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3 years ago

Solve this equation 16(1/4x-1/2)>24-2x

Mathematics

2 answers:

jekas [21]3 years ago

5 0

Answer:

x>14

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4>−2x+24

Step 2: Flip the equation.

−2x+24<−4

Step 3: Subtract 24 from both sides.

−2x+24−24<−4−24

−2x<−28

Step 4: Divide both sides by -2.

−2x−2<−28−2

x>14

castortr0y [4]3 years ago

4 0

Answer:

x > 14

~Hope this helps!!

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3 years ago

Please help with this

omeli [17]

Answer:

$y = \frac{1}{8} x - 3$

Step-by-step explanation:

Formula for straight lines:

$y = mx + b$

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4 0

3 years ago

Use <,>,or= to compare the ratios 36 ? 6 <br> 60 10

katen-ka-za [31]

Answer:

36/60 =6/10

Step-by-step explanation:

36/60 = 0.6

6/10=0.6

4 0

3 years ago

2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.

Savatey [412]

Answer: $\frac{1}{6}$ or $1:6$

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- $V_1$ the volume of one of this cylinders and $V_2$ the volume of the other one.

- $r_1$ the radius of the first one and $r_2$ the radius of the other cylinder.

- $h_1$ the height of one of them and $h_2$ the height of the other cylinder.

Then:

$V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2$

Therefore, you know this:

$\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}$

Simplifying, you get:

$\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}$

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

$\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}$

Evaluating, you get:

$\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}$

4 0

3 years ago