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hoa [83]
2 years ago
14

Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue

. If there are 3 silver rocks, how many space rocks does Kenzie have?a
Mathematics
2 answers:
WINSTONCH [101]2 years ago
5 0
Ídek I wish I can help you sorry
Nadya [2.5K]2 years ago
3 0

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

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

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

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

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
3 years ago
It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is
pshichka [43]

Answer:

For question 1 it's B

For question 2 it's C

Step-by-step explanation:

<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>

A+B > C

B+C > A

A+C > B

Let's say that A=22, B=17, C= 14

22+17 > 14       True

17+14 > 22       True

22+14 > 17       True

Therefore, the answer is B

<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>

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140+? = 180

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Therefore, it's C

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Fudgin [204]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Mekhanik [1.2K]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write clear questions in order to get good and exact answers. Here, I'll assume the function as:

f(x)=x^2+2x-16

The y-intercept of a function is the point at which the graph of the function touches the y-axis. This occurs when we set x=0. In other words, we define the y-intercept (let's call it b as:

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