In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every 2 coaches. If the total number of players and coaches in the two clubs is 232, how many players and coaches are in each club?

Answers

Answer 1

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Answer:

Tigers: 8 coaches, 72 playersEagles: 16 coaches, 136 players

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

  10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.


Related Questions

7 divided by 345689 ​

Answers

Answer:

Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941

HELP PLS
Given the exponential function f(x) and the logarithmic function g(x), which of the following statements is true?
*Exponential function f of x equals 3 to the power of x minus 1 that increases to the right passing through the point 0 comma 0 and logarithmic function g of x equals log in base 3 of x minus 3 increasing from left to right passing through the point 1 comma negative 3
A. As x approaches infinity, f(x) approaches infinity, and g(x) approaches 0.
B. As x approaches infinity, f(x) approaches 2, and g(x) approaches 0.
C. As x approaches infinity, f(x) approaches 2, and g(x) approaches infinity.
D. As x approaches infinity, f(x) approaches infinity, and g(x) approaches infinity.

Answers

Answer:

As x→∞, f (x)→∞ and g(x)→∞.

Step-by-step explanation:

Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.

HELP ME PLS!!!!!!!!

Answers

9514 1404 393

Answer:

  $58

Step-by-step explanation:

James currently has $67 less than $125:

  $125 -67 = $58

James currently has $58.

solve for x, need help asap!

Answers

Let's solve for x using trigonometric relation ( Cos )

we know,

[tex] \cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2} [/tex]

now

[tex] \dfrac{x}{8} = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 8 \times \dfrac{ \sqrt{3} }{2} [/tex]

[tex]x = 4 \sqrt{3} [/tex]

hence, the value of x is [tex] 4 \sqrt{3} [/tex]


At the zoo the polar bears are fed 0.1 bucket of fish a day.
The penguins are fed 0.83 that amount. How much of a
bucket are the penguins fed?

Answers

Answer:

0.083

Step-by-step explanation:

0.1 x 0.83 = 0.083

There are 0.083 bucket are the penguins fed.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Now,

Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Hence, The bucket are the penguins fed is,

⇒ 0.83 × 0.1

⇒ 0.083

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ2

Plz help me with these with steps

Answers

Answer:

10. 9/40

11. $72

Step-by-step explanation:

10.

Step 1: Have the whole cake as 1,

[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]

11.

Step 1: Find the remaning income left

[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]

Step 2: Calculate the weekly income

3 units = $27

1 unit = $9

Weekly income = $9 * 8 = $72

which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50

Answers

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

3. A sea gull was flying 4 feet above sea level when a fish below it jumped one foot out of the water. How far apart were the seagull and the (unlucky) fish?​

Answers

Answer: 3ft difference

Step-by-step explanation:

Seagull = +4ft

Fish = +1ft     (since it jumped 1ft above sea level)

4-1 = 3ft difference

Kelly said that 97/1000 can be written as 0.97 is correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097

And finally we have:

97/1000 as a decimal equals 0.097

brainiest to whoever right

Answers

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

x^2 - 4x - 12

=x^2 - 6x + 2x - 12

=x( x - 6) + 2(x - 6)

=(x - 6)(x + 2)

Answer:

x^2 -4x-12

factorization of 12 =2×2×3 = 6×4

or in the place of 4x = we put (6-2)x

x^2-(6-2)x-12

x^2-6x+2x-12

x(x-6)+2(x-6)

(x-6) (x+2)

what number divided by four equals three?

Answers

Answer:

12 divided by 4 equals 3

Step-by-step explanation:

1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.

Answers

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Answer:

  all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.

All of the numbers listed except π are rational.

10) Pete is fast, Repeat is 3 times faster. If
Pete and Repeat can complete the job in
56 minutes, how fast is Pete? (I want
Pete's time only)

Answers

Answer:

14 minutes

Step-by-step explanation:

if Pete is x times fast then Repeat is 3x faster

so if both combine to complete a job in 56 minutes then we have

[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]

remember Pete is x hence Pete was 14 minutes fast

Find the value of x 8/x=6/30

Answers

Answer:

x = 40

BRAINLIEST, PLEASE!

Step-by-step explanation:

8/x = 6/30

8/x = 1/5

x = 8/(1/5)

x = 8(5)

x = 40

Express the following as the sum of twin primes
a) 84
b)36
c)24
d)425

Answers

Answer:

answer it's c)24...

Step-by-step explanation:

i think helping you..... please tell correct or no...

A line passes through the point (-6,-9) and has a slope of . Write an equation in slope-intercept form for this line.

