How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?

Answers

Answer 1

Answer: 3 gallons of water

Step-by-step explanation:

3 gallons of alcohol +3 gallons of water = 6 gallons total

alcohol = 3/6 = 50%

Answer 2
Let x=amount of water added.

let 3+x=amount of alcohol and water in 15% solution.

Let 3 gallons of alcohol=percentage of alcohol*volume of solution

3=0.15*(3 + x)

3=0.45 + 0.15x

2.55=0.15x

2.55/0.15=x or 17 gallons of water added=x

Related Questions

You just bought a new laptop and paid an initial payment of $150.00. You will make 12 payments of $69.50. How much will the computer cost if your state charges 6% sales tax on the total sale.

Answers

The computer will cost $924.96 after 6% tax.

Total cost of laptop

The initial payment of the laptop made = $150.00

The remaining balance that would be made = 12 × 69.50

=$834

Therefore total cost of laptop before tax = 834 + 150

= $984

But tax is 6% of total cost =

[tex] \frac{6}{100} \times 984[/tex]

[tex] \frac{5904}{100} [/tex]

= $59.04

Therefore, total cost of laptop after tax = 984 - 59.04

= $924.96

Learn more about costs of products here:

https://brainly.com/question/24494976

A construction crew has just finished building a road. The road is 8 kilometers long. If the crew worked for 3 1/3 days, how many kilometers of road did they build each day? ( Assume they built the same amount each day.) write your answer as a mixed number in simplest form.

Answers

Answer:

They built 2.4 kilometers each day

Step-by-step explanation:

8 divided by 3 1/2

What is z? (I can find x and y, the sides, but not sure how to find z)

Answers

hey I got a question what grade that math from

8≥−6x−x^2
find Inequality for X

Answers

Inequality for X.......:)

6) Suppose you put $200 in a savings account. The account earns simple interest at an
annual rate of 10%. You earned $100 in interest. How many years did you keep the
money in your savings account?

Answers

Answer:  5 years

====================================================

Work Shown:

i = P*r*t

100 = 200*0.10*t

100 = 20t

20t = 100

t = 100/20

t = 5

Read the story. The Bridgetown Youth Group had their annual pancake breakfast yesterday. At the breakfast, there were 5 blueberry pancakes eaten for every 6 plain pancakes eaten. Pick the diagram that models the ratio in the story. If 108 plain pancakes were eaten, how many blueberry pancakes were eaten? blueberry pancakes

Answers

Answer:

90

Step-by-step explanation:

Firstly, you divide 108 by 6, since 108 can't be divided by 5, and 108 divided by 6 gives you 18. Then you multiply 18 by 5, which gives you 90. Boom.

Answer: the answer is 90

Step-by-step explanation:

please help now it kinda important i get it done soon or i cant go to a dance for my school tomorrow. im begging u ill give u 5 stars and a thanks and maby even a showt out thats how much this means to me.

Answers

Answer: 352496

Step-by-step explanation:

First, to find 20% of 440,620, you can multiply:

0.2 x 440,620 = 88,124

Then, to find the new weight of the ship, you can subtract the 20% that was just found (88,124) from the ship's original weight (440,620) to get:

440,620 - 88,124 = 352,496

Therefore, the ship's weight is now 352496.

I hope this helps!

The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 65,000
citizens answered the question, how many chose Dogs or Snakes?

Answers

Answer:

Dogs: 14,300 people

Snakes: 3,900 people

Please help me I will give you brainliest!

Answers

Answer:

data set 1 - y=x*3.5 data set 2 - y=x*3

Step-by-step explanation:

=======

Slope is 3.5 for first one second one is slope of 3

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

A city finds empirically that an automobile going through the intersection of 5th and Main will run a red light sometime during a given day with probability 6.3%. What is the probability that an automobile will not run a red light at that intersection on a given day? Write your answer as a percentage.

Answers

Given that 6.3% will run a red light do (100%-6.3%)=93.7% will not run a red light at that intersection on a given day.

Simplify the expression.

5(10 + g) + 14g + 4
A.
19g + 54
B.
9g + 44
C.
14g + 50
D.
15g + 15

Answers

Answer:

A. 19g+54

let me know if this helps :3

Step-by-step explanation:

Help me please please please . 4 - 2 3/4 please show ur work

Answers

Answer:

[tex]1\frac{1}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]

Step-by-step explanation:

[tex]4-2\frac{3}{4}[/tex]

[tex]4-\frac{11}{4}[/tex]

[tex]\frac{16}{4} -\frac{11}{4}[/tex]

[tex]\frac{16-11}{4}[/tex]

[tex]\frac{5}{4}[/tex]

[tex]1\frac{1}{4}[/tex][tex]or[/tex] [tex]1.25[/tex]

Answer:

[tex]1\frac{1}{4}[/tex]  /1.25  is your answer.

