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

can ace and expert help me

in which number does 7 resent 10 times the value that it respesnts in 167 300​

Answers

Answer:

D

Step-by-step explanation:

repeat

Question :-

In which number does 7 represent 10 times the value that it represents in 167 300.

____________________

Solution :-

Given Information :-

Number ➢ 167 300

To Find :-

In which number does 7 represent 10 times the value that it represents in 167 300.

215,007392,070450,700572,000791,000

Calculation :-

In the given number, we can observe that, the face value of digit 7 is on 'Thousands place'. If multiply 7, 10 times, the face value of digit 7 will shift to it's Left Side by 1 digit, since, this condition is seen in the 4th option provided, hence, option 4. 572,000 is the correct answer.

____________________

Final Answer :-

Option 4. 572,000 is the correct answer

___________________

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

Answers

Answer:

1,024 ÷ by how many number of rounds= x

Answer:

1,024(0.50)^x That is the answer......................................

someone please help!

Answers

Answer: 62cm^2

Step-by-step explanation: 70-8=62

What is the mode of the following set of numbers: 3, 5, 6, 9, 3, 3, 6
A. 5
B. 3
C. 35

Answers

B. 3
3 is the mode because it occurs the most.
The answer is A. 6
Hope this helps.
The mode is difference between the lowest and highest number so the difference between 3 to get to 9 is 6. 6+3 =9.

Use the Law of Cosines to write an expression equivalent to c. Drag the expressions to show what the values of the variables should be in the radical.

Answers

Answer:

[tex] \boxed{\begin{array}{ccc} m = {a}^{2} \\ \hline n = {b}^{2} \\ \hline p = 2ab \\ \hline q = \cos(C) \end{array}}[/tex]

Step-by-step explanation:

recall the formula for law of cosine

[tex] \rm \displaystyle {c}^{} =\sqrt{ {a}^{2} + {b}^{2} - 2ab \cos(C) }[/tex]

thus we acquire

m=a²n=b²p=2abq=Cos(C)

Answer:

Solution given:

m=a²

n=b²

p=2ab

q=Cos(C)

law of cosine

[tex] c = \sqrt{a²+b²−2abcos(C)} [/tex]

Praise put some money into an account paying 4.5% compounded continuously for 10 year
She now has $3567.91 in the account. How much money did she start the account with?

Answers

Answer: [tex]\$2297.47[/tex]

Step-by-step explanation:

Given

Rate of interest [tex]r=4.5\%[/tex]

time period [tex]t=10\ year[/tex]

Amount [tex]A=\$3567.91[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P[1+r\%]^t[/tex]

where, [tex]P=\text{Principal}[/tex]

Insert the values

[tex]\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47[/tex]

So, Praise starts with [tex]\$2297.47[/tex]

Which answer represents the series in sigma notation? −7+(−2)+3+8+13 ∑j=15(5j−12) ∑j=15(−8j+1) ∑j=15−5(15)j−1 ∑j=155j−1

Answers

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

please help me whit this (if you answer pls show the work)

Answers

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card? Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance $2,500.00 $1,500.00 $3,000.00 $7.50 $4,007.50

Answers

Answer:

$3,992.50

Step-by-step explanation:

According to the problem, computation of the given data are as follows,

Credit line on credit card = $8,000

Balance Payment = $2,500

Credit = $1,500

New Purchases = $3,000

Finance Charges = $7.50

New Balance = $4,007.50

So we can calculate the  available credit on card by using following formula,

Available credit on card = Credit line on credit card -New balance

By putting the value, we get

Available credit on card = $8,000 - $4,007.50

= $3,992.50

What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.

Answers

Answer: 33.3%

Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.

Suppose fx) = x? What is the graph of g(x)= x(x)?

Answers

Answer:

1/2x^2

Step-by-step explanation:

f(x)=x^2 so g(x)=1/2x^2

if g(x)=x(x) then the answer is 1/2x^2

use desmos to help u select the correct graph



2. What is the center of dilation and the scale factor of the dilation of ABCD to EFGH?

Answers

Answer:

The center of dilation of ABCD to EFGH is (0, 0), and the scale factor is 4/3

Carmella likes to hike for more than 4 hours but less than 6 hours. She hikes at a speed of 2 miles per hour.
If m is the number of miles Carmella likes to hike, which inequality is true?
A. 0.33 B 2.0 C 4.0 D 6.0 E 8.0

Answers

Answer:

Guys the answer is E. I just took the test.

Step-by-step explanation:

Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)

Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.

Answer:

E.

