a tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches she has played. at the start of a weekend, her win ratio is exactly $0.500$. during the weekend, she plays four matches, winning three and losing one. at the end of the weekend, her win ratio is greater than $0.503$. what's the largest number of matches she could've won before the weekend began?

Answers

Answer 1

Using the ratio we know that before the weekend started, she could have won as many as 164 games.

What is the ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

So, let n be the number of victories so that:

n/2n = 1/2 and n+3/2n+4 > 503/1000

Now, cross multiply as follows:

1000n + 3000 > 1006n + 2012

n < 988/6 = 164 4/6 = 164 2/3

Therefore, using the ratio we know that before the weekend started, she could have won as many as 164 games.

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Related Questions

Solve for x. logo(x-3) = 2

Answers

Answer:

x=5

Step-by-step explanation:

5-3=2

So the answer is X=5 cs 5-3=2

A store is running a sale where all of the items are 35% off the normal price. The price of a video game you want to buy is normally $61.97. What is the sales price of the game

Answers

Answer:

Discounted price= $40.28

Step-by-step explanation:

Giving the following information:

A store is running a sale where all of the items are 35% off the normal price. The price of a video game you want to buy is normally $61.97.

To calculate the discounted selling price, we need to use the following formula:

Discounted price= selling price*(1 - discount rate)

Discounted price= 61.97*(1 - 0.35)

Discounted price= $40.28

Find the dimensions of a rectangle whose area is 21 square meters and has the sides

Answers

3 by 7 or 21 by 1 hope it helps

Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2

Answers

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Directions: Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{AB}{AD}=\frac{AC}{AE}[/tex]

[tex]\frac{x+18}{x}=\frac{28}{(28-21)}[/tex]

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = [tex]\frac{126}{21}[/tex]

x = 6

The value of 23 + 33

Answers

Answer:

56 hope it helps....

hhcxxghjo9

Answer:

2^3 + 3^3 = 35

Step-by-step explanation:

You can simply use a calculator on your PC, phone, tablet, or macbook. If you just add 2 to the 3rd power and 3 to the 3rd power then you'd get 35. I'm sorry I'm not really good at math but I just wanted to give you a simpler way to do this problem considering it is not too hard to solve.

i need help i forgot how to multiply decimals

Answers

Stack the numbers on top of each other so the decimals are lined up. Get rid of the decimals and then multiply. Put the decimal point back in directly under where it was before

A patio is in the shape of a square, with a lengh of 35 feet. You wish to draw a black line down one diagonal.

a. Use the Pythagorean Theorem to find the lengh of the diagonal. Write your answer as a square root.

b. Find the two perfect squares that the lenght of the diagonal falls between.

c. Estimate the lenght of the diagonal to the nearest tenth.​

Answers

Answer:

a) 35√2

b) between 25 and 36 (5² and 6²)

c) 49.5 ft

George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.4 median = 90 mode = 70 Which value best describes George's scores? Explain.

Answers

Answer:

mean; the average of George's scores is the mean = 83.4

Step-by-step explanation:

The value that best describes George's scores is the mean that has a value of 83.4.

What is the mean?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number. The mean makes use of all the data in the data set.

Mean = sum of the numbers / total number

(70+  92 + 70 + 90 +  95) / 5 = 83.4.

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Azul used a number cube with the numbers 1-6 in a simulation. He assigned 1-4 as the favorable outcome and 5-6 as the unfavorable outcome. What situation could this represent.

Answers

Answer:b

Step-by-step explanation:

Answer:

the answer is the top right if confused then it's the one with the fraction 2/3

Step-by-step explanation:

i got it right on i ready quiz.

circumference of circle whose radius is 7cm​

Answers

Answer:

43.98 cm

Step-by-step explanation:

[tex]C=2\pi r[/tex] where r is the radius

Plug the radius 7 cm into the equation as r

[tex]C=2\pi (7)\\C=14\pi \\C=43.98[/tex]

Therefore, the circumference of the circle is approximately 43.98 cm.

I hope this helps!

solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Help me it’s just median range and meseurement of a square

Answers

2 dollars and 25 percent of the virgin stock market will hold a single hand

what are systems of equations and inequalities definitions?

Answers

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

To the nearest cm, what is the circumference? EZ POINTS

Answers

Answer:

95.2

Step-by-step explanation:

C=pi*d

C=3.14*30

C=95.2

Answer:

95.2 :)

Step-by-step explanation:

A ping-pong ball rolls forward 6 meters to the right, and bounces backward 3 meters to the left. It traveled a total displacement of.

Answers

Answer:

a displacement of 3 meters.

Step-by-step explanation:

you move 6 meters to the right, then 3 meters to the left

6 - 3 = 3

displacement is the distance away from the starting point

The ball traveled a total displacement of 3m.

What is an expression?

