School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B has 102 points, in the final round, correct answers earn 10 points and incorrect answers loose 6 points. school A hives the same number of correct and incorrect answers during the final round. school B gives no incorrect answers and the same number of correct answers as school A. the contest ends with te two schools tied. which equation models the scoring in the final round and outcome of the contest?

Answers

Answer 1

Answer:

School A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.

Step-by-step explanation:

We are given the following information:

School A points = 174

School B points = 102

Every correct answer is awarded 10 points and every incorrect answer reduces 6 points.

Let x be the number of correct answer given by school A and thus x is the number of  incorrect answer given by school A. The, school B also gives x number of correct answer.

Thus, the scored can be modeled with the following equations:

School A: [tex]174 + 10x - 6x = 174 + 4x[/tex]

School  B: [tex]102 + 10x[/tex]

Since, both the schools tied, equating both the equations:

[tex]174 + 4x = 102 + 10x\\\Rightarrow 10x - 4x = 174 -102\\\Rightarrow 6x = 72\\\Rightarrow x= 12[/tex]

Thus, school A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.


Related Questions

HELP ME PLZ
*****************

Answers

think it’s 6.5 hours

an earthquake can be felt 70 miles from its epicenter if someone is standing 50 miles east and 20 miles north of the epiccenter will they be able to feel the eacrthquake? and explain your reasoning for why they would or would not be able to feel it.

Answers

Answer:

You Would Feel It Faint Because Of Earthquakes Are Loud Rumbles Not Matter How far

Step-by-step explanation:

You would feel it because you would be roughly 54 miles from the epicentre according to Pythagoras's theorem- within the 70 mile radius

What is the volume of this cube?


Enter your answer as a decimal in this box.

Answers

it would be 25.2 hope this helps

PLEASE HELP me, I don't know how to solve this!

Answers

Answer:

2 < c < 12

Step-by-step explanation:

If we know two sides of a triangle a and b, the third side, c, can be no bigger than the the other two sides added together, and no smaller than the other two sides subtracted

a-b < c < a+b

We know the two sides are 7 and 5

7-5 < c < 7+5

2 < c < 12

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−7,2) , B(3,2) , and D(−7,−2) . Point C is the fourth vertex of the rectangle.

What is the distance from point B to point C?



Enter your answer in the box.

Answers

the distance from point b to c is 4 down the y-axis

the functuion of g(x)= 2x-3 is compressed horizontally to form f(x). which of the following could be the equation of f(x) ?

A.f(x)=1/3x-1
B.f(x)=x+12
C.f(x)=-2x+1
D.f(x)=4x-3

Answers

Answer:

Please see attached graph for further understading of the solution.

To easily solve this problem, we can graph each of the functions and compare them to the original one.

g(x)= 2x-3

An horizontal compression implies a greater slope for the line. This means that the graph of f(x), must reach higher values faster.

Based on the image, the answer is option D

I need help with this

Answers

Answer:

V = 235.5 in³

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

From the pictue we have r = 5in and H = 3in. Substitute:

[tex]x=\pi(5^2)(3)=\pi(25)(3)=75\pi\ in^3[/tex]

[tex]\pi\approx3.14[/tex]

Therefore

[tex]x=(75)(3.14)=235.5\ in^3[/tex]

Answer:

75π is the answer

Step-by-step explanation:

In term of pie is solving without multiplying with pie which is 3.14

A=πr2 x H

1) leave π alone solve for r2

The radius is 5  so 5 squared is 25 or 5x5=25

2) Just multiply 25 times the height which is 3 with pie

25x3=75

75π is the answer

Hopes this helps!

A park in the shape of a right triangle is surrounded by three streets. The park is 120 feet along Park Street and 95 feet along Water Street. What is the area of the park?

Answers

Area of a triangle

1/2×b×h

=1/2×120×95

=60×95

=5700

Answer

5700 ft.

Answer:

5700 ft

Step-by-step explanation:

A bookstore is selling books for $10 each which graph shows the relationship between the number of books x the store sold and the total amount of money y paid from the book sales

Answers

Answer:

one or two books cost 10 dollars

Step-by-step explanation:

which graph shows the relationship between the number of books x the store sold and the total amount of money y paid from the book sales?

book store selleing books for

10 dollars

x= books 1,2

y= paid  10

so u see it says someone  bought books for 10 dollars

each so  two books

Answer with explanation:

Selling Price of book, which the bookstore is selling =$ 10

If, total number of books sold =x

Total Selling Price of x, books = $10 × x=$10 x

If, y is the amount of money obtained after selling x books, then

→→ y= 10 x

Drawing the graph on "Desmos graphing"

what is the percent of increase from 500,000 to 1,000,000​

Answers

Answer:

100%

Step-by-step explanation:

do you need an explanation?

