MATHEMATICS HIGH SCHOOL

Of the 600 people at a music festival, 420 had attended the previous year. How many people out of 100 had attended the previous year?A: 60
B: 42
C: 70
D: 80

I think it is 60

Answers

Answer 1
Answer:

There are 70 people out of 100 who had attended the previous year.

Given

Total number of people at a music festival = 600

The number of people attending the festival = 420

What is the ratio?

The quantitative relation between two amounts shows the number of times onevalue contains or is contained within the other:

Let, The number of people out of 100 who had attended the previous year be x.

Then,

The number of people out of 100 who had attended the previous year is;

\rm (Number \ of \ people \ at \ festival)/(Number \ of \ people \ attend \ festival)= ( People\ out \of\ 100 \ had\ attended \ festival)/(x)\n\n(600)/(420)}=(100)/(x)\n\nx * 600 = 420 * 100\n\n600x = 42000\n\nx = (42000)/(600)\n\nx = 70

Hence, there are 70 people out of 100 had attended the previous year.

To know more about Ratio click the link given below.

brainly.com/question/10270436
Answer 2
Answer: 100 * 420 / 600 = 70

answer: 70 people out of 100 had attended the previous year

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A system of equations is shown below: 5x + 2y = 3 (equation 1) 2x − 3y = 1 (equation 2) A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

Answers

The new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

What is the Solution to a System of Equations

The solution is simply the value of x and y that makes both equations true in the system.

Given:

5x + 2y = 3 --> eqn. 1

2x - 3y = 1 --> eqn. 2

Replacing equation 1 with the sum of eqn. 1 and a multiple of eqn. 2, we would have:

7x - y = 4

Therefore, the new system of equations the student can use for the proof is:

7x - y = 4

2x - 3y = 1

Learn more about the system of equations on:

brainly.com/question/13729904

Answer:

Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

Given System of equations is 5x + 2y = 3 (equation 1) and 2x - 3y = 1 (equation 2)

Second System of equations is 2x - 3y = 1 and 7x - y = 4

How we got  7x - y = 4

Step 1: Multiply 2x - 3y = 1 by 1, we get the same 2x - 3y = 1

Step 2: Add 5x + 2y = 3 with 2x - 3y = 1

5x + 2x + 2y - 3y = 1

7x - 3y = 1

We have got second equation 7x - 3y = 1

Thus, Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

PLEASE ANSWER ASAP! BRAINLIEST AND 55 POINTS WILL BE GIVEN OUT!!A wire is attached to the top of a 15-foot flagpole. The other end of the wire is attached to a point on the ground that is 18 feet from the bottom of a flagpole.
How long is the wire?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.

Answers

23.4 feet is the answer.
23.4 is the answer. I just took the test.

How would you solve the following geometry problem?:∆PQR, find the measure of ∡P.

In Triangle PQR where angle Q is a right angle. QR measures 33 point 8; PQ measures 57 point 6; measure of angle P is unknown.

Answers:
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35.9°

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What I did:
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But I know that isn't correct.

Answers

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In the parking lot at Central, there are 21 blue cars and 75 cars total. What is the ratio of blue cars to cars that are not blue in simplest form?

Answers

Answer: The ratio of blue cars to cars that are not blue in simplest form = 7:18

Step-by-step explanation:

Given: There are 21 blue cars and 75 cars total.

Then, number of cars that are not blue = 75 -21 = 54

Now, the ratio of blue cars to cars that are not blue = (21)/(54)=(7)/(18) [Divide numerator and denominator by 3.]

Hence, the ratio of blue cars to cars that are not blue in simplest form = 7:18

Which equation describes the line that contains (1,5) and has a slope of 2

Answers

The equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

The equation of a line in point slope form is expressed as;

  • y-y0 = m(x - x0)

  • m is the slope of the line
  • (x0, y0) is the point on the line

Given the following parameters;

Slope  = 2

Point on the line is (1, 5)

Substitute the given parameters into the formula to have:

y - 5 = 3(x-1)

y - 5 = 3x - 3

y = 3x + 2

Hence the equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

Learn more on equation of a line here: brainly.com/question/18831322
in order to write an equation you need to find the y-intercept. the way you do this is by plugging in the value 2 and the point into y=mx+b and solving for b. once you plug everything in you get 5=2(1)+b. solving from here you get b=3. putting everything together you get y=2x+3

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120
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