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erik [133]
3 years ago
11

two pens and one eraser cost 35.00 and three pencils and four erasers costs 65.00. find the cost of the pencil and eraser separa

tely.​
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

Step-by-step explanation:

You start with creating let statements.

Let x = the cost of each pencil.

Let y = the cost of each eraser.

Let z= the cost of each pen.

Then, you’d fill in information from the problem.

3x + 4y = 65

2z + y = 35

Now, you’d solve like a system of equations; meaning you can do elimination or substitution.

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Rewrite 81 as 3 to some power.
NikAS [45]
First, let's find all the factors of 81:

81/3=27
27/3=9
9/3=3
3/1=1

So the factors of 81 are 3,3,3,3, (the numbers by which we divided here).

This means we can write down 81 as 3*3*3*3 or 3^{4} - which is the answer to the question! (three to the power of 4)
5 0
3 years ago
A metalworker has a metal alloy that is 15​% copper and another alloy that is 60​% copper. How many kilograms of each alloy shou
coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

<u>Step-by-step explanation:</u>

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

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3 years ago
Help please!!!
a_sh-v [17]

Answer:

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Step-by-step explanation:

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2 years ago
A town has a population of 50,000. it’s rate increase is 8% every 6 months. find the population after 4 years
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82,000 bc 8% of 50,000 is 4000 and 4000 times 8 is 32,000 + 50000
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