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
givi [52]
3 years ago
14

A chemist mixes 50 milliliters of a solution that is 20% acid with 75 milliliters of a solution that is 45% acid. How many milli

liters of acid are in the resulting mixture
Mathematics
1 answer:
natka813 [3]3 years ago
4 0
Answer:
81.25 mL
Why?
Total amount of millilitres: 125 mL
Let x represent the millilitres of acid.
Let a represent the amount of acid in the 50 mL solution.
Let b represent the amount of acid in the 75 mL solution.
This means that x = 125 - (a + b)
So, a = 0.2*50
a = 10
So, b = 0.45*75
b = 33.75
Plug it into our equation;
x = 125 - (a + b)
x = 125 - (10 + 33.75)
x = 125 - 43.75
x = 81.25
Therefore, 81.25 mL of the 125 mL mixture is acid.
Alternate solution:
Let x represent the millilitres of acid.
Let a represent the number of millilitres in the mixture.
Let b represent the percentage of acid in the mixture.
This means that x = b*a
So, a = 50 + 75
a = 125
So, b = 0.2 + 0.45
b = 0.65
Plug it into our equation;
x = b*a
x = 0.65*125
x = 81.25
Therefore, 81.25 mL of the 125 mL mixture is acid.

(Hope this helps)
You might be interested in
Please help with math
Andru [333]

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

6 0
2 years ago
Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.
Sladkaya [172]
Volume of a ball = (4/3)πr³

When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
 Difference = 24416.64 - 7234.56 = 17182.08 cm³

the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>


3 0
3 years ago
Read 2 more answers
Please sketch graph of the function f(x) = |x+2|.
Burka [1]

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

6 0
3 years ago
18s -17s+1=20 solve for s
liubo4ka [24]

Answer:

s=19

Step-by-step explanation:

18s-17s+1=20

s+1=20

s=20-1

s=19

6 0
3 years ago
Read 2 more answers
Please help!!!<br><br> Questions above
alexgriva [62]
The answer for this is (-2,-4) because the x axis is horizontal so it on the other side ( see picture )

4 0
3 years ago
Other questions:
  • Tyler made 9 1/2 cups of lemonade. He offers 3/4 cup serving of lemonade to some relatives at a family picnic.what is the greate
    7·1 answer
  • If x=5 and 5=y, then x=y
    5·1 answer
  • A2+b2=c2 solve for b
    13·1 answer
  • Simplify.<br> (3.8w+ 4) – 1.5w+8<br> 2.3 w+ 12<br> 5.3 w+ 12<br> 2.3 w-12<br> 5.3 w-12
    13·2 answers
  • Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
    7·1 answer
  • Sullivan show complete solution for the following expression<br> log (3x - 5) = 2
    14·1 answer
  • Rewrite the fraction in the sentence below as a percentage.
    13·1 answer
  • HELP I'll DO ANYTHING
    12·2 answers
  • Find x, find jl . any help is deeply appreciated :) !​
    13·1 answer
  • Which measurements could create more than one triangle?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!