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2 years ago

Five times a number is the same as 30 more than 8 times the number.find the number

Mathematics

1 answer:

Goshia [24]2 years ago

6 0

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

equation formed :-

" 5n = 8n + 30 "

hope it is helpful ✌️!

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3 years ago

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I have 5 hungry brothers eating 192 pieces of candy every minute, how many pieces of candy will they have eaten in an hour?

Irina18 [472]

Answer:

11,520

Step-by-step explanation:

192×60

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2 years ago

In this example we modeled the world population from 1900 to 2010 with the exponential function P(t) = (1436.53) · (1.01395)t wh

Sergio [31]

Answer:

a) Rate of increase = 26.66 millions per year

b) Rate of increase = 42.64 millions per year

c) Rate of increase = 79.53 millions per year

Step-by-step explanation:

We are given that population is modeled with the exponential function:

$P(t) = (1436.53).(1.01395)^t$

where t = 0 corresponds to the year 1900 and P(t) is measured in millions.

Rate of increase of world population =

$\displaystyle\frac{d(a^x)}{dx} = a^xln(a)\\\\P'(t) = (1436.53)(1.01395)^tln(1.01395)\\\\P'(t) = (1436.53)ln(1.01395)(1.01395)^t$

a) 1920

$P'(1920-1900) = (1436.53)(ln(1.01395))(1.01395)^{(1920-1900)}\\P'(20) = (1436.53)(ln(1.01395))(1.01395)^{(20)}\\P'(20) \approx 26.66$

Rate of increase = 26.66 millions per year

b) 1955

$P'(1955-1900)=(1436.53)(ln(1.01395))(1.01395)^{(1955-1900)}\\P'(55) = (1436.53)(ln(1.01395))(1.01395)^{(55)}\\P'(55) \approx 42.64$

Rate of increase = 42.64 millions per year

c) 2000

$P'(2000-1900) = (1436.53)(ln(1.01395))(1.01395)^{(2000-1900)}\\P'(100) = (1436.53)(ln(1.01395))(1.01395)^{(100)}\\P'(100) \approx 79.53$

Rate of increase = 79.53 millions per year

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3 years ago

7.1 as a percentage

kifflom [539]

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

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2 years ago

Find the equation of the tangent line of y = 3x2 at x =2.

Fantom [35]

Answer:

Step-by-step explanation:

I will ASSUME you mean y = 3x² at x = 2

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y' = 6x

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so (2, 12) is a point on the line (the point of tangency)

plugging into our slope equation

y = 12x + b

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b = -12

So the equation of the line tangent to y = 3x² at x = 2 is

y = 12x - 12

3 0

2 years ago