MATHEMATICS HIGH SCHOOL

A pool company claims that for optimal results customers should use 20 cups of 73% chlorine solution to treat their pools unfortunately the company only has an 80% chlorine solution and a 60% chlorine solution In stock how many cups of Each chlorine solution should be mixed to create the optimal solution?

Answers

Answer 1

Answer:

Answer:

13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution

Step-by-step explanation:

The pool company recommendation is 20 cups of 73% chlorine to treat their pool

Concentration of chlorine solution in stock = 80% and 60%

Therefore to make 20 cups of 73% solution, we require;

X cups of the 80% chlorine solution and

Y cups of the 60% chlorine solution

That gives 0.8·X + 06·Y = 0.73 × 20

X + Y = 20

Solving gives X = 13 cups

and Y = 7 cups

Therefore to make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.

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What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction?StartFraction 2 over 9 EndFraction
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StartFraction 9 over 2 EndFraction
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I NEED HELP QUICK!

Answers

We have been given an equation $(x)/(y)=(2)/(9)$ . We are asked to find constant of proportionality from our given equation.

We know that two directly proportional equations are in form $y=kx$ ,where y is directly proportional to x and k is constant of proportionality.

Let us rewrite our given equation by cross multiplying as:

$2y=9x$

Now we will divide both sides of equation by 2.

$(2y)/(2)=(9x)/(2)$

$y=(9)/(2)x$

We can see that our equation is in form $y=kx$ and constant of proportionality is $(9)/(2)$ .

Answer:

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Picture:

Write a subtraction problem involving regrouping that has ted reading 304 pages. Answer your question

Answers

how many pages had Ted read if the book has 502 pages, and he has 198 left to finish?

Construct a polynomial function with the following properties: fifth degree, −2 is a zero of multiplicity 2, 4 is the only other zero

Answers

5th degree means highest power is 5 total

zeroes/roots are
(x-r)
so -2 is a root
(x-(-2))
(x+2) is a root
multiplicity 2 means it happens 2 times ie
(x+2)^2
e
4 is the only other zero
(x-4)

so now we have
(x-4)(x+2)^2
but that is only 3rd degreed
I could add 2 more degrees that are complex roots and therefor won't be graphed on the plane since they are complex so
find a 2nd degree polynomial that has only complex roots
a complex 2nd degree polynomial
x^2+x+10

ok so this is the function
f(x)=(x-4)(x+2)^2(x^2+x+10)

What is the range and domain of the function : y= sqrt(x) -5 ... Can you please explain? Thanks btw the square root is only over the x

Answers

Domain of $√(x)$ - 5 : x ≥ 25 .

Range of √x - 5 : y ≥ -5 .

Given,

f(x) = √x - 5

Here,

To find the domain,

√x - 5 ≥ 0

√x ≥ 5

Squaring both sides ,

x ≥ 25 .

Thus domain of √x - 5 is x ≥ 25 .

Range of √x - 5,

To define the range of the function the value of x can not be negative as it will make the function complex .

So,

Range will be ,

y ≥ -5 .

Know more about domain and range,

brainly.com/question/30133157

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okay so basically domain =input and range =output. you can never have a negative number underneath the square root sign because it will make the answer imaginary (i), unless you are on that concept. Therefore the range is any number greater than 0. -> all real numbers greater than or = 0

for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5.

A country has a population of about 69 million people and an area of about 2.34 million km^2. What is the population density of the country?