A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.

Step-by-step explanation:

[tex]y = 5x \\ y = 9x + 4 \\substitute \:y = 5x \: to \: the \: other \: equation \\ y = 9x + 4 \\5x = 9x + 4 \\ 5x - 9x = 4 \\ - 4x = 4 \\ x = \frac{4}{ - 4} \\ x = - 1[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

The given equations are :

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 7x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 32 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Now, plug the value of x in equation 2 to find y

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 7 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 28[/tex]

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Answer:

E) 36 ft²

Step-by-step explanation:

Formulae

The shape is made up of 2 congruent triangles and 3 different rectangles.

Area of triangle = 1/2 x 3 x 4 = 6 ft²

Area of rectangle 1 = 2 x 4 = 8 ft²

Area of rectangle 2 = 2 x 3 = 6 ft²

To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.

   a² + b² = c²

⇒ 3² + 4² = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 ft

Therefore, area of rectangle 3 = 2 x 5 = 10 ft²

Total Surface Area

Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

               = (2 x 6) + 8 + 6 + 10

               = 36 ft²

A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.

A rectangle must be such that one side is longer than the other side.

The area of a rectangle is found as:

= Length x Width

As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.

The factors of 12 which allow this to happen are:

= 1, 2, 3, 4, 6, 12

From here you can use 3 and 4.

Find out more on the area of a rectangle at https://brainly.com/question/2607596.

Answer:

a. House hold laundry

b. Beverages

c. Snacks

Step-by-step explanation:

Do mark brainliest.

#a

For branch A

For branch B

#b

For branch A

For branch B

#c

Branch A

Branch B

Branch B performed better

The variables of the hypothesis test include the favorite type of pizza and the gender

The null hypothesis is Favorite pizza and gender are independent

From the complete question, the variables that are measured are:

The null hypothesis of a test used the equality statement.

So, the null hypothesis would be

Favorite pizza and gender are independent

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Answer:

w + 2.56 ≥ 10.24

Step-by-step explanation:

The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24

Answer:

See below ↓

Step-by-step explanation:

Solve for x.

2.1.1

2.1.2

2.1.3

I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.

Hope this helped~

Answer:

x = a/(p+q)

x = 2 or x = 1/2

x = -2

m≤ -1 or m<4

-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.

x = -3 and y = 9.

Step-by-step explanation:

The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).

px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.

Solve quadratically for the second one.

For the third one, apply the laws of indices to work out.

32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1   = ( 1/2)^-5.......Drop the base numbers since they are common.

3x + 1 = -5.........then solve to get x as -2.

For the fourth one, we solve for m by separating it into 2.

the first one is: -11 ≤ 3m - 8.

the second one: 3m - 8 < 4

then solve like a normal equation but maintain the inequality signs.

For the integral values, you'll get them from the answers because the answers are a range

The last one you solve simultaneously either by substitution or elimination method.

HOPE THIS HELPS

Answer:

78°F

Step-by-step explanation:

75.5°F on Saturday...

75.5 + 6 = 81.5 on Sunday

81.5 - 3.5 = 78°F on Monday

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Temperature:

Saturday = L= 75.5°F ______(1)

Sunday = M = Rose by 6°F

M = L + 6 _____(2)

Monday = N = Dropped by 3.5°F

N = L + 6 - 3.5 _____(3)

The expression that represents the temperature change:

From (1), (2), and (3) we get

N = L + 6°F + 3.5°F

The temperature on Monday:

N = 75.5 + 6 + 3.5

N = 85°F

Thus,

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

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Answer:

1.05 x 10^0.

Step-by-step explanation:

1.05 x 10^3 / 1 x 10^3

= 1.05/1  x 10^(3-3)

= 1.05 x 10^0

Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

Mary will receive on Friday(a)=27168.788 Yen

The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100

So, Mary will receive on Wednesday(b)= 25,656.2949 Yen

Difference between (a) and (b) = 1512.4931 Yen

Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.

