The ratio of the number of people at a dinner to the number invited was 106 to 100. Express this as a percent

The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse

Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: Number of children in the park.

Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

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8 0

1 year ago

What single decimal multiplier would you use to increase by 18% followed by a 12% decrease?

ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

NEXT WE HAVE TO DECREASE 1.18x by 12%

Apply the same method but with a number 1.18x

Write the percentage '12%' in decimal form

12% = 0.12

For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.

7 0

2 years ago

Find the value of x to the nearest tenth

Salsk061 [2.6K]

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

5 0

2 years ago

Read 2 more answers

S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method

Firdavs [7]

Step-by-step explanation:

Hi,

Let's describe it in listing method;

S= {8,16,24}.

Hope you got it...

3 0

2 years ago

Help me please I don’t know how to

Irina-Kira [14]

Answer:

A: 22

Step-by-step explanation:

2The interquartile range begins at 45 and ends at 67. All you need to do is subtract 45 drom 67, and you get 22.

4 0

2 years ago