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3 years ago

Find the sum of all the integers from 1 to 100 inclusive that are not Multiples of 7.

Mathematics

1 answer:

Nonamiya [84]3 years ago

5 0

Step-by-step explanation:

$\text{Denote The sum of all the integers from 1 to 100 inclusive that are NOT multiples of 7 as } S.$

$\text{Denote The sum of all the integers from 1 to 100 inclusive that are multiples of 7 as } P.$

$\text{Denote The sum of all the integers from 1 to 100 inclusive as } Q.$

Then

$\begin{align}S&=Q-P\\&=\frac{100(100+1)}{2}-(7+2\cdot7+\ldots+14\cdot7)\\&=\frac{100(100+1)}{2}-7\cdot\frac{14(14+1)}{2}\\&=4315\end{align}$

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SVETLANKA909090 [29]

If we take 1200 as the 100%, how much percentage is 700 of it?

well $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1200&100\\
700&x
\end{array}\implies \cfrac{1200}{700}=\cfrac{100}{x}\implies x=\cfrac{700\cdot 100}{1200}
\\\\\\
x=\cfrac{175}{3}$

so, (175/3)% or roughly 58.3%

now, how much is (175/3)% of 15000 ?
well, if we take 15000 as the 100%
then $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15000&100\\
x&\frac{175}{3}
\end{array}\implies \cfrac{15000}{x}=\cfrac{100}{\frac{175}{3}}
\\\\\\
\cfrac{15000\cdot \frac{175}{3}}{100}=x\implies \cfrac{5000\cdot 175}{100}=x$

6 0

3 years ago

Can someone please help me

aniked [119]

#1 √ 75

Answer : 5√3 or ≈ 8.66025

#2 √ 48

Answer : 4√3 or ≈ 6.9282

#3 √ 128

Answer : 8√2 or ≈ 11.31371

#4 √ 300

Answer : 10√3 or ≈ 17.32051

~~

#5 √⅔

Answer :

$\frac{ \sqrt{6} }{3} = 0.816497$

#6 √16/4

Answer : 2

#7 √ 6/8

Answer :

$\frac{ \sqrt{3} }{2} = 0.866025$

#8 √27/9

Answer : √ 2 or ≈ 1.73205

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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3 years ago

A group of hickers buys 8 bags of mixed nuts wash bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among

Paul [167]

Answer:

2 1/3 cups

Step-by-step explanation:

The total number of cups of mixed nuts purchased is ...

(8 bags)·(3 1/2 cups/bag) = 8·3.5 cups = 28 cups

When those are shared 12 ways, each share is ...

(28 cups)/(12 shares) = (28/12) cups/share = 2 1/3 cups/share

Each share is 2 1/3 cups.

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3 years ago

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o

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Answer: i think it is 3456

Step-by-step explanation:

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2 years ago

Which equation is an equation of a circle with radius of 10 cm and center at (-3, 6)?

Musya8 [376]

The equation for a circle is
(x-h)^2 + (y-k)^2 = r^2
(-3,6)
-3 is h
6 is k

(x+3)^2 + (y-6)^2 = 10^2
10^2 = 100

(x+3)^2 + (y-6)^2 =100
The answer is B!

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3 years ago