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Arturiano [62]
2 years ago
6

When dividing 250,000 by 100, the digits in the quotient move how many places to the right?

Mathematics
1 answer:
Zanzabum2 years ago
6 0

When dividing 250,000 by 100, the digits in the quotient move by 2 places to the right.

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

Here we have , to find out that When dividing 250,000 by 100, the digits in the quotient move how many places to the right . Let's find out:

⇒  dividing 250,000 by 100

⇒  250,000 / 100

⇒  \frac{250000}{100}

⇒  \frac{2500(100)}{100}

⇒  2500

Initially we had 250,000 of 6 digits and now after dividing 250,000 by 100,  we have 2500 of 4 digits ! So , Number of places quotient shift to right is:

⇒ 6-4

⇒ 2

Therefore, When dividing 250,000 by 100, the digits in the quotient move by 2 places to the right.

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)
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So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

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<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

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Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

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subtract 7 from both-side of the equation

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\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

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Cross multiply

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Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

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