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DochEvi [55]
3 years ago
6

Five times the result of adding one to a certain number, is equal to four times the number, plus three. Find the number

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

The number is -2

Step-by-step explanation:

Let the number = x

Given that:

Five times the result of adding one to a certain number, is equal to four times the number, plus three.

The equation will be:

5(x+1) = 4x +3

Simplifying

5x + 5 = 4x +3

Taking terms with x on left side and others on right side

5x - 4x = 3 - 5   (sign of transferred terms will be changed)

x = -2

Proof :

Condition 1:

  • number = -2                                  
  • Add one = -2 +1 = -1
  • Multiply 5 = -5

Condition 2:

  • 4 times  of number = 4 (-2) = -8
  • Add 3 = -8 +3 = -5

Hence both conditions have same answer.

I hope it will help you!

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What to do if quadratic equation has a negative spuare root?
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Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept.
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I hope this helps!

4 0
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Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn
Scorpion4ik [409]
(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 *  <span> <span> <span> 0.0022560803 </span> </span> </span> <span><span> </span> </span>
Years = <span> <span> 0.3010299957 </span> </span> / <span> <span> <span> 0.0270729635 </span>
Years = </span></span><span><span><span>11.1192110871 </span> </span> </span>
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( <span>1.000625</span>)
Years = <span> <span> <span> 0.3010299957 </span> </span> </span> / 12 * <span> <span> <span> 0.0002713493 </span> </span> </span>
Years = <span><span><span> <span> 0.3010299957 </span> </span> / 0.0032561912 </span>
</span>Years = <span><span><span>92.4485010892
THAT seems a more likely answer with such a low interest rate.
</span> </span> </span>

5 0
2 years ago
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