What does the gcf repersent in this situation

In a survey of 90 students 20 choose rock.40 chose hip hop 30 chose country. In a school of 360 students how many would be expec

lina2011 [118]

Answer:

The students would be expected to choose rock be 80 or students choose hip hop be 160 or choose to country be 120.

Step-by-step explanation:

Given:

In a survey of 90 students 20 choose rock, 40 choose hip hop and 30 choose country.

Now, to find the students expected to choose hip hop or rock or country in a school of 360 students.

Let the number of students expected to choose rock be $x.$

Let the number of students expected to choose hip hop be $y.$

Let the number of students expected to choose country be $z.$

Total number of students = 360.

Now, to get the number of students choosing hip hop or rock or country by using cross multiplication method:

In a survey of 90 students 20 choose rock.

So, 90 is equivalent to 20.

Thus, 360 is equivalent to $x$ .

$\frac{90}{20} =\frac{360}{x} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=7200\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=80.$

Thus, the number of students expected to choose rock is 80.

Now,

In a survey of 90 students 40 choose hip hop.

So, 90 is equivalent to 40.

Thus, 360 is equivalent to $y.$

$\frac{90}{40} =\frac{360}{y} \\\\By\ cross\ multiplying\ we\ get:\\\\90y=14400\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\y=160.$

Therefore, 160 students expected to choose hip hop.

And,

In a survey of 90 students 30 choose country.

So, 90 is equivalent to 30.

Thus, 360 is equivalent to $y.$

$\frac{90}{30} =\frac{360}{z} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=10800\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=120.$

Hence, 120 students expected to choose country.

Therefore, the students would be expected to choose rock be 80 or students choose hip hop be 160 or choose to country be 120.

5 0

4 years ago

Solve the inequality graph the solution set and write it in interval notation x-6<5(x+2)

ANEK [815]

Answer:

x>-4

Step-by-step explanation:

x-6>5x+10

x-5x>10+6

-4x<16

x<16/-4

x<-4

3 0

4 years ago

What is a system of equation?

Vikentia [17]

SYSTEMS OF EQUATIONS. A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

7 0

3 years ago

Read 2 more answers

Apply

Aliun [14]

Answer:

this is your answer. if I am right so

please mark me as a brainliest. thanks!!

3 0

3 years ago

I need help answering this question.

slavikrds [6]

Answer:

hello dude

x - 9 = - 12

x = 9 -12

x = -3

HAVE A NİCE NİGHT

Step-by-step explanation:

Greetings from Turkey

4 0

3 years ago

Read 2 more answers