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gavmur [86]
3 years ago
6

Can someone help me how to write the equations of this three problems?

Mathematics
2 answers:
drek231 [11]3 years ago
3 0

Number 11:

(356-50) ÷ 17 = x

mash [69]3 years ago
3 0

11.    50 +17x = 356    where x = number of months

17x = 306

x =306 / 17  = 18 months answer


12.   3x + 21 = 60

3x = 39   x = $13 answer


13.    15(x - 20) =  375

15x  - 300 = 375

15x = 675

x = $45  answer

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Answer:

40.

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<em>I hope this helped at all.</em>

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3 years ago
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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
The perimeter of a rectangle is 8x-6 units. of the width is x-4 units , what is the length, in units, of the rectangle
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C

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

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The intersecting secant theorem states the relationship between the two intersecting secants of the same circle. The given problems can be solved using the intersecting secant theorem.

<h3>What is Intersecting Secant Theorem?</h3>

When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment other secant and its length.

a(a+b)=c(c+d)

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6(x+6) = 5(5+x+3)

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8x + 16 = 25 + 5x

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brainly.com/question/10128640

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