The average age of the members of a country club is 54 years old. If there are ten 36-year-olds, fifty 60-year-olds, and twenty other members all of the same age, what is the age of the twenty other members

Answers

Answer 1

The age of twenty other members is 48 years.

Given that the average age of the members of a country club is 54 years old and if there are ten 36-year-olds, fifty 60-year-olds, and twenty other members all of the same age.

The average is defined as the sum of a set of values divided by n, where n is the total set of values. A mean is another name for an average.

The average age is given by=(Sum of ages)/(Number of members (n))

Let x be the age of other twenty members.

Given A=54  years and n=10+50+20=80

So, now, we will substitute the values in the formula, we get

[tex]\begin{aligned}54&=\frac{10\times 36+50\times 60+20\times x}{10+50+20}\\ 54&=\frac{360+3000+20x}{80}\\ 4320&=3360+20x\end[/tex]

Further, subtract 3360 from both sides, we get

4320-3360=3360+20x-3360

960=20x

Furthermore, we will divide both sides with 20, we get

960/20=20x/20

48=x

Hence, the age of the twenty other members when average age of the members of a country club is 54 years old is 48 years.

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Related Questions

1. Carlos tiene un terreno de 30.000 m2, él
vende 3/5 del total del terreno y recibe por
la venta $27.000.000.000; en 1/3 del
terreno restante va a construir una piscina
que tiene de profundidad desde 1,2 metros
hasta 1,8 m en forma descendente; en el
resto del terreno va a construir una casa.
De la información, se puede decir que Carlos
vendió cada m2 por un valor de
A. $1.500.000
B. $1.800.000
C. $2.100.000
D. $2.400.000
PROCEDIMIENTO:

Answers

Answer:

d)şıtkı abi nasıl bilemesin

La opción correcta es A. Carlos vendió cada m2 a $1.500.000.

Dado que Carlos tiene un terreno de 30.000 m2, y vendió 3/5 del total del terreno y recibió por la venta $27.000.000.000; para determinar el valor en que Carlos vendió cada m2 se debe realizar el siguiente cálculo:

27.000.000.000 / (30.000 x 3/5) = X27.000.000.000 / 18.000 = X1.500.000 = X

Por lo tanto, Carlos vendió cada m2 a $1.500.000.

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Four times a number is greater than 48

Answers

Answer:

12

Step-by-step explanation:

Answer:

4x>48

x>12ans.this is the correct answer

the question is in the picture. it’s math.

Answers

Answer:

Step-by-step explanation:

1). (8x - 49)° = (5x + 23)°

8x - 49 = 5x + 23

3x = 72

x = 24

2). m∠VST + m∠SVU = 180°

(5(24) + 23)° + m∠SVU = 180°

m∠SVU = 180° - 143°

m∠SVU = 37°

m∠SVT = 37° - 20° = 17°

Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2

Answers

Answer:

Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.

Which of the following angles is corresponding with <5
2
7
8
4​

Answers

Answer:

<7

Step-by-step explanation:

<5 and <7 are cut by the same transversal, so that should be the answer!

Hope that helps!

can you guys help me again lol-

Answers

Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

Brain list for correct answer!!!

Answers

Answer:

1.58 is the correct answer

[tex] \huge{\tt{Answer:}} [/tex]

option 1 .86

[tex] \sf {sinA= {\dfrac{opposite~side}{hypotenuse}} = {\dfrac{9.5}{11}} = .86} [/tex]

divide the product of d and 6 by 4

Answers

Answer:

d/24

Step-by-step explanation:

find the measure for angle A

Answers

Step-by-step explanation:

x+46+x+66+90= 180

2x + 205= 180

2x = -25

x = - 12.5

A = x+46= -12.5+46= 33.5°

A= 33.5°

Find the measure of this angle in the triangle.

Answers

Answer:

the angle measures 85 degrees

3)
Find the area of a rhombus with diagonals of 10 inches and 7 inches.
1)
A)
35 in 2
B)
40 in 2
C)
45 in 2
D)
70 in 2

Answers

Answer:

35 in 2      

Step-by-step explanation:

A, search it up.        :)

Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)

Answers

The value of each Trigonometric ratio in a right angle triangle given are;  sin X = 4/5 and cos C = 40/41

How to express Trigonometric Ratios?

From the attached image, we can see the triangles to find the trigonometric ratios.

