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4 years ago

12

Hannah finds purple, blue, and silver space rocks while exploring.

2 answers:

Maru [420]4 years ago

8 0

To answer this, you will determine what fraction of the original rocks are silver by using the information about the other two colors.

If 2/3 of them area purple, than 1/3 are not.

If 3/4 of the remaining 1/3 is blue, than 3/4 x 1/3 = 3/12 of then are blue.

2/3 are purple, 3/12 of them are blue, the remaining is silver,

1 - 2/3 - 3/12
1 - 8/12 - 3/12 = 1/12

1/12 of the rocks are silver. If 3 are silver, write an equation that needs solved.

1/12r = 3
r = 36 rocks

There were 36 space rocks in total.

choli [55]4 years ago

5 0

Answer:

36

Step-by-step explanation:

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MatroZZZ [7]

Answer:

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$\displaystyle A=24x^2$

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When <em>x </em>= 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when <em>x</em> = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

$c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}$

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Jlenok [28]

Answer:

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Step-by-step explanation:

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