2.2.PS-16

Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.

Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and

incorrect answers. School B gives no incorrect answers and the same number of correct answers as

School A. School A started the final round with 62 points. School B started with 24. The game ends

with the two schools tied. Let x represent the number of correct answers given by School A in the final

round. Write an equation that models the outcome of the contest. Then find the number of answers

that each school got correct in the final round.

Which equation models the scoring in the final round and the outcome of the contest?

OA. 9x + 2x - 62 = - 9x + 24

OB. 2x-9x + 62 = 9x + 24

OC. 9x - 2x - 62 = 9x + 24

OD. 9x - 2x + 62 = 9x + 24

Answer:

Q1:=

Q2:4x+2

I believe question 3 is MN 2

3^3

Answer:

$1584

Step-by-step explanation:

My first answer got deleted because it was incomplete or something.

Just multiply 6x24x11 and you'll get the answer.

Answer:

A=-4/3

B=1/5

C=-5/4

Step-by-step explanation:

Answer:

Daughter age = x = 16 years old

Mother's age = 2x = 2 × 16 = 32 years

Step-by-step explanation:

The computation of their current age is shown below:

Let us assume that the current age of the daughter is x

And, the current age of the mother be 2x

Now nine years ago, their ages would be

daughter age is x - 9

And, the mother age would be 2x - 9

Now the equation would be

x - 9 + 2x - 9 = 30

3x - 18 = 30

3x = 30 + 18

3x = 48

x = 48 ÷ 3

x = 16.

Therefore

Daughter age = x = 16 years old

Mother's age = 2x = 2 × 16 = 32 years

Answer:

14 cm, 18 cm, 20 cm

Step-by-step explanation:

7x + 9x + 10x = 26x

equation: 26x = 52

divide each side by 26: x = 2

7 * 2 = 14

9 * 2 = 18

10 * 2 = 20

check if answer is right: 14 + 20 + 18 = 52

I hope this helped, please mark Brainliest thank you so much!!

Answer:

x-29/2

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

Step-by-step explanation:

If you meant 7 times 2y^3, the coefficient term for y^3 would be 2 and coefficient of y^0 term (or the constant term) would be 7

Answer:

1200 boys and 800 girls

Step-by-step explanation:

since the ratio is 3:2 i just added the ratio to get 5 then divided that by how many total students there were giving me 400, then multiplied it by 3 for the boys and by 2 for the girls. giving me 1200 and 800

(sorry if this is confusing)

Add the ratios together: 3 + 2 = 5

Divide total students by 5:

2000 / 5 = 400

Multiply each ratio by 400:

Boys = 400 x 3 = 1200

Girls = 400 x 2 = 800

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

[tex]z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1[/tex]

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

Answer:

[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]

Step-by-step explanation:

Divide by the prime numbers in increasing order until you find all the prime factors.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17

1764/2 = 882

882/2 = 441

441/3 = 147

147/3 = 49

49/7 = 7

7/7 = 1

[tex]1764 = 2^2 \times 3^2 \times 7^2[/tex]

Answer:

Since 342 hundredths is 342 over one hundred, 342 hundredths as a Fraction is 342/100. If you divide 342 by one hundred you get 342 hundredths as a decimal which is 3.42. To get 342 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 342 percent.

Answer:3.42

Step-by-step explanation:

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

If my answer helped, kindly mark me as the brainleist !!

Thank You!!

Answer:

maybe -5

Step-by-step explanation:

4/5-3/10=x+11/2

1/2-11/2=x

-10=2x

x=-5

a. If sea level is represented by 0, then something below sea level would be a value of something less than zero, a negative number. Because the Challenger Deep is 35,814 feet below sea level, it will be represented by -35,814.

b. Trieste is trying to reach the bottom of the challenger deep, which is y, and descending the ocean at -3 feet per second. So the equation would be like this

-35,814 = -3x

We are just looking for x. Notice how both number values are negative so the time it would take Trieste to reach the bottom would be a positive value.

-35,814 divided by -3 = 11938, so it would take 11938 seconds to reach the bottom.

c. y and x would be used in the same context as it would just now. Except that Trieste is coming up to the surface, so the depth of the Challenger Deep is positive.

35814 = k * 11938

k = 3, the amount of time it took to reach the surface in hours.

Hope this helps!

Answer:

(c). 17

Step-by-step explanation:

f(g(x)) = 3( - 2x + 1 ) + 2 = - 6x + 5

f(g(- 2)) = - 6( - 2 ) + 5 = 17

Answer:

1400

Step-by-step explanation:

Answer:

if ur trying finding the y-intercept  it's -24

Step-by-step explanation:

slope- intercept form is y=mx+b we know m is 4 (7,4) 7 is the x 4 is the y ...

then you plug them in and we know 4 times 7 is 28 and then 4-s8 is -24  

Answer:

a

Step-by-step explanation:

The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

We have the inequality,

3x + 8 / (x -4 ) ≥ 0

Now, simplifying the inequality

3x + 8 ≥ 0

3x ≥ 0-8

3x ≥ -8

x ≥ -8/3

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ5

Step-by-step explanation:

y + 2 = -2x - 4

y = -2x - 6

hope it helps, not 100% sure if it's right

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

Answer:

The number is 2

Step-by-step explanation:

To attempt this question, we need to represent the number with (x).

Let the number be x

Five more than the number is:

5 + x

Seven-halves means 1/2 × 7 = 7/2

Mathematically, the question is saying:

5 + x = 7/2 × x

5 + x = 7x/2

Cross multiply;

2(5 + x) = 7x

10 + 2x = 7x

We collect like terms;

10 = 7x - 2x

10 = 5x

x = 10/5

x = 2

The number represented by x is 2

We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.

We start with the sentence:

"Five more than a number is equal to seven-halves of the number"

if we define x as the number, we can write:

5 + x = (7/2)*x

Now we can solve this equation for x, we will get:

5 + x = (7/2)*x

5 = (7/2)*x - x = (7/2 - 1)*x

5 = (7/2 - 2/2)*x = (5/2)*x

(2/5)*5 = x

2 = x

So the number is 2.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

B) 176 ft²

Step-by-step explanation:

Answer:

39.53 ft2

Step-by-step explanation:

If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.

Now you have to find the area of the rectangle, 3*12 = 36.

36 + 3.53 = 39.53 rounded.

Answer:

Step-by-step explanation:

Hello friend!!!

here's ur answer

1) <y = 180 - 74 = 106° ( linear pair )

<x = <y ( alternate angles )

therefore, <x = <y = 106°

2) <x = 68° ( corresponding angles )

<y = 180 - 68 = 112° ( linear pair )

<z = 112° ( vertically opposite angles )

Hope this helps

plz mark as brainliest!!!!!

Answer:

21

Step-by-step explanation:

Answer:

The first one is 109, the 2nd one is the 2nd and 4th choices

Step-by-step explanation:

Answer:

Not constant

Step-by-step explanation:

it is not constant. lol