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4 years ago

10

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

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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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

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

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

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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

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3 years ago