in an academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, School A starts with 165 points and given the same number of correct and incorrect answers. School B starts with 65 points and given no incorrect answers and the same number of correct answers as School A. The game ends with the Schools tied.

Part A: Which equation models the scoring in the final round and the outcome of the contest?
A.) 12x + 5x - 165 = -12x + 65
B.) 12x - 5x + 165 = 12x + 65
C.) 5x - 12x + 165 = 12x + 65
D.) 12x - 5x - 165 = 12x +65

Part B: How many answers did each school get correct in the final round?

Answers

Answer 1

Answer:

part a is b part b is 230 tell me if im wrong

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Let x represent the number of correct answers School A gave.

Then x is also the number of incorrect answers School A gave and the number of correct answers School B gave.

Final score of School A

= 165 + 12x - 5x.

Final score of School B

= 65 + 12x

Hence the correct equation is

12x - 5x + 165 = 12x + 65. (B)

=> 7x + 165 = 12x + 65

=> 5x = 100

=> x = 20

Hence Schools A and B got 20 correct answers each.


Related Questions

Brenda school is selling tickets to a spring musical on the first day of ticket sales for school so three senior citizen tickets nine child take it for a total of $75 the school took and $67 on the second day by and five ticket what is the price of each one senior citizen citizen ticket and one child to

Answers

Answer:

senior citizen cost $4

children cost $7

Step-by-step explanation:

The question is not complete

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child ... The school took in $67.00 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Given data

let senior citizens be x

and children be y

so

3x+9y= 75--------------1

on the second day

8x+5y= 67------------2

solve 1 and 2 above

3x+9y= 75     X8

8x+5y= 67      X3

 24x+72y=600

-24x+15y=201

   0x+57y= 399

divide both sides by 57

y= 399/57

y= $7

put y= 7 in eqn 1 above

3x+9*7= 75

3x+63= 75

3x=75-63

3x=12

x= 12/3

x= $4

what is the product of 3 square root 7 and 17 square root 14 in simplest radical form ​

Answers

[tex]3 \sqrt{7} \times 17 \sqrt{14} [/tex]

This is the problem that we need to solve. The best way to get about it is to first:

Multiply the constant numbers (3 and 17). 3×17 is 51. Next multiply the radicals. [tex] \sqrt{7} \times \sqrt{14} = \sqrt{7 \times 14} = \sqrt{108} [/tex]Simplify the squareroot of 108 since it is 49 times 2. It would be equal to 7 squareroots of 2. Our final answer would be:[tex]51 \times 7\sqrt{2} = 357 \sqrt{2} [/tex]51 x 7 is 357, so the answer above is right.

The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!

HElP Due in 30 min
x =

Answers

Answer:

180=x+87

-87. -87

93 = x

The value if x is 93

Step-by-step explanation:

map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What is the actual area of the park?

Answers

the area is 24 square inches so it would cost $480

Write an integers to represent each situation. 1.An $80 withdrawal. 2. A 2-inch in rise in water level 3. A lose of 15 pounds. 4. Draining 15 gallons of water from a fish tank.

Answers

Answer:

-80 ; 2 ; - 15 ; - 15

Step-by-step explanation:

Given that:

1.)

A withdrawal of $80, will cause reduction in the initial value, hence, negative

= - 80

2.)

A 2 - inch rise in water level, indicates increase from initial level, hence, positive

= + 2

3.)

A lose of 15 pounds indicates reduction in weight, hence, negative

= - 15

4.)

Draining 15 gallons of water from a fish tank indicates reduction Hence, negative

= - 15

Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2^ e. 8xy (The ^2^ means squared!)

Answers

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: [tex]3x - 2[/tex]

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: [tex]-9y[/tex]

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: [tex]-7x^2 + 4x[/tex]

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: [tex]-\frac{1}{2} x^2[/tex]

Here, the exponent of the variable is 2.

So, it is NOT a linear expression.

Option e: [tex]8xy[/tex]

Here, sum of exponents of variables is 2.

So, it is NOT a linear expression.

Hence, c, d and e are NOT algebraic expressions.

please help :( really stuck on this and don’t understand please attempt to do it .

