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bazaltina [42]
2 years ago
12

A train travels 250 miles at a constant speed (x), in miles per hour.

Mathematics
2 answers:
Archy [21]2 years ago
6 0

Answer: 5x=250 , where x is the speed of the train.

Step-by-step explanation:

The formula to calculate speed is given by :-

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

Since, the distance traveled by train = 250 miles

Let x be the speed of the train.

Then, the  equation that can be used to find the speed of the train, if the time to travel 250 miles is 5 hours is given by :-

x=\frac{250}{5}\\\\\Rightarrow\ 5x=250......................[\text{Multiplying 5 on both sides}]

Sedaia [141]2 years ago
4 0
250 = 5 x is the equation you can use
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Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
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Given P||Q and T is transversapf, which of the following justifies 3 and 6?
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What are the answer choices?

6 0
3 years ago
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What is the sum of 6dm, 40mm, 2m and 10cm in meters?
sveticcg [70]

Answer:

<h2><u><em>2.74 m</em></u></h2>

Step-by-step explanation:

<u><em>convert to meters</em></u>

6 dm = 0.6 m

40 mm = 0.04 m

2 m = 2 m

10 cm = 0.1 m

sum

0.6 + 0.04 + 2 + 0.1 =

2.74 m

7 0
2 years ago
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