How much water be added to 3 gallons of pure alcohol in order to obtain a solution that is 15% alcohol?

Answers

Answer 1
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

28 less than twice a number is equal to the number. What is the number?

Answers

Answer:

x = 28

Step-by-step explanation:

2x - 28 = x

-2x         -2x

- 28 = - x

/-x       /-x

28 = x

x = 28

Please please help f(x)7x1/5+6

Answers

Answer:

third answer

Step-by-step explanation:

solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x

Identify a numerator that will make the number
sentence true.
3x blank/fifth=3

Answers

Answer:

Answer is 5

Step-by-step explanation:

You say 3 divided by 3 /5 = 5

Hope answer helps you

please help! thanks in advance!

Answers

It would help to know the answer choices.

But, as an inequality the domain in -5

E Homework: 2.3 Linear Inequalities
Question 14, 2.3.101
Part 1 of 2
Assume that in 2005 consumers used credit and debit cards to pay for 43% of all purchases. This percentage is projected to be 58% in 2011.
(a) Find a linear function that models the data, where x is the year and P(x) is the percentage.
(b) Estimate when this percentage was between 48% and 53%.
(a) P(x) =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Linear functions are functions that change at a constant rate

The linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

The equation of the linear function

From the question, we have the following ordered pairs

(x,P(x)) = (2005,43%) and (2011,58%)

Start by calculating the slope (m)

[tex]m = \frac{P(x2) - P(x1)}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{58\% - 43\%}{2011 - 2005}[/tex]

Evaluate the differences

[tex]m = \frac{15\%}{6}[/tex]

Evaluate the quotient

[tex]m = 2.5\%[/tex]

The linear function is then calculated as:

[tex]P(x) = m(x - x_1)+ P(x_1)[/tex]

So, we have:

[tex]P(x) = 2.5\%(x - 2005) + 43\%[/tex]

Rewrite as:

[tex]P(x) = 0.025(x - 2005) + 0.43[/tex]

This gives

[tex]P(x) = 0.025x -50.125 + 0.43[/tex]

[tex]P(x) = 0.025x -49.695[/tex]

Hence, the linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

Julia pays $4.56 to ship a package that weighs 8 ounces. What is the cost to ship one ounce?

Answers

Answer:

1.7543859649. . . . . . . .. .

Answer:

$0.57

Step-by-step explanation:

$4.56/8 = 0.57

so the cost to ship one ounce is $0.57

Verify trigonometric identiy

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²Θ = 1 - sin²Θ

Consider the left side

sin²Θ - cos²Θ

= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1

= sin²Θ - 1 + sin²Θ

= 2sin²Θ - 1

= right side , thus verified

Ted is installing lighting in a new block of 12 apartments . He will need 60 metres of cable for each apartment. Each mew spool holds 100 metres of cable . What is smallest number of new spools that Ted will need for his job

Answers

Answer: 8 spools

Step-by-step explanation:

There are 12 apartments, and each apartment will need 60 meters of cable, so 12×60= 720 meters of cable needed.

If each spool only has 100 meters and he needs 720 meters, then 720÷100= 7.2. So he would need to purchase at least 8 spools, and will have 80 meters left over.

nee answer asap plz im stuck
Which point represents the least value on the number line?

Answers

So basically since they are all negative you would go down and count to see which point is higher since it’s a negative and that would be Point H -3 1/2

Which measurement is a reasonable length for 3 new pencils laid end-to-end?
A) 3 inches
B) 18 inches
C) 13 feet
D) 8 feet

Answers

Feet and Yards. A ruler is equal to 12 inches or 1 foot. A yard is equal to 3 feet. A yardstick equals 3 rulers. Use rulers to

NEED HELP!!
can someone please help me this work? I am so confused with this math problem. Thank you

Answers

Answer:

SOH CAH TOA

Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.

Opposite & Hypotenuse - Sin

Sin(45) = O/H

Sin(45) = O/4

x 4 both sides, to get Opposite

Opposite = 4 x Sin(45)

= 2 root 2

= 2.8284.......

Big Triangle next,

Opposite is 2.8284......

Y is the adjacent

Opposite & Adjacent - Tan

Tan (30) = O/A

Tan(30) = 2.8/A

x A

A x Tan(30) = 2.8

÷Tan(30)

A = 2.8 ÷ Tan(30)

A= 2 root 6

A= 4.8989...

