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Amanda [17]
3 years ago
7

the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning

what is the next time they will leave at the same time
Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

1 pm

Step-by-step explanation:

We have to find their LCM, or least common multiple

Multiples of 36: 36, 72, 108, 144, 180, 216, ......

Multiples of 45: 45, 90, 135, 180, ....

180 mins is their LCM.

180 mins = 3 hours

10am + 3hours = 1 pm

-Chetan K

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Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
  • (2x -1)(2x +1)(x -4)

Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
3 years ago
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
Lerok [7]

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

7 0
3 years ago
Read 2 more answers
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
salantis [7]

Let

x--------> the number of blue beads

y--------> the number of red beads

we know that

x+y=49

x=49-y -------> equation 1

x=6y ------> equation 2

equate equation 1 and equation 2

49-y=6y\\ 6y+y=49\\ 7y=49\\\\ y=\frac{49}{7} \\  \\ y=7

find the value of x

x=6*7\\ x=42

therefore

the answer is

Ivan has 42 blue beads

3 0
3 years ago
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Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
skelet666 [1.2K]

Answer:

105 inventions

Step-by-step explanation:

Find how many inventions Inventor B had by dividing 630 by 6:

630/6

= 105

So, Inventor B had 105 inventions

6 0
3 years ago
Write the equation<br> of a line that has<br> m = 2 and<br> b = - 3.
MatroZZZ [7]

Answer:

Step-by-step explanation: y=2x−3

6 0
3 years ago
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