Mathematics College

How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?

Answers

Answer 1

Answer:  A=3.6

Step-by-step explanation: let A= # of gallons of 30% solution of alcohol

.3A+60(.14)=.2(60+A)

.3A+8.4=12+.2A----->subtract .2A and 8.4 from each side highlight%28A=36%29 gallons of 30% solution of alcohol

Related Questions

Find the value of x.
х
28
45
x=
[?]

Answers

Answer:

x=53

Step-by-step explanation:

One way to solve this problem is by using the Pythagorean Theorem.

This states that the square of one "leg" of the triangle plus the square of the other "leg" of the triangle would equal the square of the hypotenuse,  or the longest side of a triangle. Keep in mind that this only works for right triangles, where one angle  is exactly 90 degrees.

This formula can be written as: a^2 + b^2 =  c^2, where a and b are the legs and c is the hypotenuse.

So, for this problem, let a=28, and b=45.

This gives us: 28^2 + 45^2 = x^2

And we can simplify this to: 2809 = x^2

Taking the square root of both sides gives us the answer,  that x=53 units.

Hope this helps!

Complete the table for y=1/5x+1 and graph the resulting line

Answers

Sorry this is really sloppy but hope this helps!

Answer:

x=-5 y=0

x=0 y=1

x=5 y=2

x=10 y=3

System of inequalities
ASAP I ONLY HAVE 15 MINS WILLING TO GIVE 20 POINTS

Answers

Answer:

y > x - 4

x > 3

Step-by-step explanation:

The system of inequalities need to represent the overlapped, black area, so you need to write an inequality for each of the two lines shown.

To find out whether you should be using a >, <, ≤, or ≥, identify on the graph first:

The vertical line is shaded to the right of the line. The line is also dashed, so it should be a >.

The sloped line is shaded above the line. The line is also dashed, so it should be a >.

Then, find the slopes of the lines.

Refer to the sloped line as Line 1 and the vertical line as Line 2.

The slope of Line 1 is 1. It's y-intercept (where the line crosses the y-axis) is -4.

So: y = x - 4

Replace the = with >.

y > x - 4

Line 2 is unidentified, so you can see that it's x = 3. Replace the = with >.

x > 3

You can always check by plugging in a point from the overlapped area, like (4, 1).

(4, 1)

y > x - 4

1 > 4 - 4

1 > 0

x > 3

4 > 3

These statements are true.

2 log x + log 11
WILL MARK BRAINLIEST

Answers

Answer:

[tex] log(11 {x}^{2} )[/tex]

Step-by-step explanation:

[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]

The Equivalent value of 2 log x + log 11 is log(11x²).

What is Logarithm?

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.

We have to find the value of 2 log x + log 11.

Using the property

log a + log b = log (ab)

and, 2 log a = log a²

So, 2 log x + log 11

= log x² + log 11

= log( x² × 11)

= log(11x²)

Learn more about Logarithm here:

https://brainly.com/question/30085872

#SPJ2

I NEED HELP!!!!!!!!!!!

Answers

Answer:

50-3 x 12 - 9

Step-by-step explanation:

Answer: 50-3 x 12 - 9

Um ônibus escola pode transporta ete 32 alunos quantos ônibus iguais são necessários para transportar 1 120 alunos​

Answers

Answer:

sorry i dont know what the answer is

Step-by-step explanation:

Mr. Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much paint he will need to buy. The wall is 24 feet wide and 12 feet tall. What is the area of the garage wall?

Answers

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

I keep getting the wrong answer. Please help! My answer -2/25h5q3

Answers

Answer:

You've got it right. Unless its because the answer is negative.

Step-by-step explanation:

i'm sorry, hope this helps

Help me out please :)

Answers

Answer:

2$ I think

Step-by-step explanation:

It’s 2 dollars for this

given:<T~=<v;st||uv prove:tu||vw​

Answers

Why be like this? Hm

Answer it fast please​

Answers

The answer is 1

Hope this helped!

