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Vikki [24]
2 years ago
5

The air pressure P is inversely proportional to the altitude h. write the related variation equation

Mathematics
1 answer:
Serhud [2]2 years ago
5 0

Step-by-step explanation:

P * h = k, where k is a real constant.

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70 x 10 ^ 3 word form
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Seven multiplied by ten to the third power
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the ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​
svetoff [14.1K]

9514 1404 393

Answer:

  • 12 boys
  • 20 girls

Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

_____

<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

5 0
2 years ago
The area of a segment of a circle is the area of the corresponding sector of the circle _____ the area of the corresponding tria
madreJ [45]

Answer:

The area of a segment of a circle is the area of the corresponding sector of the circle  <u>minus</u> the area of the corresponding triangle.

Step-by-step explanation:

We know area of segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.

5 0
2 years ago
Select the point that is a solution to system of inequalities
Murljashka [212]

Answer:

A

Step-by-step explanation:



5 0
3 years ago
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What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?
drek231 [11]
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

                            <span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)

Substituting the known terms,
                           Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
                           Sn = 26.5625

Thus, the sum of the first four terms is 26.5625. </span></span>
5 0
3 years ago
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