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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Find the measure of this angle in the triangle.
Answer:
the angle measures 85 degrees
The graph below is the graph of a function.
True or False??
Answer:
mmmmmmmm I wanna say it's false. like almost positive
Which of the following angles is corresponding with <5
2
7
8
4
Answer:
<7
Step-by-step explanation:
<5 and <7 are cut by the same transversal, so that should be the answer!
Hope that helps!
the question is in the picture. it’s math.
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°
factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )
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
I need help with this question
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
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
Answer: Deku's watermelon weighs more by 16 ounces.
Step-by-step explanation:
hope this helps lol :)
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
Answer:
35 in 2
Step-by-step explanation:
A, search it up. :)
Brain list for correct answer!!!
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]
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
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.
234 students in 9 different classrooms. What is the ratio of students to classrooms?
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
Four times a number is greater than 48
Answer:
12
Step-by-step explanation:
Answer:
4x>48
x>12ans.this is the correct answer
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
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:
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 = XPor lo tanto, Carlos vendió cada m2 a $1.500.000.
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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
Answer:
it's 4,1600
Step-by-step explanation:
I hope my answer can help you
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.)
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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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?
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 really need help with this
can you guys help me again lol-
Answer:
$93 per hour ?
125-405 = 280
280÷3= 93 per hour
divide the product of d and 6 by 4
Answer:
d/24
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)
PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.
Solve for z.
2
39z+ 17z = 0
Answer:
Z = 0
Step-by-step explanation:
Z is 0 because there’s no other possible solutions
Really need help! Click the picture to make it bigger
Answer: 3/4 i think
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!find the measure for angle A
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°
Which inequality is equivalent to -m ≥ 15?
A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15
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.
5x +1=4x +7
What is x
Answer:
Step-by-step explanation:
Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2
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.
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?
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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Question 4 20 pts The measure of an interior angle of a regular polygon is 120°. Find the number of sides.
Answer:
6
Step-by-step explanation:
180(n-2) / n = 120
180n - 360 / n = 120
180n - 120n = 360
60n = 360
n = 6