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juin [17]
3 years ago
5

Define two variables. Write a system of equations, and then solve.

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Assume that the amount needed from the 5% acid is x and that the amount needed from the 6.5% acid is y.

We are given that:

The volume of the final solution is 200 ml

This means that:

x + y = 200

This can be rewritten as:

x = 200 - y .......> equation I

We are also given that:

The concentration of the final solution is 6%

This means that:

5%x + 6.5%y = 6% (x+y)

This can be rewritten as:

0.05 x + 0.065 y = 0.06 (x+y) ............> equation II

Substitute with equation I in equation II and solve for y as follows:

0.05 x + 0.065 y = 0.06 (x+y)

0.05 (200-y) + 0.065 y = 0.06 (200-y+y)

10 - 0.05 y + 0.065 y = 12

0.015y = 12-10 = 2

y = 2/0.015

y = 133.3334 ml

Substitute with the y in equation I to get the x as follows:

x = 200 - y

x = 200 - 133.3334

x = 66.6667 ml

Based on the above calculations:

The amount required from the 5% acid = x = 66.6667 ml

The amount required from the 6.5% acid = y = 133.3334 ml

juin [17]3 years ago
4 0
Heheifkekdurjejenrnejsufifiejr heyyyy
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goblinko [34]

Answer:

Since this is a multi-part question, just look at the bolded parts under each letter. I hope this helps a bit ;)

Step-by-step explanation:

A)  

All sides of a square are congruent. "s" represents the square's perimeter:

s=4x.

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since the perimeter = 2W + 2L:

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Subtract from both sides:

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Divide both sides:

the length of the rectangle "L"= x +13.

B) Plug 5 into the equations:

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20/4= 5...

It seems (at least to me, feel free to give constructive criticism) that the only logical conclusion is that 5 <u>could</u> be the value of x.

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L=w+13

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2 years ago
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Colleen recorded the type of trees in the woods near her house.She counted 20 trees and 50 maple trees.What is the experimental
natka813 [3]

Answer: The required probability is \dfrac{8}{125}

Step-by-step explanation:

Since we have given that

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Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

total weight is 4 tons.

ratio of weight of truck to weight of coal is 7:5....added = 12

so 7/12 of the total weight is the truck's

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