Mathematics, 17.09.2019 09:10 tori829

Will give brainliest answer to the most !
i worked this problem out, but i am not sure if i am correct. show your work to the solution. : )
determine the number of gallons of a 60% concentrated solution and the number of gallons of an 80% concentrated solution that are required to make 55 gallons of a 75% concentrated solution.

Answers: 2

Show answers

Answers

Answer from: wazzuphottie1999

13 3/4 gallons of 60% solution41 1/4 gallons of 80% solution

Step-by-step explanation:

I like to use the simple device shown in the attachment to work mixture problems. The source concentrations are listed on the left, and the desired mix concentration is shown in the middle. Differences are taken along the diagonals. Here, those differences are 15 and 5, representing the 3:1 ratio of solutions that is needed in the mix.

That is, 3/4 of the mix will be the 80% solution, and 1/4 of the mix will be the 60% solution. All that remains is to compute the corresponding number of gallons:

60% concentration needed = (1/4) × (55 gal) = 13 3/4 gal

80% concentration needed = (3/4) × (55 gal) = 41 1/4 gal

_____

If you write an equation to find the amount of solution needed, it is convenient to let the variable represent the amount of the higher-concentration solution. This has the effect of keeping the numbers positive as you solve the equation. Here, let x represent gallons of 80% solution, and (55-x) will be the gallons of 60% solution. Then the amount of material in the mix is ...

0.80x + 0.60(55 -x) = 0.75·55

0.20x + 33 = 41.25 . . . . . simplify

0.20x = 8.25 . . . . . . . . . . subtract 33

8.25/0.20 = x = 41.25 . . . divide by the coefficient of x

55-x = 55 -41.25 = 13.75 . . . gallons of 60% concentration

41.25 gallons of 80% concentration are needed, and 13.75 gallons of 60% concentration are needed.

Will give brainliest answer to the most ! i worked this problem out, but i am not sure if i am corr

Answer from: Quest

Hello!

the answer is:

the correct option:

b. $x=2.23$

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

$7^{x}=77$

then, using placing logarith with base 7 on both sides of the equation, we have:

$7^{x}=77log_{7}(7^{x})=log_{7}(77)x=log_{7}(77)x=2.2322$

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

$x=2.23$

hence, we have that the correct option:

b. $x=2.23$

have a nice day!

Answer from: Quest

Well what if i told you it wouldn’t matter, because in the future the pony dies, depending on what choice you make

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:40, brisamauro27

Answer these questions showing your work plz

Answers: 3

continue

Mathematics, 21.06.2019 16:00, mikey8510

Three cylinders have a height of 8 cm. cylinder 1 has a radius of 1 cm. cylinder 2 has a radius of 2 cm. cylinder 3 has a radius of 3 cm. find the volume of each cylinder ( ! : ”0 )

Answers: 3

continue

Mathematics, 21.06.2019 18:00, queenofspades

Saline iv fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. a new supplier sells 500 ml bags for $2 each. the hospital uses about 10,000, 1000 ml bags each month. nurses report that about half of the bags are more than half full when they are discarded. if you are going to use only one supplier, which size bag provides the best deal, and how much will you save each month? compare the cost of the new supplier to the current one.

Answers: 1

continue

Mathematics, 21.06.2019 19:00, ortizprecious5183

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

Answers: 1

continue

You know the right answer?

Will give brainliest answer to the most !
i worked this problem out, but i am not sure if i a...