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alexdok [17]
3 years ago
5

There are only blue cubes, yellow cubes and green cubes in a bag.

Mathematics
1 answer:
Rama09 [41]3 years ago
3 0
Let the yellow cubes be x

yellow = x
blue = 2x                // Blue cubes is twice of yellow
Green = 8x              // Green is four times of blue

Ratio:
Yellow : Blue : Green
   1       :   2    :     8

P(Yellow) = 1/11

-----------------------------------------------------------------------------
Answer: The probability of getting a yellow cube is 1/11.
-----------------------------------------------------------------------------
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PLEASE SHOW ALL THE STEPS THAT YOU USE TO SOLVE THIS PROBLEM
Mademuasel [1]

Answer:

{x = 1 , y=1, z=0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

{-2 x - y + z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x - 3 y - 2 z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y+0 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer:  {x = 1 , y=1, z=0

6 0
3 years ago
What is Yasmeen's annual salary if her salary per fortnight is $1610?<br><br><br><br>​
Oksi-84 [34.3K]

Answer:

$41,860.

Step-by-step explanation:

Weekly salary = 1610 / 2 = $805.

There are 52 weeks in a year so her annual salary

= 805 * 52 = $41,860.

8 0
3 years ago
The equation of a circle is given below. Identify the radius and center. Then graph the circle.
pav-90 [236]

The center of the circle is (0,2) and the radius is 5 units

<h3>How to determine the radius and the center?</h3>

The equation is given as:

x² + (y-2)² =25

The equation of a circle is given as:

(x - a)² + (y - b)² = r²

Where:

Center = (a,b)

Radius =  r

By comparison, we have:

(a,b) = (0,2)

r² = 25

Evaluate

r = 5

Hence, the center of the circle is (0,2) and the radius is 5 units

Read more about circle equation at:

brainly.com/question/1559324

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3 0
2 years ago
What is the equation of the graph obtained when the parent graph y = x3 translated 4 units left and 7 units down?
Slav-nsk [51]
D y=(-x+4)^3-7 is the right answer
8 0
3 years ago
Read 2 more answers
The Westside Bakery uses 310 pounds of flour to make 1,000 loaves of bread. Each loaf
DanielleElmas [232]

Answer:

310 / 1000 = 0.31 pounds

Step-by-step explanation:

When dividing by a number that is 1 less 0 than how many digits the number has, we can move the decimal point the number of times zero is repeated at the end of the number.

1000 has 3 zeroes, so we move the decimal point 3 moves to the left.

So, we do this:

After 0 moves: 310

After 1 move: 31.0

After 2 moves: 3.10

After 3 moves = 0.310

0.310 is the same as 0.31

Therefore, 0.31 pounds of flour are in each loaf.

7 0
2 years ago
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