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?
What is the distance between point A and point B? Enter your answer in the box.
Answer:The distance between point a and point b is the number of units in between the 2 points
Step-by-step explanation:
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]
In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.
Answer:A
Step-by-step explanation:
The best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.
What are statistics?Statistics is the study of the discipline that concerns the organization, collection, analysis, and presentation of data.
In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers.
For both measures, smaller values indicate higher quality.
Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.
Thus, the best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.
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16 = 48х - бу
can someone tell me how to do this step by step? Thanks :P
16=48x-6y
swap the sides of the equation
48x-6y=16
Divide both sides of the equation by 2
24x-3y=8
now we do the same only different way ok
48x-6y=16
Divide both sides of the equation by 2
(48x-6y)÷2=16÷2
Distribute 2 through the parentheses
48x÷2-6y÷2=16÷2
calculate the quotient
48x÷2-6y÷2=8
calculate the quotient
24x-6y÷2=8
calculate the quotient
Answer: 24x-3y=8
PLEASE MARK ME AS BRAINLIEST
6(8^2)* 45-98+456=
Answers:
17890
17182
17638
18400
Answer:
17638 its the correct one
What is the cosine of 90 degrees?
Answer:
The answer is 0.
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
Mark's grade went from 65% to 90%. What was his percent increase?
А
25%
B
28%
С
38%
D
90%
Answer:
A
Step-by-step explanation:
Rituparna Banerjee
Samantha used the school computer 20 hours last month. Her brother Jacob used the school computer for 60 hours. What is the ratio of
the hours Samantha used the computer to the hours Jacob used the computer?
O A 3 to 1
OB. 1 to 3
O C. 1 to 4
O D. 3 to 2
O
Answer:
20:60 simplified
Step-by-step explanation:
so the question wants u to set up the ratio, Samantha's computer time to jacobs computer time, so 20:60 basically. now the choices they give u looks all simplified so we have to simplifi 20:60 witch is B)1 to 3. always remember when u r simplifing u have to divide the ratio by the same number.
At 8 a.m. the temperature was -14ºF. By noon, the temperature was 12ºF. Find the difference in temperature. Did it rise or drop?
Answer:
Difference=26 degrees
It rose
Step-by-step explanation:
Answer: The difference is 28 degrees and the temp. increased or was raised.
Step-by-step explanation:
63 pt__ gal __ qt __ pt
A scale on a drawing is 1in:5 feet.
Answer:
The scale is 1/60
Step-by-step explanation:
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.
what is the oppisite of -4
Answer:
4
Step-by-step explanation:
Answer:
4
4 is the oppisite of -4 is 4, you know that because it is in the exact oppisite side in the numberline.
Do you think it is true that any solution point to the equation y=1/2x+1 is a point on the line? Explain.
It is true..
I don't have an explanation.
Rewrite as a piece wise function
y=I3x+4I + 4
Answer:
Look at image
Step-by-step explanation:
Write the absolute value as piecewise.
HEEEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!
The least-squares regression line yˆ=1.8−0.2x summarizes the relationship between velocity, in feet per second, and depth, in feet, in measurements taken for a certain river, where x represents velocity and y represents the depth of the river. What is the predicted value of y, in feet, when x=5?
Answer:
0.8
Step-by-step explanation:
It is 0.8 because since you have y=1.8-0.2x (which is in the form of y=mx+b); and you have the value that x=5, all that you have to do is plug in 5 into the X in the equation.
Here is shown work:
y=1.8-0.2x
y=1.8-0.2(5)
y=1.8-1
y=0.8
Hopefully this helps! :)
The predicted depth value when the velocity value is 5 will be 0.8 feets
Given the regression model :
yˆ=1.8−0.2x
yˆ = Predicted value
x = velocity
To calculate the predicted depth, at a given velocity, x ;
Substitute the value of x and solve for yˆ in the equation
When x = 5
yˆ=1.8−0.2(5)
yˆ=1.8− 1.0
yˆ = 0.8
Therefore, the predicted depth value in feet is 0.8
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Kelly is making homemade trail mix. She mixed together 1 1/4 pounds of peanuts, 2/5 pounds of chocolate candies, and 3/20 pounds of dried fruit. how many total pounds there’s a trail mix away? (Simplify your answer and state it as a mixed number)
Answer:
1 4/5
Step-by-step explanation:
1 1/4+2/5=1 13/20
1 13/20+3/20= 1 6/20
simplified down to 1 4/5
Please will give brainliest and thanks
Answer:
Step 3
Step-by-step explanation:
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.
6 divided by 2 over 3
Answer: 1
Step-by-step explanation: 6/2=3 3/3= 1
Answer:
9
Step-by-step explanation:
6 divided by [tex]\frac{2}{3}[/tex] 2 over 3
6/(2/3) = 9
Check- [tex]\frac{2}{3}[/tex]*9 = 6
10
50 10
Why are the solutions to the proportions X - 20
and 50
20
the same?
X
because both result in the equation 20x=500, which simplifies to x = 25
because both result in the equation 20x = 500, which simplifies to X = 250
because both result in the equation 10x = 1,000, which simplifies to x = 10
obecause both result in the equation 10x = 1,000, which simplifies to x= 100
Which property of addition is shown in the equation below?Which property of addition is shown in the equation below? a + bi + 0 + 0i = a + bi commutative property inverse property identity property associative property
Answer:
C. Identity Property
Step-by-step explanation:
edge2020
Have a great day y'all :)
The equation [ a + bi + 0 + 0i = a + bi ] is identity property. Then option C is correct.
What is identity property?For addition, 0 serves as the identification element. The initial number is obtained by adding any number to 0. Example ( a+0=a). 1 serves as the identity element in multiplication. The result of multiplying any number by 1 is the original number.
The expression is,
a+ bi + 0+0i = a+bi
In the above number a+bi, another zero complex number 0 + 0i is added the result is the same as before. Hence, it is identity property.
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What are the answers to 5,6,and 7
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
Write the point slope form
slope= -1/3, Y intercept= -4
Answer: y+4=-1/3(x)
Step-by-step explanation:
y-y1=m(x-x1) (Formula)
Y-intercept -4 so point is (0,-4)
m or slope=-1/3
y--4=-1/3(x-0)
y+4=-1/3(x)
Jolene is cutting a strip of yarn that is 11/12 inch long into pieces that are 2/12 inch long for collage. How many complete pieces can she make?
Answer:
10.5/12
Step-by-step explanation:
Thats my guess from my math
Answer:
5 1/2
Step-by-step explanation:
1112÷16
Applying the fractions formula for division,
=11×6/12×1
=66/12
Simplifying 66/12, the answer is
=512
1/6 x 3/4 plssss I need help
Answer:1/8
Step-by-step explanation: :D CALULATOR BAD SPELL I KNOW