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castortr0y [4]
2 years ago
14

Charles has eight different winter scarves, and he wears three at a time. How many different ways can Charles wear three scarves

? 6,720 56 112 336
Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Answer:

Ans= 6720 ways

Step-by-step explanation:

From Combination rule from Permutation and Combination, nCr

We use 8^C3 or 8C3,

8x7x6x5x4x3x2x1

--------------------------  =6,720

3x2x1

or

8x7x6x5x4x3! /3!, here the 3! cancels each other out, and we're left with 8x7x6x5x4, which equals 6720.

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The table below represents a linear function f(x) and the equation represents a function g(x):
Eddi Din [679]

A: Looking at the last two rows of the table of f(x), the slope is simply (3-0)/(1-0) = 3, while the slope of g(x) is the coefficient of the variable x, which is 7.


B. y-int is the y value when x = 0. f(x) has a y-int of 0, which g(x) is 2. The latter has a greater y-int.

3 0
3 years ago
Read 2 more answers
Andre found an old mustang car that can fix.he bought the car of 65⁰/0 of the original $7200 price.what did andrew pay for the c
JulsSmile [24]

Answer:

Step-by-step explanation:

Thinking of this in terms of words, we are looking to solve the equation:

"The price Andre paid for the car is 65% of the original $7200 price" which in algebra-speak is

p = .65(7200) where p is the price Andre paid (our unknown), the word "is" indicates an equals sign, .65 is 65% as a decimal, the word "of" indicates multiplication, and the original price is...well, the original price.

Solving for p:

p = $4680

4 0
2 years ago
What is the best estimate for V18
Sladkaya [172]

Answer:

34/8-16/3-14/9

Step-by-step explanation:

3 0
3 years ago
Find area of the shaded region.
Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}

Now, we can find the area of the triangle. We can use an alternative formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)

The area of the shaded region is equivalent to the sector minus the triangle:

A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}

Therefore:

A_{\text{shaded}}=15\pi -18\sin(150)

Use a calculator:

A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2

The area of the shaded region is about 38.1 square centimeters.

6 0
3 years ago
Ian can buy bottles of water in packages of 6 for $9.24 or in packages of 4 for $8.80. How much money does he save by buying 12
kati45 [8]

Answer:

Ian saves 7.92

Step-by-step explanation:

9.24/6=1.54

2*9.24= 18.48

8.80/4=2.20

3*8.80= 26.40

26.0 - 18.48 = 7.92

7 0
3 years ago
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