The cost of a school banquet is $95 plus $15 for each person attending .write an equation that gives total cost as a function of the number of people attending.what is the cost for 77 people

Answer:

It decreased 60%

Step-by-step explanation:

TO figure this out we must first find 1% of 60

60/100 = .6

Now we find the difference between 60 and 24

60 - 24 = 36

Now that we know how much it decreased we must now find out what percent 36 is of 60.

.6 x 60 = 36

So 36 out of 60 is 60%

So it decreased 60%

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The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².

A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.

The area of a triangle is half of the product of the base and height.

Given that

ABCD is square and M and N are mid-points of lines AB and AD respectively.

Area of triangle, ΔAMN = 8 cm²

[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)

Since ABCD is square, therefore AB = AD.

Also, as M and N are mid-points of lines AB and AD, so

AN = AM.

Substitute AN = AM in equation (i),

[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]

So,

AD = 2 × AN

     = 2 × 4

     = 8 cm

As ABCD is square,

AB = BC = CD = AD = 8 cm.

Area of the square ABCD = 8² = 64.

Since CD = BC, ND = MB, ∠D = ∠B.

Therefore by SAS property of similarity,

ΔCDN ≅ ΔCBM

Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.

                                              [tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]

Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM

Area of the triangle, ΔCMN = 64 - 8 - 16 - 16

                                              = 24 cm²

Therefore, the area of ΔCMN  is 24 cm².

Learn more about Triangles here:

https://brainly.com/question/2773823

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Answer:

wish that will help u

Answer:

The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;

A y = 3·x

Step-by-step explanation:

The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie

The number of points she will earn for attending each movie = 3 points

The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;

y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write

[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]

Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.

Answer:

1^1+2^3 I believe

Step-by-step explanation:

=3³-²+2³

=3¹ + 2³

= 3+ 8

=11

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

Answer:

54.27333333

Step-by-step explanation:

just put them all into a calculator and multiply them

1/3*23.26*7=54.27333333

Answer:

around 54.27

Step-by-step explanation:

Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)

1/3 * 23.26 * 7 = 54.273 (repeating)

Answer:

Step-by-step explanation:

Both the triangles on the left and right are isosceles

The top angle of the triangle on the left:

The top angle of the triangle on the right:

This is the same angle as supplementary with angle 2:

Correct choice is 4

Answer:

√(3)/3

Step-by-step explanation:

cos(A) = adj./hyp.

adj. = √(3) or √(3)/2

hyp. = 2 or 1

use unit circle:

hyp. = 1

adj. = √(3)/2

use pythagorean theorem c² - b² = a²

1² - (√(3)/2)² = 1 - 0.75 = 0.25

a² = 0.25

a = √(0.25)

a = 0.5

tan(A) = opp./adj.

tan(A) = 0.5/(√(3)/2)

tan(A) = 1/√(3)

rationalize

tan(A) = √(3)/3

Answer:

uh im sorry

Step-by-step explanation:

uh

Answer:

because she found me

Step-by-step explanation:

quite simple.

hope this helps-------------

Answer:

the answer for both of them is x=4/5y-4

Step-by-step explanation:

Step 1: Add 8y to both sides.

10x−8y+8y=−40+8y

10x=8y−40

Step 2: Divide both sides by 10.

10x/10=8y−40/10

x=4/5y−4

Answer:

x=4/5y−4

hope this helped :)

Answer:

A - y = 1200(1+.05)^30

Step-by-step explanation:

In this case, you need to calculate the future value and the formula to calculate that is:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:

FV=1200*(1+0.05)^30

According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.

Answer:

B

Step-by-step explanation:

0.075 l+

0.200 l

=0.275 l

Answer:

B.)

Step-by-step explanation:

I took the test

Answer:

430 cm squared

Step-by-step explanation:

SA= 2(Length x Base, Base x Height, Height x Length)

15cm x 5cm +

15cm x 7xm +

7cm x 15cm =

215cm

215cm x 2 = 430 cm squared.

(it's perimeter of a 3D object so it must be squared, then volume would be cubed)

I hope this helps <3

Answer:

See below

Step-by-step explanation:

h(0) is the height of the ball when it is thrown.  h(0) = 80 ft.  The top of the building is 80 ft. above ground.

Answer:

D. 6.01

Step-by-step explanation:

6.01 is greater than six.

Answer: D

Step-by-step explanation:

“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.

Answer:

D) -1 < x < 4

Answer:

the right answer is:

Step-by-step explanation:

You take the equations that the exercise give you:

Now you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:

   3. y =  x - a

And now, you'll replace this third equation in the equation you didn't take (the first in this case).

Add the x variables:

That's the answer of the exercise, but you can represent this in this form:

By this reason, the right answer is [tex]x = 2+ \frac{1}{2} a[/tex].

9514 1404 393

Answer:

  A

Step-by-step explanation:

If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:

  5x = 47 1/2 . . . . . . mismatch with statement A

Statement A is false.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets

Answer and Step-by-step explanation:

If we put [tex]-\frac{9}{20}[/tex] into decimal form, we get -0.45.

-0.45 is greater than -0.5, so,

[tex]-\frac{9}{20}[/tex] is greater than -0.5.

#teamtrees #PAW (Plant And Water)

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4x + 7 = 2y - 3

7 = 2y - 3 + 4x

0 = 2y - 3 + 4x - 7

-2y = -3 + 4x - 7

-2y = 4x - 10

y = -2x + 5

As the slope of the line is equal to the value of x, the slope of this line is -2

Answer:

8m

Step-by-step explanation: