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BlackZzzverrR [31]
3 years ago
15

A drawer contains 22 brown socks and 22 black socks, all unmatched. A man takes socks out at random in the dark. What is the lea

st number of socks that he must take out to be sure that he has at least two socks of the same color?
Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Answer:

3 socks:)

Step-by-step explanation:

He has 22 brown socks and 22 black socks.

He must take 2 socks at least, but he can take different colors, so we have:

1.He takes one sock, let he takes brown socks.

2. He takes one socks more, it can be different color from first socks, so it can be black.

3. He takes one socks more which is black or brown, so we have both color, so he will have two socks with the same color.

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Reducing Fractions<br> 30/90
fgiga [73]

Answer: 1/3

<u>Divide</u>

30/90÷30/30=1/3

Since we are simplifying fractions we divide the numerator and the denominator by a number the fraction can go into.

We could use 10 then divide by 3. You can also just divide by 30 and get the answer.

Let's try dividing by 10 then 3!

30/90÷10/10=3/9

3/9÷3/3=1/3

As you can see we still get 1/3 when we divide by 3. Even tho you have to divide twice you still get 1/3. That's all that matters.

3 0
3 years ago
Whats the answer to this?
USPshnik [31]

Answer:

Sorry I don't know

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the compound inequality,
Feliz [49]

Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6

(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)

7 0
3 years ago
What whole number dimensions would allow the students to maximize the volume while keeping the surface area at most 160 square f
ycow [4]

Answer:

The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft

Step-by-step explanation:

Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²

For maximum volume, the side length, s of the cube must all be equal ;

Therefore area of one side = s²

Number of sides in a cube with top open = 5 sides

Area of surface = 5 × s² = 180

Therefore s² = 180/5 = 36

s² = 36

s = √36 = 6 ft

Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.

6 0
3 years ago
Ian has 12.2 ounce bottle of ketchip. He uses 1/20 of the ketchup every time he has a buffalo burger How many ounces of ketchup
tatiyna
If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or \frac{4}{20}.

\frac{4}{20} can be simplified to \frac{1}{5}, which means we need to work out \frac{1}{5} of 12.2

\frac{1}{5} is equivalent to 20%, which as a decimal is 0.2

0.2 x 12.2 = 2.44 - however, this is how much he has used, and we need to figure out how much is left.

12.2 - 2.44 = 9.76

So, Ian has 9.76 oz remaining :)

4 0
3 years ago
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