How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ solution?

Answers

Answer 1

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer 2

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution


Related Questions

How much do $10 pieces of candy cost if 1000 pieces cost $20

Answers

Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

what number is farther away from 2,300? -125 or -220
subject: math

Answers

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Clarisse is selling lemonade in her front yard for $0.50 per glass. Each glass is 1/8 of a pitcher. How much money can she make if she sells 5 pitchers?

Answers

Answer:

$20

Step-by-step explanation:

0.50×8=4

4×5=20

50 cents per 1/8 of a pitcher so that would mean that 2/8 or 1/4 would be a dollar and if you keep going like that you will get to 4, then you multiply 4 and 5 to get 20.

Can I please have brainliest?

Convert 6.350 to a fraction

Answers

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]


It’s buggy but I need help on this question here

Answers

The answer is A, associative property of addition

Help please!! Branniest answer will be given!

Answers

Answer:

30

Step-by-step explanation:

area of triangle 1/2 b×h

1/2 10×6=30m^×

Mark me brainliestt

Which functions have zeroes in their domains? Need help ASAP. please and thank u :))))))

Answers

I use a app on my phone called (photòmath) and it helps so much.

Help Y:_,_ X:_,_ / Can someone explain

Answers

Okay, so you’re finding the slope so
mx+b
You’ll take the y coordinate 2 and subtract it from y coordinate 1
Then you’ll take x coordinate 2 and subtract it from x coordinate 1
You’ll get -6 -0 for the y coordinates and you’ll get 0- -8 for x coordinates you put -6 over 8 like a fraction so -6/8 simply and get - 3/4

For number 8 name the angle vertical to

Answers

Answer:

the angle vertical to angle VZY is angle XZW.

hope it helps.stay safe healthy and happy.

solve the systems of linear equations using substitution
1.x-4y=-10 2.a-3b=24
2x+y=-11 a+2b=-16



3.4j-5k=27 4.m+n=-3
k=j-7 m-4n=27

Answers

Step-by-step explanation:

1 . x - 4y = -10

2x + y = -11

multiply the first equation with 2

2x - 8y = -20

-

2x + y = -11

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

= 0 - 9y = -9

y = 1

x = -6

-------------------------------------------

2.

a - 3b = 24

-

a + 2b = -16

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

= 0- 5b = 40

b = - 8

a = 0

and so on

WILL GIVE BRAINLIEST

(3x – 14) (2x + 10)

Find the value of x.​

Answers

Answer:

(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}

3x-2x= 14+10

x=24

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

We need to find the yards of ribbon that Elsa bought with her debit card.

The amount of ribbon that Elsa bought was 31 yards.

Initial amount which is present on the card is [tex]\$15[/tex]

Amount left after spending is [tex]\$12.83[/tex]

Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]

Converting to cents

[tex]2.17\times 100=217\ \text{cents}[/tex]

Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]

[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]

The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].

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how do you write 750 gallons to 14 minutes as a unit rate

Answers

750/14=53.57

53.57 gallons per minute

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

The endpoints of ST are -15 and 25. Find the coordinate of the midpoint M

Answers

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

Learn more about the midpoint here :

brainly.com/question/5127660

#SPJ2

please find value of x and y​

Answers

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

Help need help please

Answers

The distance between these two points is 4.24

1) In the market for apartment housing, the quantity of available apartments is observed to be less than the number of renters who are willing and able to pay the market price of an apartment. In this scenario, the market is said to be _____.(1 point)


A in equilibrium because there is a surplus of apartments on the market


(B) in equilibrium because there is a shortage of apartments on the market


C in disequilibrium because there is a shortage of apartments on the market


D in disequilibrium because there is a surplus of apartments on the market
1) B

2) For a given market, the equilibrium quantity of the good or service will decrease if _____.(1 point)


A demand increases and supply decreases


B demand decreases and supply increases


(C) demand decreases and supply decreases


D demand increases and supply increases

2)C

3) Price Quantity Supplied Quantity Demanded

$10 1,000 2,500

$20 2,000 2,000

$30 3,000 1,500

$40 4,000 1,000


The equilibrium price for this market is _____.


(1 point)


A $10


(B) $20


C $30


D $40

3) B

4) In a given market, the market equilibrium price and quantity are $120 and 5 million units, respectively. At a price of $100, 4.8 million units are supplied, and 5.2 million units are demanded. It can be said that at a price level of $100 there is a _____.(1 point)


A a surplus of 0.4 million units


(B) a shortage of 0.4 million units


C a shortage of 0.2 million units


D a surplus of 0.2 million units

4) B

5)The supply and demand curves for a market are graphed below with price in dollars and quantity in thousands.


