Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. To fill the order how many litres of solution A should be diluted with solution B? (Hint. Assume a 1% solution contains r grams of salt per litre.)

Answers

Answer 1
Let x = volume of saline solution A,
y = volume of saline solution B.

We're going to set up two equations. 
Firstly, x + y = 6. That gives us y = 6 – x     (1)

Second, 0.1x + 0.05y = 0.08•6, 
or 0.1x + 0.05y = 0.48               (2)

Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48

Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4

So we have to use 3.6 litres of solution A and 2.4 litres of solution B.


Answer 2
18/5 (or 3.6) liters of solution A should be diluted with solution B.

Related Questions

Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107

Answers

D.) 1.805 multiplied by 107

What is 3x+15-9=2(x+2) ?

Answers

SOLVING:

3X + 15 - 9 = 2(X + 2)
3X + 6 = 2X + 4
3X - 2X = 4 - 6
X = - 2  ===> The great answer.

TESTING:

[tex]3(-2)+15-9=2(-2+2)\\ \\-6+6=2(0)\\ \\\boxed{0}=\boxed{0}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!

Which symbol correctly compares the two fractions? Use > , < , or =. Enter your answer in the box. 2/4 3/8

Answers

The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8. They are 2/4 and 3/8, respectively.

what are symbols ?

something that represents another item. especially: something tangible that denotes or implies something else that is not itself imaginable or demonstrable. The lion is a representation of bravery. an alternative to a word or combination of words, such as a letter, character, or sign.

given

= 2/4 = 0.5

= 3/8 = roughly 0.37

The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8.

To know more about symbols visit :-

https://brainly.com/question/17310967

#SPJ1

Final answer:

To compare 2/4 and 3/8, simplify 2/4 to 1/2, then convert to eighths, resulting in 4/8. Since 4/8 is greater than 3/8, 2/4 is greater than 3/8.

Explanation:

To compare the fractions 2/4 and 3/8, we need to find a common denominator or convert them to a common form such as decimals.

The simplest way is to notice that 2/4 can be simplified to 1/2.

Now, if we convert 1/2 to eighths, we get 4/8 because we multiply both the numerator and denominator by 4 to get the common denominator of 8 (1 x 4)/(2 x 4) = 4/8.

Comparing 4/8 with 3/8, we can see that 4/8 is larger than 3/8, as 4 is greater than 3.

Hence, the correct inequality symbol to compare 2/4 and 3/8 is ">".

According to the transitive property of inequality which states that if a > b and b > c then a > c, if 4/8 > 3/8 and 2/4 is equal to 4/8, then 2/4 > 3/8.

is it possible for number to be a rational number that is not an integer but is a whole number explain

Answers

see above
let me know if you have any questions :-)

The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.

Answers

Set the following: Length = L    Width = W

The length is twice the width:    L = 2*W     or:  W = L/2

Perimeter: P = 60ft = 2*L + 2*W

Substituting L for W in the perimeter equation gives:

P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L

L = 60ft/3 = 20ft    W=L/2=20ft/2=10ft

Verify result:  Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft

The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2

Hopefully This Helps!!

Final answer:

To find the area of a rectangle when the perimeter is given, determine the dimensions using the relationship between length and width and then calculate the area. In this case, the area of the garden is 200 square units.

Explanation:

The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.

Let the width of the rectangle be x. Therefore, the length is 2x.

The perimeter of a rectangle is given by 2(length + width), which in this case is 2(2x + x) = 60 units.

Solving for x, we get x = 10. Therefore, the width is 10 units and the length is 20 units. The area of the garden is length x width = 20 x 10 = 200 square units.

Alan travels 3/10 of his journey car. 3/20 by bicycle 1/12 by boat and walks the rest what fraction of the journey did he walk? If the journey is 140 km,how many km did he walk?

Answers

The denominators are: 10, 20, and 12
The LCD (lowest common denominator) is 60 as this is the smallest multiple of 10, 20, and 12.

Get each fraction to have a denominator of 60
3/10 = (3/10)*(6/6) = (3*6)/(10*6) = 18/60
3/20 = (3/20)*(3/3) = (3*3)/(20*3) = 9/60
1/12 = (1/12)*(5/5) = (1*5)/(12*5) = 5/60

The fractions 
3/10, 3/20, and 1/12
are equivalent to
18/60, 9/60, and 5/60
in that exact order

Add up the second set of fractions to get
(18/60) + (9/60) + (5/60) = (18+9+5)/60 = 32/60 = 8/15

The result of adding the fractions and reducing leads to 8/15 meaning that Alan takes 8/15 of the journey to use his car, bike and boat

The rest of the journey (7/15) is done walking
Multiply this with the total distance 140
(7/15)*140 = (7/15)*(140/1)
(7/15)*140 = (7*140)/(15*1)
(7/15)*140 = (980)/(15)
(7/15)*140 = (975+5)/15
(7/15)*140 = (975/15)+(5/15)
(7/15)*140 = (65)+(1/3)
(7/15)*140 = 65 & 1/3

The answer as a mixed number is 65 & 1/3
The answer as an improper fraction is 980/15
The approximate answer in decimal form is 65.33 (rounded to 2 decimal places)

Solve for x. -16 = 8x/5
x = 10
x = -10
x = -25

Answers

- 16 = 8x/5

solve equations



step 1 simplify both sides of the equation.

- 16  = 8/5x



step 3 flip the equation

8/5x = - 16


step 3 multiply both sides by 5/8

( 5/8) * ( 8/5x) = (5/8) * ( - 16)

x = - 10


answer x = - 10

Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?

Answers

pat =9
steve = 3
frank = 5 (3+2)
9-5 = 4
answer is 4

Based on the information given, Pat has 4 more cards than Frank.

The number of cards that Pat has = 9 cards

Number of cards that Steve has = 3 cards

Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5

In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:

= Pat's card - Frank's card

= 9 - 5

= 4

Therefore, Pat has 4 more cards than Frank.

Read related link on:

https://brainly.com/question/1902152

find the sum of the first 13 terms in the series -5+1+7...+67

Answers

this is an arithmetic series with common difference 6 

S13  = (13/2)[2*-5 + (13-1)*6)]  =  403

how do you simplify -7 |7|

Answers

Negative 7 times the absolute value of 7
negative times a positive is a negative
so -7*7= -49
The answer is:  " - 49 " .
_____________________________
The problem:  "What is "-7" multiplied by "the absolute value of (7)"?

Note:  The absolute values of (7) = 7 ; that is the absolute values of (positive 7) is:  "(positive 7)" .
__________________________
  So, we are left with:  What is: "-7 " multiplied by  "+ 7" ; 
           {i.e. ,  " (-7)*(7) = ? " } ;
_________________________
The answer is:  " -49 " .
_________________________

The table below show 2 equations. Equation 1: 3x-1=7+2 Equation 2: 2x+1+4=3 which statement is true about the solution to the two equation?

Answers

You have not added your options, so I will just solve and hope that my answer is in your choices.

For the first equation we have:
3x-1=7+2
3x = 7+2+2
3x = 10
x = 10/2

For the second equation we have:
2x+1+4=3
2x = 3-4-1
2x = -2
x = -1

Therefore, there isn't a solution that satisfies both equations. Based on this, this system of equations has no solution.

The answer is d

i hope this helps

Density practice
A gas tank hold 50L. If the density of gasoline is 0.7 g/ml how much mass will the tank of gas have

Answers

the tank of gas will have a density of 35g

How to simplify each expression
2/3(7w + 4) - 1/3 (2w - 1 )

(3-7m) +2(3.5m+ 1)

Answers

  14 w /3  + 8/3  - ( 2/3w  -1/3 )   =  
14w/3  + 8/3 -2/3 w +1 /3 = 

12w /3  + 9/ 3 = 3  ( 4w +3) / 3  =  4w +3  

the second 
 3-7m +7m+ 2 = 5 





The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race.

Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000

(I have no idea how to do this. It's just extra credit but I need it)

Answers

The net amount they raise is the amount they receive minus what they pay in expenses.

They receive:
$10,000 fixed amount in donations
$55 per person

They pay:
$15 per person

If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.

The net amount they raise is amount they receive min us amount they pay:

55x + 10,000 - 15x

which simplifies to

40x + 10,0000

They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.

Now we write the inequality:

40x + 10,000 >= 55,000

Now we solve the inequality for x, the number of entries.

40x >= 45,000

x >= 1125

They must have 1125 or more race entries to raise $55,000.

3(x+1)-2(3x+7) i need help with this question

Answers

First distribute

3x + 3 - 6x - 14

Simplify 

-3x - 11

solve for x

-3x  = 11

-3x/-3 = 11/-3

x = -11/3

hope this helps
3(x + 1) - 2(3x + 7)

3x + 3 - 6x - 14

(3x - 6x) + (3 - 14)

-3x - 11

hope this helped, God bless!

PLease help ME!!!!!!!!!!!!!!!!!!


Conduct a poll of adults and students in your area. Ask them how much time they spend online each week that is not for work or school. Describe how you conducted the poll and record the results of the poll in an organized manner below.

Answers

Most of the adults in my community spend 43% of their time online that is not used for work or school.

And most of the children in my Community spend 53% of their time online without working.

You put $800 in a savings account at 4% annual interest and leave it there for five years. What is the principle?_____

Answers

at the end of five years, you will have made 160 dollars on interest,  a total of $960, because four percent of 800 is 32, and you multiply that by 5 years to get 160.

what is 0.13 +(-5.7)

Answers

The correct answer would be -5.57

David charges $15 plus $5.50 per hour to mow lawns Arie charges $12 plus $6.25 per hour to mow lawns. In what situation is Aries charge greater than or equal to David’s charge?

