The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3.2. How many members are in each group? Write your answer as football x basketball y


****PLEASE HELP********

Answers

Answer 1
We start with football =basketball +30 of x=y+30
Add 10 so that 3/2=(f+10)/(y+10) 
Now let's use substitution to get 3/2=(y+30+10)/(y+10) or 3/2=(y+40)/(y+10) 
Now cross multiply so 3(y+10)=2(y+40) or 3y+30=2y+80. Solve to get y=50, meaning x must be 80.
Now let's check to make sure it would be 3/2 if each gets 10 new members. Football would then have 90 and basketball would have 60, so yes, it works!!

Related Questions

What would a monthly payment be on a purchase of a $10,000 car at a 5.9% for 4 years?

Answers

The current monthly pay can be calculated as follows;
A=p(1/r/100)^n
A=10000
r=5.9/12=0.5%
10000=p(1+0.5/100)^(4*12)
10000=p(1.005)^48
p=10000/(1.005)^48
p=7,871
the monthly payment will be:
7871/12
=$655.92

Answer:

$234.39

Step-by-step explanation:

identify the graph of the equation. What is the angle of rotation for the equation? 13x^2+6sprt3xy+7y^2-16=0

Answers

We are given the equation:

13x^2 + 6√3 xy + 7y^2 - 16 = 0

Based on the general equation of conic sections:

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0,

A = 13
B = 6√3
C = 7
D = 0
E = 0
F = -16

So we can find the graph of the equation by solving for the discriminate B^2 - 4AC 

B^2 - 4AC, substitute given:

(6^2 * 3) - 4 (13 * 7) = -256

since the discriminate is less than zero, the graph could be a circle or a parabola. In this case, the values of A and C are not equal, then our graph is a parabola. 

Answer:

The answer is ellipse; 30° ⇒ answer (d)

Aiden calculated the area of triangle QRS below by finding half the product of 1.5 and 1.1.

Answers

His error is the second choice.
Aiden should have calculated
area = (1.1 * 5.4) / 2
because triangle area = half the base times the altitude.


Answer: The correct option is

(B) Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to 1.1 line.

Step-by-step explanation: Given that Aiden calculated the area of triangle QRS by finding half the product of 1.5 and 1.1.

We are to select the correct option which states the error made by Aiden.

The AREA of a triangle is given by

[tex]A=\dfrac{1}{2}\times \textup{base}\times \textup{altitude},[/tex]

where the altitude is perpendicular to the base.

In ΔQRS, the length of the base is given by

b = QS = 0.9 + 4.5 = 5.4 units

and

the length of the altitude is given by

h = 1.1 units.

So, the area of the triangle QRS will be

[tex]A=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 5.4\times 1.1[/tex]

Therefore, the area of ΔQRS will be calculated by finding half the product of 1.1 and 5.4.

So, Aiden made the error by finding half the product of 1.5 and 1.1, because 1.5 line is not perpendicular to 1.1 line.

Thus, Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to 1.1 line.

Option (B) is correct.

If you start with a number divide it by 4 then multiply it by two you end up with 8 squared

Answers

8 squared = 64

so

(x/4)*2 = 64

divide x/4 by 2 to get x/2=64

 now multiply both sides by 2 to get x=128

x = 128



Simplify the expression 3^5*6^-6/3^3*6^-4

A. 180
B. 5/2
C. 1/4
D. 3/20

Answers

3^5*6^-6/3^3*6^-4
= 3^(5-3) 6^(-6+4)
=3^2 6^-2
= 9/36
= 1/4

answer


C. 1/4

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

Answers

y = kx

x = 3.5 when y = 14
so

14 = 3.5k
k = 14/3.5
k = 4
when y = 18.
y = kx 
18 = 4x
x = 18/4
x = 4.5

answer

when y = 18, x = 4.5

Answer:

the value of x= 4.5

Step-by-step explanation:

If x varies directly with y and x = 3.5 when y = 14

x varies directly with y , so equation is x= ky

where k is the constant of proportionality

x = 3.5 when y = 14, use the given values and find out k

Plug in the given values in x=k y

3.5= k * 14

Divide by 14 on both sides

0.25= k

So the value of k = 0.25

Now find out x when y= 18

x= ky

x= 0.25 * 18= 4.5

A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the number 4 representing a success. What is the estimated probability of a success?