For the equation y = 2x2 − 5x + 18

Please answer asap. Will give Brainly

Answers

Answer:

y=2x^2−5x+18

Step-by-step explanation:

orlando has a bag of 37 apples and a bag of 29 apples he can bake 6 apples in a pan how many pans can orlando make. plzzzzzzz i need help now and thx​

Answers

the answer is 11 trays

what is the shortest time it takes to collect a container of water

Answers

Around 35-45 minutes, but it depends on the size of the container.

The shortest time it takes to collect a container of water is 45 minutes.

What is Box plot?

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

We have given the box plot which shows the amount water collect in how many minutes.

The box plot gives the following information

Minimum value = 45

Median = 48

Lower Quartile = 53

Upper Quartile = 56

Maximum = 64

So, the shortest time is given by minimum value which is 45 minutes.

Learn more about Box plot here:

https://brainly.com/question/1523909

#SPJ7

Look at the following math problems. 10 + 2 = 12 12 − 2 = 10 What are these operations called?

Answers

Answer:

i think it might be fact families

Step-by-step explanation:

this is because they use the 3 same #rrs

Answer: Inverse Operations

Step-by-step explanation:

The measures of two vertical angles are represented by (4x - 7) and (2x - 13). What is the sum of the two angles measures?

a. 33
b. 45
c. 66
d. 90

Answers

Final answer:

The sum of the two vertical angles (4x - 7) and (2x - 13) is 33 degrees.

Explanation:

To find the sum of the two vertical angles, we need to equate the expressions representing the measures of the angles and solve for x.

(4x - 7) = (2x - 13)

4x - 7 = 2x - 13

2x = -6

x = -3

Now we can substitute x = -3 back into one of the expressions to find the angle measures.

Angle 1 = (4x - 7) = (4(-3) - 7) = -12 - 7 = -19

Angle 2 = (2x - 13) = (2(-3) - 13) = -6 - 13 = -19

The sum of the two angle measures is: -19 + -19 = -38

Since angle measures cannot be negative, we can conclude that the sum of the two angle measures is 38 degrees. Answer choice (c) 66 is incorrect because the sum is not positive. The correct answer is (a) 33 degrees.

What is question 3? Please help me

Answers

It would be answer choice (B) :D

Answer:

See below.

Step-by-step explanation:

Problem  A

I have no tool that will draw this easily but I can direct you to do it.

Draw 4 bricks separated by 3 spaces on the top row of bricks. They should be going horizontally. Draw 9 bricks going vertically. They should not touch the bricks in the first row.Draw 4 bricks going horizontally separated by 3 spaces just like the ones drawn in step one.

Problem B

The general formula for the number of  bricks in any pattern (n) is

4n + 1 where n is the pattern number. Try some values.

n =3  

4n + 1

4*3 + 2

13

n = 4 which is the one you just drew

4n + 1

4*4 + 1

16 + 1

17

n = 8

4n + 1

4*8 + 1

32 + 1

33

Problem C

4n + 1 = 49           Formula

4n -1 = 49 - 1         Subtract 1 from both sides

4n = 48                 Divide by 4

4n/4 = 48/4

n = 12                    Answer

Pattern 12 will have 49 bricks

Problem D

The general formula we have been using all along is the answer.

4n + 1

pleassssssssssseeeeeeee help me! ASAP

Answers

Hey there!

I want you to think of radicals as like terms. In order to be able to combine like terms, you need the same base and exponent.

For example,

3x^2-y^2 <== same exponent but not same variable

3x^2-x^2 <=== could be combined because exponent (^2) and variable (x) are the same

So, for this question, you're looking for a radical that has 5 under the radical sign and 3 above the radical sign.

"B" is the right answer, because is  ∛ and in the radical it has a √5.

I hope this helps!

~kaikers

a ____ is how data values are arranged.


the part of data set where the middle values are concentrated is called the ______ for data.



A________ anticipates that there will be different answers when gathering info.


