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3 years ago

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Packages of mixed-colored socks contain 8 pairs of socks. In each package, there are 5 pairs of White socks. How many pairs of w

hite socks would there be in 40 pairs of socks. Complete the table. What pattern do you see in the table

1 answer:

BabaBlast [244]3 years ago

6 0

125 5 diced by 40 = 125

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1/3x + 1/3 = 7x + 5/ 2 find x

LekaFEV [45]

Answer:

-13/40 or -0.325

Step-by-step explanation:

6 0

2 years ago

If the price of rail season tickets increases by 4% every year, work out the price after 3

Zarrin [17]

Answer:

3048 x 1.04 ^3 = 3428.585474

4 0

2 years ago

Find the x- and y- intercepts of the following equation.

Ivanshal [37]

Answer:

The x-intercept is $(4,0)$

The y-intercept is $(0,-3)$

Step-by-step explanation:

Suppose you have a function f:

$f = f(x,y) = 0$

The x-intercept is the value of x when $y = 0$ .

The x-intercept is the value of y when $x = 0$ .

Solution

We have:

$f(x,y) = -3x + 4y = -12$

$-3x + 4y + 12 = 0$

x-intercept

The x-intercept is the value of x when $y = 0$ . So:

$-3x + 4(0) + 12 = 0$

$-3x + 12 = 0$ *(-1)

$3x - 12 = 0$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The x-intercept is $(4,0)$

y-intercept

The y-intercept is the value of y when $x = 0$ . So:

$-3(0) + 4y + 12 = 0$

$4y + 12 = 0$

$4y = -12$

$y = \frac{-12}{4}$

$y = -3$

The y-intercept is $(0,-3)$

5 0

2 years ago

CAN SOMEONE PLEASE SOLVE AND EXPLAIN THIS FREAKING QUESTION????????????????????????????????????/PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE

mr Goodwill [35]

Answer:

Step-by-step explanation:

sinx=(opposite side)/(hypotenuse)

There really is no ‘explanation’ as that ratio IS the definition of sin.

7 0

2 years ago

Read 2 more answers

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

$A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2$

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0

2 years ago