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3 years ago

Find the value of x. (x + 30)

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

x=55

Step-by-step explanation:

The exterior angles of a polygon add to 360.

x+x+x+x+x+x+30 = 360

Combine like terms

6x+30 = 360

Subtract 30 from each side

6x+30-30 = 360-30

6x = 330

Divide by 6

6x/6 =330/6

x =55

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describe the difference between adding two negative numbers and multiplying two negative numbers. Please describe both.

kogti [31]

when you are adding two negative numbers, the sum is basically the two numbers added together but as a negative. when added together they create a larger negative number; ex. -2 -8 = -10 which is the same as 2 + -8 = -10. when you are multiplying two negative numbers, you are really just multiplying the numbers and they come out to be a positive. a negative times a negative is a positive. ex. -5 x -5 = 25.

8 0

3 years ago

The owner of a ski resort estimates that a new 4-person ski lift will cost $5,500,000. The owner begins making payments on March

disa [49]

Amount must the owner make to have the cost of the ski lift in 5 years is $6,711,045.22.

<h3>What is compound interest?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

A = P(1 + r/n) $^{nt}$

P =5,500,000

r =4%= 0.004

n =4

t= 5 years.

Now,

A = P(1 + r/n) $^{nt}$

A = 5,500,000.00(1 + 0.04/4) $^{(4)(5)}$

A = 5,500,000.00(1 + 0.01) $^{20}$

A = $6,711,045.22

Hence, The total amount accrued is $6,711,045.22.

Learn more about compound interest here:

brainly.com/question/14295570

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7 0

2 years ago

Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia

lidiya [134]

Answer:

a) 0.30327

b) 0.07582

Step-by-step explanation:

This is a Poisson distribution problem

Poisson distribution probability function is given as

P(X = x) = (e^-λ)(λˣ)/x!

where λ = mean = 3 power surges per hour

x = variable whose probability is required

a) If a single disturbance in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of a single disturbance (power surge) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 1 disturbance per 10 minutes

P(X = 1) = (e^-0.5)(0.5¹)/1! = (e⁻⁰•⁵)(0.5)/1!

= 0.30327

b) If two disturbances in 10 minutes will crash the computer, what is the probability of the computer crashing, that is probability of two disturbances (power surges) in 10 minutes?

λ = 3 disturbances per hour = 1 disturbance per 20 minutes = 0.5 disturbance per 10 minutes.

P(X = x) = (e^-λ)(λˣ)/x!

λ = 0.5 disturbance per 10 minutes

x = 2 disturbance per 10 minutes

P(X = 2) = (e^-0.5)(0.5²)/2! = (e⁻⁰•⁵)(0.25)/2!

= 0.07582

Hope this Helps!!!

3 0

4 years ago

a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $5

DedPeter [7]

Answer:

9.23 hours to recover the money spent.

Step-by-step explanation:

50+80=130

130x 9=1170

130x9.23=1200

5 0

3 years ago

SOLVE WITH STEPS PLZ!! -7 < 2y + 3

PSYCHO15rus [73]

Answer: y>−5

Step-by-step explanation: Let's solve your inequality step-by-step.

−7<2y+3

Step 1: Flip the equation.

2y+3>−7

Step 2: Subtract 3 from both sides.

2y+3−3>−7−3

2y>−10

Step 3: Divide both sides by 2.

−10

y>−5

5 0

3 years ago

Read 2 more answers