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
UkoKoshka [18]
3 years ago
15

let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve

the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
Mathematics
1 answer:
kiruha [24]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

You might be interested in
Just Plz hlep if u are nice and want 10 pts
Marina86 [1]

Answer:

Exact Form:

20/10

Decimal Form:

2.9

Mixed Number Form:

2 9/10

Step-by-step explanation:

7 0
2 years ago
What is the area of this trapezoid HELP PLEASE
Zepler [3.9K]

Answer:

Step-by-step explanation:

The answer is 44

6 0
3 years ago
Read 2 more answers
State the hundred thousands place for 7,832,906,215
juin [17]

Answer:

Step-by-step explanation:

6 is the thousands place

0 (right next to it) is the 10 thousands place

9 is the hundred thousands place. There is only 1 nine present so the answer is unique.

4 0
3 years ago
omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational
marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:  

"Will donate up to $500, the money will be divided between two charities"

(a) X + Y = \$ 500

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) Y \geq 4X

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0
2 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
Yuki888 [10]

Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.

Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.

For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.

Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.

In terms of symbols, the law of detachment is stated as

  • If P, then Q
  • P is true
  • Therefore Q is true

Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.

3 0
3 years ago
Other questions:
  • What is the projection of (4,4) onto (-7,3)?
    5·1 answer
  • 175 mm= how much m <br> HELP ME CAUSE IDK
    8·1 answer
  • What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,5
    10·1 answer
  • What is the solution to the system of equations?
    9·1 answer
  • The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cos
    10·1 answer
  • How to multiply fractions
    14·2 answers
  • im stupid so, if my grade was at a 90% (A) and my tests were worth 50% and i get a 40% on the test, what's my current grade now?
    14·1 answer
  • Solve for X<br><br> I HAVE THE ANSWER JUST SHOW ME THE WORK AND THATS IT PLS
    10·2 answers
  • There is a contest at school where students guess how many dimes are in a jar. The person whose guess is closest to the actual v
    13·1 answer
  • Katrina is going to order sweatshirts for her girls mentoring group. The sweatshirts will have the group logo printed on the fro
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!