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Ludmilka [50]
4 years ago
13

Which equation best models the fine schedule for overdue books? , where x is the cost in cents for a book that is y days overdue

, where y is the cost in cents for a book that is x days overdue , where x is the cost in cents for a book that is y days overdue , where y is the cost in cents for a book that is x days overdue Mark this and return
Mathematics
1 answer:
earnstyle [38]4 years ago
4 0

x is the independent variable, and in this scenario, the independent variable is the number of days overdue. So the best equation would be where x is the number of days overdue, and y is the cost in cents.


Example equation:



x = number of days overdue

y = cost in cents

z = total price

z = yx

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at the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. three cheeseburgers and two
qwelly [4]

Answer:

There are 230 calories in each cheeseburger  and  290 calories in each small fries.

Step-by-step explanation:

Let us assume:

The calories  in each cheeseburger  = x

The calories  in each small fries  = y

So, the calories in 4  cheeseburger

=4 (calories in 1 cheeseburger )  = 4 x

and the calories in 5 small fries  = 5(calories in 1 small fries ) =5 y

⇒ 4 x + 5 y = 2310

Similarly, calories in 3 cheeseburger

= 3 ( calories in 1 cheeseburger )  = 3 x

and the calories in 2 small fries  = 2 (calories in 1 small fries )= 2 y

⇒ 3 x + 2 y = 1330

Solving the given system of equation:

4 x + 5 y = 2310     ............(1)

3 x + 2 y = 1330  ............. (2)

Multiply equation (1) with (-3) , and (2) by 4 and add both equation.

-12 x - 15 y + 12 x + 8 y = -6930 + 5320

or, - 7 y = -1610

⇒ y =  1610 / 7 = 230 , or y  =   230

Putting this in (2) , we get  3 x + 2 y = 1330

⇒ 3 x  + 2(230) = 1330  or,  3 x =  1330  - 460 = 870

or, x = 870/3  = 290

⇒ x = 290

Hence, there are  230 calories in each cheeseburger.

There are  290 calories in each small fries.

3 0
4 years ago
If pentagon OPQRS is dilated by a scale factor of seven over four from the origin to create O'P'Q'R'S', what is the ordered pair
GrogVix [38]

Answer:

The order pair of point Q' is (-21/4 , -7/2)

Step-by-step explanation:

* Lets explain the dilation

- A dilation is a transformation that changes the size of a figure.  

- The figure can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much the image will be larger

 or smaller  

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- The center of dilation is a fixed point in the plane about which all

 points are expanded or contracted

* Lets solve the problem

- The pentagon OPQRS is dilated by a scale factor 7/4

- The center of dilation is the origin

- The image of the pentagon after the dilation is O'P'Q'R'S'

∵ The coordinates of the vertices of the pentagon OPQRS are

  O (-1 , 2) , P (-5 , 3) , Q (-3 , -2) , R (2 , 1) , S (2 , 5)

- To find the image of each point after the dilation multiply each

  coordinates of the points by the scale factor of dilation

∵ The scale factor is 7/4

∵ The coordinates of point Q are (-3 , -2)

∴ The image of point Q after dilation is (-3 × 7/4 , -2 × 7/4)

∴ The image of point Q after dilation is (-21/4 , -7/2)

∵ Q' is the image of Q

∴ Q' = (-21/4 , -7/2)

* The order pair of point Q' is (-21/4 , -7/2)

5 0
4 years ago
Read 2 more answers
Teddy uses 2.5 gallons of ice to fill 4 buckets. He needs to 30 buckets.how many gallons of ice will teddy need
Ghella [55]

Answer:

18.75 gallons of ice

Step-by-step explanation:

I divided the 2.5 gallons of ice by the number of buckets (4) it filled to determine how many gallons of ice are in each bucket.

2.5 / 4 = 0.625

I then multiplied the amount of ice it takes to fill a bucket (0.625) by 30 buckets to get 18.75 gallons of ice.

8 0
4 years ago
Read 2 more answers
An edge of a flow network is called critical if decreasing the capacity of this edge results in a decrease in the maximum flow.
OLEGan [10]

Answer:

  1. Begin
  2. find the residual graph of the graph G(V,E) using ford Fulkerson
  3. For each edge u, v in the residual graph such that u, v is not in the residual graph and also not in G
  4. Apply DFS to see if u has no path to v
  5. then return edge (u,v)
  6. else
  7. nothing
  8. end

Step-by-step explanation:

3 0
4 years ago
I will give you thanks and :)<br> Please help
avanturin [10]

Answer:

Scale factor =  2, x = 3 cm

Step-by-step explanation:

The scale factor is 2 because you can see that in the second figure you multiply the sides from the first one by 2.

Using the scale factor 2, you can multiply 1.5 * 2 = 3 for x.

3 0
3 years ago
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