All categories

3 years ago

1/6(x-5)=1/2(x+6) help

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer: x= -23/2

Step-by-step explanation:

multiply both sides of the equation by 6

x-5=3(x+6)

distribute 3

x-5=3x+18

move variables to lest-hand side and change sign

x-3x=18+5

like terms

-2x=23

the divide both sides by -2

x= -23/2

You might be interested in

Solving the following simultaneous equations, 4x - 5y = 17 and x - 5y = 8,

dimaraw [331]

{4x - 5y = 17

{x - 5y = 8

{x = 5y + 8

{4(5y + 8) - 5y = 17

{x = 5y + 8

{20y + 32 - 5y = 17 | - 32

{x = 5y + 8

{15y = -15 | : 15

{y = -1

{x = 5 * (-1) + 8

{x = 3

{y = -1

7 0

3 years ago

Whoever answers this will get 99 points

GrogVix [38]

To find the sum of circumference, the equation is
C = 2πr

C = 2πr is your answer

hope this helps

7 0

4 years ago

Read 2 more answers

Find the domain of the given function. f(x) = square root of quantity x plus eight divided by quantity x plus four times quantit

BaLLatris [955]

Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):

√x+8)

f(x) = ------------------

(x+4)(x-6)

We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.

Thus, the domain is:

(-infinity, -4) or (-4, 6) or (6, infinity).

7 0

4 years ago

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of t

Bas_tet [7]

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that $\mu = 0.6$

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878$

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122$

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

6 0

3 years ago

The function rule C = 10n + 26 relates the number of people n who attend a small concert to the cost in dollars C of the concert

Nezavi [6.7K]

This is the concept of functions. We are required to calculate for the total cost of tickets if 27, 39 and 43 people attended a concert whose cost was represented by C=10n+26.
To solve for this we substitute the each values in the function as follows;
When n=27
C(27)=10*27+26=296

When n=39
C(39)=10*39+26=416

When n=43
C(43)=10*43+26
=456

4 0

3 years ago