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3 years ago

Six divided by fivehundredsevenysik

Mathematics

1 answer:

ELEN [110]3 years ago

8 0

I think you mean six-hundred and seventy six.

6 ÷ 576 = 0.010416

or 0.0104166667

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Which is the simplified form of the expression<br><br> 2<br> (2-3)(x+3)(2)<br> (4-2)(x4)(13)<br> ?

Harlamova29_29 [7]

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

4 0

3 years ago

How many integers in the set {n ∈ Z | 1 ≤ n ≤ 700} are divisible by 2 or 7?

sukhopar [10]

$\large\begin{array}{l}\\\\ \textsf{This question gives us a set}\\\\ \mathsf{S=\{n \in\mathbb{Z}:~1\le n\le 700\}}\\\\ \mathsf{S=\{1,\,2,\,3,\,\ldots,\,699,\,700\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 2 (even integers):}\\\\ \mathsf{A=\{n\in \mathbb{Z}:~n=2k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-4,\,-2,\,0,\,2,\,4,\,\ldots\}}\\\\\\ \bullet~~\textsf{Set of integers that are divible by 7:}\\\\ \mathsf{B=\{n\in \mathbb{Z}:~n=7k,\,k\in\mathbb{Z}\}}\\\\ \mathsf{A=\{\ldots,\,-14,\,-7,\,0,\,7,\,14,\,\ldots\}} \end{array}$

___________

$\large\begin{array}{l}\\\\ \textsf{We want to know how many elements there are in the}\\\textsf{following set:}\\\\ \mathsf{S\cap (A\cup B)=(S\cap A)\cup(S\cap B)\qquad(i)} \end{array}$

____________

$\large\begin{array}{l}\\\\ \bullet~~\mathsf{S\cap A=\{n\in\mathbb{N}:~n=2k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap A=\{2,\,4,\,6,\,\ldots,\,698,\,700\}}\\\\ \mathsf{S\cap A=\{1\cdot 2,\,2\cdot 2,\,3\cdot 2,\,\ldots,\,349\cdot 2,\,350\cdot 2\}}\\\\\\ \textsf{So, there are 350 elements in }\mathsf{S\cap A:}\\\\ \mathsf{\#(S\cap A)=350.} \\\\\\ \bullet~~\mathsf{S\cap B=\{n\in\mathbb{N}:~n=7k~~and~~1\le n\le 700,\,k\in\mathbb{Z}\}}\\\\ \mathsf{S\cap B=\{7,\,14,\,21,\,\ldots,\,693,\,700\}}\\\\ \mathsf{S\cap B=\{1\cdot 7,\,2\cdot 7,\,3\cdot 7,\,\ldots,\,99\cdot 7,\,100\cdot 7\}} \\\\\\ \textsf{So, there are 100 elements in }\mathsf{S\cap B:}\\\\ \mathsf{\#(S\cap B)=100.} \end{array}$

____________

$\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}$

If you're having problems understanding the answer, try to see it through your browser: brainly.com/question/2105863

$\large\begin{array}{l}\\\\ \textsf{Any doubts? Please, comment below.}\\\\\\ \textsf{Best wishes! :-)} \end{array}$

Tags: <em>set theory divibilility divisible integers union intersection</em>

3 0

4 years ago

Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7

BigorU [14]

Answer:

$y = -\frac14x + 8.5$

Step-by-step explanation:

Hello!

A linear function is written in the form of $y = mx + b$ , where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

$\frac{9 - 6}{-2 - 6}$
$\frac{2}{-8}$
$-\frac14$

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

$y = mx + b$
$9 = -\frac14(-2) + b$
$9 = 0.5 + b$
$8.5 = b$

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: $y = -\frac14x + 8.5$

6 0

2 years ago

Bernadette works at a Car Lot in Buffalo selling used cars. Each month Bernadette receives $2000 plus she receives a 5% commissi

natta225 [31]

Answer:

The total amount of money Bernadette earned in April was $6200

Step-by-step explanation:

Let us solve the question

∵ Each month Bernadette receives $2000

∵ She also receives a 5% commission for all of her sales

∴ She earns each month = 2000 + 5% of her sales

∵ In April, Bernadette sold $84,000 worth of used cars

→ Multiply it by 5% to find her commission

∴ Her commission = 5% × 84,000

→ Change 5% to decimal by divide it by 100

∵ 5% = 5 ÷ 100 = 0.05

∴ Her commission = 0.05 × 84,000

∴ Her commission = $4200

→ Add her commission to her fixed amount to find her salary in April

∵ She earned in April = 2000 + 4200

∴ She earned in April = 6200

∴ The total amount of money Bernadette earned in April was $6200

3 0

3 years ago

Read 2 more answers

Write 11•47 using the distributive property. Then simplify.

Dennis_Churaev [7]

Distributive property :

a (b+c) = ab + bc

Try writing 47 = 50-3 or 47 = 40+7.

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 = 517

or

11 x 47 = 11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517

6 0

3 years ago