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
anyanavicka [17]
3 years ago
14

The sum of three numbers is 11 The sum of twice the first number five times the second number and six times the third number is

32 The difference between three times the first number in the second number is 22 find the three numbers

Mathematics
1 answer:
Lunna [17]3 years ago
3 0
<h3>Given</h3>

three numbers: a, b, c

a+b+c = 11

2a +5b +6c = 32

3a -b = 22

<h3>Find</h3>

a, b, c

<h3>Solution</h3>

The equations can be represented by the augmented matrix

\left[\begin{array}{ccc|c}1&1&1&11\\2&5&6&32\\3&-1&0&22\end{array}\right]

A graphing calculator gives the solution

(a, b, c) = (8, 2, 1)

The three numbers are 8, 2, and 1.

_____

If you want to solve this by hand, you could use Cramer's rule, or you could do the row operations by and. For example, subtract twice the first equation from the second to get

... 3b +4c = 10

Subtract 3 times the first equation from the third to get

... -4b -3c = -11

These two equations can be solved by your favorite method to find

... b = (-44 +30)/(-16 +9) = -14/-7 = 2 . . . . . using Cramer's rule

... c = (-40 +33)/-7 = 1

Then the first equation can be used to find <em>a</em>.

... a + 2 + 1 = 11

... a = 8 . . . . . . . . . . . as above

You might be interested in
You bought a video game for $35. You got it on sale
never [62]

Answer:

Sorry I feel bad I don't kt the answer sorry hope you find the answer tho

Step-by-step explanation:

sorry

7 0
3 years ago
Question In Picture, Thanks.
Ainat [17]
6z to the 4th power - 2z to the 3rd power
5 0
3 years ago
Which is the least common denominator of 5/6 3/8
Tems11 [23]

To find the least common denominator, or lcd, you have to find the least common multiple, or lcm. To do that you find the multiples of each number until they equal each other. I set up a chart like this,

6 -

8 -

and then I start listing multiples so,

6 - 6, 12, 18, 24,

8 - 8, 16, 24,

I stop after I find a number they are both equal to. So to get to that number I would multiply 8 by 3, and 6 by 4. This gives me 24 as the lcd. If you need the lcd to add the fractions together, then whatever you did to the bottom do to the top. So 5/6 would become 20/24 and 3/8 would become 9/24.


Answer: 24

4 0
3 years ago
I am giving a lot of points so please be correct and dont answer if you dont know. I will mark brainliest if you are correct
Dennis_Churaev [7]

Answer:

segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.

Step-by-step explanation:

3 0
3 years ago
The sets of numbers 6, 8, 10 and 5, 12, 13 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain
9966 [12]
Well you can use the Pythagorean Theorem Formula ax^{2}+bx^{2}=cx^{2}. Just plug in the first 2 least numbers into a and b, and see if your answer(c) is equal to the last number. Hope I helped!
4 0
3 years ago
Read 2 more answers
Other questions:
  • How many zeros does the function f(x) = 2x14 − 14x6 + 27x3 − 13x + 12 have?
    11·1 answer
  • Find the solution to this system: 5x-2y=-11 -2x+5y=17 Multiplying equation 2 by will create additive inverses for the x-coeffici
    9·1 answer
  • For f(x)=1/x-5 and g(x)=x^2+2 find (gof)(6)
    7·1 answer
  • The difference of this equation.
    13·1 answer
  • A recipe for brownies calls for 1/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? THA
    11·1 answer
  • 6000x50 what is the answer?
    6·1 answer
  • Which of the following sets of ordered pairs is a function?
    7·1 answer
  • Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than
    10·1 answer
  • HELP ITS FOR 25 POINTS, i really needa finish
    15·1 answer
  • David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, afte
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!