All categories

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

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

You might be interested in

A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho

Olenka [21]

Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

= 8.8kg- 2.2kg

= 6.6kg

5 0

3 years ago

Write 2 expressions that represent the areas of 4 triangles

arsen [322]

2-9x and 17x - 8x +2

4 0

3 years ago

describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give th

SSSSS [86.1K]

We have been given a parent function $f(x)=x^{3}$ and we need to transform this function into $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

We will be required to use three transformations to obtain the required function from $f(x)=x^{3}$ .

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to $g(x)=(x-4)^{3}$ .

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes $g(x)=\frac{1}{2}(x-4)^{3}$ .

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

6 0

3 years ago

A survey of 200 families showed that

KengaRu [80]

Answer:

15 is the answer , the total people who has dogs , cats , parakeets and none is equals to <u>185</u> then from 200 you minus 185 which is 15 so 15 people had parakeets only

4 0

2 years ago

Help me please!!!!!!

maks197457 [2]

To find the median, find the middle number. Since there are 10 numbers, find the 5th one and the 6th one and find their average.

The two numbers are both 9, so its safe to say that the median is 9.

to find the median of the first and quartile, you have to place a line where the median should be and find the median of that. Q1 and Q2 will be 5 and 11 (respectively).

Its easy to see that all the lines start at the lowest point given and end at the largest point given, so match Q1, the median, and Q3

The only line that has lines at the Q1, median, and Q3 we figured out is answer C, so therefore it is the answer.

8 0

2 years ago