0.07776 is the answer

approximately 0.01

Solve for
x
7
(
x
−
2
)
<
2
x
+
3

Give your answer as an improper fraction in its simplest form.

Answers

if you are solving for x your answer would be

x < 17/5

Will and John sell lemonade at a lemonade stand. After an hour, they have taken in $4 for a total of 8 cups of lemonade. What is the unit rate per cup of lemonade?
A.
$0.50 per cup


B.
$2.00 per cup


C.
$4.00 per cup


D.
$8.00 per cup

Answers

Answer:

The answer is A - $0.50 per cup

Step-by-step explanation:

If you divide the $4 by the 8 cups you get $0.50

HELPPPPPP!!!!! Classify each pair of numbered angles.


Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.


Linear pair

Vertical

Adjacent

None of these

Answers

9514 1404 393

Answer:

  1, 2: Vertical

  5, 6: Adjacent

Step-by-step explanation:

Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.

__

Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.

_____

Additional comment

In a polygon, interior angles that share a side of the polygon are also called adjacent angles..

Solve 5x + 2 = 22 please help​

Answers

Answer:

x=4

Step-by-step explanation:

5x+ 2 = 22

    -2      -2

5x= 20

divide by 5 on both sides

x=4

An equation is shown.
30
+
100
o
Use the Add Point tool to show
the value of b on the number
line.

Answers

Answer:

130

Step-by-step explanation:

add 30 to 100 by removing the zeros in 100 and put 30 next to the 1

your welcome

what is 3/8 x 3/2 please

Answers

Step-by-step explanation:

3/8 x 3/2

(3×3)/(8×2)

9/16

Answer:

9/16

Step-by-step explanation:

Ay anyone willing to help me with my work kinda lost

Answers

Okaayyy

Set B has the greater mode

The length of a rectangle is 15 centimeters and the width is 8 centimeters. Which is the perimeter of the rectangle?

Answers

Perimeter is all outside lengths added up. So 8+8=16. 15+15=30
16+30= 46.

5/6 - 1/2 = ?

A. 1/4

B. 1/3

C. 3/4

D. 2/3
​

Answers

5. . 1
---- - -----
6. . 2


5. . 3
----- - -----
6. . 6


5-3
-------
6

2
-----
6


= 1/3

B

The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?

Answers

3.5x8 = 28 grams have a good day

What is the algebraic rule used to create the image?

A. (3x, 3y)

B. (1/2x, 1/2y)

C. (1/3x, 1/3y)

D. (X-4, y-2)

I will give brainliest!

Answers

The answer for this question is c

Which is Q=200p/L solved for p

Answers

Answer:

P = QL/200

Step-by-step explanation:

Answer:
P= QL/200
Step by step explanation:

Find the sum of x + 0 and the opposite of 20

Answers

x+0=x and the opposite of 20 is -20

Use the Distributive Property to expand the following expressions.

a.) 2 ( y + 5x) = _______________

b.) 0.4 ( x + 2) = ______________

Answers

Answer:

Step-by-step explanation:

Distributive property: a(b +c)=(a*b )+(a*c)

a) 2(y + 5x) = y*2  + 5x*2

                  = 2y + 10x

b) 0.4(x + 2) = x*0.4 + 2*0.4

                   = 0.4x + 0.8

a boat travels 438 km in 8 hours with a constant speed, how far can it travel in 5 hours

Answers

Answer:

its the first one

Step-by-step explanation:

pls help i really need it

Answers

Answer:

.................

Step-by-step explanation:

Write an expression showing 5 less than the number

Answers

x-5 is your expression

Answer:

5 < x (number)

Step-by-step explanation:

how do you solve the following problem with a rectangular fraction model ​

Answers

Answer:

1/3 - 1/4 = 1/12Step-by-step explanation:

What is the y-intercept of the following equation? y=2x+5

Answers

5 because y=mx+c or y=mx+b if your american the c is the y intercept
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