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blsea [12.9K]
3 years ago
11

Simplify 1/3 - 1/2 + 2/5

Mathematics
2 answers:
Digiron [165]3 years ago
6 0

Answer:

\frac{1}{3}  -  \frac{1}{2}  +  \frac{2}{5}

=  \frac{10 - 15 + 2×6}{30}

=  \frac{10 - 15 + 12}{30}

\frac{-5 +12}{30}

= 7 /30

fenix001 [56]3 years ago
3 0

Answer:

\frac{1}{3}  -  \frac{1}{2}  +  \frac{2}{5}

=  \frac{10 - 15 + 2 \times 6}{30}

=  \frac{10 - 15 + 12}{30}

=   \frac{ - 5 + 12}{30}

=  \frac{7}{30}

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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
PLZ HELP PIC INCLUDED​
Reil [10]

x = # of days

y = total calories

Simba = 1000 + 140x = y

Cuddles = 2650 - 190x = y

Let's set both of these equations equal to each other

1000 + 140x = 2650 - 190x

Add 190x to both sides and subtract 1000 from both sides.

330x = 1650

Divide each side by 330

x = 5

After 5 days, they will be consuming the same amount of calories.

To find out how many calories they will be consuming, let's plug 5 into our Simba equation.

1000 + 140(5) = y

Multiply 140 by 5

1000 + 700 = y

Simplify

1700 = y

They will be consuming 1,700 calories each day.

5 0
2 years ago
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