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

Plug in the values of the variables & simplify:-

[tex]\longrightarrow\pmb{4x^2y^2}[/tex]

The values of the variables are:-

[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]

Simplify:-

[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]

[tex]\longrightarrow\pmb{4*4-4}[/tex]

[tex]\longrightarrow\pmb{16-4}[/tex]

[tex]\longrightarrow\pmb{12}[/tex]

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

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the answer for this is 4.

Answer:

6

Step-by-step explanation:

sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)

= 2 ( sqrt(3)² ) = 2 x 3 = 6

Let's see

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail 2(3)[/tex]

[tex]\\ \rm\rightarrowtail 6[/tex]

Answer:

√20 which can be written as 2√5

Answer:

40%

Step-by-step explanation:

2/5 is shaded

100 divided by 5 is 20

2x20=40

Answer:

6 x 4 x 4

Step-by-step explanation:

Answer:

87.5 percent

Step-by-step explanation:

80 passed the first, 70 passed the second. 7/8 passed both. 7/8 as a percentage is 87.5.

Answer:

C. 87.5%

Step-by-step explanation:

[tex]P(A|B)[/tex]

this is what you are trying to find.

P(A | B) can be found by dividing the percentage who passed both, by the percentage who passed the first.

70/80 = 0.875

multiply by 100 to get percentage instead of decimal

87.5

Answer:

your answer would be zero

Step-by-step explanation:

Parllel lines never crosses or intercept, which means they have 0 solutions

1 glass..........1/4 liter

n glass.......... 5 liters

n = 1 x 5 : 1/4

n = 5 x 4

so there are 20 glasses

Answer:

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

Answer: answer C.

Step-by-step explanation: you have to add and divide

Answer:

[tex]\displaystyle 36 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]

I am joyous to assist you at any time.

Hey there!

x/2 + 6 = 24

1/2x + 6 = 24

SUBTRACT 6 to BOTH SIDES

1/2x + 6 - 6 = 24 - 6

CANCEL out/ 6 - 6 because it give you 0

KEEP: 24 - 6 because it help solve for the x-value

NEW EQUATION: 1/2x = 24 - 6

SIMPLIFY IT!

1/2x = 18

MULTPLY 2 to BOTH SIDES

1/2x * 2 = 18 * 2

CANCEL out: 1/2 * 2 because it give you 1

KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)

NEW EQUATION: x = 18 * 2 or x = 2 * 18

SIMPLIFY IT!

x = 36

Therefore, your answer is: x = 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.

A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%

The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.

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Answer:

12 days

Explanation:

480 >/= 36.39x + 20.25

The  inequality to determine x, the maximum number of days Miguel

can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per day = $36.39

Charges per mile = $0.90

Total miles = 225

Total charges for 225 miles.

= 225 x 0.90

= $202.5

The maximum amount to spend = $480

The inequality for the maximum number of x days.

202.5 + 36.39x ≤ 480

Thus,

The  inequality to determine x, the maximum number of days is

202.5 + 36.39x ≤ 480

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Answer:

$391.00

Step-by-step explanation:

Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.

We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:

[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]

You will get paid $391.00 in gross pay, before taxes :)

Answer:

so the equation would look like this, x - 3 = 5

the number or x = 8

Step-by-step explanation:

8 - 3 = 5

Hope this helps! :)

The semi-annual payment is $1662.47

Given : A 3 year loan of $8,561 at 9.1% compounded semi-annually.

We have to determine the semi annual payment.

We know,

[tex]P=\dfrac{PV.r}{1-(1+r)^{-n}}[/tex]

Where PV is present value of loan.

r is rate of interest

n is time period.

Given loan is calculated semi annually,

So PV = $ 8561

r=9.1 % =9.1/200

and time period is 3 years = 6 number of period as semi annually.

Thus, Substitute,

We get,

[tex]P=\dfrac{8561(\dfrac{9.1}{200})}{1-(1+\dfrac{9.1}{200})^{-6}}[/tex]

[tex]P=1662.47[/tex]

Hence the semi-annual payment is $1662.47

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Answer:

55.5

Step-by-step explanation:

First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111  111 divided by 2=55.5.