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victus00 [196]
3 years ago
7

As the number of pages in a photo book increases, the prices of the book also increases. There is an additional shipping charge

a 15%. The price of a book can be modeled by the equation below, where P= the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x= the number of pages:
P=(20+0.5x) + 0.15(20+0.5x)
Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book
Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
Equate P as 62.10 since we are looking for the MAX value for x (then a legitimate one if necessary)

(20 + 0.5x) + (3 + 0.075x) = 62.1
= 0.575x + 23 = 62.1
x = (62.1-23)/0.575
x = 680
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A bakery sells cakes for $23 and a dozen cupcakes for
lys-0071 [83]

Answer:

23x + 18y = 1446

x + y = 72

Step-by-step explanation:

The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).

Thus, 23x +18y = $1446.

The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).

Thus, x + y = 72.

8 0
4 years ago
Solve using elimination: x = y and 3x + 7y = 10
RUDIKE [14]
3(1) + 7(1) =10
x=1
y=1
5 0
3 years ago
If the slope of the line is 3, indicate whether the line through the point rises, falls, horizontal, or vertical
RSB [31]

Answer:

the line rises from left to right

Step-by-step explanation:

the slope is a positive number, therefore it will be rising, not dropping/falling, or going down.

5 0
3 years ago
Part A: Explain why x = 5 makes 4x - 1 5 19 true but not 4x - 1 < 19.
Westkost [7]

9514 1404 393

Answer:

  • 19 ≤ 19 . . . true
  • 19 < 19 . . . false
  • x = 9

Step-by-step explanation:

A) A number cannot be less than itself, but can be equal to itself.

In each case, the left side of the inequality evaluates to 19:

  4(5) -1 = 20 -1 = 19

It is true that 19 is less than or equal to 19. This is true because 19 = 19.

It is not true that 19 is less than 19. A number cannot be less than itself.

__

B) 5x +2 = 47

  5x = 45 . . . . . . subtract 2 from both sides

  x = 9 . . . . . . . . . divide both sides by 5

The element 9 from the set is the solution to the equation.

6 0
3 years ago
Find equation of a line through 5 -3 that is parallel to y=1/2x+3
xxTIMURxx [149]

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line  is:   y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2  = -1

⇒ m 1 x ( 1/2)  = -1

⇒ m 1  = - 2

Also, the point son the line 1 is given as: (x,y)  = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) +  C

or, C = -3 + 10 = 7

⇒ C = 7

The general line equation is given as:  y = m x + C

Substituting  the values of C and m, we get:

y = - 2 x  + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

8 0
3 years ago
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