1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
10

From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the a

mount of acid in the final mixture as a function of x (B) Determine the domain and range of the function (C) Determine if the final mixture is 50% acid PLEASE EXPLAIN...WILL MARK BRAINLIEST FOR BEST ANSWER
Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Given:

50 liter container

40% concentration of acid

x liters are removed and replaced with 100% acid

(A)

Acid in 50-liter container =  40% of 50 liters

                                          = (40/100) * 50

                                          = 0.4 * 50

                                          = 20

So there are 20 liters amount of acid in 50 liter container.

Now x liters are removed and replaced with 100% acid

The acid in x-liter

40% of x liters = (40/100) * x  = 0.4 * x

When x liters are removed then amount of acid that remained in container:

20 - 40% of x liters = 20 -  (40/100) * x  = 20 - 0.4 * x

This can also be written as:

(50-x) (40/100) =  (40*50/100) - (40*x/100) = 2000/100 - 40x/100 =  20 - 2x/5

Since x liters replaced with 100% acid so this becomes:

20 - 40% of x liters + 100% of x liters

= 20 -  (40/100) * x + 100/100 * x

= 20 - (40/100) x + (100/100)x

= 20 +  (100-40/100)x

= 20 + (60/100)x

= 20 + 0.6 x    

This can also be written as:

20 - 2x/5 + x = 20 + 3x/5 =  20 + 0.6 x

Hence the amount of acid in the final mixture as a function of x:

f(x) = 20 + 0.6 x

(B)

The value of x can not be greater than 50 liters and can not be lesser than 0 liters.  

so, range is [0, 50] where both 0 and 50 are inclusive.  

(C)

Since final mixture is 50% acid So

Acid = 50% of 50 litres =

        = (50/100) * 50

        = 1/2 * 50

         = 50/2

        = 25

Put 25 in the computed function of x

20 + 0.6 x = 25

0.6x = 25 - 20

0.6x = 5

x = 5/0.6

x = 8.333333

x = 8.3 liters

You might be interested in
Is this equation an identity?<br> -7 + 7g = -10 + 7g + 3
djverab [1.8K]

Answer: i dont really know if im right but here! :L

Step-by-step explanation: Now, say G is an Abelian group, finitely generated from generator In this sense abelian groups are “more interesting” than vector spaces. and in the table below, the second last column is the identity, while the last column is cyclic of order 4, with 9g the generator

7 0
2 years ago
What's the slope of (-5, -3) and (5,3)
MAVERICK [17]

Answer:

10/6

Step-by-step explanation:

all you have to do is divide x2 or 5 in this case - x2 or -5 with y2 or 3 - y1 or 3 so it would be

(5--5)/(3--3)

and 2 negatives are a positive so it would turn to

5+5/3+3   or    10/6

please rate 5 stars i would really appreciate it

8 0
3 years ago
Eight less than a number is less than 10
fomenos

Answer:

x - 8 < 10

Then solve for x

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST! (Question below with answers)
Montano1993 [528]
First box, third box, fifth and also sixth =D
8 0
3 years ago
Click on image and answer with explanation.
marshall27 [118]
60% of 90 is 54 by doing 90*60/100
2/3 of 150 is 100 because 150 divided by 3 times 2 is 100
and dawn sold 46 cookies.

if you add all the cookies sold up, you get 200 cookies.
Dawn having sold 46 cookies out of the 200, if you want to have a percentage, you have to change that 200 which is the total into 100.

So 200/2=100 and 46/2=23 

Dawn sold 23 cookies for every 100 cookies sold so 23%
3 0
2 years ago
Other questions:
  • Can someone help me with these two questions I’m 10 points
    11·1 answer
  • a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of
    15·1 answer
  • A small cargo plane currently has 145 pounds of cargo aboard. In addition, n boxes weighing 50 pounds each will be brought aboar
    15·1 answer
  • What is 51-38=8 and 44-38=8?
    10·1 answer
  • Find AD if BD=6 and DC=8
    7·2 answers
  • Plzzzz help !!!! 15 points
    6·2 answers
  • Not sure need help ​
    13·2 answers
  • Describe fully the single transformation that maps triangle A into triangle B
    10·1 answer
  • Calculate the distance between each point to the store. Please help, will give brainliest
    12·1 answer
  • The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. A) What is t
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!