Ask question

Ask question

All categories

4 years ago

14

For soccer camp 15 coaches and 35 player split into groups and each group had the same number of players and the same number of

coaches at most how many groups were there how many coaches were in a group how many players were in a group

1 answer:

Musya8 [376]4 years ago

6 0

5 groups with 3 coaches and 7 players on each of the 5 teams

You might be interested in

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

4 years ago

Find I. Choose the right answer. Amount Financed (m) = $1,100 Number of Payments per year (y) = 12 Number of Payments (n) = 18 T

NikAS [45]

B. 10.1%

(2)(12)($88.18) ÷ [($1100)(18+1)]
(2,116.32) ÷ (20,900)
= 0.1012
= 10.1%

5 0

3 years ago

Read 2 more answers

Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm o

cricket20 [7]

Answer:

1617 cm of thread.

Step-by-step explanation:

We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:

231 cm thread / 1 cm shirt

they tell us that she managed to remove 7 cm of shirt, therefore:

7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread

Therefore Kira obtained 1617 cm of thread.

6 0

3 years ago

Last Sunday 1,575 people visited the amusement park 56% of the visitors were adults, 16% were teenagers, and 28% were children a

natulia [17]

<u>Answer:</u>

The number of adults, teenagers out of 1,575 people visited the amusement park are 882 adults and 252 teenagers

<u>Explanation:</u>

Total no of people who visited the amusement park= 1575

Percentage of adults=56%

Percentage of teenagers=16%

Percentage of 12 and under= 28%

Number of adults present= $\frac{56}{100}\times 1575$

=882

Number of teenagers present= $\frac{16}{100}\times 1575$

=252

Hence, 882 adults and 252 teenagers visited the amusement park

5 0

4 years ago

I don't know the answer to this and the hints not helping so please help?

balandron [24]

I'm pretty sure that you multiply 10x by 6. Since it is length by width those are the length and the width.

Glad I could help!

6 0

4 years ago