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
Mumz [18]
3 years ago
7

Jotham needs 70 liters of a 50% alcohol solution. He has a 30% solution and an 80% solution available. How many liters of

Mathematics
2 answers:
Nuetrik [128]3 years ago
6 0

x+y=70. (30x+80y)/(100x+100y)=50/100

lara31 [8.8K]3 years ago
5 0

Answer:

42 liters of 30% alcohol solution will be needed.

28 liters of 80% solution will be needed.

Step-by-step explanation:

Jotham needs 70 liters of a 50% alcohol solution.

Let the 30% solution needed be x.

We get the following equation:

70\times0.5=0.30x+0.80(70-x)

Solving this we get;

35=0.30x+56-0.80x

=> 35=56-0.50x

=> 0.50x=56-35

=> 0.50x=21

x = 42

Hence, 42 liters of 30% alcohol solution will be needed.

And 70-42=28 liters of 80% solution will be needed.

You might be interested in
Solve for x: sinx-cosx=√2
kvv77 [185]
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
 1-1-2sinxcosx=2-1
 -</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1 
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
6 0
3 years ago
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
ser-zykov [4K]

Answer:

Step-by-step explanation:

Part 1:

Let 

     Q₁ = Amount of the drug in the body after the first dose.

     Q₂ =  250 mg

As we know that after 12 hours about 4% of the drug is still present in the body.

For Q₂,

we get:

            Q₂ = 4% of Q₁ + 250

                  = (0.04 × 250) + 250

                  = 10 + 250

                  = 260 mg

Therefore, after the second dose, 260 mg of the drug is present in the body.

Now, for Q₃ :

We get;

          Q₃ = 4% of Q2 + 250

               = 0.04 × 260 + 250

               = 10.4 + 250

               = 260.4

For Q₄,

We get;

          Q₄ = 4% of Q₃ + 250 

                = 0.04 × 260.4 + 250

                = 10.416 + 250 

                = 260.416

Part 2:

To find out how large that amount is, we have to find Q₄₀.

Using the similar pattern

for Q₄₀,

We get;

           Q₄₀ = 250 + 250 × (0.04)¹ + 250 × (0.04)² + 250 × (0.04)³⁹

Taking 250 as common;

           Q₄₀ = 250 (1 + 0.04 + 0.042 + ⋯ + 0.0439)

                 = 2501 − 0.04401 − 0.04

           Q₄₀ = 260.4167

Hence, The greatest amount of antibiotics in Susan’s body is 260.4167 mg.

Part 3:

From the previous 2 components of the matter, we all know that the best quantity of the antibiotic in Susan's body is regarding 260.4167 mg and it'll occur right once she has taken the last dose. However, we have a tendency to see that already once the fourth dose she had 260.416 mg of the drug in her system, that is simply insignificantly smaller. thus we will say that beginning on the second day of treatment, double every day there'll be regarding 260.416 mg of the antibiotic in her body. Over the course of the subsequent twelve hours {the quantity|the quantity|the number} of the drug can decrease to 4% of the most amount, that is 10.4166 mg. Then the cycle can repeat.

3 0
3 years ago
Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile dri
Oksana_A [137]

Answer:

136 miles

Step-by-step explanation:

subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents

which gives you 136 so 136 miles.

Hope this helps :)

8 0
2 years ago
12x+y when x=3 and y=52
telo118 [61]
Substitute

12(3) + (52)

12(3) = 36

36 + 52 = 88
4 0
3 years ago
You can buy 8 apples for $4 how many can you buy for $10
andrey2020 [161]

Answer: 20 apples, because if you say 8 apples=$4, then that means 2 apples =$1, so $10=20 apples


Step-by-step explanation:


6 0
3 years ago
Other questions:
  • Use synthetic division and the Remainder Theorem to find P(a).
    5·1 answer
  • Which is the best definition of a triangle
    13·1 answer
  • What is 99+1 x 4 worth 50 pts
    12·2 answers
  • What number is the product of two different prime numbers greater than 7
    5·1 answer
  • What percentage of 5,000 is 5
    11·1 answer
  • Determine the angle measurements for triangles SUV and WYZ
    5·1 answer
  • 2(5x-1/3)=24x-7(2x+1) which statement about the type of solution is true?
    5·1 answer
  • What is the volume of a sphere of 13cm? using 3.14​
    14·1 answer
  • 3x3-5/5x6+19 i don’t know what I’m don’t wrong
    10·1 answer
  • 1/3... of is 12 plzzzzz help me
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!