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kotegsom [21]
3 years ago
8

How many ways can the letters of the word EIGHT be arranged if the first letter must be an E?

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer: C

<u>Step-by-step explanation:</u>

1st letter (E)     2nd letter     3rd letter    4th letter     5th letter

      ₁C₁                   ₄C₁              ₃C₁              ₂C₁               ₁C₁    

        1         x          4        x        3       x        2       x         1        = 24

or

      ₁P₁   x    ₄P₃

       1    x     24   = 24    

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If you started counting when you first learned how to count and then counted by ones, eight hours a day, 5 days a week for 50 we
xenn [34]

Answer:

The number they would count is \approx 0.49\cdot10^{-2}\ \%}

Step-by-step explanation:

One mole is equal to 6.02214076x10^23 particles. In order to know the number counted by every human on Earth we simply multiply the number of humans times the count a "good counter" can achieve, 4x10^9x7.44x10^9 (for USA, change to 4x10^12 if you use de British English definition). Thus:

\displaystyle{\frac{4\cdot10^9\cdot7.44\cdot10^9}{6.02214076\cdot10^{23}}=\frac{2.976\cdot 10^{19}}{6.02214076\cdot10^{23}}\approx 0.49 \cdot 10^{-4}\approx 0.49\cdot10^{-2}\ \%}

6 0
3 years ago
On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block m
expeople1 [14]

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)

5 0
3 years ago
Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is $28.30
Sonja [21]
Based on the given details above, here are the answers to your question.
If x represents the number of quarters in the jar, the equation that can be used to find the number of quarters is this <span>0.25x + 0.05(150 x) = 28.30.
Then, for the how many quarters and how many nickels are there, the answer is </span><span> 46 quarters; 104 nickels. Hope this answer helps. </span>
5 0
4 years ago
What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet
QveST [7]
Well we know the area of a square is l*w, or s^2. So we can use s^2 where s=6 in your case. Now 6^2 is 6*6, which is 36.

So the area of a square rug that measures 6 feet is 36 feet

Answer= 36 feet
4 0
3 years ago
Read 2 more answers
A student buys
garik1379 [7]

Answer: 10$

Step-by-step explanation:

164 - 4x16 = 100

6 + 4 = 10

100 : 10 = 10

7 0
3 years ago
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