Answers

Answer) That graph is not a function
Explanation) The graph that you provided is not a function. It does not pass the vertical line test. The vertical line test is when you draw a vertical line (l) at any point on the graph and it should touch 1 or less parts of the graph. If you put the line at x=1, the vertical line only touches the graph at (1,8.5) but if you put the line at x=5, it touches (5,1) and (5,8.5) so it does not pass the test. You should be able to put the line anywhere and have it touch ONLY 1 point. There cannot be multiple of the same x values.

A company orders 14 boxed lunches from a deli for $130.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?

Answers

Answer:

$9.30.

Step-by-step explanation:

$130.20 / 14 = 9.3

Answer:

I believe it is y=7.45x

Step-by-step explanation:

Right so: each lunch box costs $7.45 as you bought 10 which costs $74.50

So if Y is the total cost and X is the number of boxes

it should be

y=7.45

as each box is $7.45 and you want how much all the boxes cost

Please help meeeeeee

Answers

Answer:

k ≥ 4  or k ≤ -3

Step-by-step explanation:

Given function;

[tex]\frac{k}{4} \geq 1 \ \ or \ \frac{k}{3} \leq -1 \\\\Simplify \ the \ function \ as \ follows;\\\\k \geq 4 \ or \ k\leq -3\\\\[/tex]

Check the image uploaded for additional solution;

what's meant by addictive inverse and multiplicative inverse?​

Answers

Answer:

Two numbers are called additive inverses if their sum is 0. Another one is two numbers are called multiplicative inverses if their products is 1, if their product is 1. ... Two numbers are additive inverses if their sum is 0. If they add up to 0.

Step-by-step explanation:

Taylor was asked to solve the system of linear equations
3x - y = 12 and 10x + 5y = -10
by substitution. His solution is shown below.
Taylor's Solution:
Line 1: 10x + 5(-3x + 12)=-10
Line 2:10x - 15x + 60 = -10
Line 3: -5x +60 = -10
Line 4: -5x = -10 - 60
Line 5: -5x = -70
Line 6: x = 14

Which line is wrong? (pls help I’ll mark as brainliest)

Answers

Id take a guess and say line 1 because the rest looks correct

HELP MEEEEESSSSSSSSSSSSSSSSSS

Answers

Answer:

c

Step-by-step explanation: use a calculator

The answer is A. Both equations add up to 88.

Paola and her sister are eating lunch at a restaurant in Miami, Florida. They order two iced teas for $2.49 each, nachos for $15.99, and a slice of chocolate cake for $4.99. Florida's sales tax is 6%, but Miami's sales tax is an additional 1% higher. The amount of sales tax on this purchase is $_________. [Enter only digits and decimal for your answer. For example, 99.99] If necessary, round the amount of tax to the nearest 100th.

Answers

Answer:

1.82

Step-by-step explanation:

Add the prices to get the subtotal:

Sweet Tea:

2.49 * 2 = 4.98

4.98 + 15.99 + 4.99 = $25.96

The subtotal is $25.96

The sale's tax in Miami is 7% (the base 6% for FL, and the extra 1% for Miami).

$25.96 * 0.07 = 1.817 ≈ 1.82

The tax should be 1.82.

Hope this helps.

pls help with this question

Answers

Answer:

x<56

Step-by-step explanation:

Since the dot over 56 isn't filled in, the inequality doesn't include 56 (so we'll use < or > not [tex]\leq[/tex] or [tex]\geq[/tex])

Now, let's look at the direction of the shading: is it going to the left of 56 or to the right?

This shading is to the left of 56, which indicates that it's all of the numbers less than 56.

As said above, the inequality doesn't include 56

therefore, it will be x<56 (x is less than 56, and 56 is not included)

hope this helps!

Answer:

x<56

Step-by-step explanation:

First off look at the number the dot is on.

Its at 56.

So next we see if the dot is filled in or not.

If the dot is filled in, then its either less than equal to or greater than equal to

If the dot is empty, then its less than or greater than

The dot is not filled in

So next see which way the line is going

The line is going left, which means that the number is getting smaller

Make the equation

start with x

x

The sign will be < because x has to be less than 56.

x < 56

An easy trick to remember which way the sign goes in these types of questions [not in all cases though] is look which way the line is going.

Think of the signs as arrows

If you have < then the line goes <-- left

If you have > then the line goes --> right

If you need further assistance, don't be afraid to reach out. I hope this helps!

