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KonstantinChe [14]
3 years ago
13

25/6-4x=-9x+5/6 Steps?

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

<h2>X=1.33</h2>

solution,

\frac{25}{6}  - 4x =  \frac{ - 9x + 5}{6}  \\  \: or \:  \frac{25 - 4x \times 6}{6}   =  \frac{ - 9x + 5}{6}  \\ or \:  \frac{25 - 24x}{6}  =  \frac{ - 9x + 5}{6}  \\ or \: 6(25 - 24x) = 6( - 9x + 5) \\ or \: 150 - 144x =  - 54x + 30 \\ or \:  - 144x + 54x = 30 - 150 \\ or \:  - 90x =  - 120 \\ or \: x =  \frac{ - 120}{ - 90}  \\or \:  x =  \frac{4}{3}  \\ x = 1.33

Hope this helps.

Good luck on your assignment.m

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Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 mm^3

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 mm^3

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

                                          $=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

                           $=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

                                     $=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

                                                               = 67.5 mm^3

5 0
3 years ago
The density of titanium is 4.51 g/cm^3
forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

volume = \frac{mass}{density}

From given,

Density of titanium = 4.51 g/cm^3

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }

Now substitute the values into formula:

volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

341.95\ cm^3 =  0.0610237 \times 341.95\ in^3 = 20.86\ in^3

Thus volume of titanium is 20.86 cubic inches

6 0
3 years ago
Chloe is saving for a laptop that cost 580 if She earns $40 each week, how long will it take her to buy the laptop
schepotkina [342]
$580 laptop/ $40 earned a week = about 14.5 weeks to buy the laptop
5 0
2 years ago
£72 shared in the ratio of 2:7
Goryan [66]
To do that we have to add 2+7=9
Next step is to divide 72 by 9
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Finally we can multiply 
2*8=16
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8 0
3 years ago
The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal
Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2)       x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8)  x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)   we can find the distance by substituting the given point coordinates

d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0
3 years ago
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