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3 years ago

10

there are 12 girls and 18 boys in a class. What is the largest number of groups they can be split up into and have the same numb

er of boys and girls on each team?

1 answer:

Veronika [31]3 years ago

5 0

They all can be split up to 6 groups because 12+18=30 so each group will have 5 kids in it.

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Please help solve 6x < 42

tensa zangetsu [6.8K]

6x<42

Divide 6 by both sides

x<7

7 0

3 years ago

There are 10 rolls of film in a box and 3 are defective. two rolls are selected without replacement. what is the probability of

german

P(picking one defective) = 3/10
P(picking a 2nd defective) = 2/9

P(1 and 2 defective) = 3/10 x 2/9 = 6/90 = 0.066

Second method using combination:
³C₂ / ¹⁰C₂ = 1/15 = 0.066

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3 years ago

Rani, Anita, Jassi and Zoyz are each given a piece of wire of the same length. They bend the wire into different shapes as shown

LenKa [72]

Answer:

Saw this question before. The answer is Anita' square.

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3 0

3 years ago

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago

F(x)=2.8x-12 and g(x)=5.8x+9

xxMikexx [17]

Hi, there!

I'm not sure what you want to solve in these equations. Please provide me with more details. I am sorry if you were looking for answers to the question, but I simply do not know what you are asking for.

Thanks!

6 0

3 years ago