Answers

Answer:

y = [tex]\frac{5}{2}[/tex]x + 6

Step-by-step explanation:

Consider the sequence of numbers 50,48,46,44….
(A) What are the next three numbers in this sequence?
(B) Using n to represent the position of a number in this sequence, write an expression that allows you to calculate the nth number.
(C) use your expression to find the 100th number in this sequence

Answers

Step-by-step explanation:

(A) 42,40

(B) T(n) = 50 + (n-1)(-2)

= 50+2-2n

= 52-2n

(C) T(100) = 52 - 2(100)

= 52- 200

= - 148

how to find the sum of 12 and 36 using the gcf and distributive property

Answers

I don’t really know ask Siri

) A real estate agent sells a unit for $800 000. The commission rate is 2.75% of the selling price. Calculate the commission. (A) $25 000 (B) $27 750 (C) $220 000 (D) $22 000

Answers

Answer:

The answer is (D) $22 000

Step-by-step explanation:

800,000/100 = 8,000

I did this to show 1% of 800,000 is 8,000 (To find 1% of a number always divide it by 100)

8,000*2.75=22,000

I did this because since I know 8,000 is 1% percent of the price I can times it by the percentage rate to find how much the commission is. Also note that there are other ways to solve this equation that may suit you better, this is the way I do it and I find it much more faster.

Describe how many zeros this equation will have, and where they are.
(1 Point)
f (x) = -2x2 – 5x – 2

Answers

Answer:

Let y=x

2

−5x+6, when we substitute different values of x in the equation y=x

2

−5x+6 then value of y changes accordingly.

When x=0 then

y=(0)

2

−(5×0)+6=0−0+6=6

The point is (0,6)

When x=2 then

y=(2)

2

−(5×2)+6=4−10+6=10−10=0

The point is (2,0)

When x=3 then

y=(3)

2

−(5×3)+6=9−15+6=15−15=0

The point is (3,0)

Therefore, the coordinates are (0,6), (2,0) and (3,0) and the graph of the quadratic equation y=x

2

−5x+6 is as shown above.

Hence, from above graph, we get that x=2 or x=3.

what is the equivalent ratio of 24 to 6

Answers

Answer:

1/4

Step-by-step explanation:

24/6

4

4+4+4+4+4+4

An apartment building contains 250 apartments. There are 50 more 2-bedroom apartments than 1-bedroom apartments. How many apartments of each type are there

Answers

Answer:

100

Step-by-step explanation:

Answer:

100 1- bedroom and 150 2- bedroom

Step-by-step explanation:

let x be the number of 1- bedroom apartments , then

x + 50 is the number of 2- bedroom apartments , so

x + x + 50 = 250 ( subtract 50 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom

Please help

Solve the inequality.
1
x+ z
x+-3-3 or x - 3>-2
'
7.
x <
or x >[ ]
[?]

Answers

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Answer:

  x ≤ -7/2 or x > 1

Step-by-step explanation:

To solve the left inequality for x, subtract 1/2 from both sides:

  x ≤ -3 -1/2

  x ≤ -7/2

__

To solve the right inequality for x, add 3 to both sides.

  x > -2 +3

  x > 1

For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y

Answers

Answer:

It has two solutions

Step-by-step explanation:

[tex]y = 5(x - 4)[/tex]

substitute for y in second equation:

[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]

then for y:

[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]

what is the annual salary equivalent to a semimonthly salary of $834.08?

Answers

Answer:

$20,017.92

Step-by-step explanation:

Semimonthly means twice a month.

There are 12 months in a year.

12 x 2 = 24 (because they are payed twice a month)

24 x 834.08 = 20017.92

If 2/5 of a pole is 3:6,what will be the length of 5/9 of it?​

Answers

Answer:

Ans : the length of 5/9 is 5m

Solve for y: -5(2y+3) +5=40

Answers

Answer:

Step-by-step explanation:

-5(2y + 3) +5 = 40

-10y - 15 + 5 = 40

-10y = 40 +15 - 5

-10y = 50

y =[tex]\frac{50}{-10\\}[/tex]

y = -5

Which number has a 6 that is 1/10 the value of the 6 in 6,239

Answers

Answer:

it is b

Step-by-step explanation: hope help

_____ - (-5) = -15
pls help

Answers

Answer:

[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]

Answer:

y-(-5)=-15

y+5=-15

y=-15-5

y=-20

What length of cable, rounded to the nearest foot is needed to connect the top of a 60-foot tower to an anchor point 35 feet

from the base of the tower?

A) 73

B) 67

C)69

D)64

Answers

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Answer:

  C)  69 ft

Step-by-step explanation:

The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.

  length = √(60² +35²) = √4825 ≈ 69.46

The length needed is about 69 feet.

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