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elena55 [62]
3 years ago
9

Suppose you bought D DVD's and B Books. If each DVD cost $14.95 and each book you bought off the 'specials' table cost $6.95, wr

ite an expression that tells how much you spent. algebraic expressions
Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

14.95D + 6.95B

Step-by-step explanation:

Well a simple expression would make D the amount of DVD's you bought and B the amount of Books purchased.

In simple cases the prices don't change depending on that amount so you can multiply them by making it 14.95D and 6.95B.

Making the expression 14.95D + 6.95B.

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It's 22.5 inches because the breadth is grater than the length

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10, 9, 11, 8, 15, 18, 13<br> 1. Calculate the mean, median, and mode. Round to the nearest tenth.
adell [148]

Answer:

Median: 11

Mean: 12

Mode: none

Step-by-step explanation:

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Mode is something that is repeated multiple times

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3 years ago
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The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

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3 years ago
Are any of you guys willing to help me with math if so email me at <br> and ASAP
dangina [55]

Answer:

yess I can help u!!...what's ur email

4 0
3 years ago
When 47 is added to a number the result is 37 less than 7 times the number.
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X - the number



The number is <span>14.</span>
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3 years ago
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