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3 years ago

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours, What distance would it cover in 3 hours?

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

The answer is 4.24 I just multiplied

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Lines

xeze [42]

Answer:

x=27, y=18

Step-by-step explanation:

Angle CB is 128, which means angle AC is 72. We can confirm angle O is also 72, since the lines are straight. Angle AM is 27, because AN is a right angle. 63+72+27= 162 180-162=18 Angle ND is 18.

6 0

4 years ago

Read 2 more answers

You will have 27 points if you can help me with this please!!!!

KatRina [158]

Answer:1: P 2: d 3:a

Step-by-step explanation:

5 0

3 years ago

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Find the volume of a prism with base area 32 cm2 and height 1.5 cm.

ozzi

Answer: 48

Step-by-step explanation:

8 0

2 years ago

2X + 4 = 14<br> what is X

Simora [160]

Hello!

2X + 4 = 14

X = 5

2 * 5 = 10

10 + 4 = 14

I hope this helps, and have a nice day!

3 0

3 years ago

Read 2 more answers