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Stells [14]
3 years ago
6

santa has lots of mixed up socks in his sack. if he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the

minimum he needs to pull out to get a matching pair?

Mathematics
2 answers:
REY [17]3 years ago
6 0
This does not state with or without replacement so I did it without replacement.

marysya [2.9K]3 years ago
4 0
2, as you need a pair
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PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?
IgorLugansk [536]
You can use the discriminant rule, which is :
b^2 -4ac
“exactly one solution” means that it is equal to zero
so:
b^2 -4(4)(9)=0
b^2 -4(36)=0
b^2 -144=0
b^2=144
square root both sides
b=12 or -12

hope this helps !
3 0
2 years ago
Read 2 more answers
if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet
anzhelika [568]

Answer:

1/5

Step-by-step explanation:

Well work can be defined as: work = rate \ *\ time

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: 10a + 10b=1 where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: 15b=1

If we divide by 15 here, we get the equation: b=\frac{1}{15}

We can now use this definition to substitute it into the first equation we made.

10a + 10(\frac{1}{15}) = 1

Multiply the 10 and 1/15

10a+\frac{2}{3}=1

subtract 2/3 from both sides

10a=\frac{1}{3}

Now divide both sides by 10

a=\frac{1}{30}

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

6a=\frac{6}{30}

Now divide both the numerator and denominator by 6

a=\frac{1}{5}

8 0
2 years ago
What is the measurement of angle 2
AysviL [449]
69 is the measurement of angle 2
5 0
2 years ago
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A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.
algol13

Answer:

14,28,42 and 56

Step-by-step explanation:

Multiply all lengths by 2 as the quadrilateral is dilated by a scale factor of 2

6 0
3 years ago
Read 2 more answers
A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.
tatyana61 [14]

Answer:

(a)g(n)=0.05\cdot 2^n

(b)g^{-1}(n)=\log_{2}20g(n)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n

<u>Part B</u>

<u />g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)<u />

<u />

<u>Part C</u>

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0
3 years ago
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