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NARA [144]
3 years ago
13

Tim can type 30 words in 3/4 of a min. Justin can type 32 words in 4/5 of a min. How many words can Tim and Justin type Altogeth

er in 5 mins
Mathematics
1 answer:
galben [10]3 years ago
4 0
Lets break this down. One minute is 60 seconds, so to find out what 3/4ths of a minute is we would divide 60 by 4 and that would give us 15; but thats only 1/4th of a minute. So to get 3/4ths we take the 15 and multiply that by 3 and we get 45. So if Tim can write 30 words in 45 seconds then he is writing about 0.6 words a second. We repeat that process for Justins words per second and we get 0.6 once again. we then add 0.6 and 0.6 together to get they're combined words per second and we come up with 1.3. Stay with me were almost done! Now we know that together Justin and Tim write 1.3 words a second so if we multiply 1.3 by 60 we now know that combined they write 78 words a minute now we multiply that by 5 and we see that altogether in 5 minutes they write about 390 words.
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Step-by-step explanation:

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= (x+4)(x-6) = 0²

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(x+4) = 0 and (x-6) = 0

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x - 1 = 7x - 16

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

  1. Subtract 4x on both sides:                    -1 = 3x - 16
  2. Add 16 to both sides:                             15 = 3x
  3. Divide 3 on both sides:                          5 = x
  4. Rewrite:                                                   x = 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>:                    4(5) - 1 = 7(5) - 16
  2. Multiply:                               20 - 1 = 35 - 16
  3. Subtract:                              19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

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