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3 years ago

1/2(4n-8)+10=4(n+5)

Mathematics

2 answers:

azamat3 years ago

8 0

Answer:multiply both numbers in the parenthesis by the number outside:

2n+4 +10=4n+20

add all like terms

2n+14=4n+20

subtract both sides by 14 and 4

2n-4n = 20 - 14

add or subtract like terms

-2n = 6

divide both sides by -2

n = -3

Step-by-step explanation:

madreJ [45]3 years ago

3 0

Answer:

n= -7

Step-by-step explanation:

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Substitution for -3x+y=-9

shtirl [24]

Answer:

y=3x-9

Step-by-step explanation:

4 0

2 years ago

Negate the conditional statement.<br><br> c⇒(a∧∼b)

gulaghasi [49]

The negate of this conditional statement as : a∨(∼b).

<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the the following conditional statement -

c ⇒ (a∧∼b)

We can write the negate of this conditional statement as -

a∨(∼b)

Therefore, the negate of this conditional statement as : a∨(∼b).

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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7 0

7 months ago

Rob ate 3 cookies and drank 2 cups of milk. Barry ate 8 cookies and drank 1 cup of milk. Kevin ate 9 cookies and drank 4 cups of

harkovskaia [24]

<h3><u>Cookies</u></h3>

Rob: 3

Barry: 8

Kevin: 9

Let's add all of that up.

3 + 8 + 9

11 + 9

= 20 cookies total

Rob: 2

Barry: 1

Kevin: 4

Let's add this up.

2 + 1 + 4

3 + 4

= 7 cups of milk

They had 20 cookies and 7 cups of milk before they ate.

8 0

3 years ago

Read 2 more answers

find the value of x need help its been years since i practice or solved problems like this and with steps plz thanks in advance

Alex17521 [72]

All 3 triangle angles always add up to 180 degrees.
Angle to the left of 140 degrees = 40 degrees
Angle x = 180 -110 -40
Angle x = 30 degrees

5 0

3 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

2 years ago

1/2(4n-8)+10=4(n+5)​

1/2(4n-8)+10=4(n+5)