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evablogger [386]
3 years ago
6

In a pre algebra class containing 40 students, there are 18 freshmen, 19 sophomores, and 3 juniors. What fraction of the class a

re freshmen?
Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

\frac{9}{20} of the class consists of freshmen.

Step-by-step explanation:

Given,

Total number of students = 40

Number of freshmen = 18

Number of sophomores = 19

Number of juniors = 3

Fraction of freshmen = \frac{Number\ of\ freshmen}{Total\ number\ of students}

Fraction of freshmen = \frac{18}{40}

Fraction of freshmen = \frac{9}{20}

\frac{9}{20} of the class consists of freshmen.

Keywords: fraction, division

Learn more about fractions at:

  • brainly.com/question/10712420
  • brainly.com/question/10744457

#LearnwithBrainly

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A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.
saveliy_v [14]

Answer:

The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer

Step-by-step explanation:

The formula of the volume of a sphere is V = \frac{4}{3} π r³, where r is its radius

∵ The hollow ball is shaped a sphere

∵ The ball has a radius to the outside surface of 6 centimeters

∴ The outer radius = 6 centimeters

∵ The ball is made of rubber that is 2 centimeters thick

∴ The thickness of the rubber = 2 centimeters

- The difference between the outside radius and the inside

    radius is equal to the thickness of the rubber

∴ The inner radius = 6 - 2 = 4 centimeters

The volume of the rubber = the outer volume - the inner volume

Lets calculate the outer and inner volumes

∵ V = \frac{4}{3} π r³

∴ V(inner) = \frac{4}{3} (3.14)(4)³

∴ V(inner) = 267.95 cm³

∴ V(outer) = \frac{4}{3} (3.14)(6)³

∴ V(outer) = 904.32 cm³

- By using the rule above find the volume of the rubber

∵ The volume of the rubber = 904.32 - 267.95

∴ The volume of the rubber = 636.37 cm³

- Round it to the nearest tenth

∴ The volume of the rubber = 636.4 cm³

The approximate volume of rubber used to make the ball is 636.4 cm³

5 0
3 years ago
Please help!! Sort the fractions from least to greatest: 0.25; 0.10; 0.85; 0.70; 0.45
Svetach [21]
If you have to multiply each decimal by 100 so it’ll make more sense and sort from there :)
5 0
4 years ago
Which of the following values of x satisfy the equation begin equation . . . 2 times x raised to the second power, plus 7 times
Oxana [17]

The values of the x that satisfies the equation 2x² + 7x +3 = 0  is -1/2 and -3 .

<h3>What is a polynomial function?</h3>

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

2x² + 7x +3 = 0
2x² + 6x + x + 3 = 0
2x (x+3) + 1(x + 3) = 0
(2x + 1)(x + 3) = 0
2x+ 1 = 0  ;  x + 3 = 0
x = -1 / 2 ;  x  = -3

Thus, the values of the x that satisfies the equation 2x² + 7x +3 = 0  is -1/2 and -3 .

Learn more about polynomial function here:

brainly.com/question/12976257
#SPJ1

3 0
2 years ago
Find the distance between the two points in simplest radical form. (-1,7) and (8,-5)
ladessa [460]

Answer:

Use the graphing tool to graph the linear equation.

Step-by-step explanation:

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2 years ago
Write a explicit rule for this sequence 4,7,10,13...
neonofarm [45]
Explicit rule: a_n=1+3n
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3 years ago
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