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e-lub [12.9K]
3 years ago
12

In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak

e History. There are 10 that take Geometry and French, 7 that take History and French and 15 that take Geometry and History. There are 2 students who take all 3 and 5 that take none of these subjects.
Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

58 students

Step-by-step explanation:

Given

Total = 85

French = 27

Geometry = 51

History = 38

None = 5

All = 2

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

x + 7 -2+10-2+2=27

x + 15=27

Collect like terms

x =- 15+27

x =12

For Geometry only (y), we have:

y+10-2+15-2+2=51

y+23=51

Collect like terms

y=-23+51

y=28

For History only (z), we have:

z +15-2+7-2+2=38

z +20=38

Collect like terms

z =-20+38

z =18

Students with one subject is then calculated as:

1\ subject = x+y+z

1\ subject = 12 + 28 + 18

1\ subject = 58

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Andrej [43]
X^2 + 2x + x + 2x + 30 = 180

Combine like terms ( 2x + x + 2x ) = 5x

x^2 + 5x + 30 = 180

Move the 30 to the other side of the equation( subtracting)

x^2 + 5x = 150

Move the one 150 to the other side of the equation( adding)

x^2 + 5x + 150 = 0

Now move the x^2 to the other side of the equation(adding)

5x + 150 = x^2

Ans that's the most I can simplify.
7 0
3 years ago
Elementary algebra 1/4 divided by 3 equals
levacccp [35]

Answer:

1/12

Step-by-step explanation:

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4 0
3 years ago
HELP ME PLEASE AND QUICK IT'S DUE 12:00PM
mario62 [17]

Answer:

The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3

The volume of the smallest cylinder is 3141.59cm^3

The volume of the medium cylinder is 6282.67 cm^3

Step-by-step explanation:

the equation for a cylinder's volume is pi(r)^2(height)

The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3 (remember the units!)

The volume of t he smallest cylinder is 1/3 the largest or: 9424.78/3 = 3141.59cm^3 (remember the units!)

The volume of the medium cylinder is 2/3 the largest or 9424.78(2/3) = 6282.67 cm^3

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Solution

For this case in order to have an obtuse angle we need to satisfy this:

c^2>a^2+b^2

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2(4 – 16) – (–30) 2(–12) – (–30) 24 – (–30) 54
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Step-by-step explanation:

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4 years ago
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