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3 years ago

Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair

1 answer:

5 0

As pair means that 2 socks with the same color need to be drawn for it to be identified as a pair.
However there is a probability that if u only pick 2 socks, then they could kid each have different COLORS.
By picking 3 socks (bearing in mind there are only 2 types of color) it’s guaranteed that two socks will have the same color.

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Please answer the everything thank you ! i'll mark the brainlest!!!!! :)

kari74 [83]

Answer:

1. a. 2 KM ; b. 9000 m

2. a. 9 L ; b. 3000 g

3. a. 6000 ml ; b. 9

4. a. 60 mm ; b. 4000 m

5. a. 1 km ; b. 2 kg

6. a. 5 ; b. 4 m

7. a. 4000 ml ; b. 3000

8. a. 10 kg ; b. 20 mm

9. a. 10 km ; b. 9kg

10. a. 4 kg ; 8 l

4 0

3 years ago

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul

kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola? namely, at what cost for how many bats?

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill$

6 0

3 years ago

A moving company charges $30 plus $0.15 Per mile to rent a moving van another company charges $15 plus $0.20 per mile to rent th

sergejj [24]

30+0.15x=15+0.20x
x=15/0.05
x=300

6 0

3 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

ipn [44]

Answer:

$y = \frac{-x}{3} + 5$

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and (-3, 6) is:

m = $\frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}$

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and (x₁, y₁) = ( -6, 7) in above equation,

$(y - 7) = \frac{-1}{3}(x - (-6))$

$(y - 7) = \frac{-1}{3}(x + 6)$

$3y - 21 = -x - 6$

$3y = -x - 6 + 21$

$3y = -x + 15$

$y = \frac{-x + 15}{3}$

$y = \frac{-x}{3} + 5$

Option B is the correct answer.

6 0

3 years ago

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Concrete can be purchased by the cubic yard. How much will it cost to pour a slab that is 17 ft by 17 ft by 2 ft if the concrete

ANTONII [103]

To solve for how much it would cost, we have to solve for the volume of the slab first, then multiply it by the given price of concrete.

Solving for the volume of the slab:

Since the given price is in cubic yard, it is easier to convert the given measurements from feet to yards first. Using the relation: 1 ft = 0.333 yd:

17 ft = 5.67 yards
2 ft = 0.67 yards

17ft x 17ft x 2ft = 5.67 yd x 5.67 yd x 0.67 yd = 21.54 yd^3

Multiplying this by $40.00 / yd^3:

21.54 x 40 = 861.59

Therefore, it will cost $861.59 to pour the slab.

8 0

3 years ago

Read 2 more answers