Step-by-step explanation:

[tex]=4-2\frac{3}{4} \\\\=4-\frac{11}{4} \\\\=\frac{4*4-11*1}{4} \\\\=\frac{16-11}{4} \\\\=\frac{5}{4} \\\\=1\frac{1}{4}[/tex]

[tex]1.25[/tex] in decimal form

Hope it will help you.

How does the graph of f(x) = (x − 9)4 − 3 compare to the parent function g(x) = x4?

Answers

Using translation concepts, we have that the graph of f(x):

Was shifted 9 units to the right and 3 units down.

The parent function is given by:

The translated function is given by:

The first transformation was that , thus, it was shifted 9 units to the right.

Then, 3 was subtracted from the function, which means that it was shifted down 3 units.

hope this helps

Mathematics need help with this paper

Answers

Answer:

5. x = 39°

6. x = 46°

7. x = 24°

8. x = 19°

Step-by-step explanation:

5.

Base angles are the same due to it being an isosceles triangle

Sum of angles in triangle = 180°

2x + 2x + (x - 15) = 1804x + x - 15 = 1805x - 15 = 1805x = 195x = 39

6.

Angle VZW and XZW are supplementary, meaning that they add up to 180°

3x + 17 + (x - 9) = 1803x + 17 + x - 9 = 1804x + 8 = 1804x = 184x = 46°

7.

Sum of angles in a straight line add up to 180°

(2x - 4) + (3x + 5) + (2x + 11) = 1802x - 4 + 3x + 5 + 2x + 11 = 1807x + 12 = 1807x = 168x = 24

8.

All angles add up to 90°

x + (x + 4) + (3x - 9) = 90x + x + 4 + 3x - 9 = 905x - 5 = 905x = 95x = 19

-Chetan K

Please help, thanks in advance

Answers

Answer:

D. [tex]\frac{45a^{16}c^{34}}{b^{27}}[/tex]

Step-by-step explanation:

Here you are...

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

PLEASE HELP ASP!!!!!!!!!!!A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and let the variable h represent height in feet.

In how many years will the trees be the same height?

Which system of equations can be used to solve this problem?




{h=1+4th=0.5+6t

{h=4+th=6+0.5t

{h=5th=6.5t

{h=4−th=6−0.5t

Answers

Answer:

4 Years

Step-by-step explanation:

1:0.5 = 2:1

So, every two years, the birch tree grows 1 foot more than the larch tree

Currently, they are 2 feet apart, so in 4 years, they will be the same height

A sleeping bag weighs 6 pounds. Your backpack and sleeping bag together weigh 29 pounds. Use x as your variable to write an equation and solve your equation to determine the weight of your backpack without the sleeping bag.

Answers

Answer:

29 - 6 = x

x = 23

The backpack without the sleeping bag weighs 23 pounds

Step-by-step explanation:

Sleeping bag = 6 lbs

Backpack and sleeping bag = 29

Answer:
29 - 6 = x
x = 23
The backpack without the sleeping bag
weighs 23 pounds
Step-by-step explanation:
Sleeping bag = 6 Ibs
Backpack and sleeping bag = 29

Can someone please help me find out the answer to this question?

Answers

Answer:

A

Step-by-step explanation:

Hello!

The answer is attached with explanation. Please note me if you have any more questions.

Answer:

Letter A.

[tex] {f}^{ - 1} (x) = \frac{ x + 8}{9} [/tex]

Given the lengths of two sides of a triangle, write an inequality to indicate between which two numbers the length of the third side must fall. 8 and 13

Answers

Answer:

13-8<3rd<13+8 so

5<3rd<21

Step-by-step explanation:

The theorem of Angles-Sides Inequalities.

I got this question too in RSM

Answer: 5 and 21

Step-by-step explanation: look below

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 92 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.

Answers

The z score of a student who scores a 92 on the final exam is 2.67.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

Find out more on Z score at: https://brainly.com/question/25638875

Evaluate 7 1/6- 3 5/8

Answers

Answer:

3 13/24

Step-by-step explanation:

hope this helps you!