Now, the formula for sin and cos in a right angle triangle is;

sin = opposite/hypotenuse

cos = adjacent/hypotenuse.

Thus;

1) sin X = 32/40 = 4/5

2) cos C = 40/41

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PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.

Answers

I believe the answer is -(-3-2i)

Deku's watermelon weighs 128 ounces. Bakugo's
weighs 112 ounces. Which watermelon is heavier?
By how many ounces? -Side note- HELP MEH ;-; worth 16 points

Answers

Answer: Deku's watermelon weighs more by 16 ounces.

Step-by-step explanation:

hope this helps lol :)

Ya Dekus is heavier by 16 ounces

In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?

Answers

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles  [tex]=76*2+38[/tex]

                                    [tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

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5x +1=4x +7
What is x

Answers

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!! (100 POINTS)
(05.01 MC)
A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between the non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. (10 points)

Answers

let the kite is the quadrilateral ABCD with the two pairs of adjacent congruent sides. (the diagram is also attached)

Now, its given in question, see from figure,
AB is congruent to AD
BC is congruent to DC

Now, let us join the points A & C to form AC ; and points B and D to form BD.
So, AC is common side to triangles ABC and ADC.
So, Because AB ≈AD
BC ≈ DC
And, AC is common, therefore,
triangle ABC is congruent to triangle ADC

⇒∠ ABC ≈ ∠ADC (These are the angles between the non-congruent sides)


Really need help! Click the picture to make it bigger

Answers

Answer: 3/4 i think

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!

I really need help with this

Answers

The correct answer is D!

HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?

Answers

Answer:

(8x² + 10x -4) pages

Step-by-step explanation:

2x² + 5x – 3 + 5x – 3 + 6x²+ 2

2x² +6x² +5x +5x -3-3+2

8x² + 10x -4

I need help with this question

Answers

Answer:

R=34

Step-by-step explanation:

As, pythoreon therom states = a2 + b2= c2

a= 16, 16^2 = 256

b= 30, 30^2 = 900

c2= 900+256

c2 = 1,156

c= 34

So, 16^2 + 30^2 = 34^2

factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Answers

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.

What is the length of each shorter piece of rope?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

the length of each shorter piece is 8m long. In a fraction 8/16 which is 1/2.

I NEED HELP WITH THIS ASAP!!!!

Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.

Let CC represent the total cost, in dollars, of producing pp phones in a given day.

The table below has select values showing the linear relationship between pp and C.C.

Determine the fixed cost for rent and equipment.

P C
2 1200
4 1600
6 2000

Answers

Answer:

it's 4,1600

Step-by-step explanation:

I hope my answer can help you

Donte ordered the plans shown to build a skateboard ramp. Each unit represents one foot. He wants to keep the same slope of the ramp and extend the base of the triangle three feet. How tall will the ramp be

Answers

Answer:

3 feet

Step-by-step explanation:

The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.

The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:

[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the diagram of the ramp, we can see that:

The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:

[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:

height = slope * base = (1/3) * 9 = 3 feet

If the base is extended by 3 feet, the tall would be 3 feet tall.

Solve for z.
2
39z+ 17z = 0

Answers

Answer:

Z = 0

Step-by-step explanation:

Z is 0 because there’s no other possible solutions

Which inequality is equivalent to -m ≥ 15?

A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15

Answers

Answer:

b I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To solve this equation, since m is negative you need to get rid of that negative by dividing each side by -1. this will leave m and make 15, -15. so the equation will be c, m is less than or equal to -15.

The graph below is the graph of a function.

True or False??

Answers

Answer:

mmmmmmmm I wanna say it's false. like almost positive

Answer true
Explanation: what makes a graph function is a set of points in the plane is the graph of a function if and only if no vertical line intersects the graph in more than one point

234 students in 9 different classrooms. What is the ratio of students to classrooms?

Answers

Answer:

26 students per classroom

Step-by-step explanation:

To solve this, the ratio 234 students:9 classrooms must be converted to:

s students:1 classroom

To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:

26 students: 1 classroom

Question 4 20 pts The measure of an interior angle of a regular polygon is 120°. Find the number of sides.​

Answers

Answer:

6

Step-by-step explanation:

180(n-2) / n = 120

180n - 360 / n = 120

180n - 120n = 360

60n = 360

n = 6

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