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
tatuchka [14]
3 years ago
5

How many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 40% antif

reeze? Use the six-step method
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.

Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.

Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.

We want the concentration of antifreeze to be 40% in the new solution, so we need to have

(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4

Solve for <em>x</em> :

0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)

0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24

0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18

0.1 <em>x</em> = 6

<em>x</em> = 6/0.1 = 60 gal

You might be interested in
Please answer answer now fast
iren [92.7K]

Answer:

fge or fgc

I think that because its kinda like the same

5 0
3 years ago
Read 2 more answers
What is the answer to <br> 4 - 2 x = 3
jekas [21]

4-2x = 3

-2x = 3-4

-2x = -1

x = 1/2

5 0
3 years ago
Read 2 more answers
Rectangle Given:1=15 m, w=6m,A=​
sashaice [31]

Answer:

90m^2 and 144 m^2

Step-by-step explanation:

Given :

Length of the rectangle (l)=15m

Width of the rectangle (w)= 6 m

Area of the rectangle can be calculated as :

A=l*w\\A=(15)(6)\\A=90 m^2

Now,

Side of square (s)=12 m

Area of the square can be find:

A=s^2\\A=12^2\\A=144 m^2

6 0
2 years ago
which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parall
aleksley [76]

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

We have been given a parallel line with has equation

3x-2y=7

In order to solve this, the slope of the original line.

3x - 2y = 7

-2y = -3x + 7

y = 3/2x - 7/2

thus its slope is 3/2.

thus, the slope of the needed line is 3/2 too.

we know that any line that is parallel to that would have this slope.

So anything is written in the form:

y = 3/2x + b

The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.

Learn more about parallel lines here:

brainly.com/question/13857011

#SPJ4

3 0
1 year ago
5.524(2 significant figures)​
polet [3.4K]

Answer:

5.524 in 2 significant figures rounding the value to 2 non zero numbers.

<em>5</em><em>.</em><em>5</em><em>2</em><em>4</em><em> </em><em>=</em><em> </em><em>5</em><em>.</em><em>5</em><em> </em><em>(</em><em>2</em><em> </em><em>significant</em><em> figures</em><em>)</em>

7 0
2 years ago
Other questions:
  • Solve the literal equation, C = 12h + 4. Justify each step
    5·1 answer
  • Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games Len owns his bowling ball and shoes, so he only
    8·1 answer
  • If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
    14·1 answer
  • Jordan places two boards end to end to make one shelf. The first board is 47-100 meter long.The second board is 5-10 meter long.
    11·2 answers
  • A2 + b2 = c2 If a = 12 and c = 15, find the value of b using the Pythagorean theorem.   b = 399 b = 19.97 b = 81 b = 9
    15·1 answer
  • Kelsey buys 4 packages of juice boxes for a class party. Each pack has 1 point 5 rows with 2 juice boxes in each row. How many b
    9·1 answer
  • PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly!<br><br> No guessing!
    7·2 answers
  • Helppp!!!!! 2 questions answer both
    11·2 answers
  • Solve this and whoever is right I'll mark if I can remeber
    7·2 answers
  • Solve the following equation:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!