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andre [41]
3 years ago
13

Use the expression $100 + 5n to find the total price for n students to take a field trip to the science museum. If 175 students

go on the field trip, how much will total cost?
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

Total cost= $975

Step-by-step explanation:

Giving the following information:

Total cost= 100 + 5*n

n= number of students

<u>The $100 is a fixed cost. It remains constant no matter the number of students. The $5 is the unitary variable cost</u><u>.</u> The total variable cost increases with the number of students.

<u>Total cost for 175 students</u>:

Total cost= 100 + 5*175

Total cost= $975

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Which equation represents the relationship between the side length, x, and the perimeter, y? y = one-fourth x y = 4x y = x + 13.
elixir [45]

Answer: B.

Y = 4x

Step-by-step explanation:

Given that the side of a shape is x

The perimeter of the shape is y

Perimeter of a rectangle can be expressed as:

P = 2L + 2W

Where L = length and W = width

But if the shape is a square, and the side of the shape is x, then, the perimeter will be

P = 4x

Where perimeter P = Y

Therefore, perimeter Y will be;

Y = 4x

Therefore, the correct answer is B which is:

Y = 4x

4 0
2 years ago
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
Rama09 [41]

Answer:

work is shown and pictured

8 0
2 years ago
70 POINTS!!!
Maru [420]

Answer:

I think the answers your look for are

A. 2 square root of 20

B. 6^1/2-5^1/2

C. 4*5^1/2

Step-by-step explanation:


4 0
3 years ago
Using triangle A B C as the pre-image and the origin as the center of dilation, which coordinate point is not a coordinate of a
Ostrovityanka [42]

Answer:

The correct option is:

begin ordered pair 4 comma 12 end ordered pair i.e. (4,12).

Step-by-step explanation:

We are given the coordinates of the point A,B and C of the triangle ΔABC as:

A(-1,3) , B(2,1) and C(-2,-1).

Now it is given that there is dilation of this triangle about the origin with a scale factor of 4.

This means that the change in the coordinates after the transformation is given by the rule:

(x,y) → (4x,4y)

As A → A' , B → B' and C → C'

Hence the coordinates A',B' and C' are given by:

A' are (4×-1,4×3)=(-4,12)

B' are (4×2,4×1)=(8,4)

and C' are (4×-2,4×-1)=(-8,-4).

<em>Hence the coordinate point which is not a coordinate of dilation is:</em>

<em>begin ordered pair 4 comma 12 end ordered pair  i.e. (4,12)</em>

3 0
3 years ago
Brandon just bought a new coffee table. The length of the coffee table is 5 more than 3 times the width. If the perimeter of the
a_sh-v [17]

Answer:

The length is 23 inches and the width is 6 inches.

Step-by-step explanation:

The perimeter for a rectangular shape is represented as:

P = 2L + 2W, where L represents length and W represents width

We can represent the length as:

L = 3W + 5

Substituting this into the perimeter function, we get:

P = 2 (3W + 5) + 2W

Substituting 58 for P, we get:

58 = 2 (3W + 5) + 2W

58 = 6W + 10 + 2W

58 = 8W + 10

58 - 10 = 8W + 10 - 10

48 = 8W

48 / 8 = 8W / 8

6 = W

With 6 being the established value for the width, we can substitute this back into the equation for length:

L = 3W + 5

L = 3(6) + 5

L = 18 + 5

L = 23

To check our work, we can substitute both the width and length into the perimeter equation:

P = 2L + 2W

58 = 2(23) + 2(6)

58 = 46 + 12

58 = 58

Therefore, length is 23 inches and the width is 6 inches.

5 0
3 years ago
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