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
kipiarov [429]
3 years ago
10

Solve the system by the elimination method.

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

C. (-4,-⅔)

Step-by-step explanation:

Elimination Method:

R - 9S = 2

3R - 3S = -10

I'll solve for X first by eliminating S.

R - 9S = 2

-3(3R - 3S = -10)

R - 9S = 2

-9R + 9S = 30

(Add the equations)

-9R = 32

(Divide both sides by -9)

-9R/-5 = 32/-5

R = -4

Substitute the R value into either equation:

R - 9S = 2

(-4) - 9S = 2 (Add 4 to both sides of the equation)

+4 +4

-9S = 6 (Divide both sides of the equation by -9)

-9S/-9 = 6/-9

S = -6/9

Simplify

S = -2/3

Solution: (-4,-⅔)

Hope this helped

You might be interested in
Write repeating decimal 0.027272727 ... as a fraction. <br><br> Reduce the fraction completely.
umka2103 [35]

Answer:

3/110

Step-by-step explanation:

3 0
2 years ago
Help mee plzz :))tyy
Dimas [21]

Step-by-step explanation:

Given prism has:

Length = 5 in, width = 4 in & height = 6 in

Surface area of prism

2(lw + wh + lh) \\  = 2(5 \times 4 + 4 \times 6 + 5 \times 6) \\  = 2(20 + 24 + 30) \\  = 2 \times 74 \\  = 148 \:  {in}^{2}  \\

4 0
3 years ago
when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative
Mekhanik [1.2K]

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation:

8 0
2 years ago
A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir
miskamm [114]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

  • 16 chairs; 24 tables
  • Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
  • Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608  
  • 15 chairs; 18 tables
  • Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
  • Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480  
  • 12 chairs; 28 tables
  • Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
  • Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636  
  • 18 chairs; 20 tables
  • Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
  • Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

  • 15 x 65 + 18 x 90 = X
  • 975 + 1,620 = X
  • 2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Learn more in brainly.com/question/14728529

8 0
2 years ago
What are whole numbers, integers, and rational numbers?
professor190 [17]

Answer:

Integers

Rational Numbers

Whole Numbers

In their respectful orders.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which transformation is not always congruent with its original image?
    7·2 answers
  • on three days last week maria ran 3/4 mile 7/8 mile and 3/5 mile. List the distances in order from least to greatest
    6·2 answers
  • Last week's Apple sold for 3.99 per bag this week price of the bag of apples is 3.39 if Margaret buys 20 bags of apples this wee
    8·1 answer
  • PLZ HELP ME!!!
    7·1 answer
  • What is the surface area of the cylinder?
    5·2 answers
  • What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 En
    14·2 answers
  • Find the value of a in the diagram of the right triangle. Round to the nearest tenth.
    11·1 answer
  • Find the equation
    5·1 answer
  • The sides of a rectangular room are perpendicular to each other.
    10·1 answer
  • I got it lucky I am jsut happy I got into a specialized
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!