-3x = 24
Solve for X

Answers

Answer 1

Answer: -3x = 24
/-3 on both sides
x = -8

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Graph the line that passes through the given point and has the given slope m. (3,10); m=-(5)/(2)

Answers

Step-by-step explanation:

given a slope and a point that the line passes through you have 2 options

Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)

Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.

Suppose the labor force is 189 million of a possible 244 million working-age adults. The total number of unemployed is 15 million. Whatis the standard unemployment rate?

Answers

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.

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Answers

Answer:x=13

Step-by-step explanation:

Since they are both corresponding angles you can create the equation

5x+21=86

Subtract 21 from each side

5x=65

Divide each side by 5

X=13

Find x. Round to the nearest tenth if needed.

Answers

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

Every day, you take the elevator from the basement parking lot that is at level-3. The elevator takes twoseconds per level and you find that it takes 46 seconds to reach your floor.
Which floor do you live on?

Answers

23 is the floor which you live on

The spread of a disease can be modeled as n=200 Square root t, where n is the number of infected,and t is the time(in days). How long will take until the number of infected people reaches 1400

Answers

Answer:

49 days

Step-by-step explanation:

The spread of the disease is modeled as

$n = 200 √(t)$

where n = number of infected people

t = time (in days)

When the number of infected people is 1400, the number of days t will be:

$1400 = 200√(t)\n \n1400 / 200 = √(t)\n\n7 = √(t)\n\n=> t = 7^2 = 49$

It will take 49 days for the number of infected people to reach 1400.

Final answer:

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Explanation:

To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).

So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.