Helpppp PLZ 20 POINTS

Answer:

x equals 10, angle measure is 30°

Step-by-step explanation:

By using the Vertical Angles Theorem which states that opposite angles formed by 2 intersecting lines are congruent we can find that the measure of the angle with 3x is equal to the measure of it's opposite angle or 30°. Using this we can make an equation that can find us our answer.

3x = 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Answer:

The maximum rent each will pay is $1,333.

Step-by-step explanation:

They want the monthly rent to be no more than $3,999.

It will be split evenly between all of them, with each contributing with x.

This means that the maximum rent each will pay is given by:

[tex]3x = 3999[/tex]

[tex]x = \frac{3999}{3}[/tex]

[tex]x = 1333[/tex]

The maximum rent each will pay is $1,333.

Answer:

Step-by-step explanation:

Given

24 = 3(n - 5)

24/3 = n - 5

n- 5 = 8

n = 8+5

n = 13

hope it helps :)

Answer:

n = 13

Step-by-step explanation:

8=n-5

-n=-5-8

-n=-13

n=13

Answer:

1231.5

Step-by-step explanation:

I hope this help.

Answer:

1.5 years

Step-by-step explanation:

I = prt

54 = 800(.045)t

54 = 36t

t = 54/36

t = 1.55

Answer:

The amount of time is 1.5 years

Answer: 17.7

Step-by-step explanation:

[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]

Answer:

m= -4

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

4(+6)=−8

4+24=−8

4+24=−8

4+24−24=−8−24

Subtract the numbers

4m = -32

Answer: no solution

Step-by-step explanation:

They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution

Answer:

C

Step-by-step explanation:

Answer:

I'm going to say B

Step-by-step explanation:

I hope this helps! If right may I please have brainliest? :)

Answer:

a.

The fraction of the time is incoming alarms directed to the police is 74.02%

b.

The home security company has to pay $3,197,665 the local police every month.

Step-by-step explanation:

As per the given data

Numbers of guards = 5 guards

Calls received per hour = 12 calls per hour

Activity time = 90 minutes

First, calculate the inter-arrival time

Inter-arrival time = Minutes in an hour / Numbers of calls received per hour = 60 minutes per hour / 12 calls per hour = 5 minutes

a.

First, calculate the ratio of activity time to inter-arrival time

Ratio = Activity time / Inter-arrival time = 90 minutes / 5 minutses = 18

Now calculate the probability of all 5 servers are busy using ratio of activity time to inter-arrival time

Probability = [tex]P_{Servers}[/tex] ( ratio )

Probability = [tex]P_{5}[/tex] ( 18 )

Probability = 0.7402

Probability = 74.02%

Hence the probability of incoming calls directed to the police is 74.02%

b.

First, calculate the loss of customers

Loss of customers = Probability x ( 1 / Servers )

Loss of customers = 74.02% x ( 1 / 5 )

Loss of customers = 0.7402 x 0.20

Loss of customers = 0.14804 per minute

Loss of customers = 0.14804 per minute x 24 x 60 x 30 = 6,395.33 calls per month

Now calculate the total loss

Total loss =  6,395.33 calls x $500

Total loss = $3,197,665

Answer:

600 km

Step-by-step explanation:

72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)

50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)

I hope this helps :)

Answer:

600

Step-by-step explanation:

took the test

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.

Answer:

I think 6 mph

Step-by-step explanation:

I needore characters so ingnor this sentence.

Answer:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

Then if the radius of the circle is R = 4*x^3

The area of this circle will be:

A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2

Here you need to remember that:

(a^n)^m = a^(n*m)

Then the area of the circle is:

A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6

So the monomial that represents the number of square units in the area of the circle is:

A(x) =  50.24*x^6

Answer:

1360

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

(5,7)

Step-by-step explanation:

(1,8)

(9,6)

x+x= 9+1=10

y+y= 8+6=14

ans. divide by 2

(5,7)

Answer: I believe that is correct! good jobbb

Step-by-step explanation:

Answer:

[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Step-by-step explanation:

Given

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Solving (a): A common denominator of M and N.

To do this, we simply get the LCM of both denominators

[tex]M = x^2 - 5x - 50[/tex]

[tex]N = x^2 - 14x + 40[/tex]

Factorize both:

[tex]M = (x - 10)(x + 5)[/tex]

[tex]N = (x- 10)(x - 4)[/tex]

The LCM is

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

Hence, the common denominator is:

[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

Solving (b): Rewrite M

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

Factor the denominator:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of M by (x - 4)

The expression becomes:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]

[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

Solving (c): Rewrite N

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Factor the denominator:

[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of N by (x + 5)

The expression becomes:

[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]

[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

(d) Solve M + N

[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

Take LCM

[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]

Open brackets

[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]

Collect Like Terms

[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]

[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9

Step-by-step explanation:

jk its c

it doesn't make sense kay

Answer:

y = 23

Step-by-step explanation:

115 = 5y

Divide 5 by both sides of the equation.

y = 23

Answer:

I would say A but i am not sure i did not take the test

Step-by-step explanation:

Answer:

0.75x

Step-by-step explanation:

Theres not much to show. It says that you buy x bags of chips for $0.75. So how I got 0.75x is because you have to multiply 0.75 x times to get your answer,but here they just want you to write an equation with out solving it.

Answer: Choice C

=========================================================

Explanation:

The mean is 98, so that's the center of the distribution. This is where the highest point occurs because the most people are clustered around here. This rules out choice A and the answer is between B or C.

One standard deviation above the mean is 98+6 = 104. All we do is add on the standard deviation (6) to the mean (98) to get 104.

One standard deviation below the mean is 98-6 = 92

The graph that has tickmarks at 92 and 104 indicate we are exactly 1 standard deviation from the mean (98)

Similarly, 2 standard deviations above the mean is at 98+2*6 = 98+12 = 110. Or you could say 104+6 = 110.

2 standard deviations below the mean would get us to 98-2*6 = 98-12 = 86

The same idea applies to 3 standard deviations as well.

All of this matches with graph C. We can eliminate graph B by noticing that something like 95 is not a result of 98-6.

Answer:

The test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

Step-by-step explanation:

Since, on a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions, the test is worth a total of 100 points and there are twice as many 2-point questions as 5- point questions on the test, to determine how many 2-point questions are on the test, the following calculation must be performed:

18 x 2 + 9 x 5 + 1 x 4 = 36 + 45 + 4 = 85

16 x 2 + 8 x 5 + 4 x 4 = 32 + 40 + 16 = 88

14 x 2 + 7 x 5 + 7 x 4 = 28 + 35 + 28 = 91

12 x 2 + 6 x 5 + 10 x 4 = 24 + 30 + 40 = 94

10 x 2 + 5 x 5 + 13 x 4 = 20 + 25 + 52 = 97

8 x 2 + 4 x 5 + 16 x 4 = 16 + 20 + 64 = 100

Thus, the test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.