12.07.2022

1. An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many half-page advertisements does Michael purchase?
Show your work.
(c) How many full-page advertisements does Michael purchase?
Show your work.

. 1

Step-by-step answer

09.12.2022, solved by verified expert
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Answer:

a) 40X + 75Y = 800 ........(1)

and, X + Y = 13 .........(2)
b) half-page advertisements = X = 5



c) full-page advertisements = Y = 8

Step-by-step explanation:

let the number of half-page adevertisement be  X and the number of full-page advertisement be Y 

As per the given problem 

40X + 75Y = 800   ........(1)

and, X + Y = 13     .........(2)

Solving (1) and (2) 

40(13-Y) + 75Y = 800

520 - 40Y + 75Y = 800

35Y = 280

Y = 280/35 = 8

and X = 13 -Y =13-8 =

a) 40X + 75Y = 800   ........(1)

and, X + Y = 13     .........(2)

b) half-page advertisements  = X = 5

c) full-page advertisements = Y = 8

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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