_______ is a measure that describes the spread of values in a data set.​

Answers

Answer:

statistical question

Step-by-step explanation:

Final answer:

A distribution is the arrangement of data values. The center for data refers to the central tendency measures such as mean, median, and mode. Variability describes the spread of values, often measured by standard deviation.

Explanation:

A distribution is how data values are arranged. The part of the data set where the middle values are concentrated is called the center for data. A survey anticipates that there will be different answers when gathering info. Variability is a measure that describes the spread of values in a data set.

To find the center of a data set, we can calculate measures of central tendency, which include the mean, median, and mode. The mean, or average, is the total of all data values divided by the number of values. The median is the value at the midpoint of the data set when ordered from smallest to largest, effectively splitting the data into two equal parts. The mode is the most frequently occurring value in the data set. If your data set has outliers, the median is often the best measure of the center, as it is less affected by extreme values.

When we refer to variability in a data set, we are often talking about the standard deviation, which tells us how spread out the data values are around the mean. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation suggests the values are spread out over a wider range.

Order the ratios from least to greatest. 5:3, 6:4, 11/3, 3 to 1, 33:100

Answers

Answer:

33:100- 6:4- 5:3- 11/3

Step-by-step explanation:

First turn into even fractions

5:3= 1 2/3

6:4=1 1/2

11/3= 3 2/3

3/1= 3

33:100= 1/3

Then look at the numbers.

If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.

Answers

Answer:

3

Step-by-step explanation:

5 times a number would be 5x, then increase that by 4 is 5x+4.  The problem then says 5x + 4 ≥ 19.  If we solve for x then we get x ≥ 3 so x has to be greater than or equal to 3, so the smallest number it could be is 3.  You can even try any number smaller than 3 and see it doesn't work.  even something like 2.9

Answer:

x ≥ 3  

Step-by-step explanation:

Let the number = x

5 × the number = 5x

Increased by 4 means 5x +4

   Is at least 19 means ≥ 19

5x + 4 ≥ 19

5x       ≥ 15      Subtracted 4 from each side

 x       ≥    3      Divided each side by 5

The smallest possible number that satisfies the conditions is x = 3.

What is the distance from -50 to-0 on a number line

Answers

Answer:

50 units

Step-by-step explanation:

Think of it as taking steps.  Each unit is a step.  It will take you 50 steps to get from -50 to 0, so the distance is 50

Mathematically, end point minus starting point

0 - (-50) =

0+50 = 50

Solve the system of equations 3x + y = 3 and 7x + 2y = 1

Answers

Answer: x=-5 and y=18

Step-by-step explanation:You multiply 3x+y=3 by 2 to get 6x+2y=6. Then, you subtract 6x+2y=6 from 7x+2y=1. The result is x=-5. You then plug -5 into an x in one of the equations and get y equal to 18.

Answer:

-5

Step-by-step explanation:

If 80 is decreased by 50%, what is the new amount?

Answers

Question: If 80 is increased by 50%, what is the new amount?

Answer: 40

Suppose Y varies directlly With x. If y= 6 when x=2 find x when y= 12

Answers

Answer:

The value of x = 4 when the value of y = 12

Step-by-step explanation:

∵ y α x ⇒ it is direct variation

- It means y increase when x increase

∴ y = kx ⇒ where k is a constant

- To find the value of k we will substitute the values of x

  and y in the equation above

- If y = 6 when x = 2

∴ 6 = k(2) ⇒ divide two sides by 2

∴ k = 3

∴ y = 3x ⇒ equation of variation

- To find the value of x when y = 12

- Substitute the value of y in the equation of variation

∴ 12 = 3x ⇒ divide both sides by 3

∴ x = 4

* The value of x = 4 when the value of y = 12

Answer: x=4

Step-by-step explanation:

By definition, the direct variation eqution has the following form:

[tex]y=kx[/tex]

Where k is the constant.

Therefore, if If [tex]y=6[/tex] when [tex]x=2[/tex], you can calculate k as following:

-Substitute values.

- Solve for k.

Then:

 [tex]6=k(2)\\k=3[/tex]

Then, when [tex]y=12[/tex], you can calculate the value of x as it is shown below:

-Substitute values.

- Solve for x.

Then:

[tex]12=3x\\x=4[/tex]

What is the least common multiple of 6, 3, and 2?


Answers

Answer:

6

Step-by-step explanation:

the multiples of 6 are : 6, 12, 18, .....

