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3 years ago

State when the following equation and inequalities will be true and when they will be false.

Mathematics

1 answer:

Andreas93 [3]3 years ago

7 0

All you need to do is solve it.
36=9k
4=k

so it is true when 4=k and false when k>4 or k<4.

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot

Degger [83]

The number of bottles in a full box is 12.

Explanation

Suppose, the number of bottles in a full box is $x$

So, the number of bottles in three full boxes $=3x$

Now, two more boxes are added, both of which have one fewer bottle than the other three. So, the number of bottles in these two boxes $= 2(x-1)$

As there were 9 bottles initially and now there are 67 bottles in the fridge, so the equation will be....

$9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12$

Thus, the number of bottles in a full box is 12.

7 0

3 years ago

Aboard is 4 ft 8 in long how long is the board in meters

andreev551 [17]

If a board is 4ft 8 in long than it is 1.4224 meters long

3 0

3 years ago

3x+9y=75 8x+5y=67 what is x and y?

slava [35]

There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...

... (x, y) = (4, 7)

_____

You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to

$ax+by=c\\dx+ey=f$

is given by

$x=\dfrac{bf-ec}{\Delta}\\\\y=\dfrac{cd-fa}{\Delta}\qquad\text{where $\Delta=bd-ea$}$

Here, that means

... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4

... y = (75·8-67·3)/57 = 399/57 = 7

_____

A (graphing) calculator greatly facilitates either of these approaches.

8 0

3 years ago

Write the numerical expression to represent the following phrase: Three piles of eight pennies each, with two left over. Calcula

mr_godi [17]

Your answer woild be 3×8+2 and if solved equals 26

7 0

2 years ago

Solve: 6/x + 23 = 1/y for y.

iris [78.8K]

Answer:

$\frac{y}{x} = \frac{6y {}^{2} }{x {}^{2} }$

3 0

3 years ago