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Lerok [7]
2 years ago
12

The equation the quantity of x plus 20 over 2 = 3x represents when two tutoring services with different rate plans charge the sa

me fees for a session of x hours. solve for x.
Mathematics
1 answer:
victus00 [196]2 years ago
7 0

The solution to the equation is x = 4

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the equation is given as

(x + 20)/2 = 3x

Multiply both sides of the equation by 2

x + 20 = 6x

Subtract x from both sides of the equation

5x = 20

Divide both sides of the equation by 5

x = 4

hence, the solution to the equation is x = 4

Read more about equations at:

brainly.com/question/2972832

#SPJ1

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The total cost of renting a vacation
sleet_krkn [62]

Answer:

y=125x+75

Step-by-step explanation:

Y= 125x+B

700=125(5)+B

700=625+B

700-625=625-625+B

75=B

4 0
4 years ago
Let μ denote the true average radioactivity level(picocuries per liter). The value 5 pCi/L is considered thedividing line betwee
VMariaS [17]

Answer:

H0: μ = 5 versus Ha: μ < 5.

Step-by-step explanation:

Given:

μ = true average radioactivity level(picocuries per liter)

5 pCi/L = dividing line between safe and unsafe water

The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.

A type I error, is an error where the null hypothesis, H0 is rejected when it is true.

We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.

Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

7 0
3 years ago
A map has a scale of 1:5000000000 .
erastova [34]

Considering the definition of scale, you obtain:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

<h3>Real area of the farm</h3>

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}

<u><em>real area of the farm= 300 hectares</em></u>

Finally, the real area of the farm is 300 hectares.

<h3>Summary</h3>

In summary, you get:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

Learn more about scale:

brainly.com/question/15394385

brainly.com/question/27928319

brainly.com/question/11001778

brainly.com/question/23134978

#SPJ1

7 0
2 years ago
Area of combined rectangles #1
zzz [600]

Answer:

hahaeejejejejeueuehe equal148176

4 0
2 years ago
Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to
nalin [4]
Their slopes would be the same but their positions or points ( if the lines were on a graph) would be different.
5 0
3 years ago
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