1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
What is the numerator of the simplified sum?
sashaice [31]

Answer:

4x + 6

Step-by-step explanation:

\frac{x}{x² + 3x + 2} + \frac{3}{x + 1}

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

\frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1}

\frac{x + 3(x + 2)}{(x + 1)(x + 2)}

\frac{x + 3x + 6)}{(x + 1)(x + 2)}

\frac{4x + 6)}{(x + 1)(x + 2)}

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

8 0
3 years ago
Evaluate the expression for x=5, y=-3 and z=7<br> 7 - 3y – 3z
andrew11 [14]

Answer:

Step-by-step explanation:

7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5

7 0
2 years ago
Read 2 more answers
Help me with this math question
sammy [17]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Whoever checks my work and tell what I did wrong and the right answer will
gulaghasi [49]

Answer:

See below

Step-by-step explanation:

I believe that you only had to do letters F, H, and J. In that case, let's go over each one!

F: For isolatingd_{1}, we need to get rid of the 1/2 first. Let's multiply each side by 2:

2*m = 2*\frac{1}{2}(d_{1}+  d_{2}) \\2m = d_{1}+  d_{2}

After this, we just subtract d_{2} from each side to get d_{1}=2m- d_{2}. Dark Blue is correct! Let's now plug in those numbers below:

d_{1}=2(10)- 13 = 20-13=7

G: Let's isolate the vw^2 on one side by subtracting y from each side:

vw^{2} +y-y=x-y\\vw^{2}=x-y

Let's now divide each side by v, then put each side under a square root to get our final answer:

\frac{vw^2}{v} = \frac{x-y}{v}\\  w^2 =  \frac{x-y}{v}\\\sqrt{w^2} = \sqrt{\frac{x-y}{v}} \\w=\sqrt{\frac{x-y}{v}}

Orange is correct! Again, let's solve the problem underneath:

w=w=\sqrt{\frac{38-(-7)}{5}} = \sqrt{\frac{38+7}{5}} = \sqrt{\frac{45}{5}}=\sqrt{9}=3

H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.

2a-2a+3c=17a-2a+21\\3c = 15a+21\\\frac{3c}{3} = \frac{15a+21}{3}\\c = \frac{15a}{3}+ \frac{21}{3} \\c = 5a+7

Purple is correct! Let's solve the problem:

c = 5(\frac{16}{5})+7 = 16+7 = 23

7 0
2 years ago
today, price of a new cell phone is $129. in 2000, the price of a similar cell phone was $240. what is the percent of change in
Ludmilka [50]
To figure this out, you put how much money you changed from then to now as your numerator. So you would have -111 over your original price, which is 240. now, all you have to do is do negative 111÷240 which should be 0.4625. then, to find your percent, all you have to do is move your decimal over to places to the right. 46% decrease!
5 0
2 years ago
Other questions:
  • PLZ HELP ASAP (Algebra)
    5·1 answer
  • A quadrilateral with two pairs of parallel sides and no right angles
    9·1 answer
  • Solve the system using either the substitution or the elimination method <br> X^2-y=-2<br> -x+y=4
    14·2 answers
  • Mia spent 30 minutes answering the math questions on the exam. This was 3/5 of the total amount of time allotted for this sectio
    14·2 answers
  • [GEOMETRY] Suppose A and B are independent events.  what is P(A U B) ?
    13·1 answer
  • ALGEBRA ONE HELP!<br> Giving brainliest!!
    7·1 answer
  • Classify the polynomial: -x^4-3x+1<br><br> Quick question.
    9·1 answer
  • What is the difference between volume and area? (this isnt for a test, im just wondering lol)
    7·1 answer
  • Help me here pls<br> (solve on your own, a,b, and c)<br> (more practice, a and b)
    8·1 answer
  • Tracy can jump rope 26 times in<br> 1 minute. How many times can<br> she jump rope in 90 seconds?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!