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2 years ago

10

Genevieve is buying a car audio system that consists of a stereo, speakers, and amplifiers. She is choosing between 5 types of s

tereos and 2 types of amplifiers. If she has a total of 30 choices, how many types of speakers must there be?
3
6
10
20

2 answers:

Gnesinka [82]2 years ago

8 0

3 because 2 times 5=10 and 30 divided by 10=3

Nastasia [14]2 years ago

8 0

Answer:

3

Step-by-step explanation:

(A)

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Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

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Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

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7/12 for pink roses (:

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dolphi86 [110]

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strojnjashka [21]

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