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
xxMikexx [17]
2 years ago
10

How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?

Mathematics
1 answer:
Paraphin [41]2 years ago
8 0
X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
You might be interested in
X+3y-xy=3<br> x^2+y^2+xy=3
SVETLANKA909090 [29]

Answer:

Y = 1

Step-by-step explanation:

on a graph this would be a circular shape and y= 1

7 0
2 years ago
El ingreso de una empresa de construcción de obras civiles se estima a través del tiempo de acuerdo con la siguiente función I(t
brilliants [131]

Usando conceptos de funciones cuadráticas, se encuentra que:

  • El máximo ingreso será alcanzado en 6 años.
  • El máximo ingreso será de 800 miles de soles.

La función que estimate el tiempo es dada por:

I(t) = -64 + 288t - 24t^2

Que es una función cuadrática con coeficientes a = -24, b = 288, c = -64.

El año en qué se alcanzará el máximo ingreso es el <u>valor de t de el vertice</u>, o sea:

t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6

El máximo ingreso será alcanzado en 6 años.

El valor del máximo ingreso es el valor de <u>I de el vertice</u>, o sea:

I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}

Entonces:

I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800

El máximo ingreso será de 800 miles de soles.

Un problema similar es dado en brainly.com/question/21434178

5 0
2 years ago
PLEASE HELP! IT'S DUE TODAY!
Darya [45]

Answer:

120 different outcomes, D. (PLZ GIVE BRANLIEST)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
8. Solve the system using substitution. Show all work. (3 points)
Minchanka [31]
Ok. first you have to pick x or y or whatever variable you have and the number multiplied with it has to be the same in each equation but one has to be positive and one negative.
lets pick x

y=-2x+6
3y=x-3/ *2

so the x are positive and negative we have to multiply the equation with 2

y=-2x+6
6y=2x-6

now you have to add the equations. you do that by adding each side of the equatins together like this:

y+6y=-2x+6+2x-6 the x will cancel out

7y=0
y=0

now just go back to one of the previous equations and put the y in it.

0=-2x+6
2x=6
x=3

here you go
3 0
2 years ago
What is a irrational number plus a irrational number?
mixer [17]

Answer: Irrational

Step-by-step explanation:

The sum of a rational number and an irrational number is irrational. The sum of an irrational number and an irrational number is irrational. The product of a rational number and a rational number is rational.

6 0
3 years ago
Other questions:
  • Gabe has an outstanding balance on four different credit cards. Which method of paying off his credit card debt will save him mo
    10·2 answers
  • What does the word oof mean
    12·2 answers
  • Whih of the following is equivalent to (81m^6)^1/2
    8·2 answers
  • Which equation shows that 8 is a factor of 32
    10·2 answers
  • Karen drew triangle with said length 3centimeters
    8·1 answer
  • X divided by 4 = -7 What is x? Show your work​
    10·1 answer
  • Rebecca is on a game show and must choose between door A, B, or C. One of the doors opens to the grand prize. What is the probab
    5·1 answer
  • A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
    12·1 answer
  • Can any equation in point-slope form also be written in slope-intercept form?
    10·1 answer
  • jesse walks 3 miles per hour to school.the school is 1.5 miles away.How long would it take jesse to walk to school
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!