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12345 [234]
3 years ago
6

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

f 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: (2 points)
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:
wlad13 [49]3 years ago
4 0

Answer:

22

Step-by-step explanation:

Solve the inequality  (20 + 0.5x) + 0.15(20 + 0.5x)   ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x:  39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

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Name the property or definition illustrated below
dimulka [17.4K]

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

6 0
3 years ago
34.7985347985 rounded to the nearest tenth
Nina [5.8K]
The answer would be 34.8 I’m pretty sure
7 0
2 years ago
Read 2 more answers
Do the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table.
astraxan [27]
The answer is C. xy=40
6 0
3 years ago
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Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y) → (0, 0) x4 − 34y2 x2 + 17y2
HACTEHA [7]

Answer:

<h2>DNE</h2>

Step-by-step explanation:

Given the limit of the function \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}, to find the limit, the following steps must be taken.

Step 1: Substitute the limit at x = 0 and y = 0 into the function

= \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}\\=  \frac{0^4-34(0)^2}{0^2+17(0)^2}\\= \frac{0}{0} (indeterminate)

Step 2: Substitute y = mx int o the function and simplify

= \lim_{(x,mx) \to (0,0)} \frac{x^4-34(mx)^2}{x^2+17(mx)^2}\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^4-34m^2x^2}{x^2+17m^2x^2}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2(x^2-34m^2)}{x^2(1+17m^2)}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2-34m^2}{1+17m^2}\\

= \frac{0^2-34m^2}{1+17m^2}\\\\=  \frac{34m^2}{1+17m^2}\\\\

<em>Since there are still variable 'm' in the resulting function, this shows that the limit of the function does not exist, Hence, the function DNE</em>

4 0
3 years ago
What is the circumference of a circle with a diameter of 72 feet? Leave your answer in
Anettt [7]

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

4 0
2 years ago
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