The ratio of the number of men to the number of women in a sports club is 5:2.
After 63 men and 12 women quit the club, the ratio of the number of men to the number of women became 7:4.
How many members did the club have in the beginning?
Let the number of men and the number of women in the beginning be x and y
Now,[tex]\sf \frac{x} {y} =\frac{5}{2} \\\\\sf
=2x=5y \\\\\sf
=x=\frac{5y}{2}[/tex]
Now, In 2nd case,
No. Of men=x-63 and no. Of women =y-12
Now,the ratio becomes[tex] \frac{x-63}{y-12}=\frac{7}{4} \\\\\sf
=4(x-63)=7(y-12) \\\\\sf
=4x-252=7y-84 \\\\\sf
Putting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf
10y-252=7y-84 \\\\\sf
=10y-7y=252-84 \\\\\sf
=3y=168 \\\\\sf
=y=56 \\\\\sf
=\boxed{Y=56}
[/tex]
Now,we have, 2x=5y
Putting the value of Y=56 in 2x=5y,we get,
[tex]\sf 2x=5\:x\:56 \\\\\sf
x=\frac{5\:x\:56}{2} \\\\\sf
x=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf
=x=5\: x\: 28 \\\\\sf
x=140 \\\\\sf
\boxed{x=140}
[/tex]
Hence, the number of men was 140 and the no. of women was 56
Hi...I am from India.. Where are you from?
Match each multiplication expression with the number of decimal places in its product
Plz
is there a photo we can see
Able has a younger sister and an older brother. - Able’s age can be represented by x. - Able’s sister is 4 years younger than him. - Able’s older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able’s younger sister?
Answer:
5 years old
Step-by-step explanation:
Able has a younger sister and an older brother.
Able’s age can be represented by x.
Able’s sister (s) is 4 years younger than him. This can be represented as:
s = x - 4 [1]
Able’s older brother (b) is twice as old as he is. This can be represented as:
b = 2x [2]
The combined age of all three siblings is 32. This can be represented as:
x + s + b = 32 [3]
If we replace [1] and [2] in [3], we get:
x + (x - 4) + 2x = 32
4x = 36
x = 9
The age of Able's younger sister is:
s = x - 4 = 9 - 4 = 5
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It includes the product, research, marketing, and accessibility costs. You also know that it equals the marketing expenses per month divided by the number of new customers per month.
You have determined that two certain groups of customers are the largest groups of buyers. You want to know which group will be more profitable to target in terms of marketing. You check the company’s big data and find that the marketing expense per month for targeting the first group is $30,000, while the second group requires $60,000. You estimate that this marketing campaign will be able to attract 1,000 new customers for demographic group 1 and 1,500 for demographic group 2.
A B C
1 Marketing Expenses Number of Customer
for Targeting Customers Customers Acquisition Cost
2
What is the Customer Acquisition Cost for each customer in demographic group 1?
a. $50.
b. $40.
c. $30.
d. $60.
What is the Customer Acquisition Cost for Group 2?
a. $80.
b. $40.
c. $60.
d. $100.
Answer:
The Customer Acquisition Cost for each customer in demographic group 1
The correct option is c
The Customer Acquisition Cost for Group 2
The correct option is b
Step-by-step explanation:
From the question we are told that
The marketing expenses per month for targeting the first group is [tex]E = \$ 30,000[/tex]
The marketing expenses per month for targeting the second group is [tex]F = \$ 60,000[/tex]
The number of customers for the demography of group 1 that will be attracted is N = 1000
The number of customers for the demography of group 2 that will be attracted is M = 1500
Generally the customer acquisition cost for group 1 is
[tex]K = \frac{E}{ N}[/tex]
=> [tex]K = \frac{30000}{ 1000}[/tex]
=> [tex]K = \$ 30 [/tex]
Generally the customer acquisition cost for group 2 is
[tex]Z = \frac{F}{ M}[/tex]
=> [tex]Z = \frac{60000}{ 1500}[/tex]
=> [tex]Z = \$ 40 [/tex]
Based on the graph, which set shows the solution to log(2x+7)>-2/3x+2?
Answer:
D or [1.5, ∞)
Step-by-step explanation:
Got it right on edgenuity
7 x 10 PowerPoint 6.
Answer:
420
Step-by-step explanation:
7 x 10^6 = 7 x 60 = 420
Answer:
7000000
Step-by-step explanation:
10^6 = 1000000
1000000 x 7
The Suarez family paid $23.00 for 4 movie tickets. How much would they have paid for 12 tickets?
Answer:
$69
Step-by-step explanation:
23 + 23+23 = $69
(x-y)(x-y+1)² -2(x-y)(x-y+1)+x-y
help ASAP pleasee!!
Step-by-step explanation:
If u are looking for factorization this is the way
(x-y)(x-y+1)² -2(x-y)(x-y+1)+(x-y)=
(x-y)[(x-y+1)^2-2(x-y+1)+1]=
(x-y)[(x-y+1)^2-2(x-y+1)+1^2]=
(x-y)[(x-y+1)-1]^2=(x-y)(x-y+1-1)^2
(x-y)(x-y)^2=
(x-y)^3
select the correct answer what is the solution for X in the equation
2x-3x-18= -18+2x+5x
I'm really stupid sorryyyyyyyyyyyyyy
what is 4 x 10?
Answer:
your answer would be 40.
Answer:
4 x 10 = 40 :)
find all missing angles in the diagrams below, please help
Answer:
x = 80,
y = 80
Step-by-step explanation:
This is difficult to explain, so here are the theorems used
two lines parallel, with a transversal; alternate interior angles,
verticle angles theorem,
parts - whole postulate,
verticle angles theorem,
parts- whole postulate,
sum angles in a triangle,
supplementary angle, definition straight angle,
parts- whole postulate,
there are many other ways to reach the answer, I just whent this way.
