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user100 [1]
3 years ago
12

Roberta is lining up nine different coloured blocks. There are five green blocks, two white blocks and two orange blocks. In how

many ways can she arrange these blocks?
Mathematics
1 answer:
Amanda [17]3 years ago
6 0
If the blocks were 9 different colors, then there would be

     9 !(factorial) = 362,880 different ways to line them up.

But for each different line-up, there are 5! =120 ways to arrange
the green blocks and you can't tell these apart, 2!= 2 ways to arrange
the white blocks and you can't tell these apart, and 2!=2 ways to arrange
the orange blocks and you can't tell these apart.

So the number of distinct, recognizable ways to arrange all 9 blocks
is

         (9!) / (5! · 2! · 2!)  =  (362,880) / (120 · 2 · 2)  =  756 ways.
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A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on
vichka [17]

There will be 72 flowers in total in the large arrangement.

Step-by-step explanation:

No. of red flowers in vase = 4

No. of white flowers in vase = 5

Ratio of red flowers to white flowers = 4:5

No. of red flowers in large arrangement = 32

No. of white flowers in large arrangement = w

Ratio of red flowers to white flowers = 32:w

Using proportion;

Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers

4:5::32:w

Product of extreme = Product of mean

4*w=32*5\\4w=160

Dividing both sides by 4

\frac{4w}{4}=\frac{160}{4}\\w=40

Total flowers in large arrangement = Red flowers + white flowers

Total flowers in large arrangement = 32 + 40 =72

There will be 72 flowers in total in the large arrangement.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/4228574
  • brainly.com/question/4279146

#LearnwithBrainly

5 0
3 years ago
After a shopping spree at Target, John realized he spent three times more money than his brother Mike. They spent a total of $16
PSYCHO15rus [73]

Answer:

John spent around $53

Step-by-step explanation:

The equation is 3x=160

Since the "x" is already by itself on one side, divide 160 by 3

160÷3=53.333⇒

Now if that's not the way IT CAN ALSO BE:

30x3+70=160! That means John spent $90

5 0
3 years ago
Write a recursive formula for the sequence 6,10,14,18,22,.The find the next term
Assoli18 [71]

Answer:

10


Step-by-step explanation:


4 0
3 years ago
7 1/3 + 5 5/6 sum up as a fraction please 100 points
beks73 [17]

Answer:

The answer is 13 1/6

Step-by-step explanation:

The answer is 18 because 7 1/3 turns into 7 2/6 and 7 * 6 is 42 and 42 plus 2 is 44. Next You turn 5 5/6 into a improper fraction which turns into 35/6 and 35 plus 44 is 79/6 and 79/6 simplified is 13 1/6

3 0
2 years ago
HELP ASAP GIVING BRANLIST 100 POINTS!!
musickatia [10]

Rate of change = difference in y over difference in x.

Rate of change = (33-20)/(3-1) = 13/2

Rate of change = (48-33) /(5-3) = 15/2

The rates are not the same so it isn’t linear.

The rate of change for x=3 and x = 5 is greater.

6 0
3 years ago
Read 2 more answers
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