How many different ways can the letters in the word "micro" be arranged if it always has to start with a vowel?

Answers

Answer 1
Answer: -- The first letter can be either one of 2 letters ('i' or 'o').  For each of those ...
-- The second letter can be any one of the remaining 4 .  For each of those ...
-- The third letter can be any one of the remaining 3 .  For each of those ...
-- The fourth letter can be any one of the remaining 2 .  For each of those ...
-- There's only 1 letter left to go into the fifth place.

Total possible arrangements = (2 x 4 x 3 x 2 x 1) = 48 possibilities.
Answer 2
Answer: there are two vowels in the word 'micro' i and o
so there are 2 possibilities for the first letter slot.

there are 5 slots total and the first slot has been taken so
there are 4 options for the second slot
3 options in the 3rd slot
2 options in the 4th slot
and 1 option in the 5th slot

so 2*4*3*2*1=48 possibilities

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$126 to $150 find the percent change

Answers

Initial cost = $126
Final cost = $150
Then
Amount of change = (150 - 126) dollars
                               = 24 dollars
Then
Percentage change = (24/126) * 100
                                 = 2400/126 percent
                                 = 19.05 percent
So from the above deduction we can easily conclude that the percentage change is 19.05%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.
$150 - $126= $24

$24/ $126* (100/100)= 19.05%

The percent change is 19.05%.

mason is growing tomatoes in his garden this year. every 1.5 ft of stalk yields about 3.4 lbs of tomatoes. he has four plants with a combined stalk lenghth of 10.5 feet. how many pounds of tomatoes can he expect to harvest?

Answers

You would have to multiply 3.4 times 10.5

1.00 as a percent need help

Answers

1 is equal to 100% it can be proven on a calculator
1.00 as a percent would be 100%.

Remember that percentage means 'out of one hundred'. So 60 percent would look like 60/100 as a fraction, or 0.60 as a decimal.

1.00 is a whole number, if we converted it to a fraction with a denominator of 100, then it would look like 100/100. 100/100 is 100%

Answer=100%

Or you could multiply the decimal by 100.

0.60*100=60%

1.00*100=100%

Answer=100%

Write an expression that can be used to multiply 6x198 mentally.

Answers

assuming you meant 6x198 do a mental sum for 6x200 (1200) then subtract 6x2(12)to give you 1188
In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.  

I need the answer to this question quick..

Answers

35/5= 7 cm so we have found ''d'' of a circle. R=1/2 d =3.5 cm
The triangle base contains of three full circles 3*7=21 cm + 2 half circles which make a full one =7
AB= 7+21=28 CM 
To find the height CH (Name the triangle ABC and the height CH) we do the same calculation. 2 half circles= 1 full + 1 full = 2 full = 2*7=14 cm. 
The area is : AB*CH/2 = 28*14/2= 196 cm 2
I hope you understood because it's not the way I am used to explain Math exercises, because of my native Albanian language :) 
180 because all sides have to equal 180 added to gether

Whats the value of this expression ?
30+[(6÷3)+(3+4)]

Answers

To do this do the work in the brackets first. There are two parentheses.  First solve 6/3.  This gives you two.  Now you add it to 7 (3+4) to get 9.  Now you want to add 30 by 9.  The answer is 39.
Solve the ones inside the parenthesis.
6÷3 = 2
4+3=7  add 7 and 2 which is 9
now since everything inside the brackets and parenthesis is solved add the 30 to 9
 30+9 = 39