Two intersecting lines are graphed. The horizontal axis labeled Quantity goes from 0 to 70 in increments of 10. The vertical axis labeled Price goes from 0 to 50 in increments of 10. A line with a negative slope is labeled D and a line with a positive slope is labeled S. The lines intersect at approximately left parenthesis 33.7 comma 30 right parenthesis. A horizontal dashed line extends from left parenthesis 0 comma 30 right parenthesis to the point of intersection.


Which of the following would result from an increase in the supply curve?


(1 point)

(A) a market equilibrium price less than $30


B a market equilibrium quantity less than $30


C a market equilibrium quantity greater than $30


D a market equilibrium price greater than $30

5) A
5/5 Good job

Answers

Answer:

Hey

Step-by-step explanation:

Hey did you find the answers to this? i really need it. im desperate!

1. The market is said to be in disequilibrium because there is a shortage of apartments on the market

2. The equilibrium quantity of the good or service will decrease if  demand decreases and supply decreases

3. The equilibrium price for this market is $20

4. It can be said that at a price level of $100 there is a  a shortage of 0.4 million units

Equilibrium is the point at which quantity demanded equal quantity supplied

The price at this point is referred to as the equilibrium price.

Above equilibrium, there is a surplus - quantity supplied exceeds quantity demanded. As a result of the surplus, price would fall until equilibrium is reached.

Below equilibrium, there is a shortage - quantity demanded exceeds quantity supplied. As a result of the shortage, price would rise until equilibrium is reached.

A decrease in demand would lead to a leftward shift of the demand curve. As a result, quantity and price decreases.  A decrease in supply would lead to a leftward shift of the supply curve. This leads to a decrease in quantity and an increase in price. Taking these two effect together, equilibrium quantity would decrease and there would be an indeterminate effect on equilibrium price

Equilibrium price is $20. This is because this is the price at which quantity demanded exceeds quantity supplied

There is a shortage because quantity supplied is less than quantity demanded

Shortage = 5.2 million - 4.8 million = 0.4 million

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Reflections. PLS HELP WILL MARK BRAINLIEST! if you dunno don't put anything. :)
Point Q is reflected over the x-axis onto its image Q'(-7,-3). Determine the coordinates of the pre-image.

(7, 3)
(-7, 3)
(7, -3)
(-7, -3)

Answers

Answer: (-7,3)

Step-by-step explanation: brainly plz

Answer:

(-7, 3)

Step-by-step explanation:

(-7, 3)

since your going over the x axis the x values stays the same

x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]

Anything divided by one results in itself.

[tex] \large \sf \: x\times 1+x [/tex]

Combine x × 1 and x to get 2x.

[tex] = \large \boxed{ \bf \: 2x}[/tex]

The correct answer is 2x.

What is the solution to 12 = 3/4x

Answers

Answer:

3

Step-by-step explanation:

2

find the gradient of the line 3y=2x/3+4​

Answers

Answer:

slope is also known as gradient

here gradient =2/9

Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.

f(2)=
f^-1(1) =
f^-1(X2)) =

Answers

Answer:

Solution:

When X=2

f(2)=1/2

= 1/2

When X= 1

f^-1(1)= 2*1

=2

When X=2

f^-1(2)=2*2

= 4

Step-by-step explanation:

I don't know if these are correct and if that last question is f^-1(2) or not.

Given f(x) = x2 - 4 , find f(-3).

Answers

Answer:

5

Step-by-step explanation:

- 13 -2
2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ] |

Answers

23

Step-by-step explanation:

2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ]

= 2-[-1] + [16] -[-1]-[-3]

= 2+1+16+1+3

= 3+16+4

=3+20

= 23

Freshman math please help as soon as possible!

Answers

No, they are not correct

how do you plot a point?

Answers

You take a pen or something that can produce writing then poke the paper at a place. That place is now a plotted point with [tex](x,y)[/tex] coordinates in your notebook.

Hope this helps :)

Please help me it’s math coordinates planes

Answers

Answer:

(4.5 , 2.5)

Step-by-step explanation:

The midpoint can be found with the formula 

[tex]midpoint = ( \frac{x1 + x2}{2} ).( \frac{y2 + y1}{2} )[/tex]

and (x1 , x2 ) , (x2, y2) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

Please help me I need help

Answers

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

What is the shape of this cross section?

Giving brainliest to the best answer :)

Answers

It's a rectangle.

It clearly shows the outline of the shape presented.

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