface area of a triangular prism
    13·1 answer
  • In a certain office tower the ground level is indicated by 0, and the underground levels are indicated by –1, –2, –3, and so on.
    5·1 answer
  • Help me to do <br>this simplify​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!