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3 years ago

You are in your backyard with your pets. In one area, you count 108 legs. You count 41

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

Bunnies= 13 Chickens=28

Step-by-step explanation:

Let's put

x = bunnies------4 legs

y = chickens-----2 legs

x + y = 41----------------x= 41-y

4x+ 2y = 108

replace in 2nd equation

4(41 - y) + 2y = 108

164 - 4y + 2y = 108

2y = 56

y = 56/2= 28

x = 41 - 28= 13

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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

$h=8533.33cm\approx 8533cm$

Therefore, the length of the wire is, 8533 cm

6 0

3 years ago

Please help me thank you

Phantasy [73]

The answer is B. The second one

3 0

3 years ago

Name an outcome that has a probability of 0.5

Lina20 [59]

Answer:

A coin toss

Step-by-step explanation:

if you flip one coin repeatedly like 10 to 10000 it can be 0.5

6 0

3 years ago

The sum of two

sergeinik [125]

Answer:

Step-by-step explanation:

let the two numbers be x,y (x>y)

Then x+y = 16 and x-y = 2

We know that (x+y)^2 - (x-y)^2 = 4xy

So 4xy = 16^2 - 2^2 => 4xy = (16+2)(16–2)

So xy = 18×14/4 = 63

Product of the numbers = 63

8 0

3 years ago

The length of a rectangle is 3 times its width. The rectangle’s width is 4 m.

Anna35 [415]

The area of the rectangle is 48 m

4 0

3 years ago

Read 2 more answers