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torisob [31]
4 years ago
7

How do you solve this??

Mathematics
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
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