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lana [24]
4 years ago
10

Help me solve, 4(x-2)+x=27

Mathematics
1 answer:
sp2606 [1]4 years ago
4 0
Answer: x = 7

4(x - 2) + x = 27                Distributive Property
4x - 8 + x = 27                 Combine like terms
5x - 8 = 27                       Add 8 to both sides
5x = 35                            Divide by 5 for both sides
x = 7                                 Answer!
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Step-by-step explanation:

Average rate of change is just using the slope formula: (y2-y1)/(x2-x1).

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Please help as soon as possible
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a that the right answer because 25+10+20=55 that rights

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What is the probability of drawing a red card, replacing it, and then drawing an odd card?
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2 years ago
Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
4 years ago
8.) It takes Fred 9 minutes to type and spell check 13 pages of a manuscript. Find how long it takes him to type and spell check
inysia [295]

It will take Fred 42 minutes to type and spell check 60 pages.

  • Let the first scenario be A.
  • Let the second scenario be B.
  • Let the unknown time be X.

Given the following data;

  • Time taken A = 9 minutes
  • Number of pages A = 13 pages
  • Number of pages B = 60 pages
  • Time taken B = X minutes

To find how long it takes him to type and spell check 60 pages;

We would use direct proportion to express the work described and solve for the unknown variable (time).

9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages

Cross-multiplying, we have;

9 × 60 = 13 × X

540 = 13X\\\\X = \frac{540}{13}

<em>X = 41.54 ≈ 42 minutes</em>

Therefore, it will take Fred 42 minutes to type and spell check 60 pages.

Find more information: brainly.com/question/89674

7 0
3 years ago
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