1 game has 3 bags of green chips ; 2 bags of red chips ; 5 bags of yellow chips
1 bag: 25 green chips
1 bag: 30 red chips

total number of chips:
green: 3 x 25 = 75
red: 2 x 30 = 60
yellow: 75 + 60 = 135 answer to part a.

75 + 60 + 135 = 270 total number of chips.

270 / 54 = 5 players. answer to part b.

Each of the 5 players will have 15 green chips, 12 red chips, and 27 yellow chips, for a total of 54 chips.

8 0

2 years ago

A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^

Dmitry [639]

check the picture below.

so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².

now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,

$\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}$

notice, it cannot be -18, since is a positive length unit.

5 0

2 years ago

Read 2 more answers

Elias was given a lock for his school locker. The lock contains numbers between

daser333 [38]

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

$\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220$

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

6 0

2 years ago

insert grouping symbols to make the answer correct. Then evaluate the expression to justify your work. 9 + 3 • 4 - 6 + 12 / 3 =

Lena [83]

9 + (3 x 4) - 6 + 12/3 3 makes 12 4 times which is why 12/3 is 4
9 + 12. -6. +. 4
21 - 6 + 4
15+4 = 20

5 0

2 years ago