11. FOUR 4's. Using only four 4's, the operations (+,-, x, +), and parentheses,

Mathematics

1 answer:

Marysya12 [62]1 year ago

7 0

Answer:

see below

Step-by-step explanation:

You want an arithmetic expression using four 4s that evaluates to each of the digits 0-9.

<h3>Expressions</h3>

0 = 4 +4 -4 -4

1 = 4/4 +4 -4

2 = 4 -(4 +4)/4

3 = (4 +4 +4)/4

4 = 4 + (4 -4)*4

5 = (4*4 +4)/4

6 = 4 +(4 +4)/4

7 = 4 +4 -4/4

8 = 4 +4 +4 -4

9 = 4 +4 +4/4

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In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$