A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.

(ii) How many members are children?

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 + 3 = 14 parts

Divide number of members by 14 to find the value of one part of the ratio.

560 ÷ 14 = 40 ← value of 1 part of the ratio

(i)

number of women = 6 × 40 = 240

(ii)

number of children = 3 × 40 = 120


Related Questions

What is the answer to 1552+452

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Answer:

2004

Step-by-step explanation:

hope this is helpful

Answer: it is 2004

Step-by-step explanation:

Vhich expression shows that the quotient

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Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

[tex] \frac{6x - 1}{9x - 3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]

What is a equivalent expression to z+z+z+z

Answers

Answer: 4z or z * 4 or 4 * z

*all three expressions above are the same and correct pick which ever one you want to use

Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. ​ A Step 1: 92 + 152 = c2 B Step 2: 81 + 225 = c2 C Step 3: 306 = c2 D Step 4: 306−−−√ =c E Step 5: c≈17, so BCis about 17 in.

Answers

Answer: A

Step-by-step explanation:

You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?​

Answers

Answer: 36%

Step-by-step explanation:

Please help me do this

Answers

Answer:

∠ U = 60°

Step-by-step explanation:

The tangent- tangent angle U is half the difference of its intercepted arcs

minor arc VT = 120° , then

major arc VT = 360° - 120° = 240°

Then

∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°

When adding polynomials, you combine like terms. Then put the polynomial in standard form. true or false

Answers

Answer:

True

Step-by-step explanation:

Polynomials are expressions containing one or more variables that are raised to powers beyond 2.

In standard form, a polynomial may be arranged based on the power of the variable. For example

X^3 + 2x^2 + 5

The above polynomial has been arranged in standard form. To add or subtract two polynomials, the two expressions are rearranged to combined like terms and then organized in standard form

What are the equations for the horizontal and vertical lines through (−2, 0)?

A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0

Answers

The answer is A, vertical is x=-2 and y=0.

Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3​

Answers

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin^2(x)=\sin(x)[/tex]

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

[tex]2\sin^2(x)-\sin(x)=0[/tex]

We can factor:

[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]

By the Zero Product Property:

[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]

Use the unit circle to solve:

[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points

Answers

Answer:

(-2,9)

Step-by-step explanation:

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

Answers

Answer:

[tex]\displaystyle x \approx 16.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x:                                                [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite:                                                                                                             [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate:                                                                                                           [tex]\displaystyle x = 16.4849[/tex]Round:                                                                                                               [tex]\displaystyle x \approx 16.5[/tex]

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool

Answers

Answer:

[tex]V=650.25\ yards^3[/tex]

Step-by-step explanation:

Given that,

Length = [tex]12\dfrac{3}{4}\ yards[/tex]

Width = [tex]5\dfrac{2}{3}\ yards[/tex]

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

[tex]V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3[/tex]

So, the volume of the swimming pool is equal to [tex]650.25\ yards^3[/tex].

help me now i need this question right away

Answers

Answer:

It will be 120°

It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.

Sorry if my explanation isn't that good.

Which transformation of Figure A results in Figure A′?




A.) a translation 3 units left and 4 units down.

B.) a reflection across the x-axis

C.) a counterclockwise rotation of 270° about the origin

D.) a counterclockwise rotation of 90° about the origin

Answers

Answer:

It is D

Step-by-step explanation:

It is the only reasonable answer

Hello can someone plz help me? Plz show your work

Answers

4 times 7 is 14 so I think the answer is 14. So diane played 14 minutes more than Sandra. So I think the answer is 14!

Step-by-step explanation:

Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;

4=x(Sandra)

Diane= 7(x)

=7(4)

=28

If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?

Answers

You will roll the number one 24 times.

To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?

Answers

Answer:

d≈14.99ft

Step-by-step explanation:

CHOOSING BRAINLIEST ( SCREENSHOT PROVIDED )

Find the missing number to complete the linear equation that gives the rule for this table.


x | y

0 | 0

1 | 25

2 | 50

3 | 75

Answers

Answer:

y= 25

i think

Step-by-step explanation:

Find m A) 70°
C) 42°
B) 145°
D) 130°

Answers

Answer:

42 degrees

Step-by-step explanation:

Angles E and G are equal.  Therefore, 8x - 6 = 7x, and x = 6.

Then the measure of angle G must be 7(6), or 42 degrees.

Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Given

[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15

= [tex]\frac{5y+3y+9}{15}[/tex]

= [tex]\frac{8y+9}{15}[/tex]

(b)

Given

[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8

= [tex]\frac{3x-2x-10}{8}[/tex]

= [tex]\frac{x-10}{8}[/tex]

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Step-by-step explanation:

(a)  y/3 + (y + 3)/5

     The LCD of 3 and 5  is 15 so we have:

     5y/15 + 3(y + 3)/15

      = (5y + 3(y + 3)) / 15

     = (5y + 3y + 9)/15

     = (8y + 9)/15.

b)  3x/8 + (x + 5)/4

     The LCD of 4 and 8  is 8 so we have:

     3x/8 + 2(x + 5)/8

      = (3x + 2x + 10) / 8

      = (5x + 10)/8.

     

Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.

Answers

Answer:

The length of side c would be 26.0.

Step-by-step explanation:

Answer:

A) 26

Step-by-step explanation:

Please help because I have to submit this this week

Answers

Answer:

67

Step-by-step explanation:

its a 90 degree angle so u have to do 90-23 which equals to 67

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.

Answers

Answer:

Step-by-step explanation:

What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)

Answers

Answer:

slope = undefined

Step-by-step explanation:

To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:

[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]  

However, we can't divide by zero. This must mean that the slope of this line is undefined.

Please help have only an hour please use picture

Answers

Answer:

The answer is C. n = 3

Step-by-step explanation:

I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.

So therefore, n = 3

Please mark brainliest if this helped.

Answer: C n=3

Step-by-step explanation:

First croas multiply the 2 and 3 to get one side

then you multiply 2n and move it to the other side so it can equal

2n=6  

2n/2=6/2

n=3

Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate

Answers

12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8

thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8

The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.





What is the area of the base of the solid that is formed?




16π in.²


36 in.²


64π in.²


144 in.²

Answers

Answer:

16π in.²

Step-by-step explanation:

i took the quiz and got it right

a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?

Answers

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

                             = 10692 cubic inches

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