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
Ierofanga [76]
3 years ago
15

Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

Step-by-step explanation:

The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:

active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:

325 = .45m and divide by .45:

m = 722.2 mg

You might be interested in
3/4 divided by what equals 12
slavikrds [6]

Answer:

0.05357142

Step-by-step explanation:

5 0
2 years ago
Topic: The Quadratic Formula
Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

x= \frac{-b +- \sqrt{b^2-4ac} }{2a}

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² =  x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\=  -4 or 1

as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\

Because √-7 is not a real number, this has no real solutions. However,

(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions

Finally, for

4x² + 1= 4x,

we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

Then, a=4, b=-4, and c=1, making our equation

x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2

Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution

7 0
3 years ago
this week Rajiv's puppy weighs 8 kilograms. Last week the puppy weighed 6.5 kilograms how much mass in grams did the puppy gains
Olegator [25]

Answer:

1,500 G

Step-by-step explanation:

1 Kilogram (Kg) = 1,000 Grams (G)

8-6.5= 1.5

1.5x1,000=1,500

3 0
2 years ago
The number of students of 7 more than 5 times the number of teacher. there are 12 theacher. how many students are there?
Alborosie

students =7+5*teachers

students = 7+5*12

students = 7+60

students = 67

5 0
3 years ago
A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a green marble, replacing it, and then picking
Klio2033 [76]
You will have one out of 10
8 0
3 years ago
Read 2 more answers
Other questions:
  • I say it is B but want to be sure
    15·1 answer
  • FAST PLEASE‼️‼️‼️ SHOW ALL WORK‼️‼️‼️ EASY‼️‼️‼️‼️
    14·1 answer
  • If x = 4, y = 2 and z = 1 then xz (4y - 2z) is: 861, 24, 46, or 40. Help please.
    12·1 answer
  • Jayla ate 75% of the jelly beans in the bag. If she ate 24 jelly beans how many were in the bag?
    10·1 answer
  • Find the 29th term in the arithmetic sequence: -13, -6, 1, 8........
    12·1 answer
  • The cost of a monthly cell phone plan, in dollars, is modeled by the function c(x)=0.6x+30 where x is the number of text message
    5·1 answer
  • How many degrees<br>in 1/20 of a full turn?​
    14·1 answer
  • Which function is best represented by this graph?
    6·2 answers
  • PQR is an isosceles triangle in which PQ = PR. M and N
    10·1 answer
  • Q15) 1.0 marks<br>Choose the missing term in the below series.<br>26, 37, 50, 65, 82, ?<br>​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!