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3 years ago

What is the sum of natural numbers less than 200 neither divisible by 3 nor by 5

Mathematics

2 answers:

Sveta_85 [38]3 years ago

8 0

Step-by-step explanation:

The required sum

=(1+2+3+...+199)−(3+6+9+...+198)−(5+10+15+...+195)+(15+30+45+...+195)

=2199(1+199)−266(3+198)−239(5+195)+213(15+195)

=199×100−33×201−39×100+13×105=10732

WINSTONCH [101]3 years ago

6 0

Answer:

10732

So the sum of all natural numbers less than 200 that are divisible by neither by 3 nor by 5 is 10732.

Step-by-step explanation:

Mak brainilist

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A print shop charges a fixed amount per photocopy and gives a 10% discount off the total cost of the photocopies. The total cost

givi [52]

Answer:

the number of photocopies made

Step-by-step explanation:

The wording "a function of <em>the number of photocopies made</em>" tells you that "the number of photocopies made" is the independent variable.

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The wording "y is a function of x" means x is the independent variable.

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3 years ago

X-y=3 in slope intercept form and find x and y intercepts

Dominik [7]

Answer:

x intercept is x=3

y intercept is y=-3

Step-by-step explanation:

We can write this equation in a simpler way to find the values needed. Lets do it. Take:

x-y=3

And sum y in both sides, as we know the equality will maintain:

x-y+y=3+y

x = 3+ y

Now subtract 3 in both sides:

x-3 = y+3-3

x-3=y

So, we can rewrite our equation as y=x-3

The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:

x-3 = 0

If we sum 3 in both sides:

x-3+3=3

x=3

So, x=3 is x intercept

For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:

0-3=y

y=-3

Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.

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3 years ago

A substance with a half life is decaying exponentially. If there are initially 12grams of the substance and after 70 minutes the

dybincka [34]

Answer:

Step-by-step explanation:

Use the half life formula

$N=N_0e^{kt}$ where N is the amount after decay, No is the initial amount, e is Euler's number, k is the decay constant, and t is the time in minutes. For us, the first equation looks like this: