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Kipish [7]
2 years ago
9

A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?

Mathematics
1 answer:
Feliz [49]2 years ago
5 0

Answer:

4000 gm

Step-by-step explanation:

We can use ratios to solve

Change 8 m to cm

8m * 100cm/1m = 800 cm

6 cm             800 cm

-------------  = ------------

30 grams      x gm

Using cross products

6 * x = 800 * 30

6x = 24000

Divide by 6

6x/6 = 24000/6

x = 4000 gm

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What is the sum of an infinite geometric series if the first term is 81 and the common ratio is 2⁄3?
Marrrta [24]

C

the sum to infinity of a geometric series  = \frac{a}{1-r}

where a is the first term and r the common ratio

= \frac{81}{\frac{1}{3} } = 81 × 3 = 243



4 0
3 years ago
Simplify all the ratios. Show your work!
Dmitrij [34]
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4 0
3 years ago
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yKpoI14uk [10]

Answer:

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Hope this helps!

Here is the graph of the equation above:

6 0
2 years ago
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4 0
3 years ago
Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages
frozen [14]

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)

In 10 years sum of their ages is 90

\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)

On solving (i) and (ii) we get

\Rightarrow x=25,y=45

So, the current age of victor is 45 and his daughter is 25

8 0
2 years ago
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