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
andreyandreev [35.5K]
3 years ago
15

Solve the system using substitution. 3x+5y=15 2x+4y=8

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

x=10

y=-3

Step-by-step explanation:

3x + 5y= 15...eqn. 1

2x + 4y= 8...eqn. 2

multiply eqn. 1 by 2 and eqn. 2 by 3

6x + 10y = 30...eqn. 3

<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>

0 - 2y = 6

divide both sides by the coefficient of y which is -2

<u>- 2y</u> = <u>6</u>

- 2 -2

y= -3

Put y= -3 into eqn. 1

3x + 5(-3) = 15

3x - 15 = 15

3x =15 + 15

<u>3x</u> =<u> 30</u>

3 3

x = 10

Therefore X= 10 and Y= -3

You might be interested in
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
Lynna [10]

Answer:

eh width = 103.5 inches

Step-by-step explanation:

x = width

Length = (x/2 - 5 )*6

so 384=x+3x-30

414=4x

x=414/4=103.5 inches

5 0
2 years ago
The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Liz
scoundrel [369]

Using the Mean Absolute Deviation(MAD) concept, it is found that:

a) The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

b) The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

<h3>What is the mean absolute deviation of a data-set?</h3>

  • The mean of a data-set is given by the sum of all observations divided by the number of observations.
  • The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
  • The mean absolute deviation represents the average by which the values differ from the mean.

Item a:

For the Jumping Jackrabbits, the mean and MAD are given by:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

Item b:

The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

More can be learned about the Mean Absolute Deviation(MAD) concept at  brainly.com/question/3250070

#SPJ1

4 0
2 years ago
The average rate of change of f(t) from t=2 to t=6 is
zhuklara [117]
4 is the correct answer
5 0
3 years ago
Rock stars Ewe and Eye were both born on Sunday, January 1. When Ewe turned 13 years old Eye could not have been _____ years old
OLEGan [10]
The answer is C because
5 0
3 years ago
22.  What is an equation of the parabola with vertex at the origin and focus (−4, 0)?
miv72 [106K]
The correct answer for the question shown above is the second option (Option b), and the option cwhich is:

 b) x = -1/16y^2
 c) y=-1/16x^2

 
The explanation is shown below:

 
The focus of a parabola is (h,k+1/4a), then, you have:

 h,k= (0,0)
 1/4a=1/4(-1/16)

 Then, you obtain:

 1/4a=-4

 Therefore, the focus of the equation of the parabola x = -1/16y^2 and the parabola y=-1/16x^2 <span>is F(0-4)
</span>
 So, as you can see, the correct answer is the options mentioned before, the option b and the option c.
 
7 0
3 years ago
Other questions:
  • Complete the equation of the line through (2,1) and (5,-8)<br> WORTH 20 POINTS
    15·2 answers
  • Substitution method for 7x-2y=1 &amp; x-2y=1
    7·1 answer
  • How to solve (-1,8) and (8,-8)
    6·1 answer
  • Someone please help these practice problems are hard
    12·1 answer
  • A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t
    10·1 answer
  • Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample
    11·1 answer
  • Help middle school question!!!
    15·2 answers
  • A train leaves LA at 2:00 pm and heads north at 50 mph. If the next train leaves the station three hours later and heads north a
    13·1 answer
  • A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that
    10·1 answer
  • Please answer this. I need and will give
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!