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MissTica
3 years ago
12

What is the HCF of 270 and 900

Mathematics
2 answers:
Finger [1]3 years ago
8 0

Answer:

Its 90

Step-by-step explanation:

ratelena [41]3 years ago
5 0

Answer:

90

Step-by-step explanation:

Find the prime factorization of 270

270 = 2 × 3 × 3 × 3 × 5

Find the prime factorization of 900

900 = 2 × 2 × 3 × 3 × 5 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 3 × 5

GCF = 90

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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

#SPJ1

8 0
2 years ago
When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr
Andrews [41]

Answer:

  (a)  13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

  ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

  ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

  drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0
3 years ago
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a
rosijanka [135]

Answer:

Step-by-step explanation:

It's 21 lol

4 0
3 years ago
Need the complete Answer of this problemssssss.
Mariana [72]
50 \times 0.90 = 45
Multiply 50 by 0.90 because you take a discount of 10% off. 1.00 = 100% 0.10 = 10% 0.01 = 1% if you multiply 50 by 0.10 instead you get the amount that is discounted instead of the new selling price.
5 0
3 years ago
A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Group of answer
Alexandra [31]
Your answer is 250,000. There are two ways to do this problem.

1) Solve 500/4 to find out how many sheets of paper you get per every dollar. — Your answer is 125 sheets for $1. Then you multiply that answer by 2000, and get 250,000. Which means you get 250,000 sheets of paper for $2000.

2) You can divide 2000 by 4 & that gets you 500, you can then multiply that by 500 & you will get 250,000.

Hope this helps.
5 0
3 years ago
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