Internet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that
z − u = 3(x − y) + 12
x + y = 50 + z + u
and x − y + z − u = 48.
How large was the audience of each of the four companies at the end of that year? Microsoft

Time Warner

Yahoo

Google

Answer:

Microsoft = 89.5 million

Time Warner = 77.5 million

Yahoo = 82.5 million

Google = 34.5 million

Step-by-step explanation:

Given

z − u = 3(x − y) + 12

x + y = 50 + z + u

x − y + z − u = 48.

From the question, we also understand that

u + x + y + z = 284

Required

Solve for u, x, y and z

Substitute 3(x - y) +12 for z - u in the third equation

x − y + z − u = 48.

(x - y) + 3(x - y) = 48

4(x - y) = 48

Divide both sides by 4.

x - y = 12

Make z + u the subject of formula in u + x + y + z = 284

z + u = 284 - (x + y)

Substitute 284 - (x + y) for z + u in the second equation

x + y = 50 + z + u

x + y = 50 + 284 - (x + y)

(x + y) + (x + y) = 50 + 284

2(x + y) = 334

Divide both sides by 2

x + y = 167

Make x the subject of formula

x = 167 - y

Substitute 167 - y for x in x - y = 12

167 - y - y = 12

167 - 2y = 12

-2y = 12 - 167

-2y = -155

2y = 155

y = 77.5

Solve for x in x = 167 - y

x = 167 - 77.5

x = 89.5

Recall that:

z − u = 3(x − y) + 12

z + u = 284 - (x + y)

Substitute the values of x and y in the above expressions.

z − u = 3(x − y) + 12

z - u = 3(89.5 - 77.5) + 12

z - u = 3(12) + 12

z - u = 36 + 12

z - u = 48

Make z the subject

z = 48 + u

Similarly,

z + u = 284 - (x + y)

z + u = 284 - (89.5 + 77.5)

z + u = 284 - 167

z + u = 117

Substitute 48 + u for z

48 + u + u = 117

48 + 2u = 117

2u = 117 - 48

2u = 69

u = 34.5

Substitute 34.5 for u in z = 48 + u

z = 48 + 34.5

z = 82.5

The size of audience of each of the four companies at the end of that year are;

Micro-soft = 89.5 million

Time Warner = 79.5 million

Yah oo = 34.5 million

Goo gle = 82.5 million

We are given the equations;

z − u = 3(x − y) + 12 ----(1)

x + y = 50 + z + u   ----(2)

x − y + z − u = 48    ----(3)  

Now, we are told that the combined 4 audience is 284 million users. Thus;

u + x + y + z = 284    ----(4)  

Put 3(x − y) + 12 for z - u in the eq 3 to get;

(x - y) + 3(x - y) = 48

x - y + 3x - 3y

4x - 4y = 48

Divide both sides by 4 to get;

x - y = 12   ----(5)

Make z + u the subject of formula in eq 4 to get;

z + u = 284 - (x + y)  ---(4b)

Put 284 - (x + y) for z + u in the eq 2;

x + y = 50 + 284 - (x + y)

x + y = 334 - x - y

Add x + y to both sides to get;

x + y + x + y = 334

2x + 2y = 334

Divide both sides by 2 to get;

x + y = 167 -----(6)

Add eq 5 to eq 6 to get;

2x = 167 + 12

2x = 179

x = 179/2

x = 89.5

Put 89.5 for x in eq 6 to get;

89.5 + y = 167

y = 167 - 89.5

y = 77.5

Put the values of x and y in eq(1) and eq(4b) to get;

z - u = 3(89.5 - 77.5) + 12

 z - u = 48  ---(7)

Also,

z + u = 284 - (89.5 + 77.5)

z + u = 117   ---(8)

Add eq 7 to eq 8 to get;

2z = 165

z = 165/2

z = 82.5

Put 82.5 for z in eq 8 to get;

82.5 + u = 117

u = 117 - 82.5

u = 34.5

Read more at; https://brainly.com/question/14526969

Which statement is true about the value of the expression below? (-2^3)^-2


. It is between -1 and 0

.it is less than -1

.it is between 0 and 1

. It is greater than 1

Hey! Hope your having a amazing day! Can you please help me and answer this questions? I need this fast! Thanks! ;( (Integers!)

Harvey worked 36 hours this week. He earns $28.46 an hour. How much did he earn this week

the other one is 27​

12. Dominic drives a taxi. He charges a $2 flat fee plus $1.50 per mile.
The table represents f(x), a function that can be used to predict the
total cost of any trip in Dominic's taxi.

Triple the sum of x and five amounts to the product of two and x.

Hii Please help this is so hard

Pls help me with this

five ninths and four sixths

Write the phrase 'The quotient of 8 and a number p" as an expression

213.9 divided by 9.3

Arrivals at a parking lot are assumed to follow the Poisson distribution. The average arrival rate is 2.8 per minute. What is the probability that during a given minute no cars will arrive

The football team at a high school wants to conduct a survey of student opinion. The coaches want to begin with a simple random sample of 200 students. Which of the following survey methods will produce a simple random sample?

Survey the first 200 students to arrive at school in the morning

Survey every 20th student entering the school gym until 200 students are surveyed

Number the students on the school roster. Use a table of random numbers to choose 200 students from this roster for the survey.

Use random numbers to choose 50 each of freshmen, sophomores, juniors, and seniors

Number the gym seats. Use a table of random numbers to choose seats and interview the students until 200 have been interviewed.

Rewrite the following in logarithmic form:

e^x=16

Consider the following information about travelers (based partly on a recent Travelocity poll): 40% check work e-mail, 30% use a cell phone to stay connected to work, 25% bring a laptop with them, 23% both check work e-mail and use a cell phone to stay connected, and 51% neither check work e-mail nor use a cell phone to stay connected nor bring a laptop. Finally, 88 out of every 100 who bring a laptop check work e-mail, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
(a) What is the probability that a randomly selected traveler who checks work e-mail also uses a cell phone to stay connected?
(b) What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
(c) If a randomly selected traveler checked work e-mail and brought a laptop, what is the probability that s/he uses a cell phone to stay connected?

You have been saving $4.50 per week for the last several weeks. Today you decide to spend $21 which is 1/6 of your savings. How much money did you have saved?How many weeks have you been saving for?

Solve for y: 3x < 2y - 6

What is the reciprocal of
2/7?

We can and should control our thoughts. True False

what is a positive - negative

fran drank 19/20 liter of juice how many quarts of juice did she drink (1 L =1.06qt). set up a proportion and solve using means of extremes

What’s 890,000,090 in scientific notation

Point R(x, 4) and point T (5, 13) are points that lie on a line that had a slope of 3/2. What is the value of x?

n-40
----------
4
what is n-40 divided by four

how was y'alls day? :)

What is an odd number minus an odd number

Solve for x: -3|2x + 61 = -12​

A storm door is made using two sheets of aluminum with a layer of
insulation between them. Each sheet of aluminum is 1/16 in. thick. The
insulation layer is 3/4 in. thick. How thick is the door?

Select ALL of the perfect squares
6
100
25
5

What is x divided by 3?