Answer:
x= 80°, y= 100°
Step-by-step explanation:
Please see the attached picture for the full solution.
What do you have to know about any segments and angles in a figure to decide whether the figure has line symmetry?
Answer:
Explained below.
Step-by-step explanation:
When drawing line of symmetry on a figure and reflecting, we have to know that pairs of segments in that figure must have the same length while pairs of angles must have the same measurement. This is to ensure that half of that figure must concise with the other half part of it when that figure is folded across a line of symmetry.
6(8^2)* 45-98+456=
Answers:
17890
17182
17638
18400
Answer:
17638 its the correct one
Use the distributive property to remove the parentheses -9(-4x+3w-1)
Answer:
36x - 27w + 9
Explanation:
Multiply the outside by everything on the inside
Answer:36x-27w+9
Step-by-step explanation:
A negative times a negative is positive and a negative times a positive is negative so you take -9 and times it by each number. -4x, 3w,-1 Keep it in the same order
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks?
Answer:
30 cents
Step-by-step explanation:
.60 + .10 + .20/ 3 = .09/3 = .30
Answer:
D
Step-by-step explanation:
Took the test ;)
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.
Answer:
The correct option is (B).
Step-by-step explanation:
A type-I-error occurs when we discard a true null-hypothesis (H₀).
The hypothesis in this case are:
H₀: The proportion of Americans that have seen a UFO is 0.002, i.e. p = 0.002.
Hₐ: The proportion of Americans that have seen a UFO is less than 0.002, i.e. p < 0.002.
A type I error will be committed, if we reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
The correct option is (B).
The coefficient is always between which two numbers
Answer:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1 indicating perfect correlation
Step-by-step explanation:
Answer:
-1 and 1, with 1 or -1
Step-by-step explanation:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1
A scale on a drawing is 1in:5 feet.
Answer:
The scale is 1/60
Step-by-step explanation:
what is angle 1 in the picture called
Answer:
obtuse, right, acute
Step-by-step explanation:
OBTUSE is an angle greater than 90
RIGHT the angle is 90
ACUTE is an angle that is less than 90
pls helpppppppp i need help i dont get it lol
Okay, so what you're basically doing is finding out how much salsa is in the pot. To me, it seems like a trick question.
If two quarts is 2 1/2 of salsa, and they're asking you how much salsa is one quart, you would probably want to simplify 2 1/2. That would come to 2/5. 2/5 simplified would be 0.4 in fractions would total to 1 1/4. That would be your answer.
I hope this helped!
Solve for m.
5m+72=−2m+52
Drag and drop the answer into the box.
Answer:
m= -20/7
Step-by-step explanation:
5m+72=−2m+52
Add 2m to each side: 7m + 72 = 52
Subtract 72 from each side: 7m = -20
Divide each side by 7: -20/7
I hope this helped, please mark Brainliest, thank you!
help please!,!?!,?!!??
Solve for x.
5x – 4 > 12
AND 12x + 5-4
Step-by-step explanation:
5x - 4 > 12 adding 4 to both sides;
5x - 4 + 4 > 12 + 4
5x > 16 dividing both sides by 5;
x > 16/5
12x + 5-4
12x + 1
There are no solutions.
Explain the meaning of the following A scale on a map is 1mm:20 miles
Answer:
for every 1mm is equal to 20 miles (it is a scale)
Step-by-step explanation:
Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
a triangular park ABC has side 100cm, 60cm and 80cm. A gardener has to put a fence all around it and also plant grass inside. how much area does she need to plant? find the cost of fencing it with barbed wire at the rate of Rs 50 per meter leaving a space 5m wide for a gate on one side.
Answer:
Area.
Using Heron's formula to calculate the area, first calculate the semi-perimeter;
= (100 + 60 + 80) / 2
= 120 m
Area = [tex]\sqrt{120 * (120 - 100)(120 - 60)(120 - 80)}[/tex]
= [tex]\sqrt{5,760,000}[/tex]
= 2,400 m²
Cost of fencing.
Perimeter = 100 + 60 + 80 = 240m
Less space for gate = 240 - 5 = 235m
Cost = 235 * Rs 50 per meter
= Rs 11,750
The different units used in your question would lead to an incomprehensible answer so I used meteres for all.
Rewrite as a piece wise function
y=I3x+4I + 4
Answer:
Look at image
Step-by-step explanation:
Write the absolute value as piecewise.
What is the slope of the line shown in the graph? The answer to choose from: -2, -1, 1/-2, 1/2. I put -2 but I don’t think I’m right-
Please will give brainliest please help
Answer is B
Everything is positive except for the negative in the center, but the subtracting sign reverses the negative too a positive, so the answer is b
Answer: B and C are correct
Step-by-step explanation:
When you have a - before a parentheses it will cancel out whatever in inside if the parentheses. For example -(90) would be 90 cause it turns the positive number into a negative and -(-90) would be positive 90.
Answer these below
a) 3 ⋅ 1/3 =
b) 10 ⋅ 1/10 =
c) 19⋅ 1/19 =
Answer:
a) 3/3=1
b) 10/10=1
c) 19/19=1
Step-by-step explanation:
yes
a) 1
b) 1
c) 1
Step-by-step explanation:3 x 1/3 =
First we should understand that 3 in fraction form is 3/1.
(3 divided by 1 is three)
So we can rewrite this as;
3/1 x 1/3 =
Now just multiply across
3/1 x 1/3 = 3/3 = 1
Repeating this same logic we'll come across the following answers
10 x 1/10 = 10/10 = 1
19 x 1/19 = 19/19 = 1
Hope this helps