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Elan Coil [88]
3 years ago
5

A scientist needs 80 liters of a 30% solution of alcohol. She has a 20% solution and a 60% solution available. How many liters o

f the 20% solution and how many liters of the 60% solution should she mix to make the 30% solution?
Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0

Answer:

60 liters of 20% solution & 20 liters of 60% solution

Step-by-step explanation:

80*0.3=.2x+0.6(80-x)

24=0.2x+48-0.6x

-24=0.2x-0.6x

-24=0.4x

24=0.4x

60=x

Hope this helps!! This is step by step btw!

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A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be
babymother [125]

Answer:

The value of the car will be \$4,450.15

Step-by-step explanation:

we know that

11.75\%=11.75/100=0.1175

so

Let

x-----> the value of the car after 11 years

x=\$17,600(1-0.1175)^{11} =\$4,450.15

7 0
3 years ago
Moby practiced solving addition and subtracting problems, but he made a mistakes! Explain any error you find, and include what’s
Maksim231197 [3]

Answer:

3/4 - 5/12 = 4/12 - 5/12 = -1/12

Step-by-step explanation:

Moby's  addition and subtracting problem is as follows: Let us break the problem into solvable parts.

3/4 - 5/12

we will find the common factor of the denominator which are 4 and 12. The common factor is 12. We divide 12 by both denominator and multiply by the numerator .

3/4-5/12 = (9 - 5)/12 = 4/12 . This is his first error . 3/4 - 5/12 is equal to 4/12 not 3/12.

Now let us go to the second part which is the answer minus 5/12

4/12 - 5/12 = (4 - 5)/12 = -1/12

The final answer should be -1/12. This is another error that has been detected.

The correct answer combination should be as follows.

3/4 - 5/12 = 4/12 - 5/12 = -1/12

4 0
3 years ago
What are the solutions to the equation x2−12x+100=0?
marysya [2.9K]

Answer:

x=6+8i

x=6-8i

Step-by-step explanation:

x^2-12x+100=0

solve by quadratic formula.

\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}

\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}

\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}

which is

x=\frac{12+16i}{2}

x=\frac{12-16i}{2}

Simplify.

x=6+8i

x=6-8i

Solved.


Hope this helps.

8 0
2 years ago
What is the slope of the line described by the equation below? y=5x-22
Mrrafil [7]
Straight lines have the general equation, y=mx+c
where m is slope
in this case=5
3 0
3 years ago
Read 2 more answers
A bench is 4 meter long. How long are 5 benches if they are placed from end to end? ​
sineoko [7]

Answer:

20m

Step-by-step explanation:

4 x 5 = 20

therefore the 5 benches are 20m long

3 0
4 years ago
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