The multiples of 3 are : 3, 6, 9, 12, ......

The multiples of 2 are : 2, 4, 6, 8, 10, 12, ......

The common multiples are 6 and 12 .....

The least common multiple is 6

If BC=6.7, CD=6.2, and AD=13.3, find AB to the nearest tenth

Answers

Answer:

14.4

Step-by-step explanation:

AB / BC = AD/CD

AB/6.7 = 13.3 / 6.2

AB = 13.3 * 6.7 / 6.2

AB = 14.4

Answer:

The answer is 14.4 units.(option A)

Step-by-step explanation:

Angles BAC and CAD are equal.

We can solve this by using the proportional relation.

[tex]\frac{AB}{BC} =\frac{AD}{CD}[/tex]

Let AB be = x

So, [tex]\frac{x}{BC} =\frac{AD}{CD}[/tex]

[tex]\frac{x}{6.7} =\frac{13.3}{6.2}[/tex]

[tex]\frac{x}{6.7} =2.145[/tex]

[tex]x=6.7\times2.145[/tex] = 14.37 units

And rounding to nearest tenth, we get 14.4 units.

Plz help me!!!!!!!!!!

Answers

Answer:   a³ - 218

Step-by-step explanation:

  (a - 6)(a² + 6a + 36)

= a(a² + 6a + 36) -6(a² + 6a + 36)

= a³ + 6a² + 36a

      -  6a² -  36a - 218

= a³ + 0a² +  0a  - 218

= a³ - 218

Jada walks up to a tank that can hold up to 10 gallons. When it’s active a drain empties water from the tank at a constant rate. When jada first sees the tank it contains 7 gallon three minutes later the tank contains 5 gallon. At what rate is the amount of water in the tank changing

Answers

Answer:

2/3 of a gallon per minute

Step-by-step explanation:

You can find the rate by subtracting the amount of gallons she observed and dividing it by the time.

7 - 5 = 2 and 2 gallons/3 mins = 2/3 of a gallon each minute.

What is 0.660 rounded to the nearest tenth

Answers

Final answer:

To round 0.660 to the nearest tenth, we find that 0.660 rounded to the nearest tenth is 0.7.

Explanation:

To round 0.660 to the nearest tenth, we need to look at the digit in the hundredth place, which is 6. Since 6 is greater than or equal to 5, we round up. The digit in the tenth place becomes 7, and all digits after the tenths place are dropped. Therefore, 0.660 rounded to the nearest tenth is 0.7.



n
=
1

4
(
1
3
)
n

1

Answers

Answer:

6

Step-by-step explanation:

The correct notation is: Summation from n = 1 to infinity of the expression:

[tex]4(\frac{1}{3} )^{n-1}[/tex]

If we expand this notation, we will find that the given summation represent the terms of a G.P and we have to find the sum of infinite terms of a G.P. By placing n=1,2,3,4,... we can find the first few terms as shown below:

[tex]4(\frac{1}{3} )^{1-1}=4\\\\ 4(\frac{1}{3} )^{2-1}=4(\frac{1}{3} ) \\\\ 4(\frac{1}{3} )^{3-1} =4(\frac{1}{3} )^{2}[/tex]

Its obvious from the above result, that the given summation represent a G.P with first term equal to 4 and common ratio of 1/3. The formula of infinite G.P is:

[tex]S=\frac{a_{1} }{1-r}[/tex]

Using the value of a1 = 4 and r = 1/3 we can calculate the given summation

[tex]S=\frac{4}{1-\frac{1}{3} }=6[/tex]

Therefore, the given summation is equal to 6.

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U.S. presidents are elected through the Electoral College. The Founding Fathers worried that Americans were too spread out to learn enough about the candidates. Under the Electoral College, Americans cast their ballot for the popular vote, which chooses the electors for each state. The number of electoral votes each state equals the number of representatives and senators combined. The candidates must win an absolute majority of electoral votes to win the election.In 1824, Andrew Jackson won the popular vote, but he did not win it in each state. Jackson and Adams both won many electoral votes. Jackson won the most with 99. However, a candidate needs an absolute majority of electoral votes to win. In 1824, Jackson needed 131 to win. When there is not majority winner, the election goes to the House of Representatives. This has only happened twice in U.S. history.Even though he won the popular vote and many electoral votes, Andrew Jackson lost the presidency in 1824. 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