Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.

Answers

Answer 1

Answer:

Number of liters of 30% solution = x = 3.3 liters

Number of liters of 60% solution = y

= 6.67 liters

Step-by-step explanation:

Let us represent:

Number of liters of 30% solution = x

Number of liters of 60% solution = y

Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.

30% × x + 60% × y = 10 × 50%

0.3x + 0.6y = 5...... Equation 1

x + y = 10...... Equation 2

x = 10 - y

We substitute 10 - y for x in Equation 1

Hence

0.3(10 - y) + 0.6y = 5

3 - 0.3y + 0.6y = 5

- 0.3y + 0.6y = 5 - 3

0.3y = 2

y = 2/0.3

y = 6.67 liters

Solving for x

x = 10 - y

x = 10 - 6.67

x = 3.33 liters

Hence:

Number of liters of 30% solution = x = 3.3 liters

Number of liters of 60% solution = y

= 6.67 liters


Related Questions

HELP!!!!!!!!!!!!!!!!

Answers

I think it’s A but if it’s not then try c

Answer:

C. 390 cm²

Step-by-step explanation:

Area of Rectangle: l•w

Area of Triangle: 1/2bh

Rectangle:

20 cm • 15 cm = 300 cm²

Triangle:

1/2(12)(15)

1/2(180)

90 cm²

Entire Shape:

300 cm² + 90 cm² = 390 cm²


Is the figure an example of parallel lines?

Yes, the lines intersect.
Yes, the lines do not intersect.
No, the lines intersect.
No, the lines do not intersect.

Answers

Parallel lines are a pair of lines that do not intersect

Therefore this is not an example of parallel lines because the lines intersect

The answer is C

Answer:

No,the lines intersect

what is x + 15 > 3?

please hurry i need this for a math test and I will give a lot of points

Answers

Answer:

hmm

Step-by-step explanation:

Answer:

x>-12

Step-by-step explanation:

x + 15 > 3 (Group like terms)

x>3-15

x>-12

3. A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d + 0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Answers

Answer:

1.38d

Step-by-step explanation:

How likely is it that the spinner will land on a green space?

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

A hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk. How many teaspoons of cocoa are needed for a batch that uses six cups of milk?

Answers

Answer:

18 tsp of cocoa

Step-by-step explanation:

3 tsp : 1 cup

? tsp : 6 cups

6 / 1 = 6

3 x 6 = 18

Hannah put $2,000 in a savings
account. After 2 years she earned
$180 in simple interest. What was her
interest rate?

Answers

Answer:2000/180=11.11 p

Step-by-step explanation:

mark brainliest

Sponsoring a donkey costs £2 a month. Which calculation will help Beth work out how many years she can sponsor a donkey for with £80. A) 80-2 X 12 B) 80/2 X 12 C) 80/12 ÷ 2. D) 12 X 2 ÷ 80​

Answers

Answer:

B

80/2×12 becouse one year it costs 12×2 since its 12 months .

Katy buys 2 DVDs every 2 weeks. How many DVDs will she buy in 14 weeks?
A. 28
B. 4
C. 56
D. 14

Answers

D. 14

Hope this helps :P
I think the correct answer is D.14

Urgent!
Quadrilateral ABCD is inscribed in the circle. What is the measure of angle C?​

Answers

Answer: 92

Step-by-step explanation: Angles in an inscribed quad are supplementary and add to 360.

First solve for x:

2x+34=180

x = 73

Then, solve for c

3x + 49 + c = 360

3(73) + 49 + c = 360

268 + c = 360

c = 92

Three semicircles are placed in a rectangle, as shown below. The width of the rectangle is 11m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer.

Answers

Answer:

para Es que yo soy español y no te entiendo

Find the sixth term of a geometric sequence with which a, =-3 and r=-2.​

Answers

Answer: 96

Step-by-step explanation: a is the initial term, and r is the ratio by which a increases. Multiplying -2 by -3 five times gives this sequence: -3, 6, -12, 24, -48, 96

I need help please and thank you! :)

Answers

Answer:

Sorry I’m only in 8th grade and can’t figure it out

Step-by-step explanation:

When I am doing exponential functions, amd need to graph, how do I figure out what the points are for f(x)=3(6)^(x-1)-5? The five is not an exponent.​

Answers

Answer:

Attached

Step-by-step explanation:

Which term is not a like term?
A.3x
B.4y
C.7x
D.x

Answers

Answer: B) 4y

Step by step explanation

Please help me out and make sure to show your work! thanks

Answers

Answer:

1075 sq ft

Step-by-step explanation:

There are a few ways to do this but I am only going to show one.