Step-by-step explanation:

expand and simplify
3(x+1)+2(x+2)​

Answers

Answer:

5x+7

Step-by-step explanation:

3x+3+2x+4

3x+2x+3+4

5x+7

plz mark as brainliest

4x-2(x-5)=-8+4x+12 answer plz help #lovedafans

Answers

Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

pay:11.71 per hour
hours:11 hours per week​

Answers

Week = 128.81
Month = 515.24
Year = 6182.88
I believe this is all correct :)

Answer:

$128.81 per week

$515.24 per month

$6182.88 per year

Step-by-step explanation:

[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]

y = 128.81

[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]

y = 515.24

[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]

y = 6182.88

. Solve for x. a) 10 - 1/4x - 7 b) 3 (x + 8 ) = 21

Answers

a) 10 - 1/4x = 7

   1/4x = 7 + 10

           = 17

   x = 17/ (1/4)

b) 3 (x + 8 ) = 21

   x + 8 = 21/3

            = 7

   x = 7 - 8

      = -1

HELP ME ASAP!!! On a scale used on a map, 3/4 inch represents 8 feet. On the map, what is the length of a room with an actual length of 24 feet?



A
4 in.

B[tex]1 \frac{3}{4} [/tex]

C
[tex]4 \ \frac{1}{2} [/tex]

D
[tex]2 \ \frac{1}{4} [/tex]

Answers

Answer:

D. 2 1/4

Step-by-step explanation:

3/4 inch = 8 feet

24 divided by 8 = 3

(meaning you would multiply eight three times in order to get to 24)

So....

3/4 x 3 = 2 1/4

Answer: 2 1/4

Hope this helps :)

Answer: D - 2 1/4”

Step-by-step explanation:

8 feet goes into 24 feet 3 times

Eg. 24/8 = 3

If 3/4” = 8 feet, then 3 x 3/4” = 24 feet

3 x 3/4” = 2 1/4”

Find the missing value to the nearest whole number. sin17∘=x/7

Answers

Answer:

2

Step-by-step explanation:

sin 17° = x/7

(sin 17°) 7 = (x/7)7

x = sin 17° (7)

x = 0.292371704722737 (7)

x = 2.046601933059157

x ≈ 2

There are 48 cups in a box of paper cups. How many cups are in 70 boxes of cups?

Answers

Answer:

3360

bc

48 cups x 70 boxes = 3360

Step-by-step explanation:

Expand to write an equivalent expression. −5(7−2)

Answers

-35+10
If correct please mark as Brainly!

Determine side x. Round to the nearest unit. 20 9 12 5

Answers

Answer:

12

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

find the LCM 72 ,216, 270

Answers

Answer:

1080

Step-by-step explanation:

72 = 2 × 2 × 2 × 3 × 3

216 = 2 × 2 × 2 × 3 × 3 × 3

270 = 2 × 3 × 3 × 3 × 5

LCM(72, 216, 270)

= 2 × 2 × 2 × 3 × 3 × 3 × 5

= 1080

Answer:  1080

==========================================

Explanation:

Write out the prime factorization of each value. A factor tree may help.

72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5

The unique primes that show up are: 2, 3, 5

For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCM

The LCM is 2^3*3^3*5^1 = 8*27*5 = 1080

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. ​

Answers

Answer:

3s + c = 38 3s + 2c = 52

Step-by-step explanation:

Answer: Senior Citizen Ticket = $8, Child Ticket = $12

Step-by-step explanation:

Let's use S for senior tickets, C for child tickets.

3S + 1C = 38

3S + 2C = 52

Find C in terms of S with the first equation:

C = 38 - 3S

Now substitute the above equation for C in our second equation to find S.

3S + 2(38 - 3S) = 52

3S + 76 - 6S = 52

-3S = -24

S = 8

Now plug this value for S back into the first equation:

3(8) + C = 38

C = 12

So S = $8 and C = $12

The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm

Answers

Answer:

480 cm³

Step-by-step explanation:

Formula for Pyramid volume = (l*w*x) / 3

we do 12 x 12 x 10 first =

12 x 12 = 144

144 x 10 = 1440

Then divide by 3

1440 / 3 = 480

units = cm³

Answer = 480 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE HELP MATH I DON'T GET IT

Answers

I think that y=something on the graph and x= something on the graph

Robert made 7 loaves of bread. Each loaf of bread uses of a cup of flour. How many cups of flour did Robert use to make 7 loaves of bread?

Answers

Answer:

7 cups of flower.

Step-by-step explanation:

He made 7 loaves and each loaf calls for 1 cup of flour. 7 times 1=7...I feel like this is so easy.

lets find the answer

Answers

Answer:

-6,3....................

Answer:

(-4,3)

Step-by-step explanation:

what is the equation for the line?

Answers

Answer:

y=6/5x+8/5

Step-by-step explanation:

find the slope (6/5) you can find this by making a slope triangle between the 2 points.

now, plug in a point to y=6/5x+b

-2=6/5(-3)+b

-2=-18/5+b

-10/5=-18/5+b

b=8/5 (y-int)

so y=6/5x+8/5

Events without replacement are independent events.

false

true

Answers

Answer:

True

Step-by-step explanation:

When sampling is done with replacement, then events are considered to be independent, meaning the result of the first pick will not change the probabilities for the second pick. Without replacement: When sampling is done without replacement, each member of a population may be chosen only once.

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