HELP PLS ITS DUE SOON AND I STILL HAVE SCIENCE TO DO AHHHHH

Answers

Answer:

The correct answer is x = -92/9 or x = -10.2

Step-by-step explanation:

(The error is that the student didn't multiply 8 inside the parenthesis )

Steps to show work:

3/4x + 8 = 1/3

9x + 96 = 4 ➙ 9x = 4 - 96

9x = -92

x = -10.2 or -92/9

Answer to 32:

You need to find a common denominator and then multiply both sides of the equation by that number. You can do practically anything you want one side of the equation, as long as you do it to the other side as well.

-----

Hope this helped :)

What is the equation in the slope-intercept form of the line that passes through the point (2,3) and is perpendicular to the line represented by y=-1/4x+7

A) y=4x+5
B) y=4x-5
C) y=-4x+5
D) y=-4x-5

Answers

Answer:

c

i. pretty sure the answer is c

help i need a good grade

Answers

Answer:

7.141

.133

9.902

Step-by-step explanation:

give me brainliest please! :) also, hope it helps have a great day

A rope which is 14.47 centimeters long is cut into 7 pieces of equal length. What is the length of each piece? Round your answer to the nearest tenth.

Answers

Answer: 2.1 centimeters

5x -9y =-26
-2x +3y =11​

Answers

Answer:

(-7, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x - 9y = -26

-2x + 3y = 11

Step 2: Rewrite Systems

-2x + 3y = 11

Multiply everything by 3:                    -6x + 9y = 33

Step 3: Redefine Systems

5x - 9y = -26

-6x + 9y = 33

Step 4: Solve for x

Elimination

Combine 2 equations:                    -x = 7Divide -1 on both sides:                  x = -7

Step 5: Solve for y

Define equation:                    5x - 9y = -26Substitute in x:                       5(-7) - 9y = -26Multiply:                                  -35 - 9y = -26Add 35 on both sides:           -9y = 9Divide -9 on both sides:        y = -1

Answer:

x= -7

y= -1

Step-by-step explanation:

5x-9y= -26..............(1)

-2x+3y= 11...............(2)

5(-2x+3y= 11)

-10x +15y = 55................(3)

2(5x-9y= -26)

10x-18y= -52.....................(4)

Add equation 3&4

-10x+15y= 55

10-18y= -52

-3y= 3

y= -1

put y= -1 into equation ............(3)

-10x+15y= 55

-10x+15(-1)= 55

-10x-15 = 55

-10x= 55+15

-10x= 70

x= -7

Therefore;

x= - 7 and y= - 1

Can someone please help me with this if I’m right or wrong:)

Answers

The correct answer is y=4/3x

Tom painted 3 times as many chairs as Louis. Louis painted 5 chairs less than Fred. Altogether they painted 35. How many did Fred paint?

a) 6
b) 11
c) 18
d) 1

Answers

Answer:

11

Step-by-step explanation:

11 fred

6 louis

18 tom

please mark me as brainliest!!<3

Answer:

Fred Painted 11 chairs. B

Step-by-step explanation:

Let Tom = T

Let Louis = L

Let Fred = F

Formulas

T = 3*L

F = L + 5

T + L + F = 35             Subtitute for Fred and Tom

Solution

3*L + L + L+5 = 35      Combine like terms

5L + 5 = 35                 Subtract 3 from both sides

5L = 35 - 5

5L = 30                       Divide by 5

L = 30/5  

L = 6

Fred Painted 5 more than Louis.

That makes Fred = 11

During the last 4 years, Julius visited 26% of the 50
states in the United States. How many states did he
visit?

Answers

Answer:

13

Step-by-step explanation:

what number is 26% of 50 is the question

you can set up a proportion:   is  =   percent

                                                  of           100

what number 'is' = you are looking for this, so assign a variable

'of = 50

26% =  26  

            100

n  = 26      You can cross-multiply to find 'n'

50     100

100n = 1300

n = 13

The value of car after it is purchased depreciates according to the formula Vn=250000.85n, where V(n) is the car’ value in the nth year after it was purchased.

What is the purchased price of the car?
What is the annual rate of depreciation?
How much value does it lose in its fifth year?
After how many years will the value of the car be half of the original purchased price?

Answers

Answer:

25000

0.15

−1957.523

Step-by-step explanation:

Given the function :

Vn=250000.85n

Value of car due to Depreciation,

V(n) value of car after n years.