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,

      <------------6m----------------->

Ball ____________________

                       Ball_________

                             <------3m------>

Distance traveled by the ball.

= 6 m + 3m

= 9 m

Displacement is the shortest distance traveled by the ball.

= 6 - 3

= 3m

Thus,

Displacement is 3m.

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guys i have 5 min left plz

Answers

Answer:

both are wrong

Step-by-step explanation:

raj's mistake: he did not multiply -2 by -5a/4

antonia's mistake: she went from -4a/4 to a which is wrong because -4/4 is -1.

What is the mean of this data set? (8,3,4)

A) 15
B) 7.5
C) 5

Answers

Answer:

c

Step-by-step explanation:

add all the three numbers then divid by 3

Sharon is buying a circular rug for her room. The diameter of the rug is 8 feet which measurement is closest to the area of the rug in square feet

Answers

Answer:

50.24 feet²

Step-by-step explanation:

Given that:

Diameter of circular rug = 8 feets

To obtain the area of the circular rug, we use the formula for the Area of a circle = πr²

A = πr²

r = Radius of circle = diameter / 2 = 8 /2 = 4 feets

Area of circular rug = π * 4²

Area of circular rug = 3.14 * 16 = 50.24 feet²

please help with the question below

Answers

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

GIVE ME A SOLID ANSWER

I gain: These 2 pages answers

You gain: 25 points brainliest

Answers

Page 1:

Question 8:  B. Jewelry box.  The jewelry box has the greatest volume.

Question 9:  The volume is D. 512.

Question 10:  C. is the answer.  To find the volume you multiply all the sides.  3 x 4 x 3 = 36.  Therefore C. is our answer.

Question 11:  The answer is B. 0.421 m³

Question 12:  C. 27 cm

Question 13:  C. 5.5 cm

This is just page 1.  I am working on page 2.

Page 2:

Question 14:  option A. will give her the greatest area.

Question 15:  The answer is C. 5:14

Question 16:  C. 4/5

Question 17: B. 18 in³

Question 18:  The answer is A. 2

Carly is 8/11 the height of her mother, 2/3 the height of her father, 3/4 the height of her older sister, and 5/6 the height of her older brother. Carly is 48 inches tall.

What is the height of the Carly father?



HELP ME PLEASE

Answers

Okay, the answer is 32.
Have a great day!

Which of the following measurements could be the three side lengths of a right triangle?

4 cm, 5 cm, 9 cm
12 cm, 20 cm, 25 cm
18 cm, 24 cm, 30 cm
2 cm, 3 cm, 5 cm

Answers

Answer:

18 cm, 24 cm, 30 cm

Step-by-step explanation:

30² = 18² + 24²

900 = 324 + 576

900 = 900

Dale and 2 friends share one fourth of a cake. Each piece is the same size. Dale believes each piece of cake has an angle measure of 45°. Is Dale correct?

Answers

Answer:

dale is not correct

the correct angle is 30 degrees

Step-by-step explanation:

A cake is shaped like a circle

the total sum of angles in a circle is 360 degrees

If Dale and 2 friends share one fourth of a cake, the total angles they share = (1/4) X 360 = 90 degrees

If the 3 friends share the cake equally, the angles each get = (1/3) x 90 = 30 degrees

the correct angle is 30 degrees and not 45 degrees. Thus, Dale is wrong

Answer:

dale is incorrect

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the j$ fare among the 3 of them. Angela also paid a $5, tip. How much did Angela pay in total?

Answers

Answer:

[tex]$\frac{j}{3}+5$[/tex]

Step-by-step explanation:

It is given Angela shared a cab with her 2 friends.

Total number of people = 3

Total fare = j $

Tip paid by Angela = $ 5

The total fare was equally divided by the 3 friends.

So, fare paid by angle = [tex]$\frac{j}{3}$[/tex]

Total money paid by Angela is = fare + tip

                                                   = [tex]$\frac{j}{3}+5$[/tex]

Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of days he walk to school what will be the percent of the days in which mark walk to school

Answers

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

A horse’s heart rate is about 36 beats per minute. If the horse's heart has beaten 189 times how many minutes have passed by.

Answers

Answer:

5.25 mins

Step-by-step explanation:

189/36 = 5.25.

Don't download/ clikc on any links they are hackers.

HELPPPPPPPPPPP MEEEEE

Answers

Answer:

The answer is F

She read it incorrectly

Step-by-step explanation:

I need this done please

Answers

Answer:

I think is going to be c because we can see with the dot plot and according of the reading is going to be c

Answer:

C

Step-by-step explanation:

The mean for store 1 is 2.9 while the mean for store 2 is 2.0

Pls help and thank you guysss

Answers

Answer:

x=8

Step-by-step explanation:

These two equation should add up to equal 180.

8x+13+12x+7=180

20x+20=180

20x=160

x=8

Answer:

8x+13+12x+7 =180

20x+20 =180

x= 8

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