In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie

Answers

Answer 1

Answer:

20

Step-by-step explanation:

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 gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20


Related Questions

What is the value of x in the equation 3x − 2 = x + 8?

Answers

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much

Answers

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

What is missing from the graph?

HELP I WILL GIVE BRAINIEST

Answers

Answer:

I think the title is missing from the graph

Answer:

Y-intercept maybe? since the given function doesn't have a point where x = 0

Or it could also be the x and y-axis are not labeled

I'm so sorry if this is wrong but i hope this helps!

If Jaliya has 5 paintings and paints 6 more how much does she have now?

Answers

Answer:

11

Step-by-step explanation:

5+6

If ur learning addition then the answer is 11

5 + 6= 11


if ur learning multiplication the answer is 30

6 x 5 = 30

Please help me answer this

Answers

Answer:

area of the square=12×12

=144 cm²

area of the circle (radius=12/2=6 cm

πr²

3.142×6²

=113.112 cm²

area of the square-area of the circle

144. -113.112

30.888 cm²

Area of the shaded region=30.888/4

=7.722 cm²

cuantos kilometros tiene tokyo

Answers

Answer:

90 km

Step-by-step explanation:

A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?

Answers

Right angle because it has a 90° angle

You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft

Answers

Answer:

2ft

Step-by-step explanation:

The width of the box is 2 ft.

Here,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

We have to find the width of box.

What is Volume of box?

The volume of box is defined as, the multiply of length, width, height.

Now,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

Since, Volume of box = Length x width x height

Let width of box is x ft.

Volume of box = 2 * x * 4

16 = 8x

x = 2

Hence, The width of the box is 2 ft.

Learn more about the volume visit:

https://brainly.com/question/15102472

#SPJ2

What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?

A
5

B
–5

C
15

D
10

Answers

Answer:

10

Step-by-step explanation:

Substitute 1 in place of x and the result is -4.

Again substitute 3 in place of x and the result is 6.

Change=6-(-4)=10

how do I do this? I'm confused.​

Answers

Step-by-step explanation:

[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]

please help me ill give you the crown thing if its right no joke

Answers

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?

Answers

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

solve for the value of n

Answers

Answer:

N = 27

Step-by-step explanation:

The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .

90 - ( 6 + 3 ) = 81

81 / 3 = 27

ALSO GIVE ME BRAINLIEST PLEASE :)

Answer:

i think 27??

Step-by-step explanation:

n+6 +90+2!+3=180

solve for the value of k

Answers

Answer:

k = 42

Step-by-step explanation:

This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:

(k+1) + 47 = 90

k + 1 = 43

k = 42.

K=42
So (42+1)=43 2*43=86 (86+4)=90
I think so thanks

The graph of y = f(x) is shown below. Find the value of f(9).







Answers

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?

Answers

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

Math Question:
Pls help I will do anything

Answers

Answer:

The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.

Step-by-step explanation:

Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

Plz answer i'll give brainliest but it has to be right.

Answers

3 -3/4 and 2 pls brainlest

If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing a green bead then a red bead

Answers

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

I need help with 13 ABCD

Answers

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2

Answers

Answer:

B97.60

Step-by-step explanation:

I got b bc if u add all the number up u get that answer.

PLEASE HELP WITH THIS

Answers

Answer:

a.2

b.area of one triangular faces =9m²

2×9m²18m²

Simplifique a expressão: 5 √2^3

Answers

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Find the value of x.l

Answers

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

Can anyone give me an answer to this? Help is serverly needed...

Answers

THE ANSWER IS TWO. You have to factor it

Joey has $350 in his bank account. He pays $15.50 each month for 6 months. 6 months is done how much does joey have in his bank account?

Answers

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

[tex]350 - 93 = 257[/tex]

can someone please make a word problem for this I have no idea what to do

Answers

Answer: The ans is always c

Step-by-step explanation:

What do you mean and what does the problem have to be about? Ty :)

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.

Answers

C I just did the same answer

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

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