So, y is 5 to 1 significant figure

Or

Y = 4.9 to 1d.p

(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)

Hope this helps!

.
Solve the equation -8(x + n) = x for n.

Answers

Answer:

-x/8 - x

Step-by-step explanation:

Answer:

n = -(9/8)x

Step-by-step explanation:

Solve for n:

-8(x + n) = x-8x - 8n = x-8n = 9xn = -(9/8)x

-Chetan K

What is the total amount that Matthew’s bank will receive after lending him$8,000 for four years at an interest rate of 6 percent, compounded annually?

Answers

It would be $10,099.82
A=8000(1+0.06/1)^4•1

Your family is going on vacation to Disney. It will cost your family $987 to travel there, plus $150 per day for tickets into the park. What is the greatest number of days you can stay at Disney while staying within their $3500 budget?

Answers

Answer:

They can stay 16 days.

Step-by-step explanation:

3500 - 987 = 2,513

2,513 divided by 150 = 16.7

*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*

Checking answer:

16 x 150 = 2,400

2,400 + 987 = $3,387

- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!

Step-by-step explanation:

Equation: 987 + 150x = 3500

x represents the number of days the family is staying at the park.

Solve.

Subtract 987 from both sides:

[tex]150x = 2513[/tex]

Divide each side by 150:

[tex]x= 16.75[/tex]

16.75 is decreased to 16, it's impossible to stay for 16.75 days.

The family can stay in the park for 16 days.

the Sims family drove 5 miles to the store and 3 miles to their grandparent's house. How
many yards did they drive in all?

Answers

Answer:

yards: 14080

miles: 8

that's basically it

Answer:

14080 yards

Step-by-step explanation:

A yard is 1/1760 mile, meaning 1 mile = 1760 yards.

5 miles + 3 miles = 8 miles

8 miles to yards = ?

8 x 1760 = 14080.

The Sims family drove 14.08k yds or 14080 yards.

Chad used a number line to show the distance from the library to his house and the distance from the library to Kelli's house. How much farther is Chad's house than Kelli's house from the library? A number line from 0 to 1 is divided into 8 equal parts. Library is at 0, Kelli's House is at four-eighths, and Chad's House is at seven-eighths on the number line.

Answers

Chad's house is 3/8 units farther away than Kelly's house.

How to use the number line?

By reading the number line, we can see that:

Library = 0Kelli's House = 4/8Chad's House = 7/8.

These fractions are the positions of each location. We want to find how much farther is Chad's house than Kelli's house from the library, this is given by:

(Chad's house position - library position) - (Kelli's house position - library position)

Writting the fractions, we get:

(7/8 - 0) - (4/8 - 0)  = 3/8

So Chad's house is 3/8 units farther away than Kelly's house.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer: 3/8

Step-by-step explanation: 7/8 -4/8 equals 3/8

The water pipe of a house was leaking gallons of water per minute. What is the constant rate of water that is lost per minute according to the graph?

Answers

3 gallons per min. On the graph it shows 6 gallons every 2 minutes so if u simplify its 1/3

A tank has length 6m, breadth 5m and height 3m.Find the volume of the tank.If it is full of water, Find the volume of water in litres.​

Answers

Solution:

Given:

Volume of tank = Length x Breadth x HeightLength = 6mBreadth = 5mHeight = 3m

Let's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.

Volume of tank = Length x Breadth x Height=> Volume of tank = 6 x 5 x 3=> Volume of tank = 90 m³

Now, let's convert meters into liters.

1 cubic meter = 1000 liters=> 90 m³ = 1000 x 90=> 90 m³ = 90000 liters

Hoped this helped!

A triangle has a perimeter of 66 feet. If the three sides of the triangle are n, 3n+3, and 4n - 9, what is the length of each side?
Separate multiple entries with a comma.

Answers

Answer:

9, 30, 27

Step-by-step explanation:

To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.

So, we must add the sides to get 66 feet.

n+3n+3+4n-9=66

Combine like terms, and solve:

(n+3n+4n)+(3+-9)=66

8n+-6=66

8n-6=66

n=9

So if n=9, we can easily find the value of the other sides.

3(9)+3=30 feet.

4(9)-9=27 feet

So, the sides are 9, 30, and 27 feet (in order).

You have $50 in savings. Two months later, you have $80. After the third month, you have $95. You plan to continue to save the same amount each month. What will be in saving after 12 months?

Answers

Answer:

230

Step-by-step explanation:

multiply 12 by 15 and add it onto the 50 to get your answer!

