All categories

2 years ago

I need help with this Maths Homework Question.

Mathematics

1 answer:

Monica [59]2 years ago

3 0

Answer:

1. 41/45.

2. x/(x^2+3x+6)

Step-by-step explanation:

So first we fill the ven diagram.

There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.

now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up

240 + 60 + 110 = 410.

The total possible outcome is 410, and the total outcome is 450, so the answer is

410/450 = 41/45

First, to get the total outcomes, we have to add all the expressions together.

x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.

Since that is the total outcome, we have to find the possible outcomes.

The problem wants BOTH from the 20th century and British, so it is x.

x/(x^2+3x+6). We cannot simplify any further, thus x/(x^2+3x+6) is our answer

You might be interested in

What is 8 groups of0.32?

Lelechka [254]

Okay! In order to find 8 groups of .32 you'd simply divide them. So:

[.32 ÷ 8] = .04

To check you multiply:

[8 x .04] = .32.

The answer is .04

4 0

3 years ago

Consider this cube with a volume of 64 cubic centimeters.

Eduardwww [97]

Answer:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

We are told that:

A cube has volume 64 centimeters cubed.

The formula for the volume of a cube = s³

Where s = side length

Hence

64 cm³ = s³

We can find s by finding the cube root of both sides

Hence,

cube root(64) = cube root(s³)

s = 4 cm

Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³

Therefore, it can be concluded of the cube that:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

3 0

2 years ago

Write an equation in slope intercept form for the line that has a y intercept of 3 and a slope of -2

charle [14.2K]

Answer:

-2x + 3

Step-by-step explanation:

Trust me, this is the answer.

An explanation:

Slope is rate of change.

if the lady sells 2 cakes in 3 hours, her rate of change, or slope is 2/3.

Y-intercept is where the data enters the graph. It will not always be at the origin of the graph. If on the lady's first day of business, she sold 10 cakes, the Y-intercept is 10. This equation of the lady's business in slope intercept form would be 2/3x + 10. ALWAYS write the slope before x and the y intercept after the + or -- , hope this helps, but -2x + 3 is your answer for sure.

4 0

3 years ago

3 loq, 6) - 2 log (5x) = 2

Scrat [10]

Answer:

is this the answer im sorry i did not put steps i was in a hurry to go to the next class.

Step-by-step explanation:

y=10(log(5x)+1)/9lq(y,x)

l=0

4 0

3 years ago

Solve the following system of equations:

Vladimir79 [104]

Answer:

(-1,1)

Step-by-step explanation:

We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.

Graphing:

Mathematically:

−2x + 4y = 6

y = 2x + 3

See the attached graph. The lines intersect at (-1,1)

--------------------

I'll rearrange the first equation (to make it easier for me):

−2x + 4y = 6

4y = 2x + 6

y = (1/2)x + 1.5

Now lets substitute the second equation into the first so that we can eliminate y:

y = 2x + 3

[(1/2)x + 1.5] = 2x + 3

- (3/2)x = (3/2)

x = -1

If x = -1:

y = 2(-1) + 3

y = 1

The solution is x = -1 and y = 1, or (-1,1)

=================

Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.

3 0

1 year ago