What is the value of each of these digits in 654321

The line a bus arrives at the bus stop every 25 minutes, and the line b bus arrives every 15 minutes.Both are at the stop right

vova2212 [387]

Answer:

after 75 minutes

Step-by-step explanation:

The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:

1. List the factors of each number and find the product of the unique ones:

15 = 3·5

25 = 5²

The LCM is 3·5² = 75.

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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...

15·25/5 = 75

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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:

15, 30, 45, 60, <em>75</em>, 90

25, 50, <em>75</em>, 100

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The two buses will appear together again after 75 minutes.

5 0

3 years ago

Find f(-3) for (x) = -2x + 5

valentina_108 [34]

Answer:

11

Step-by-step explanation:

x = -3

Substitute -3 with x

________________________

* = Multiplying

(-2*-3) + 5

= 6 + 5

= 11

3 0

2 years ago

Find the volume of the triangular prism. The base of the triangle is 4cm and the height of the triangle is 6cm. The length of th

igomit [66]

Answer:

72 cm*3

Step-by-step explanation:

volume = base area x height = 4 x 6 x 3 = 72

4 0

3 years ago

The speed of a runner increased steadily during the first two seconds of a race. Col1 Time (Sec) 0 0.5 1 1.5 2 Col2 Speed (ft/se

UkoKoshka [18]

Answer:

The distance is D. 21.25 ft.

Step-by-step explanation:

This is an example of a distance problem: <em>Find the distance traveled by an object during certain time period if the velocity of the object is known at all times.</em>

We are given a table of values for time and speed

$\left\begin{array}{cccccc}t(sec)&0&0.5&1&1.5&2\\Speed (ft/sec)&0&5.1&9.3&12.5&15.6\end{array}\right$

If the speed remains constant, then the distance problem is easy to solve by means of the formula

distance = speed x time

Therefore, the total distance is

$distance = 5.1\cdot 0.5+9.3\cdot 0.5+12.5\cdot 0.5+15.6\cdot 0.5\\distance = 21.25 \:ft$

7 0

3 years ago

What is (3. 1 times 10 Superscript 5 Baseline) (2. 2 times 10 Superscript 7 Baseline) in scientific notation? 5. 5 times 10 Supe

Kobotan [32]

The sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The given expression is:

$(3.1 \times 10^5) \times (2.2 \times 10^7)$

Evaluating the multiplication, we get:

$3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}$

It is because of exponent rule that $a^b \times a^c = a^{b+c}$ , and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

Learn more about scientific notation here:

brainly.com/question/3112062

3 0

2 years ago