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3 years ago

Calculate the breath of the cuboid if the volume is 18 cubic cm. The height is 2cm and the width is 6cm

1 answer:

8 0

We know that:
$V=w \times h \times b$
Therefor:
$b=\frac{V}{h \times w}$
$b=\frac{16cm^{3}}{2cm \times 6cm}$
$b=\frac{18cm^{3}}{12cm^{2}}$
$b=1\frac{1}{2}cm=1.5cm$

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One canned orange juice is 25% orange juice another is 5% orange juice. How many liters of each should be mixed together in orde

Cerrena [4.2K]

Answer:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

Step-by-step explanation:

For this problem we can work with the concentration of water and orange juice.

Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content

Using the concentration of orange juice we have:

$0.25 X + 0.05 Y = 20*0.08$ (1)

And for the water we have:

$0.75 X + 0.95Y = 20*0.92$ (2)

If we solve for X from equation (1) we got:

$X = \frac{1.6 - 0.05Y}{0.25}= 6.4 -0.2 Y$ (3)

Replcaing equation (3) into equation (2) we got:

$0.75(6.4 -0.2 Y) +0.95 Y = 18.4$

And solving for Y we got:

$4.8 -0.15 Y +0.95 Y = 18.4$

$0.8 Y = 13.6$

$Y = 17$

And solving for X from equation (3) we got:

$X= 6.4 -0.2*17 = 3$

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration

7 0

3 years ago

What is the slope of the line on the graph?

TiliK225 [7]

Answer:The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point.

3 0

3 years ago

Solve for X 5/8 = 15/x show work pls

taurus [48]

5 = 15
---------
8 = x
cross multiply
5x =120
5x÷5 = 120÷5
x = 24

Check
5/8 = 15/24
.625 = .625

4 0

3 years ago

I need help setting up the equations

Ilya [14]

Answer:

Just multiply the number by the percentage.

Step-by-step explanation: