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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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Graph the line with slope of 53<br> 5/3 and goes through the point (2,1).
klasskru [66]

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

y =m\cdot x +b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

b = y-m\cdot x

If we know that y = 1, x = 2 and m = \frac{5}{3}, then the y-Intercept of the linear function is:

b = 1-\left(\frac{5}{3} \right)\cdot (2)

b = -\frac{7}{3}

Line with a slope of \frac{5}{3} that goes through the point (2, 1) is represented by y = \frac{5}{3}\cdot x -\frac{7}{3}.

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

5 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ I NEED HELPPPPPPPPP
wolverine [178]

Answer: 15x-700≥1000

Step-by-step explanation:

5 0
3 years ago
The rule is "Multiply by 8." Which statement is true? Number of Packages 3 5 6 8 Number of Juice Boxes 24 40 48 ? A. The number
riadik2000 [5.3K]

The statement (C) the number of juice boxes must be an even number is correct.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a rule is “Multiply by 8"

Number of Packages:         3    5   6    8

Number of Juice Boxes:     24  40  48

The statements are:

  • A. The number of juice boxes will always be greater than 24.
  • B. The number of packages will always be greater than the number of juice boxes.
  • C. The number of juice boxes must be an even number.
  • D. The number of juice boxes will always be 21 more than the number of packages.

Number of package starts from 3

Applying the rule: "Multiply by 8.

Number of Juice Boxes = 3×8 = 24

The statement should be the number of juice boxes will always be greater than and equal to 24.

When we multiply even with odd we get an even number.

8 is an even number.

Thus, the statement (C) the number of juice boxes must be an even number is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

6 0
2 years ago
If you layered the cubes to make on big cube, what would be the dimensions of one side of the big cube?
Colt1911 [192]

Answer: Depends on how many cubes were used

Step-by-step explanation:

8 0
3 years ago
If 1600cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
MakcuM [25]

Answer:

Volume of the box would be 5725.73 cm^3.

Step-by-step explanation:

Given:

Surface Area of the box = 1600 \ cm^2

The Top surface of the box is open.

Now, Surface area of the box with Top surface open is given so we will find the side by using Surface Area of square formula which is 6 times square of side (side^2) But the Top surface is Open so the formula will become 5 times square of side (side^2)

\textrm {Area of the box}= 5 \timess side^2\\ \frac {1600}{5} = side^2\\ 320cm^2= side^2

Now taking square root on both side we get

\sqrt{320cm^2}= \sqrt{side^2}\\\therefore side = 17.89\ cm

Hence side of square is 17.89 cm.

Now We know the side, we will find the volume of square by take cube of side side^3

\textrm{Volume of box}= side^3= (17.89cm)^3= 5725.73cm^3

5 0
3 years ago
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