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3 years ago

2 matchsticks have the same length as 3 bottles tops.

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Multiply the ratio by 25 and then you will get 50 matchsticks, and 75 bottle tops :)

You might be interested in

Which expression is a sum of cubes?

erik [133]

we know that

A polynomial in the form $a^{3} +b^{3}$ is called a sum of cubes

Let's verify each case to determine the solution

case A) $-64x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-64=-4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case A) is not a sum of cubes

case B) $-32x^{6} y^{12} +125x^{16} y^{3}$

we know that

$-32=-2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{16}=x^{15} *x=x*(x^{5})^{3}$ -------> is not a perfect cube

$y^{3}= (y)^{3}$

therefore

the case B) is not a sum of cubes

case C) $32x^{6} y^{12} +125x^{9} y^{3}$

we know that

$32=2^{5}$ -------> is not a perfect cube

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

therefore

the case C) is not a sum of cubes

case A) $64x^{6} y^{12} +125x^{9} y^{3}$

we know that

$64=4^{3}$

$x^{6}= (x^{2})^{3}$

$y^{12}= (y^{4})^{3}$

$125=5^{3}$

$x^{9}=(x^{3})^{3}$

$y^{3}= (y)^{3}$

Substitute

$4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}$

$(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}$

therefore

the answer is

$64x^{6} y^{12} +125x^{9} y^{3}$ is a sum of cubes

6 0

3 years ago

Read 2 more answers

Kevin is 333 years older than Daniel. Two years ago, Kevin was 444 times as old as Daniel.

astra-53 [7]

Answer:

Kevin=335.8years old

Step-by-step explanation:

K - D = 333

K - 2 = 400( D - 2 )

333 + D - 2 = 400D - 800

D - 400D = - 800 - 331

- 399D = - 1130

D = 2.8

K = 333 + 2.8

K = 335.8

8 0

3 years ago

Find the area of shaded region in each figure

IrinaVladis [17]

Area of big rectangle = LxW
=18 x 31
= 558 mm squared
area of small parallelogram= b x h
= 13 x 6
= 78 mm squared
area of shaded part = 558-78=480mm squared

6 0

3 years ago

M=-3/2(-5,1) standard form

Stells [14]

Not sure............but i think it is 8x-1y= -11

6 0

3 years ago

A. 33.9 B. 57.7 C. 46.3 D. 85.7

CaHeK987 [17]

The answer is A. Here's how you get it. Law of cosines here looks like this:
17^2 = 22^2 + 30^3 - [2(22)(30)cosA]; which simplifies to 289=484+900-1320(cosA). Doing that math gives you 289 = 1384 - 1320(cosA), and -1095 = -1320(cosA). Divide both sides by -1320 to get
.829545 = cos A. Now use the inverse cosine on your calculator to get the missing angle measure.

7 0

4 years ago