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3 years ago

6(3X +5 ) = 7(2x +2)

Mathematics

2 answers:

boyakko [2]3 years ago

5 0

Answer:

X=-4 last answer i got i hope it is helpful have a nice day

Step-by-step explanation:

Let's solve your equation step-by-step.

6(3x+5)=7(2x+2)

Step 1: Simplify both sides of the equation.

6(3x+5)=7(2x+2)

(6)(3x)+(6)(5)=(7)(2x)+(7)(2)(Distribute)

18x+30=14x+14

Step 2: Subtract 14x from both sides.

18x+30−14x=14x+14−14x

4x+30=14

Step 3: Subtract 30 from both sides.

4x+30−30=14−30

4x=−16

Step 4: Divide both sides by 4.

−16

x=−4

Answer:

x=−4

Lady_Fox [76]3 years ago

5 0

Answer:

x = -4

Step-by-step explanation:

6(3x + 5) = 7(2x + 2)

18x + 30 = 14x + 14

i.e distributing;

18x - 14x = 14 - 30

4x = - 16

hence x = -4.

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3 years ago

A line passes through the point (0, 2) and has a slope of -1/4 What is the equation of the line?

maw [93]

Answer:

The required equation is x + 4y = 8 !!

Step-by-step explanation:

Given :-  the line passes through the point ( 0 , 2 ) and the slope of the line is ( -1/4 )

• Also, to form an equation when a point through which line passes and slope of line is given we use the formula ;

( y - y1 ) = m ( x - x1 )

Where , y and x are variables

and ( x1 , y1 ) are the points through which line passes

also, m = slope of the required line

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[ Refer to the attached file for further process ]

3 0

3 years ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

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 time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

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

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

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

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

4 years ago

Glen is planting square flower gardens surrounding a triangular fishpond as shown. If the sides of the triangular fishpond are 5

weqwewe [10]

Answer:

$h=\sqrt{106} \approx 10.3$ feet

Step-by-step explanation:

We will use the Pythagorean Theorem to solve this. Which states that:

One Length^2 + Another Length^2 = Hypotenuse^2

We can take one length as 5 ft and another length as 9 ft and we call the hypotenuse "h", so we have:

$5^2+9^2=h^2$

Now, let us solve for "h":

$5^2+9^2=h^2\\25 + 81 = h^2\\106=h^2\\h=\sqrt{106} \approx 10.3$

The pond's hypotenuse is about 10.3 feet

3 0

3 years ago