how many liters of a 20% alcohol solution should be mixed with a 50 liters of a 60% alcohol solution to obtain a 30% solution?

Answers

Answer 1
Answer: (0.20*x+50*0.60)(x+50) = 0.30 <=>0.20*x + 30 = 0.30*x + 15 <=> 30 - 15 = 0.30*x - 0.20*x <=> 15 = 0.10*x <=> x = 15*(100/10) <=> x = 150;
Answer 2
Answer: Hope you understand this :)


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Please I need full answer The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is
Let a=x^2+4. Use a to find the solutions for the following equation: (x^2+4)^2+32=12x^2+48. Which one of the following are solutions for x? Select any/all that apply. -8, -2, 4, 0, 2, -4, 8
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The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

Which expression does the graphic represent? 8 positive tiles. 1 tile is crossed out. 7 minus 1 7 minus (negative 1) 8 minus 1 8 minus (negative 1) HELP I NEED AN ANSWER ASAP

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

                       

i just know

8x___=0.24

please help me with this-

Answers

Answer:

0.03

Step-by-step explanation:

8x=0.24

x=0.03

Natural numbers are part of every other category of numbers except?

Answers

Natural numbers are not part of irrational numbers: numbers which can't be described as a fraction of two rational numbers (pi is irrational! and so is e, another number used often in mathematics. )

Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $95. The perm costs twice as much as her haircut and she needs $5 for lunch. How much does the perm cost?

Answers

so perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch

so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60

perm=$60

Jerry makes $40,000 a year working at a nearby factory. He gets two weeks paid vacation per year, plus five other paid holidays. He wants to figure out his per-diem (daily) pay, so he divides 40,000 by 365, which yields $109.59. Is this the correct answer?

Answers

Answer:

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

Step-by-step explanation:

Given is :

Jerry makes $40,000 a year working at a nearby factory.

He gets two weeks paid vacation per year, plus five other paid holidays.

So total paid holidays become = 14+5=19 days

Subtracting 19 from 365 days and assuming that Jerry works for 365 days a year.

We get = 365-19=346 days

So, his per day salary will be = (40000)/(346)= 115.60

Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.

At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.37.7 feet
44.0 feet
75.4 feet
87.9 feet

Answers

we don't need to know the trampoline diameter, it's a trick

the legnth of the metal fram is the circumference
C=pid
d=14
c=14pi
pi=3.14
c=14*3.14
c=43.96
round
C=44

answer is 44 feet

your answer is 44.0 feet