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
Sav [38]
3 years ago
11

An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $13

40 to purchase 15 advertisements. Define a variable for each unknown. Write a system of equations to represent the situation. How many half-page advertisements does Michael purchase? Show your work. How many full-page advertisements does Michael purchase? Show your work.4
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

The number of half-page advertisements is 4.

The number of Full-page advertisements is 11.

Step-by-step explanation:

According to the Question,

  • Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.

Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.

  • Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.

       60x + 100y = 1340

  • And, the number of advertisements is 15. So, the other equation is

       x + y = 15

Now, We have Two Equations,

60x + 100y = 1340 and x + y = 15

  • the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340

60 (15-y) + 100y = 1340

900 - 60y + 100y = 1340

40y = 1340 - 900

40y = 440

y = 440/40

y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .

  • Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .
You might be interested in
Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)​
denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ \frac{2[g(x)]}{2} = \frac{10x}{2} + \frac{4}{2}

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0
3 years ago
Can someone plz help me ty
Ostrovityanka [42]

Answer:

8/15

Step-by-step explanation:

you first want to change your whole number, 4, into a fraction so all you have to do is add a 1 in the denominator so it will be 4/1

then you multiply across

2/15 * 4/1

you first multiply 2 and 4 and your answer will be 8 which is the numerator

then multiply 15 and 1 which is 15, the denominator

then you get

8/15

5 0
3 years ago
Pls help me with this equation
Zanzabum

Answer:

x = 20 degree

Step-by-step explanation:

Hope this helps u !!

4 0
3 years ago
The formula for the volume of a right triangular pyramid is V = 1/6 bhx, where b is the base of the triangle, h is the height of
charle [14.2K]
Answer: x = 6V/bh

Explanation:

V = 1/6 bhx
V = (bh/6)x
V • 6/bh = x
6V/bh = x
6 0
3 years ago
What is the opposite of - 1/4 ?
DENIUS [597]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Piper and Skylar go to the movie theater and purchase refreshments for their friends. Piper spends a total of $55.50 on 6 bags o
    12·1 answer
  • An apartment rents for $800 a month the monthly rent is expected to increase $15 each year what will the rent at the end of the
    8·1 answer
  • If<br> A = 6<br> B = 14 <br> D = 110 <br><br> Then what is C?
    7·2 answers
  • 1) Write a word problem using the information from the given equation and inequality. Be sure to include all seven parts and an
    12·2 answers
  • A credit card issuer offers an APR of 22.08% and compounds interest daily. Which is it most likely to advertise, its APR or its
    13·1 answer
  • Find the area of triangle ABC and the area of XYZ. AABC - AXYZ.
    14·1 answer
  • Where did the student go wrong and what are the correct steps
    8·1 answer
  • I'm sry pls help! im bad at math:(((​
    7·1 answer
  • Is 1/7 greater than -5​
    5·2 answers
  • There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!