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Lana71 [14]
1 year ago
12

How many different ways

Mathematics
1 answer:
Lorico [155]1 year ago
3 0

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

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A new price of an item is $39.32. The percent increase was 16%. What was the original price?
Fiesta28 [93]

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

4 0
2 years ago
I really need help please!! <br><br> ax - b = c<br><br> Solve for X<br><br> Show work please!!
Elina [12.6K]

ax - b = c

add b to both sides

ax - b + b = c + b

simplifying

ax =  c + b

divide both sides by a

ax / a =  (c + b) / a

simplifying

x =  (c + b) / a

6 0
2 years ago
Read 2 more answers
A jar contains 4 red marbles, numbered 1 to 4, and 11 blue marbles numbered 1 to 11. A marble is chosen at random. If you're tol
svlad2 [7]

Answer:

25%

Step-by-step explanation:

So there are four marbles that are red.

It doesnt matter if we have a probability of picking blue because the question says you are picking red.

There are four possible outcomes and one favorable outcome so it is 1/4 of 25/100 or 25%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
3[x + 3(4x – 5)] = 15x – 24
Alex17521 [72]

Answer:

\boxed{ \bold{ \huge{ \boxed{  \sf{x = 0.875}}}}}

Step-by-step explanation:

\sf{3[ x + 3(4x - 5)]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{3[ x + 12x - 15 ]  = 15x - 24}

Collect like terms : 12x and x

⇒\sf{3[ 13x - 15 ]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{39x - 45 = 15x - 24}

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒\sf{39x - 15x =  - 24 + 45}

Collect like terms

⇒\sf{24x =  - 24 + 45}

Calculate

⇒\sf{24x = 21}

Divide both sides of the equation by 24

⇒\sf{ \frac{24x}{24}  =  \frac{21}{24}}

Calculate

⇒\sf{x = 0.875}

Hope I helped!

Best regards! :D

5 0
3 years ago
X
allochka39001 [22]

Answer:

1) y = 41

2) y = 4

Step-by-step explanation:

8 0
3 years ago
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