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3 years ago

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

Mathematics

1 answer:

LenKa [72]3 years ago

6 0

Answer:

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

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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
72:9=8 - its how many pounds its in"1"
Finally we can multiply
2*8=16
7*8=56 - its the answer

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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