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podryga [215]
3 years ago
12

the letters of the word combine are placed at random in a row in how many ways can an arrangement occur such that all vowels are

placed together​
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
<h3>Answer: 720</h3>

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

Explanation:

The word "combine" has three vowels o, i, and e.

One grouping of the three vowels together leads to oie, which we'll replace with Z for now.

So we have the "word" Zcmbn after taking out the vowels and replacing with Z temporarily. There are 5 letters in Zcmbn making 5! = 5*4*3*2*1 = 120 different permutations.

Within any permutation of Zcmbn, there are 3! = 3*2*1 = 6 ways to arrange the sequence oie

So overall there are 6*120 = 720 different ways to arrange the word "combine" such that all the vowels stick together.

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki
Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie  

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y  ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

x+y+z=120 ------> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

\frac{y}{z}=\frac{3}{5}

z=\frac{5}{3}y -----> equation C

substitute equation B and equation C in equation A and solve for y

\frac{2}{3}y+y+\frac{5}{3}y=120

\frac{10}{3}y=120

y=120(3)/10

y=36

<em>Find the value of x</em>

x=\frac{2}{3}(36)=24

<em>Find the value of z</em>

z=\frac{5}{3}(36)=60

therefore

The  amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

\$60-\$24=\$36

therefore

Jessica makes $36 less than Kimmie

7 0
3 years ago
HELP WITH 4,5 AND 6 PLZZ
Blababa [14]

Answer:

4) divide, 5) multiply, 5) divide

Step-by-step explanation:

4) you need to divide to determine the length each individual ribbon will be

5) you need to multiply the price of one shirt by three to find the price of three shirts

6) you need to divide the amount of dog food the dog will eat each day by the amount of dog food to see how many days the food will last.

6 0
3 years ago
Please I don't Know Fractions
V125BC [204]

Answer:

11%

Step-by-step explanation:

1/3 (twix)

1/3 (snicker)

1/3 x 1/3 = 1/9

1/9 = .11

.11 = 11%

5 0
3 years ago
79% of 67 miles is what?
vovangra [49]
To do it without a calculator:

10% of 67 is 6.7
6.7 x 8 is 53.6 (80%)
1% of 67 is .67
53.6 - .67 is 52.93 (79%)
4 0
3 years ago
Can someone solve this:
soldi70 [24.7K]
The answer is 3x-4y-6z
5 0
3 years ago
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