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3 years ago

What is a solution of a linear inequality

1 answer:

7 0

Solution of a linear inequality
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

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Flies in a nest double every 12 hours. If the nest starts with 10 flies, how many will you have in 3 days?

irinina [24]

You would have 640 flies in 3 days.

5 0

3 years ago

In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music,

aleksley [76]

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

6 0

3 years ago

Using the net below, find the surface area

AVprozaik [17]

The Surface area of the triangular prism with the net shown below is 106 cm²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²

The Surface area of the triangular prism with the net shown below is 106 cm²

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0

1 year ago

Which of the following best defines an input? A. An input is the result of a relation or the function rule, usually the y-values

telo118 [61]

I would say that the answer is D. :)

7 0

3 years ago

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What is 1x1 ande 1x2 1x3 1x4 1x5 1x6 1x7 1x8 1x9 1x10

Ann [662]

Answer:

1,2,3,4,5,6,7,8,9,10

Step-by-step explanation:

1 x 1 is always gonna be the number 1 is multiplied by

ex:

if the problem is 1 x 9 then it would be 9

5 0

3 years ago

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