A.75%
B.60
C.25%
D.40%

Answers

The solution would be like this for this specific problem:

Given:

{0, 1, 2, 3, 4}
Success = 2, 3, and 4

 

Solution:

Success = 3 numbers
Sample = 5

= 3 / 5

= .6

= .6 * 100%

= 60%

So, the estimated probability of a success based from the randomly generated list of numbers being used to simulate an event is 60%.

 

 

To add, the measure of the likelihood that an event will occur is called probability and it is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty.

Am I doing this right?

Answers

For which one, and are you just finding the volume

Corrugated Specialties produces boxes of all kinds, and they manufacture an average of 67,000 shirt-size boxes per month. In November, they were told to increase production by 35%. How many shirt-size boxes will they produce in November? Hint: This question requires two calculations. A. 91,125 B. 23,625 C. 23,450 D. 90,450

Answers

The answer is A because p=production in november p=67000 +35%(67000)+0.35(67000)p=67000+2345p=90450
The production increased by
67,000×0.35=23,450

So they will produce in November
67,000+23,450=90,450....answer

PLEASE HELP

Probability allows a person to effectively measure the risks in selecting one alternative over others.

True
False

Answers

In order to mitigate and reduce the likelihood that the risk event will occur, the risk must be identified and analyzed. The process is called risk mitigation. The concept of probability occupies an important place in the risk management and decision-making process. The statement "Probability allows a person to effectively measure the risks in selecting one alternative over others" is true. It also called probabilistic modelling.

I won tickets to a trip for four to the Super Bowl. I have eight friends but I can only bring three of them. In how many ways can I form my Super Bowl party?

Answers

[tex]8C3=\dfrac{8!}{3!5!}=\dfrac{6\cdot7\cdot8}{2\cdot3}=56[/tex]

Answer:

56

Step-by-step explanation:

solve for b, then find the value of b when a = 3.
4a=2b-7

a. -9/2
b. 5/2
c. 19/2
d. 17

Answers

4a=2b-7
4(3) = 2b - 7
12 = 2b - 7
2b = 12 + 7
 2b = 19
   b = 19/2

answer
c. 19/2
Your answer will be 19/2

Solve each proportion. Show your work

Answers

a)
2x/7 = 12/14
x=6

I don't know b i am sorry
(2x)/7 = 12/14
cross multiply
(2x)(14) = (7)(12)
28x = 84
x = 84/28
x = 3

3 / (x - 1) = 5/7
cross multiply
5(x-1) = (7)(3)
5x - 5 = 21
5x = 21 + 5
5x = 26
x = 26/5 or 5.2





Which answer correctly describes the relationship between two of the lines in the figure?

Answers

a is perpendicular to c

The sum of two numbers is 61.61. if three times three times the smaller number is subtracted from the larger? number, the result is 5.5. find the two numbers.

Answers

x + y = 61
y - 3x = 5...y = 3x + 5

x + (3x + 5) = 61
4x + 5 = 61
4x = 61 - 5
4x = 56
x = 56/4
x = 14

y - 3x = 5
y - 3(14) = 5
y - 42 = 5
y = 42 + 5
y = 47

ur 2 numbers are 14 and 47

Your Cell Phone plane cost 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan

Answers

M= minute
T= total

55+35m=t

Hope this helps!

