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4 years ago

7

How do you solve this??

1 answer:

DochEvi [55]4 years ago

8 0

Answer:

Step-by-step explanation:

Hi Millie.

First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.

Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.

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Solve this problem out

Virty [35]

Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3><u>Solution:</u></h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

<em><u>Expanding the above expression using algebraic identity:</u></em>

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

<em><u>There are two simple rules to remember: </u></em>

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

3 0

3 years ago

Barbara bought 5 movie tickets for $30. If she bought 9 tickets how much would it cost?

Mamont248 [21]

$54
30 divided by 5 is 6. then 6 times 9 is 54

4 0

3 years ago

Read 2 more answers

Find the later area of the figure

o-na [289]

Answer:

$\large\boxed{60\pi\ sq.in.}$

Step-by-step explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rl$

r - radius

l - lateral height

We have the radius r = 6in and the height H = 8in.

Use the Pythagorean theorem to calculate the lateral height:

$l^2=6^2+8^2\\\\l^2=36+64\\\\l^2=100\to l=\sqrt{100}\\\\l=10\ in$

Substitute:

$L.A.=\pi(6)(10)=80\pi\ in^2$

3 0

3 years ago

(x + 4) mm <br> What is the value of x according to this picture?

irinina [24]

Answer:

x = 24

Step-by-step explanation:

The angle bisector creates proportional corresponding line segments on either side of it. That is ...

(35 mm)/(56 mm) = (x +4) mm/(44.8 mm)

Multiplying by 44.8, you have

44.8 · (35/56) = x + 4

28 = x + 4 simplify

24 = x subtract 4

8 0

3 years ago

What's the slop of the line with the two points 3,2 and 7,9

Bad White [126]

Answer and working out attached below. Hope this helps

6 0

3 years ago