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3 years ago

Find the product 1/10 . 4/10

Mathematics

2 answers:

Ilya [14]3 years ago

8 0

When you multiply fractions, multiply the top numbers and then the bottom numbers and then simplify:

1/10 x 4/10

= (4 * 1) / (10*10)

= 4/100

4 goes into 100 25 times so the fraction simplifies to :

1/25

saveliy_v [14]3 years ago

3 0

Answer:

1/25

Step-by-step explanation:

you multiply top and bottom then simplify it

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I have 3 times as much money as my brother. Our total is $24. How much does each of us have?I have 3 times as much money as my b

musickatia [10]

Answer:

Brother's money = $6

Money I have = $18

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

I have 3 times as much money as my brother:

Money I have = 3x

Where x is the money that my brother has:

Brother's money = x

Our total is $24

So, 3x+x =24

Solving for x

3x+x=24

4x =24

x =24/4

x = 6

Replacing with the value of x.

Brother’s money = x = $6

Money i have = 3x =3(6) = $18

6 0

3 years ago

Just a question from a written Unit Test.

Rama09 [41]

Answer:

Step-by-step explanation:

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5 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Select the three ratios that are equivalent to 3 boys/5 girls.

Stels [109]

$\dfrac{3\ boys}{5\ girls}\to\dfrac{3}{5}\\\\\dfrac{8}{10}=\dfrac{8:2}{10:2}=\dfrac{4}{5}\\\\\dfrac{15}{25}=\dfrac{15:5}{20:5}=\dfrac{3}{5}\\\\\dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\\\\\dfrac{30}{50}=\dfrac{30:10}{50:10}=\dfrac{3}{5}\\\\Answer:\\\\\boxed{\dfrac{3\ boys}{5\ girls}=\dfrac{15\ boys}{25\ girls}=\dfrac{9\ boys}{15\ girls}=\dfrac{30\ boys}{50\ girls}}$