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Katarina [22]
3 years ago
12

The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be us

ed to determine the possible number of girls, x, in the chess club?
Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

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5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

7 0
3 years ago
A web ad can be designed from four different colors, three font types, five sizes, three images, and five text phrases. A specif
jeka57 [31]

Answer:

a. 3/4

b. 1/2

c. 5/6

Step-by-step explanation:

From the question, We are given that:

4 different colours, 3 different font types, 5 sizes, 3 images, 5 text phrases.

If event A is the event that the design color is red, then:

P(A) = 1/4

P(A') = 1 - 1/4 = 3/4.

If event B is the event that the font size is not the smallest one, then:

P(B) = 2/3

P(B')= 1 - 2/3 = 1/3.

P(AnB) = 1/4 * 2/3 = 2/12=1/6

P(AnB')=1/4 * 1/3 = 1/12

P(A'nB') = 3/4 * 1/3=1/4

Solving the questions,

a. P(AuB) = P(A) + P(B) - P(AnB)

P(AuB) =(1/4) + (2/3) -(1/6)

P(AuB) = 9/12

P(AuB) = 3/4

b. P(AuB') = P(A) + P(B') - P(AnB')

P(AuB') = 1/4 + 1/3 - 1/12

P(AuB') = 6/12

P(AuB') = 1/2

c. P(A'uB') = P(A') + P(B') - P(A'nB')

P(A'uB') = 3/4 + 1/3 - 1/4

P(A'uB') = 10/12

P(A'uB')=5/6

8 0
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Alex_Xolod [135]
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=(144a^12b^3)^(1/4)
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Answer: </span>12^(1/2)a^3b^(3/4)
3 0
3 years ago
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Vinvika [58]

Answer:

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Step-by-step explanation:

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3 years ago
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