35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075

Solve the following quadratic equation
(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17

Answers

the answer is A. x=19 and x=17

To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:

Taking the square root of both sides gives us:

x - 18 = ±√1

Simplifying the square root of 1, we have:

x - 18 = ±1

Now, let's solve for x by considering both the positive and negative cases:

Case 1: x - 18 = 1

Adding 18 to both sides:

x = 1 + 18

x = 19

Case 2: x - 18 = -1

Adding 18 to both sides:

x = -1 + 18

x = 17

Leading to our final correct answer is:

A. x = 19 and x = 17

ヾ(•ω•`)o

Solve for x in the diagram * 10 POINTS HELP*

Answers

Answer:x+42+3x = 90

Combine like terms:

3x+x = 4x

42+4x = 90

Subtract 42 to both sides

90-42 = 48

Divide 4 by 48

48/4 = 12

X = 12

100% right

Step-by-step explanation:

Estimate the circumference of the following circles:
d = 10cm
r = 7 cm
d = 15 m

Answers

Answer:

43.98

Step-by-step explanation:

Circumference= 2πr

so it would be 2x3.14x7=43.98

Answer:

1. 31.42cm

2. 43.98cm

3. 47.12cm

Step-by-step explanation:

Multiply the diameter by pi,

Since the radius is just half of the diameter, make it 14 then multiply by pi

X =(5x - 10)
130°
Find x

Answers

Answer:

Step-by-step explanation:

5x-10  = 180-130

5x-10 = 50

5x = 60

x = 12°

Please. I’m begging for help. I have no idea what to do. Could you possibly explain on how to do it

Answers

99% sure this I correct
8-6=2
6/15=2/a
a=15•2/6
a=30/6
a=5

X=a+15
X=5+15
X=20

Find the area of the circle. Round your answer to the nearest hundredth.
2 cm

Answers

Answer:

12.57 if 2cm is the radius,

3.14 if 2cm is the diameter

Step-by-step explanation:

If the radius 2cm

A = πr^2 = π·2^2 ≈ 12.56

If the diameter 2cm

A= πr^2 = π·1^2 ≈ 3.14

Help this is due tonight.
What is 4x + 3y = -20 and x - 3y = -20
PLZ HELP

Answers

Answer: y= - 4/3 x - 20/3

1/2x+4=9 solve for x.. Help?

Answers

Answer:x=10

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

Step 2: Multiply both sides by 2.

Answer: x=10

Step-by-step explanation:

1/2x+4=9

      -4  -4

1/2x=5

multiply by 1/2 on each side

x=10

ANSWER QUICK PLEASE!!

The horizontal axis found on the coordinate plane is the y-axis.

true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

false! y-axis is up and down. x-axis is side to side

Step-by-step explanation:

4. What method can be use to prove the triangles below are congruent?

(look at the photo for answer options)

Answers

Answer:

congruent by Angle Angle Side (AAS)

If my answer is right then please follow me

need followers :-)

I WILL GIVE U BRAINLYIST FIRST TO ANSWER RIGHT

Answers

Answer:

D

Step-by-step explanation:

Its D because thebsample of 2 is noticed

If 20% of a number is 60 and 55% of the same number is 165, find 75% of that
number.

(Please be quick :) )

Answers

Answer:

300

Step-by-step explanation:

hope this helps!!!!

Answer:

225

Step-by-step explanation:

Hope this helps:)

If a ship had 1500 boars, what is the age of captain??​

Answers

Answer:

At least 24 (if started around 19) or 23 (if started internship around 18)

[ results are only if the boars are dead and the ship's capacity is closest to the TEU ]

Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?

Answers

Answer: C 3a^4

Step-by-step explanation:

I just took the test

The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.

What is vertical method to multiply?

The vertical method to multiply is one of the simple method to perform multiplication operation.

In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.

The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.

               [tex]4a^3+3a^2-2a+1[/tex]

                     X   [tex]a^2-2a+3[/tex]

______________________

+              [tex]12a^2+9a^3-6a+3[/tex]

   [tex]-8a^4-6a^3+4a^2-2a[/tex]

[tex]4a^5+3a^4-2a^3+a^2[/tex]

_______________________

[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]

This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,

[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]

Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.

Learn more about the vertical method to multiply here:

https://brainly.com/question/12709314

#SPJ2

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