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svlad2 [7]
2 years ago
14

How many gallons of a 12% salt solution should a biologist add to 5 gallons of a 15% salt solution to get a 14% solution?

Mathematics
1 answer:
Zarrin [17]2 years ago
4 0

The volume of the 12% salt solution to be added is; 2.5 gallons.

<h3>Ratio and Proportion of Volume</h3>

Let the volume of 12% required be x and the new volume of the mixture be (x+5).

On this note, it follows that;

  • 12x + 15(5) = 14(5+x)

  • 12x + 75 = 70 + 14x.

Hence, -2x = -5

Divide both side by -2;

  • x = -5/-2

x = 2.5 gallons.

Read more on ratios and Proportions;

brainly.com/question/13513438

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OleMash [197]

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%.

How much will she have in the account after 3 years?

1st year 4200 x 1.023 = 4296.60

2nd year 4296.60 x 1.023 = 4395.4218

3rd year 4395.4218  x 1.023 = 4496.5165

Round to the nearest dollar.

$4497

6 0
3 years ago
Car is moving on a circle on a plane. At time t (seconds), its x-coordinate is given by x(t) = 10 sin(200t + 3) + 30 while its y
Aleks [24]

Answer:

we have centre of circle as (30,40) and radius = 1

Step-by-step explanation:

Given that a car is moving on a circle on a plane.

At time t (seconds),

x(t) = 10 sin(200t + 3) + 30

and

y(t) = 10 cos(200t + 3) + 40

x-30 = 10 sin(200t + 3) \\y-40 = 10 cos(200t + 3) + 40

when we square and add both the equations we get

(x-30)^2 + (y-40)^2 = 1

(since sin square + cos square = 1 always)

i.e. we have centre of circle as (30,40) and radius = 1

3 0
3 years ago
2−b/3=−5/2 what is b? Note: the / is a fraction separation
Rudik [331]

Answer:

I think that the answer is

b = 7

Here is the step-by-step solution.....

 See the attached files for the step-by-step solution...><><

7 0
3 years ago
Read 2 more answers
Help me on this PLEASE i dont have much time What is the simplified form of this expression? 18 ÷ 6 + 8 × 7 – 12 + 8 × 2
LuckyWell [14K]

Hello using PEMDAS I came up with 63

division and multiplication first then add and subtract leaving you with 63

4 0
3 years ago
Read 2 more answers
A man buys a box of 100 apple in a market for $44. He sells all the apples for $0.5 each. What is his profit or loss? Loss =$ 44
zzz [600]

Answer:

Profit = $6

Step-by-step explanation:

The box of apple that the man bought contained 100 apples.

These 100 apples were gotten for $44

Then he sold the 100 apples for $0.5 each.

So sales price = 0.5 * 100 = $50

To know if he made profit or loss.

Sales price - cost price

$50 - $44

= $6

This man made profit of $6 from the sales of the apples from the calculation above.

4 0
3 years ago
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