Have a good day!

Express alphabetically: Double the sum of p and q

Answers

Answer:

that would be:::

2(p+q)

2) What is the most precise name for a quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), D(5,2)?
parallelogram
rhombus
quadrilateral
rectangle
3) What is the most precise name for a quadrilateral ABCD with vertices A(4,4), B(5,8), C(8,8), D(8,5)?
square
rhombus
kite
parallelogram

Answers

Answer:

2 rhombus

3 parallelogram

help me with this pleasee

Answers

Answer: (0,4) (1,20)

Please solve for brainliest.

Answers

Answer: The first four terms are 33/4, 63/8, 15/2, and 57/8.

Step-by-step explanation: To make it easier, turn 8 1/4 into an improper fraction: 33/4. 33/4=66/8. Because the denominator is the same, it’s easier to subtract.

66/8 - 3/8 = 63/8

63/8 - 3/8 = 60/8

60/8 - 3/8 = 57/8

The first 4 terms in the sequence are 66/8, 63/8, 60/8, and 57/8. But we’re not done b/c we need to simplify. That means the first four terms are 33/4, 63/8, 15/2, and 57/8.

Need help with homework

Answers

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

2.2,
Write the ratio 1 2/3: 2 2/3 in the simplest form.
,

Answers

Answer:

1:2

Step-by-step explanation:

this would be the answer as 1 2/3: 2 2/3 are the same as 1:2 if you cancel out the 2/3 from both sides.

Answer:

5 : 8

Step-by-step explanation:

1 [tex]\frac{2}{3}[/tex] : 2 [tex]\frac{2}{3}[/tex] ( change both mixed numbers to improper fractions )

= [tex]\frac{5}{3}[/tex] : [tex]\frac{8}{3}[/tex] ( multiply both parts by 3 to eliminate the fractions )

= 5 : 8

What is an equation of the line that passes through the points (-4, -2) and (-8, 3)?

Answers

Answer:

[tex]y = -\frac54x -7[/tex]

Step-by-step explanation:

Slope:

[tex]\frac{3 - (-2)}{-8 - (-4)}[/tex][tex]-\frac{5}{4}[/tex]

Y-intercept:

[tex]y = -\frac54x + b\\[/tex][tex]-2 = -\frac54(-4) + b[/tex][tex]-2 = 5 + b[/tex][tex]b=-7[/tex]

y = -5/4x -7

-Chetan K

find the gradient of the line -

3 - -2/ -8-4 = 5/-12

then sub this value into y=mx+c

y=(5/-12)x + c

then sub in one of the given coordinates

3 = (5/-12)(-8) + c

c= 3/ (5/-12 x -8)


Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.

100 – (12(3x))
100 – (3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 – (x+x+x) – 12

Answers

Answer:

B, C, E

100 - (3x+12)

(100 - 12) - 3x

100 - (x+x+x) - 12

Step-by-step explanation:

they are all saying the same thing, just rearranged and the last one is 3x expanded

help geometry test is coming up and teacher hasn’t taught anything yet,(80% of grade)

Answers

Answer: I think it’s 647.96

Step-by-step explanation:

warning: this is not the exact value (it’s rounded)

First you find the height of the traingle

To do that, do pythagoras theorem

square root 36 squared minus 25.5 squared

then use formula for area of a triangle

work out the area of the shape

Answers

Answer:

45cm^2

Step-by-step explanation:

we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together

finding the area of a square

we have area= s×s

area = 7×5

area = 35cm^2

finding the area of a triangle

1/2 ×b×h

1/2×4×5

area = 10cm^2

so we add together

total area = 35+ 10

area = 45cm^2

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The magnificent creatures appeared in storybooks I read in the library, paintings I saw in museums, movies I watched in the theater, and the dreams I had in my sleep. By the time I was thirteen, one question consumed me. I wanted to know if dragons ever existed, so I set out on a quest for facts.2As I started my research, I discovered many skeptics. Scientists presented evidence to show why dragons could notand did notexist. They explained that it would be impossible for dragons to fly because they would be too big. They laughed at the idea of dragons breathing fire. They pointed out that no other animal has ever done this. They said that if dragons had lived, someone would have found remains somewhere in the world. No bones about it, there were plenty of logical explanations. It would have been easy for me to accept that the only place dragons ever existed was in the imaginations of those who believed.3I could have given up, but I thought about my grandmother. 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