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Nadya [2.5K]
3 years ago
5

A local art studio offers a new session of drawing classes every 12 days. A competing art studio offers a new session of drawing

classes every 8 days. Today, both art studios have started a new session of drawing classes. In how many days will both art studio start a new drawing session on the same day? Show or explain how you know.
Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0
To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers. 
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:

Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...

Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.

We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
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Please help me find the nth term of this sequence 0, 3, 8, 15, 24
Setler [38]

Answer:

80

Step-by-step explanation:

0,   3,   8,   15,   24,  <u>35,</u>   <u>48,</u>   <u>63,</u>  <u>80</u> which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

                =from 3 to 8 the steps were 5

                = from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

7 0
3 years ago
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Solve 5x = 2 writing your answer as a fraction in its simplest form
sveticcg [70]

Answer:

x = 2/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

5x = 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide 5 on both sides:                    x = 2/5

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(2/5) = 2
  2. Multiply:                                2 = 2

Here we see that 2 does indeed equal 2.

∴ x = 2/5 is the solution to the equation.

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3 years ago
Farmland A farmer has a rectangular plot of land shaped like the figure in the
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4,800 that’s the answer for your equation

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2 years ago
The average of five numbers is 18. Let the first number be increased by 1, the second number by 2, the third number by 3, the fo
olchik [2.2K]
18+((1+2+3+4+5)/5)=21
4 0
3 years ago
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Please help with this question! 25 Points!
AlexFokin [52]

Answer:

Domain - (0,1,2,3,4) Range - (32,27,22,17,12)

Domain - (0,1,2,3,4) Range - (36,32,28,24,20)

Step-by-step explanation:

The # of knots is actually the X values which is also the definition of the word, "Domain" whilst the Length of the ropes is the y values, aka the range.

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