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{7\frac{1}{6}}\implies \cfrac{7\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{43}{6}} ~\hfill \stackrel{mixed}{3\frac{5}{8}}\implies \cfrac{3\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{29}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{6}~~ - ~~\cfrac{29}{8}\implies \cfrac{(4)43~~ - ~~(3)29}{\underset{\textit{using this LCD}}{24}}\implies \cfrac{172~~ - ~~87}{24}\implies \cfrac{85}{24}\implies 3\frac{13}{24}[/tex]

Player Aled a baseball league in runs batted in for the 2005 regular season. Player B, who came in second to player A, had 18 fewer runs batted in for the 2005 regular
season. Together, these two players brought home 232 runs during the 2005 regular season. How many runs batted in did player A and player Beach account for?
CE
Player A had runs and player B had runs batted in for the 2005 regular season.

Answers

Answer:

ok so we trying to find out how many each batted so lets make this a system of equation

first we now that combined they are 232 so

a+b=232

then we now that b is 18 less then a so

a-18=b

the system of equation is

a+b=232

a-18=b

so we now what b is so we can just plug that in

a+a-18=232

2a-18=232

2a=250

a=125

then we can just plug this back in

125+b=232

b=107

a=125

b=107

Hope This Helps!!!

6.82×105 minus 3.11×104

Answers

Answer:

Simplify the expression.

answer :

392.66

Step-by-step explanation:

Answer:

392.66

Step-by-step explanation:

Our equation at first is (6.82x105) - (3.11x104)

We first multiply 6.82 and 105 and we get 716.1

Now our equation is 716.1 - (3.11x104)

Now we multiply 3.11 and 104 and we get 323.44

We now subtract 716.1-323.44 and we get our final answer of…

392.66!

Please award brainliest if possible!

For homework Sarah had 45 English problems for spring break homework. If she can finish nine problems in an hour, how long will it take her to finish all the problems?

Answers

Answer:

5 hours

Step-by-step explanation:

assuming she works consecutively on these problems. if it takes 9 problems for 1 hour, and there are 45 problems, all that's needed to be done is 45/9, which is 5

Fraction………………..::::::

Answers

Answer:

0.45

Step-by-step explanation:

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{12}{25}\times\dfrac{15}{16}}[/tex]

[tex]\mathsf{= \dfrac{12\times15}{25\times16}}[/tex]

[tex]\mathsf{= \dfrac{180}{400}}[/tex]

[tex]\mathsf{= \dfrac{180\div5}{400\div5}}[/tex]

[tex]\mathsf{= \dfrac{36}{80}}[/tex]

[tex]\mathsf{= \dfrac{36\div4}{80\div4}}[/tex]

[tex]\mathsf{= \dfrac{9}{20}}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{9}{20}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

#14-#19

help would rlly be great! i'm struggling rlly hard

Answers

Answer:

  14. ∠UVS = 63.6°

  15. ∠TWU = 90°

  16. ∠TUV = 116.4°

  17. UW = √111 ≈ 10.5

  18. SU = 2√111 ≈ 21.1

  19. VT = 34

Step-by-step explanation:

The relevant relations for a rhombus are ...

diagonals bisect each other at right angles, dividing the figure into 4 congruent right trianglesthe diagonals bisect the vertex anglesadjacent vertex angles are supplementary

__

14.

Angle UVS is double the measure of angle UVW. 2×31.8° = 63.6°.

  angle UVS = 63.6°

__

15.

As we said above, the angles where the diagonals cross are right angles.

  angle TWU = 90°

__

16.

Angle TUV is supplementary to angle UVS. 180° -63.6° = 116.4°

  angle TUV = 116.4°

__

17.

UW is found using the Pythagorean theorem.

  UW² +TW² = TU²

  UW² = TU² -TW² = 20² -17² = 111

  UW = √111 ≈ 10.536

__

18.

The whole diagonal is twice the measure of half of it. SU = 2×UW

  SU = 2√111 ≈ 20.071

__

19.

The whole diagonal is twice the measure of half of it. 2×17 = 34

  VT = 34

Chase and Sara went to the candy store. Chase bought {6}6 pieces of fudge and {3}3 pieces of bubble gum for a total of ${18.00}18.00. Write an equation using {f}f for cost of fudge and {g}g for cost of gum. (No spaces, just numbers and symbols.)

Answers

6f+3g=18

Hopefully this helps you

If (-3, y) lies on the graph of y = 3^x, then y =

a. -1
b. 1/27
c.-27

Answers

Answer: B

Step-by-step explanation:

Substitute x = -3 into the equation.

y is equal to 3^-3 = 1/27

So the answer is B

please also answer this question

Answers

Answer:

20ft.

Step-by-step explanation:

[tex] {16}^{2} + {12}^{2} = {c}^{2} \\ 256 + 144 = 400 \\ {c}^{2} = 400 \\ c = \sqrt{400} \\ c = 20ft.[/tex]

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