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Debora [2.8K]
3 years ago
7

Apply the dristrbutie property to factor out the greatest common factor of 22c+33d

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

11 (2c + 3d)

Step-by-step explanation:

Find the GCF (Greatest Common Factor)

Answer: 11

And then use 11 to factor out 22c + 33d
12345 [234]3 years ago
5 0

Answer:

11(2c+3d)

Step-by-step explanation:

22c + 33d

Rewriting

2*11*c + 3*11*d

Factor out 11

11(2c+3d)

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John was driving 58 miles per hour. if he was to drive the same speed for 7 hours how many miles would he drive.
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Answer: <em>58x7=</em>406 miles<em> i think:)</em>

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What does x equal<br>5x+2y=3<br>1x+2y=6
Vedmedyk [2.9K]
\underline{-\left\{\begin{array}{ccc}5x+2y=3\\x+2y=6\end{array}\right }\ \ \ \ |subtract\ both\ sides\\\\4x=-3\ \ \ |:4\\\\x=-\dfrac{3}{4}\to x=-0.75
4 0
3 years ago
An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i
natita [175]

Answer:

  • $70,000 at 7%
  • $304,000 at 8%

Step-by-step explanation:

<u>Given</u>:

  Total interest earned on two investments is $29,220.

  An amount is invested at 7%.

  $24,000 more than 4 times that amount is invested at 8%.

<u>Find</u>:

  The amount invested at each rate.

<u>Solution</u>:

  Our strategy will be to define a variable representing the amount invested at 7%, use that variable to write an expression for the amount invested at 8%, then write an equation for the total return on the investments.

Let x represent the amount invested at 7%. Then (24,000+4x) will be the amount invested at 8%. The total interest earned will be ...

  interest on 7% account + interest on 8% account = total interest

  0.07x + 0.08(24000+4x) = 29220

  0.39x + 1920 = 29220 . . . . . . . . . . . simplify

  0.39x = 27300 . . . . . . . . . . . . . . . . . .subtract 1920

  x = 27300/0.39 = 70000 . . . . . . . . . divide by the coefficient of x

  24,000 +4x = 24,000 +280,000 = 304,000 . . . . amount invested at 8%

He invested $70,000 at 7% and $304,000 at 8%.

<u><em>Check</em></u>

The answer must satisfy ...

  7% interest + 8% interest = 29,220

  0.07×70,000 +0.08×304,000 = 4,900 +24,320 = 29,220 . . . . as required

_____

<em>Comment on 6-step method</em>

We have tried to hit the highlights. Your steps appear to be ...

  1. Identify the given information (Given)
  2. Identify the question you are asked to answer (Find)
  3. Identify the useless information in the problem statement (is none)
  4. Decide on a strategy. Make a model or drawing. (model equation shown)
  5. Solve and show work (Solution)
  6. Explain why the answer makes sense (Check)
6 0
3 years ago
20 ounces to 25 ounces find the percent of change
Gemiola [76]
20% 25-20 equals 5. 5 divided by 20 equals .2 or 20%
7 0
3 years ago
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$1689 invested for 4 years at 3% compounded annually ?
Ira Lisetskai [31]

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

A=P(1+\frac{r}{n} )^{nt}

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: brainly.com/question/14295570

5 0
2 years ago
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