How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)

Answers

Answer 1

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)


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Here is a figure made of a circle inscribed in a square. If the area of the square is 100 m 2: (a) What is the length of each side of the square? 10 o m (b) What is the radius of the circle? m (c) What is the area of the circle? ​

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Step-by-step explanation:

3=6

10 gallons equals how many liters

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roll another one

If a2 = 5 and a8 = 35, what is the value of a30?

Answers

Answer:

a(30) = 145

Step-by-step explanation:

a(n) = a(1) + (n-1)d

d = 5

a(30) = 0 + (30-1)5

a(30) = 0 + (29)5

a(30) = 0 + 145

a(30) = 145

Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145

The common difference, d = 35 / 7 = 5

The nth term of an arithmetic sequence is obtained using the relation :

A(n) = a1 + (n - 1)d

a1 = first term

a1 = a2 - d = 5 - 5 = 0

Hence,

A(30) = 0 + (30 - 1)5

A(30) = 0 + 29(5)

A(30) = 145

Therefore, the value of the 30th term of the sequence is 145.

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I don’t know how to do it can someone help me?

Answers

Answer:f(g(0))= 1/5

              g(f(0))= 7

Step-by-step explanation:

for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3

                                                                                                    =3

 so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2

                                     = 1/5

so f(g(0)) is equal to 1/5

Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2

                                                                                               =1/2

now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3

                                                                         = 4+3

                                                                         =7

so g(f(0)) is equal to 7

Hope this helps:)

Why is (-5) to the 28th power positive but without parentheses it is negative?

Answers

Answer:= (10+5^2)*((5*-2)+9-3^3)/2

= (10+25)*((5*-2)+9-3^3)/2

= (35)*((5*-2)+9-3^3)/2

= 35*((5*-2)+9-3^3)/2

= 35*((-10)+9-3^3)/2

= 35*(-10+9-3^3)/2

= 35*(-10+9-27)/2

= 35*(-1-27)/2

= 35*(-28)/2

= 35*-28/2

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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~

Write an equation based on the word problem below and solve it. *
You have $150 in your savings
account. You earn money to
walk your neighbor's dog every
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Answers

Answer:

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Step-by-step explanation:

The equation would be 8m + $150 = $246. To find out how much money you earn a week, you need to solve for m.

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