How many permutations can be made of the letters of the word "radar" when taken all at a time?

Answers

Answer 1
Answer:

The number of permutations can be made of the letters of the word "radar" when taken all at a time is 30.

What is Permutation?

This is defined as ways in which n things can be arranged, taken all at a time.

P(n,r) = n!/(n-r)!

Radar has 5 words with 2r , 2a and 1d which means

5! / 2! 2! 1!

5! = 5×4×3×2×1 = 120

2! 2! 1! = 4

120/4 = 30

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Twice a number decreased by eight is less than five times the number increased by ten.

Answers

twice a number (2 times x) dcreased by 8 (minus 8) is less than (<) 5 times the number (5 times x) increses by 10 ( plus 10)

2x-8<5x+10
subtract 2x from both sides
-8<3x+10
subtract 10 from both sides
-18<3x
divide both sides by 3
-6<x



the number is any number bigger than -6
x*8-5*x+10 that's the equation...

What the product of 3 2/3 and 14 2/5

Answers

Hi There! :)

What the product of 3 2/3 and 14 2/5

52 4/5


Change the decimal 0.0112 to a fraction. A. 112/10,000 B. 112/100 C. 112/100,000 D. 112/1,000

Answers

option A, 112/10,000, is the correct fraction representation of the decimal 0.0112.

A fraction is a numerical representation of a part of a whole or a division of one quantity by another. It consists of two parts: a numerator and a denominator, separated by a horizontal line.

To convert the decimal 0.0112 to a fraction, we simply write the digits without the decimal point over the appropriate power of ten.

In this case, 0.0112 can be expressed as 112/10,000 (option A). The decimal point in 0.0112 is equivalent to dividing by 1 followed by four zeros. Simplifying the fraction, we get 112/10,000, which cannot be reduced further.

Therefore, option A, 112/10,000, is the correct fraction representation of the decimal 0.0112.

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The answer would be A. 112/10,000.

The answer would be that because: If we do 0.1001, it wouldn't be 112/100 or 112/1,000, and 112/100,000 is too big.

Hope this helped! c:

5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 5L that is 12% orange juice? How many liters of the 15% orange juice should be in the mixture?

Answers

x: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice

Three times the quantity of a number and 2.5 is 6.6.

Answers

1. Make an equation
3x * 2.5= 6.6
2. Then solve. Get x on its own side

3x*2.5=6.6
     /2.5=/2.5
3x=2.64
/3=/3
Then check by substituting .88 as x then you will get 6.6
x=0.88
I hope this helped

Final answer:

The question is a basic algebra problem where we are required to solve for a variable, in this instance 'x'. Upon solving the equation 3x + 2.5 = 6.6, we find that x equals approximately 1.37.

Explanation:

The question is asking us to find a number such that when we multiply it by three and then add 2.5, the result is 6.6. In mathematical terms, we can express this as an equation like this: 3x + 2.5 = 6.6.

To solve this equation first, we need to do the opposite operation of adding 2.5 to the equation on both sides, which involves subtracting 2.5 from both sides of the equation. After doing this, the equation becomes 3x = 6.6 - 2.5, which simplifies to 3x = 4.1.

Next, we do the reverse operation of multiplying the unknown by 3, which is done by dividing both sides of the equation by 3. Therefore, x = 4.1 / 3, which gives us x = 1.36666667. This value, rounded to two decimal places, is 1.37.

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An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment?

Answers

well .5 for coin toss and with 52 cards in deck and clubs and spades makes it 26 so its 1/26 then those are your probabilities.

Answer:th answer is 7

Step-by-step explanation:

the answer is 7