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7nadin3 [17]
3 years ago
9

let x represent the number of hours you read a book and y represent the total number of pages you have to read you already read

70 pages and can read 30 pages per hour . write an equarion relating x hours and y pages you read then predict the total nuber of pages you will have read after another 3 hours
Mathematics
1 answer:
MrRa [10]3 years ago
3 0
Given:
x = number of hours
y = total number of pages
70 = number of pages already read
30 =number of pages read per hour

y = 30x

70 = 30x
70/30 = 30x/30
2 1/3 = x

You read 70 pages within 2 hours and 20 minutes.

y = 30x
y = 30(3)
y = 90

An additional 90 pages have been read after another 3 hours.

Total pages read.

y = 30(2 1/3) = 70 pages
y = 30(3)       =<u> 90 pages</u>
                         160 pages within 5 hours and 20 minutes.

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A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke
valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

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Step-by-step explanation:

I hope this helps.

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In both cases you may well benefit from graphing the functions.

Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).


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A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, -6)(5,−6). What is the v
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Step-by-step explanation:

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Step-by-step explanation:

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