Answer:

F( x) = 0.35 x + 55

3. what is the simplified form of x+4/7 - x+3/x+5

Answers

(x + 4)  (x+5)          (x + 3)         7           x^2 + 2x - 1
------- *  -----       -    -----------  * --- =  --------------------
  7        (x+5)           (x + 5)        7            7( x + 5)

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

Simplify the expression, then we have

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

⇒ [(x + 4)(x + 5) - 7(x + 3)] / [7(x + 5)]

⇒ [x² + 9x + 20 - 7x - 21] / [7(x + 5)]

⇒ (x² + 2x - 1) / 7(x + 5)

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A restaurant offers a choice of 2 soups, 3 entrees, and 5 desserts. how many different meals consisting of a soup, an entree, and a dessert are possible?

Answers

multiply all of the numbers

A catering service offers 12 appetizers, 6 main courses, and 7 desserts. A banquet chairperson is to select 6 appetizers, 2 main courses, and 5 desserts for a banquet. In how many ways can this be done?

Answers

ways = 12C6 * 6C2 * 7C5
= 291060

Braces are used in interval or roster notation?

Answers

Braces, also called curly brackets in used to list the elements of a set in a roster notation.

While parenthesis is used in interval notation.

PLEASE HELP!!!
The first two steps in determining the solution set of the system of equations, y = –x2 + 4x + 12 and y = –3x + 24, algebraically are shown in the table. Which represents the solution(s) of this system of equations? (3, 15) (–4, 36) (3, 15) and (4, 12) (–3, 33) and (–4, 36)

Answers

y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 =  –3x + 24

x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3

y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)


answer
(3, 15) and (4, 12)

Answer:

C

Step-by-step explanation:

or (3, 15) and (4, 12)

The sum of two consecutive integers is 111. find the largest of these integers

Answers

divide 111 in half

111/2 = 55.5

 take the whole number above and below 55.5

 so you get 55 and 56

55 + 56 = 111

56 is the larger one

Slope (12,-18),(11,12)

Answers

If you are trying to find the slope using only these two points then you should first take note of what your X and Y values are. For instance, 12 & 11 are your X values and -18 & 12 are your Y values. Knowing this you can now find your slope by doing y2-y1/
x2-x1. You will get the fraction -30/1 or -30 which is your slope. Hope that made sense!
Final answer:

The slope of the line passing through the points (12, -18) and (11, 12) is calculated using the formula for slope (y2 - y1) / (x2 - x1). The result is -30.

Explanation:

The subject of this question is Mathematics, more specifically the topic of 'Slope of a Line'. The grade level appears to be High School.

To answer the question 'Find the slope for the given coordinates (12,-18) and (11,12)', we use the formula to calculate the slope between two points which is (y2 - y1) / (x2 - x1). Let's take (12, -18) as (x1, y1) and (11, 12) as (x2, y2). Now we just input the values into the formula:

Slope (m) = (12 - (-18)) / (11 - 12).

This simplifies to Slope (m) = 30 / -1 = -30.

So, the slope of the line passing through the points (12, -18) and (11, 12) is -30.

Learn more about Slope of a Line here:

https://brainly.com/question/14511992

#SPJ3

What is the following sum in simplest form? sqrt 8 + 3 sqrt2 + sqrt 32
\

Answers

[tex] \sqrt{8} +3 \sqrt{2}+ \sqrt{32} =\\\\ \sqrt{4*2}+3 \sqrt{2}+ \sqrt{16*2}=\\\\2 \sqrt{2}+3 \sqrt{2}+4 \sqrt{2}=\\\\ \boxed{9 \sqrt{2} } [/tex]

Answer:-[tex]\sqrt{8}+3 \sqrt{2}+ \sqrt{32}=9\sqrt{2}[/tex] in the simplest form.


