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Troyanec [42]
3 years ago
8

Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art

pottery. The regular cost is $21 per person. There is a group special that costs $8 per person with an additional $104 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.
Write an equation to show the total cost of the regular price with x people (8 points)
Write an equation to show the total cost of the group special with x people (8 points)
Mathematics
1 answer:
erica [24]3 years ago
3 0

Answer:

1. C=21x.

2. C=(8x+104).

Step-by-step explanation:

Let the number of people in the group be x. Denote the total cost as C.

1. If the regular cost is $21 per person, then the total regular cost for x people is C=21x.

2. If the special cost is $8 per person, then the total special cost for x people is \$8x. There is an additional $104 fee for a private room, thus the total special cost is C=(8x+104).

You might be interested in
Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0
3 years ago
Evaluate.<br> 13[42–(2+4)]
german

Answer:

468

Step-by-step explanation:

=13[42-6]

=13 (36)

=13×36

=468

6 0
3 years ago
100 lbs divided by 2.2 equals what
Keith_Richards [23]
The answer is 45.4545454545
3 0
3 years ago
Read 2 more answers
Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t
qaws [65]

Ropes are 9.63 meters ans 8.178 meters.

<u>Step-by-step explanation:</u>

Step 1 :

List all the given things

         Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

         Angle between two ropes = 86 degrees

         Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -  

            Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}

Step 4 :

By putting values, we have

\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}

Step 5 : Calculating a and b

a = 12.192 * \frac{sine 52}{sine 86}   ,   b = 12.192 * \frac{sine 42}{sine 86}      

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters                                

4 0
3 years ago
En una escuela hay 135 mujeres y la razón entre hombres y mujeres es de 7 a 9. ¿Cuántos estudiantes hay en la escuela? *
pochemuha

Answer:

There are 531.5625 students which is 531 students in the school

Step-by-step explanation:

We add the ratio numbers ( 7 + 9 = 16)

We then divide that number by 135 ( 135 / 16 = 8.4375)

After we multiply by each ratio number, ( 7 and 9).

And we end up with 531.5625, also 531 students.

--------------------------------------------------------------------------------

Hay 531.5625 estudiantes, que son 531 estudiantes en la escuela.

Explicación paso a paso:

Sumamos los números de razón (7 + 9 = 16)

Luego dividimos ese número por 135 (135/16 = 8.4375)

Después, multiplicamos por cada número de razón (7 y 9).

Y terminamos con 531.5625, también 531 estudiantes.

5 0
3 years ago
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