You need to hire a catering company to serve meals to guests at a wedding reception. Company A charges $250 plus $10 per guest. Company B charges $430 plus $8 per guest. For how many guests are the total costs the same at both companies?

Answer:

Answer:

the correct answer is 17.5%

Step-by-step explanation:

Answer:

Radius: 2

Center: (-3, 1)

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

Learn more about combinations and permutations here:

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Answer:

16

Step-by-step explanation:

Answer:

39.06 m

Step-by-step explanation:

Given that,

Height of the building, h = 50 m

The angle of elevation at top of building is 52° when seen from a point on level ground.

We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular

B is base.

So,

[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]

So, the distance between point and foot of the building is 39.06 m

Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Recall:

The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.

Apply the trigonometry ratio, TOA:

tan ∅ = opposite/adjacent

tan 52 = 50/x

x = 50/tan 52

x = 39.1 m

Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Learn more about trigonometry ratios on:

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If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

Answer:

A. 25.12 meters

..........

Answer:

Step-by-step explanation:

Take 8.

None of the equations work for 8.

Next, take 1.

None of the equations work for 1 either.

Third, take 15.

None of the equations work for 15 either.

Lastly, take 46.

The equations fit perfectly.

Hope that helps!

Answer:

b

Step-by-step explanation:

Answer:

Surface area

Step-by-step explanation:

Area is the space taken up by one surface plane

Volume is the amount of space taken up by the entire object

Perimeter is the length of all the edges of the shape combined

Answer:

They found 15 shells together :)

brainliest pls :D

Step-by-step explanation:

5+(5*2)=15

Answer:

15

Step-by-step explanation:

Jayda has 5

Ruby has twice as much as that which means she has 5(2)

Ruby has ten

Combine

15

:)

Answer:

9 hours

Step-by-step explanation:

If he earns 12.50 an hour...

112.50 ÷ 12.50 = 9 hours

Answer:

9 hours

Step-by-step explanation:

112.50 ÷ 12.50 = 9 or 9 hours

Answer:

Your answer is -5n=1.75

Answer:

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2|x+6| - 4[/tex]

Required

Find x when

[tex]f(x) = 6[/tex]

Substitute 6 for f(x)

[tex]6 = 2|x+6| - 4[/tex]

Add 4 to both sides

[tex]4+6 = 2|x+6| - 4+4[/tex]

[tex]10 = 2|x+6|[/tex]

Divide both sides by 2

[tex]5 = |x + 6|[/tex]

Rewrite as:

[tex]|x + 6| = 5[/tex]

This can be split to:

[tex]x + 6 = 5[/tex] or [tex]-(x + 6)=5[/tex]

Solve for x in both cases

[tex]x = 5 - 6[/tex] or [tex]x + 6 = -5[/tex]

[tex]x = -1[/tex] or [tex]x = -6 - 5[/tex]

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Answer:

i think it’s x= -1, x = -11

Step-by-step explanation:

Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180

Answer:

the first one is y=x-1/2 and the second one is y=-3x+1

Step-by-step explanation:

Answer:

z = 9/2

Step-by-step explanation:

1/2z = 9 1/4?

z = 9/2

Explanation:

Simplify

9 x 1/4 → 9/4

Multiply 2 to both sides to cancel out the 2

1z = 9/4

Note: 1z is just z

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

Answer:

[tex]A=2x^2+3x-5[/tex]

Step-by-step explanation:

Given that,

Length = (2x+5) cm

Width = (x-1) cm

We need to find the area of a rectangle. The formula for the area of rectangle is given by :

A = lb

[tex]A=(2x+5)(x-1)\\\\=2x^2-2x+5x-5\\\\=2x^2+3x-5[/tex]

So, the required area is equal to [tex]2x^2+3x-5[/tex].

Answer:

2(x-2) + 3 (4x-1) = 0​

x = 1/2

Answer:

the lions speed would be 24 mph

Answer:

200%

Step-by-step explanation:

Answer:

y = -1/2

Step-by-step explanation:

5^3 = (5^-2)^y-1

3 = -2(y-1)

3 = -2y + 2

1 = -2y

y = -1/2

Answer:

c

Step-by-step explanation:

tye both have the same amount on each side

Answer:

c

Step-by-step explanation:

Answer:

the function is increasing on (-4, 1)

Step-by-step explanation:

First the graph descends (drops), until it reaches x = -4.  Then the graph rises, until x = 1.  Thus, we say "the function is increasing on (-4, 1)."

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

☁️ Answer ☁️

I think it's the second one.

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️