Initial value of car ; value of car at year 0

V(0) = Vn=25000(0.85)^(0)

V(0) = 25000(0.85)^0

V(0) = 25000(1)

V(0) = 25000

The Decay rate = annual Depreciation

According the exponential function.

mb^n

m = initial value

b = 1 - Decay rate

Relating to the equation given :

b = 0.85

0.85 = 1 - Decay rate

Decay rate = 1 - 0.85

Decay rate = 0.15

Value lost in fifth year : V(5) - V(4)

n = 5

V(5) = 25000(0.85)^5

V(5) = 25000 * 0.4437053125

V(5) = 11092.6328125

V(4) = 25000(0.85)^4 = 13050.15625

11092.6328125 - 13050.15625

= −1957.523

8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)

Answers

Answer:SEE BELOW

Step-by-step explanation:

Average the X and Y coordinates (X,Y)

X = (-8 + 8)/2 = 0

Y = (-9 + 3)/2 = -3

(X,Y) = (0,-3)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]

G ( -8 , -9 ) & H ( 8 , 3 )

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Midpoint of the given points

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)

[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]

⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]

⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]

⟶ [tex] \tt{(0 \: ,- 3})[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

HellllPPPPP solve this equation: 0.2 - 2m = 2.1m + 2.5 - 1.8m

Answers

Step-by-step explanation:

First simplify it.  Combine like terms.

0.2 - 2m = 2.1m + 2.5 - 1.8m

0.2 - 2m = 0.3m + 2.5

Then isolate m.  Add 2m on both sides, then subtract 2.5 from both sides.

0.2 - 2m = 0.3m + 2.5

        0.2 = 2.3m + 2.5

       -2.3 = 2.3m

Now divide by 2.3 to find m.

       -2.3 = 2.3m

           -1 = m

And so m = -1.

The answer is -1.........

The Writing Emporium sells pencils and pens individually. Alana buys a pencil and two pens for $1.10. Jeffrey buys two pencils and a pen for $1.00. How much does Edward spend to buy six pencils and six pens from the Writing Emporium?

Answers

Answer:

$4.20

Step-by-step explanation:

The Writing Emporium sells pencils and pens individually.

Step 1

We have to first find the price of a pencil and a pen

Let:

The price of a pencil = x

The price of a pen = y

Alana buys a pencil and two pens for $1.10.

x + 2y = 1.1 ......Equation 1

x = 1.1 - 2y

Jeffrey buys two pencils and a pen for $1.00.

2x + y = 1 ........ Equation 2

We substitute 1.1 - 2y for x in Equation 2

2(1.1 - 2y) + y = 1

2.2 - 4y + y = 1

-4y + y = 1 - 2.2

-3y = -1.2

y = -1.2/-3

y = $0.4

Solving for x

x = 1.1 - 2y

x = 1.1 - 2(0.4)

x = 1.1 - 0.8

x = $0.3

Hence:

The price of a pencil = x = $0.3

The price of a pen = y = $0.4

Step 2

How much does Edward spend to buy six pencils and six pens from the Writing Emporium?

6x + 6y

6($0.3) + 6($0.4)

$1.8 + $2.4

= $4.20

Therefore, Edward spent $4.20 to buy six pencils and six pens from the Writing Emporium.

Please help me with this one it’s important

Answers

Answer:

yeah I'm sorry good luck with this

Step-by-step explanation:

John, Nafisa, and Sophia work in a bookstore. Nafisa makes $9.60 per hour. Sophia makes 15% less than Nafisa. How much does Sophia make per hour?

Answers

Step-by-step explanation:

9.60x15percent gives you $1.44- 9.60= 8.16

The area of the entire figure below is 1 square unit.
What is the area of the striped rectangle?

Answers

Answer:

3/4 * 2/5

Step-by-step explanation:

Areas is L * W

(1/5 + 1/5) * (1/4 + 1/4 + 1/4) = 2/5 * 3/4

Answer:

3/10

Step-by-step explanation:

The area will be the length of the striped rectangle multiplied by the width of the striped rectangle.

The length will be 1/4 + 1/4 + 1/4 = 3/4 and the width will be 1/5 + 1/5 = 2/5.

Now just multiply 3/4 by 2/5 and you'll get 6/20 which in its simplest form is 3/10.

Determine the intercepts of the line.
y= 4x +7
-intercept:
y-intercept:
2

Answers

Answer:

x-intercept: (-7/4, 0)

y-intercept: (0, 7)

Step-by-step explanation:

i hope this helps :))

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