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
Otrada [13]
3 years ago
14

In order to win a quiz contest, olga must score more than 400 points. She earns 12 points for each right answer, and loses 4 poi

nts for each wrong answer.
write an inequality that represents the number of right answers (r) and wrong answers (w) olga can give to win the contest.
Mathematics
1 answer:
Ket [755]3 years ago
4 0

The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is:  3r-w>100

<u><em>Explanation</em></u>

Number of right answers is  r and number of wrong answers is  w

Olga earns 12 points for each right answer and loses 4 points for each wrong answer.

So, total points earned for r right answers =12r

and total points lost for w wrong answers =4w

That means, <u>her score will be</u>:  (12r-4w) points.

In order to win the quiz contest, Olga must score <u>more than 400 points</u>. So, the inequality will be.......

12r-4w>400\\ \\4(3r-w)>400\\ \\  3r-w>100

You might be interested in
Sheila buys some boxes of pens, with 20 pens in each box. Which expression represents the total number of pens Sheila bought? 20
Mazyrski [523]
The answer is 20p. P represents the number of boxes she buys and 20 is how many pens are in each box.
7 0
3 years ago
The adjusted trial balance of Smith Sign Company follows:
Oksana_A [137]

Following are the general entry to the given question:

For Question 1:

Date             Account Titles and Explanation                   Dr              Cr

31-Jan-2024              Revenue Service                      $17,500  

                                   Summary of Income                                    $17,500

                             (Finishing the revenue account)  

31-Jan-2024     Summary of Income                        $7,100  

                                  Expense of Salary                                     $3,600

                                   Expense on rent                                             $1,800

                        Expense of Depreciation - equipment                   $300

                               Expense on Supplies                                            $400

                                 Expense on Utilities                                           $1,000

                           (To close the expenditure account)  

31-Jan-2024    Summary of Income                           $10,400  

                                Retained Earnings                                    $10,400

                 (To bring net income into line with retained profits)  

31-Jan-2024           Retained Earnings                       $1,000  

                                             Dividend                                             $1,000

               (To close net dividend to retained earnings)  

For Question 2:

A net income of $10,400 is generated. They may compute it by subtracting total expenses from the entire revenue.

Total Revenue= $17,500

Total Expenses=$7,100

\text{Net Income= Total Revenue-Total Expenses}

                  \bold{= \$17,500 - \$7,100} \\\\ \bold{=\$10,400}

  • Please find the complete question in the attachment file.

Learn more:

brainly.com/question/14695332

4 0
2 years ago
Include work pleaseeeee
Angelina_Jolie [31]
Okay so to represent juice we are going to use X, and to represent water we are going to use Y.

We also know that the first two starting equations are:

6x + y = 135

4x + 2y = 110

We can re-arrange the first equation so that it equals y (for now), so it is going to end up looking like this:

y = -6x +135

Now you can take that equation and plug into either one of the starting two equations.  I chose the second equation.  We just substitute what y equals in for y in the equation, so we have:

4x + 2(135 - 6x) =  110

Now solve

4x + 270 -12x = 110

-8x + 270 = 110

Subtract 270 from both sides

-8x = -160

Now divide by -8 on both sides

x = 20

We can now confirm that juice costs $20

Now lets plug that into the equation where we solved for y, to get the actual value of y.

y = 135 - 6(20)

y = 135 - 120

y = 15

The price of water costs $15

From this we can conclude that the cost of juice is $20 and the price of water is $15

5 0
3 years ago
Pls help me guys, I’d really appreciate it
trapecia [35]

Answer:

∠ PQR = 70°

Step-by-step explanation:

The tangent- tangent angle PQR is half the difference of the intercepted arcs.

minor arc PR = 360° - 250° = 110°

Then

∠ PQR = \frac{1}{2} (250 - 110)° = \frac{1}{2} × 140° = 70°

8 0
3 years ago
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a
Verdich [7]
= 3 × 10-11
(scientific notation)

= 3e-11
(scientific e notation)

= 30 × 10-^12
(engineering notation)
(trillionth; prefix pico- (p))

= 0.0000000000
<span>(real number)</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • If lines p and q are perpendicular and the slope of line p is 2 what is th slope of line q
    14·1 answer
  • Score: 0 of 1 pt
    14·1 answer
  • five times the difference of a number and three is the same as three increased by five times the number plus 3 times the number
    7·1 answer
  • Y = 3x + 10<br> y = -7x - 20
    6·1 answer
  • padma mixes 300ml of her favourite drink.she uses 15% orange juice and 5% pineapple juice.the rest is lemonade. how many ml of l
    14·2 answers
  • in a pepper airplane contest, amanda's plane flew 19ft farther than Darren's plane.Darren's plane flew twice as far as Rachel's
    7·1 answer
  • Attila the Hun was a ruler of the Hunnic Empire. The Roman feared him greatly until his death since he made quite a habit of inv
    14·2 answers
  • write a function in terms of t that represents the situation. sales of 10000 decreases by 65% each year.
    7·1 answer
  • The height is??? I somehow got the width
    11·2 answers
  • !!20 points and Brainliest please help!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!