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
NISA [10]
3 years ago
14

How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

You might be interested in
I don’t know how to do this question
noname [10]
Can you post link cause there’s no question
5 0
2 years ago
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).
kari74 [83]
To get your answer, you will need to find the perpendicular slope for -1/3x which is just the opposite therefore it will be 3x. Your slope is 3x as perpendicular so use this slope to do point slope. Y-1=3(x-2). Distribute y-1=3x-6. Add 1 to both sides. (-1+1) (-6+1)=-5. So your equation in slope intercept form is y=3x-5. Going through the two points.

Hope this helps!
3 0
3 years ago
What is 2 and 3/4 times 4/5. <br><br><br> Please help me
skelet666 [1.2K]
The answer should be 2.2, or as a fraction from 2 and 1/5
as 2 and 3/4 can be changed to 2.75 and 4/5 can be changed to 0.8
4 0
3 years ago
Read 2 more answers
Jacob buys 3 hot dogs and a $1 soda.he spent $5.50 in all.what is the cost of one hot dog?
Margaret [11]
It would be $1.50 because if the soda's $1 then subtract it and divide that by the quantity.
6 0
3 years ago
Read 2 more answers
How do you write the equation of the horizontal line passing through (1,9)?
Leviafan [203]

he equation of any horizontal line is

y = .. a number

The x-value has no effect on the equation or on the line at all, as long as y-value stays the same.

In this case the line passes though the point (−8,9)

which tells us that the y-value we want is 9.

Therefore the equation is y=9

4 0
3 years ago
Other questions:
  • -6k+7k how do I solve this
    9·2 answers
  • What is 35÷110 equal
    8·2 answers
  • ANSWER THIS FOR ME PLEASEEE !!
    14·1 answer
  • If the volume of the gas increased from 600 to 800 in.^3, by how much does the pressure change?​
    15·2 answers
  • HELP PLSSSSSSSS BRAINLIEST WILL BE REWARDED?
    12·2 answers
  • Mitchell has a small bag with 12 M&amp;Ms in it. 5 of the M&amp;Ms are yellow. 2 are green. 1 is orange. 4 is brown. what fricti
    15·1 answer
  • Please help me will mark brainliest
    7·2 answers
  • Find H.C.F of following polynomial expression.<br><br>2x²+4x,2x²-8<br><br><br>​
    12·2 answers
  • Explain why 5x4−6x7+15x4−6x7+1 is considered as a rational function?
    13·1 answer
  • Solve the inequality. -x ≤ 5​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!