Answers

Aries's charge will be greater than it equal to David's charge if they are charging to mow for 4 or more hours.

A truck driver drove 120 miles in 1 3/4 hours what is the speed of the truck in miles per hour

Answers

20 would be the correct
answer

its 120mi÷1.75hours=68.6miles per hour

Tony spent $11.52 for some pens that were on sale for $.72 each how many pens did Tony bye

Answers

he will bye 16 pens hope that helps u

Using distributive property solve 4x39=n

Answers

The answer is 156. Hope that helped!!! ;)
The correct answer is 156

Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.

(1, 0)
(0, 1)
(0, -1)
(-1, 0)
(3, 2)
(-2, -4)
(2, 4)
(-4, 2)
(0, 0)

Please help!

Answers

All we have to do, is plug in the ordered pairs, and see which ones are true to the equation. (x,y)

(1,0) After plugging those into the equation we get: 2<-1. this is not true, so this answer is false.

I continued this all the way down the line:

(0,1)= 1<-1 = false
(0,-1)=-1<-1=false
(-1,0)= -2<-1=true
(3,2)=-1<-1=false
(-2,-4)=2<-1=false
(2,4)=2<-1=false
(-4,2)=8<-1=false
(0,0)=0<-1=false

There is only one true ordered pair for this equation:

(-1,0)


find a pair of 3 digit numbers that have an estimated difference of 520

Answers

the answer is 250 and 770

5 less than the quotient of a number and 3 is -7

Answers

[tex] \frac{x}{3} [/tex]  -  5  =  -7  .
____________________________________________
This would be one way to write the expresion/equation; in which "x" represents the unknown number.

Now, to solve for "x" ;
____________________________________________
Given:
____________________________________________
[tex] \frac{x}{3} [/tex]  -  5  =  -7  ;

Add "5" to EACH SIDE of the equation:
_____________________________________________
[tex] \frac{x}{3} [/tex]  -  5  + 5 =  -7  + 5 ;

to get:

[tex] \frac{x}{3} [/tex]  = -2 ;

x = (-2 * 3) ;
_________________________________
x =  - 6 .
_________________________________

It takes 37 pounds of seed to completely play a 4 acre field how many acres can be planted per pound of seed

Answers

4 acres ÷ 37 pounds 
.108 acres per pound

A ball always bounces to 3/5 of the height from which it falls. It falls from a height of 1meter how high will it rise after the second bounce?

Answers

this is the answer check it out
Final answer:

After the second bounce, the ball will rise to a height of 0.36 meter.

Explanation:

To find the height the ball will rise after the second bounce, we can use the given information that the ball always bounces to 3/5 of the height from which it falls. In this case, the ball falls from a height of 1 meter.

For the first bounce, the ball rises to 3/5 of 1 meter, which is 0.6 meter. For the second bounce, the ball will rise to 3/5 of 0.6 meter. To calculate this, we multiply 3/5 by 0.6 meter, which gives us 0.36 meter.

Therefore, after the second bounce, the ball will rise to a height of 0.36 meter.

Henry bought a movie tickets for himself and 6 of his friends.each movie ticket cost $7.85.How much money did Henry spend on tickets?

Answers

$54.95 would be the answer because Henry and six friends would be 7 time the cost of each movie ticket $7.85
Since 7.85*7=54.95 the answer is $54.95

Write using algebra.
If Jim is x years old now, and his sister is twice as old, how old was his sister 7 years ago?

Answers

I think his sister would be 7, 7 years ago but I'm not sure
The answer is 2x-7

And this needs to be 20 characters (so don't mind this)

Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvin's car runs out of gas. He doesn't put on the brakes, so the car keeps rolling for awhile, coasts to a stop, then start rolling backwards. He finds that his distances from the bottom of the hill 4 and 6 seconds after he runs out of gas are 198 and 234 meters, respectively. b.Write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds which have elapsed since he ran out of gas.

Answers

Final answer:

To determine Calvin's distance from the bottom of the hill in terms of the number of seconds since running out of gas, we can use the equation of motion for uniformly accelerated motion.

Explanation:

To write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds that have elapsed since he ran out of gas, we can use the equation of motion for uniformly accelerated motion.

Calvin's initial position at 0 seconds is 114 meters, and his final position at 4 seconds is 198 meters. Plugging these values into the equation:

d = vi x t + 0.5 x a x t²

we can solve for the acceleration, a:

a = (d - vi x t) / (0.5 x t²)

Substituting the values of d = 198m and t = 4s, we get:

a = (198m - 114m) / (0.5 x (4s)²)

After obtaining the acceleration, we can use the equation to find Calvin's distance from the bottom of the hill at any time after running out of gas.

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