The cost of a school banquet is 75$ plus 15$ per person.


1- write a linear equation for the above situation

2- What do you think the slope and the y intercept is?

3- what would the inverse above mean?

4-How much would it cost is 75 people came

5- If the final bill was 630$ How many people attended

PLEASE show work!! 24 points

Answer:

1. 10a - 5b

2. 19x + 8y

3. a2 + 7a + 12

4. 10x2 + 17xy + 3y2

5. m2 - n2

6. p2 - 4pq + 4q2

Answer:

Step-by-step explanation:

number one is 10

number two is (c) they have the same median

Answer:

C/B

Step-by-step explanation:

test 1: 90 - 50 = 40

test 2: 100 - 40 = 60

60 - 40 = 20

test 1 is 60 and test 2 is 80

Answer:

c

Step-by-step explanation:

The limit exists because it's continuous since they equal each other

when x approaches zero.

Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

Answer:

72°

Step-by-step explanation:

4+2+6+8=20

360÷20=18

AC=4x18=72

Answer:

Amar pays the most

Step-by-step explanation:

Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.

Hope this helps!

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Answer:

C. equilateral

Step-by-step explanation:

Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.

Thus, since all three sides are the same length, the triangle created is equilateral.

Have a nice day! ^-^

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

Answer:

16 2/3

Step-by-step explanation:

Answer: D!! also 35% are spotted

Answer:

The answer is a.

Step-by-step explanation:

This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.

Answer:15

Step-by-step explanation:

Answer:  The value of the median is 15.

Step-by-step explanation:

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

Answer:

13.5

Step-by-step explanation:

your teacher wrote all the tools you need down already.

we only need to apply them.

is that really so difficult ?

because of the law of sines we have

sin(27)/11 = sin(34)/x

we can also turn this upside down to simplify the calculation.

11/sin(27) = x/sin(34)

x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5

there, that was all there was to it ...

Answer:

Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates

Step-by-step explanation:

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

Step-by-step explanation:

Answer:

probability of selecting the square is 63.7% approximately

Step-by-step explanation:

First of all, the probability of the point of choice is within the red square can be obtained with this formula

probability = expected outcome / total number of possible outcomes

In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.

We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.

Area of the square

Area of the square = [tex]l^2[/tex]

where length = [tex]4\sqrt{2}[/tex]

Area = [tex](4\sqrt{2}) ^2 = 32cm^2[/tex]

Area of the circle

Area of the circle = [tex]\pi r^2[/tex]

area of circle =[tex]\pi \times 4^2 =50.26cm^2[/tex]

Probablity of selecting the square =

32/50.26 = 0.6366

To express this as a percentage, we multiply our answer by 100.

This will give us 0.6366 X 100 = 63.7% approximately

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

4.57438 to the nearest tenths place is 5.

Answer:

1. 18.84 2. 172.2 3.219.8

Step-by-step explanation:

1.   formula: v=(r*pi)*h

v=(6^2*3.14)*4

v=(36*3.14)*4

v=113.04*4

v=452.16

2. formula: v=(r*pi)*h

because you were given the diameter for number 2 you would have to do 10/2 to find the radius. so 5

now plug it into you're equation.

v=(5^2*3.14)*11

v=(25*3.14)*11

v=78.5*11

v=863.5

3. formula: v=(r*pi)*h

v=(7^2*3.14)*10

v=(49*3.14)*10

v=153.86*10

v=153.86

Answer:

53092.92 square inches

Step-by-step explanation:

Surface Area of a Sphere = 4πr2

Radius = ½D = 130÷2 = 65

4 × 3.14 × 65² = 53092.92

Answer:

D) 675 units per day.

Step-by-step explanation:

We can write a function to model the situation.

The company is currently producing 275 units per day.

And it will increase its production by 50 units after each year.

Therefore, after y years, its production in units per day will be:

[tex]f(y)=275+50y[/tex]

Then 8 years from now, the company will be producing:

[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]

Our answer is D.

Answer:

x = 6 (brainliest..?)

Step-by-step explanation:

x² = 4(4 + 5)

x² = 36

x = 6

Answer:

The function g(x) increases faster than the function f(x)

Answer:

5 faces

8 edges

5 vertices

The Answer Is KL/YZ=8

have an amazing day <3

Answer:

D

Step-by-step explanation:

JL/XZ = 8