Explanation:-

Given sum :- [tex]\sqrt{8}+3 \sqrt{2}+ \sqrt{32}[/tex]

To simplify, rewrite the numbers inside the root in the product of primes, we get

[tex]\Rightarrow\sqrt{2\times2\times2}+3 \sqrt{2}+ \sqrt{2\times2\times2\times2\times2}\\\\\Rightarrow\sqrt{2^2\times2}+3 \sqrt{2}+ \sqrt{4\times4\times2}\\\\\Rightarrow\sqrt{2^2}\sqrt{2}+3 \sqrt{2}+ \sqrt{4^2\times2}\\\\\Rightarrow2\sqrt{2}+3\sqrt{2}+\sqrt{4^2}\sqrt{2}\\\\\Rightarrow2\sqrt{2}+3\sqrt{2}+4\sqrt{2}=9\sqrt{2}[/tex]

Thus [tex]\sqrt{8}+3 \sqrt{2}+ \sqrt{32}=9\sqrt{2}[/tex] in the simplest form.

Joshua is 25 years old and has a high risk job making $72,000 a year. The insurance company charges him an extra 20% on top of his premium rate because of his job. If Joshua wants a policy that will replace five years of his salary, what is the annual premium for the cheapest policy?

Answers

I believe is $6,644...


(15 POINTS) A student is chosen at random from a school. Why are the events "choosing a student of age group 5−10" and "choosing a student of age group 11−15" mutually exclusive?
a) They are independent.
b) They are dependent.
c) A student can belong to only one age group.
d) A student can belong to both the age groups.

Answers

they would indepedent a
In probability, you study the chances, odds or likelihood of the event occurring. This is determined by dividing the number of possibilities to the total number of events. But terms may come up such as 'mutually exclusive'. Suppose, event A is for students ages 5-10, while event B is for students ages 11-15. The events A and B are said to be mutually exclusive when they do not intersect or meet at some point. In other words, when a student is in group A, he cannot be in group B because that becomes invalid and untrue. That seems logical because a student cannot be both 6 years old and 12 years old, right?

Hence, the answer to this question is letter C.

The value of the cumulative standardized normal distribution at z is 0.8770. the value of z is

Answers

The value of z would be 1.16

Final answer:

To find the z-score corresponding to a cumulative area of 0.8770 in a standard normal distribution, one can look up this area in a z-table or use statistical software, yielding a z-score of approximately 1.15.

Explanation:

The question involves finding the value of z in a standard normal distribution given that the cumulative area to the left of z is 0.8770.

The z-score is a measure that describes the position of a raw score in terms of its distance from the mean, measured in standard deviations.

To find the value of z corresponding to an area of 0.8770, one would typically use a z-table or statistical software. The z-table lists areas to the left (cumulative probabilities) for different z-values.

For an area of 0.8770, the z-score is approximately 1.15. This calculation is based on the standard normal distribution, where the mean is 0 and the standard deviation is 1.

Given the equation 2x + 4 = 4x − 2, select the reasoning that correctly solves for x.

Add 2, subtract 2x, then divide by 2.
Add 2, subtract 4x, then divide by −2.
Subtract 4, subtract 2x, then divide by −2.
Subtract 4, subtract 4x, then divide by 2.

Answers

Answer:

Number One / Letter A

Step-by-step explanation:

Add 2, subtract 2x, then divide by 2.

Hope This Helps!

What is the 7th term of the geometric sequence where a1 = -5 and a5 = -1,280?

Answers

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

Here we are give the initial term so we have to solve to solve for the common ratio...

a(5)=-1280 and a(1)=-5 so

-1280=-5r^(5-1)

-1280=-5r^4

256=r^4

256^(1/4)=r

4=r, so our sequence is:

a(n)=-5(4^(n-1)), so the 7th term is:

a(7)=-5(4^6)

a(7)= -20480


House is 50.0 ft long and 26 ft wide and has 8.0-ft- m high ceilings. what is the volume of the interior of the house in cubic meters and in cubic centimeters?

Answers

560 cm to the power of 2 
Other Questions
If the measure of angle A is 40* and the length of side b is 15 inches, which can be the length of side a if it is possible to form two triangles how does the government try to balance the rights of individuals with the good of society? WILL MARK BRAINLIEST ! The phenomenon of less-than-complete use of memory space in a fixed partition is called __________.. If you purchase or obtain a vehicle from someone else, you are responsible for transferring ownership of the vehicle to your name with the dmv within how many days of the purchase? Which of the following is true of the location of the terminal side of an angle 0 who's sine value is 1/2?0 has a reference angle of 30 and is in quadrant one or two 0 as a reference angle 30 and is in quadrant one or four0 has a reference angle of 60 and is in quadrant one or two 0 as a reference angle of 60 in is in quadrant one or four What was one major result of people moving from urban to rural areas after the fall of the Roman Empire? A = h/2 * (a + b ); for h What is the mass percent of nitrogen in lead (ii) nitrate (pb(no3)2)? Why do some auto insurance customers want medical coverage for their policies? Robin purchased a piece of land in the year 2000 for $15,000. The value of the land increases at the rate of 13.17% each year. Identify the function that represents the value of the land. Does the function represent growth, or decay?A) V(t) = 15000(0.8683)t; growth B) V(t) = 15000(1.1317)t; decay C) V(t) = 15000(0.08683)t; decay D) V(t) = 15000(1.1317)t; growth Alex's doctor says he has great strength and flexibility, but she is worried about Alex's cardiorespiratory health. Doctor asked him to list the activities he participates in regular. Alex list weightlifting, karate, rollerblading, and bowling. Which activity should Alex's doctor encourage him to participate in more often to increase his cardiorespiratory health? A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials? (5 points) Whenever a program or command is executed, the kernel assigns an identification number called a(n) ____ to the process? What international organizations could be contacted about this conflict? Why would you contact them? In which scenario would you be most likely to use your sense of touch to recognize the hazard?? The net force on a car is zero in both the horizontal and vertical directions. Which two situations could be true about the motion of the car? 1.The car is speeding up onto the highway. 2.The car is parked. 3.The car is moving at a fixed speed and direction. 4.The car is braking (slowing down). 5.The car is being struck by another car. reminder: variables are on both sides Bureau of Reclamation (excerpt)Millions of years of weather[ing] [had] eroded the canyon walls [where the Hoover Dam was to be built]. Water [had] frozen in cracks and crevices, splitting the rock. Before construction could begin on the dam, this loose rock had to be removed. Special men were required for the job, men called "high-scalers."Their job was to climb down the canyon walls on ropes. Here they worked with jackhammers and dynamite to strip away the loose rock. The men who chose to do this work came from many backgrounds. Some were former sailors, some circus acrobats, some were American Indians. All of them were agile men, unafraid to swing out over empty space on slender ropes.It was hard and dangerous work, perhaps the most physically demanding work on the entire project. Laden with tools and water bags, the men would descend the canyon walls. Jackhammer drills were lowered to them, and powder holes were drilled into the rock. The jackhammers weighed 44 [pounds] and had to be maneuvered into position by hand. Once the holes had been drilled into the rock, they were loaded with dynamite. After the shot, broken rocks sometimes had to be levered free using crowbars.Moving about on the cliffs was difficult and dangerous. Live air hoses, electrical lines, bundles of drill steel festooned the cliffs. The scalers had to carefully pick their way through the resulting maze. The danger from falling rocks and dropped tools was extreme.Question 4 of 17Which additional detail best fits the content of the passage?a reference to the stunts that some of the most daring workmen performeda reference to the improvised safety hats the workmen useda mention of the companies contracted for blasting equipmenta comparison of the wages paid to high scalers, miners, and shovel operators How was Wheatfield with Crows by Vincent Van Gogh significant to history? The image below represents part of what process? Two identical rings of DNA present in one elongated cell. A.Mitosis B.Meiosis C.Conjugation D.Binary fission Steam Workshop Downloader