how many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 8% alcohol?

How Many Gallons Each Of 25% Alcohol And 5% Alcohol Should Be Mixed To Obtain 20 Gal Of 8% Alcohol?

Answers

Answer 1

[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]


Related Questions

What is the volume of the​ cylinder? Use 3.14 for .
4 cm
11 cm

Answers

Answer:

Use the formula,

Volume of cylinder =πr²h

=3.14×16×11

=552.64 cm³

17 divided into 3,536

Answers

Answer: 208

Step-by-step explanation:

The number 3536 is called the numerator or dividend, and the number 17 is called the denominator or divisor.

The quotient of 3536 and 17, the ratio of 3536 and 17, as well as the fraction of 3536 and 17 all mean (almost) the same:

3536 divided by 17, often written as 3536/17 = 208

what is difntion of tautology?

Answers

a phrase or expression in which the same thing is said twice in different words.

2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?

Answers

Answer:

Bart 95   bill 30

Step-by-step explanation:

Bill=b

Bart = (3b+5)  

b+ (3b+5) = 125

4b=120

b=30     Bill sold 30 refrigerators

3(30)+5 = 95 (Bart sold 95 refrigerators)

95+30=125

Give the equation of the line in point-
slope form that goes through the point
(-3,7) and is parallel to the line 4x-3y=7

Answers

Answer:

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Step-by-step explanation:

Hi there!

We are given the point (-3, 7)

We want to write the equation of the line containing that point, in point slope-form, and that is also parallel to 4x-3y=7

Parallel lines contain the same slope

So first, let's find the slope of 4x-3y=7

To do that, we can convert the line from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope, and b is the y intercept)

To do that, we need to isolate y on one side

So start by subtracting 4x from both sides

4x-3y=7

-4x      -4x

________________

-3y=-4x+7

Divide both sides by -3

y=[tex]\frac{4}{3}x[/tex]- [tex]\frac{7}{3}[/tex]

Since 4/3 is in the place of where m should be, the slope of the line is 4/3

It is also the slope of our new line, which we are trying to find

As stated earlier, we want to write this line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

This is where the point we were given earlier comes in. We simply need to substitute our values (of the point and the slope) into the formula to find the equation.

First, with the slope; substitute 4/3 as m in the equation

[tex]y-y_1=\frac{4}{3} (x-x_1)[/tex]

Now substitute -3 as [tex]x_1[/tex] in the equation

[tex]y-y_1=\frac{4}{3} (x--3)[/tex]

We can simplify this to:

[tex]y-y_1=\frac{4}{3} (x+3)[/tex]
Now substitute 7 as [tex]y_1[/tex] into the equation

[tex]y-7=\frac{4}{3} (x+3)[/tex]

Hope this helps!

Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water

Answers

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

Evaluate the expression: 4x - 2y if x is 7 and y is -3

Answers

hello!

Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth.
area: about
ft2

Answers

Answer:

78.6

Step-by-step explanation:

Area of  circle = Pi*r^2

r=5

for pi use calculator or pi=3.142

area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)

NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#7 and #8​

Answers

Answer:

  7. inverse relationship; equation: y = 16/x

  8. no relationship; no equation

Step-by-step explanation:

The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.

linear: constant differencesexponential: constant ratiosinverse: constant products

__

7.

In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.

 relationship: inverse

  y = 16/x

__

8.

As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 7

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 16 by the x-value.

[tex]\sf y=\dfrac{16}{x}[/tex]

Question 8

As the x-value increases, the y-value increases.  

The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.

[tex]\sf y=2^x \ for \ 1\leq x\leq 4[/tex]

[tex]\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6[/tex]

These are separate exponential relations for restricted domains.

So there doesn't appear to be one relationship for a non-restricted domain.

What is the area, in square meters, of the shaded part of the rectangle shown below?

Answers

there is no rectangle??

(5x+30)=7x ??
Can anyone help me

Answers

Answer:

the answer is x=15.....

Answer:

Step-by-step explanation:

(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 ​ Divide −30 by −2 to get 15.                 answer should be x=15

simplify the expression m^-6n^-3/m^-13n^-1

A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2

Answers

Key the ruler of reducing similar terms answer is D)

[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]

Will spent three days collecting cans and he managed to collect 2 pounds he collected blank of a pound each day

Answers

0.666666666666667

Explanation

Multiply.


8×3/5


Enter your answer as a mixed number in simplest form by filling in the boxes.


$$

Answers

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:

Answers

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²

Please answer all questions and show work for each step and each part (part A, part b, part c)
*50 points*

Answers

Answer:

Already answered in advance in the comments section

Step-by-step explanation:

Feel free to ask more questions if any!

Which shapes show equivalent fractions?

A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D

Answers

Answer:

B.shapes A and D

Step-by-step explanation:

Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D

5) Which equation shows how to find the volume of the figure shows Al 5x 3 x 4 = 60 B) 5+ 3 * 4 = 32 0525 USA 2021​

Answers

Answer:

The answer is the second option

Step-by-step explanation:

Write the given expression as a single trigonometric function.

2 sine (StartFraction 3 pi Over 8 EndFraction) cosine (StartFraction 3 pi Over 8 EndFraction)

Sine (StartFraction 3 pi Over 16 EndFraction)
2 sine (StartFraction 3 pi Over 16 EndFraction)
Sine (StartFraction 3 pi Over 4 EndFraction)
2 sine (StartFraction 3 pi Over 4 EndFraction)

Answers

Answer:

sin(3pi/4)

Step-by-step explanation:

I got it right on edg

Answer:

The answer is letter c

Step-by-step explanation:

Please help me yall feedback would be appreciated!!

Answers

Answer:

1/13

Step-by-step explanation:

There are 2 red 5's in a standard 52-card deck ( a red 5 of hearts and a red 5 of diamonds ) and then there are 2 black 6's in a 52-card deck ( a black 6 of clubs and a black 6 of spades )

So in total there are 4 cards that we want out of 52.

So the probability of getting a red five or a black six is 4/52 or 1/13

Answer:

Step-by-step explanation:

This is an or question. You can choose either one; both are possible and the smaller probability add.

Red 5: 2/52

There are 26 red cards. 2 of them are 5s (diamonds / hearts). You are still drawing from a complete pack of 52

Black 6: 2 / 52

There are 26 black cards. 2 of them are 6s (Clubs / spades). You are still drawing from a complete pack of 52

2/52 + 2/52 = 4/52

Divide top and bottom by 4

4/4 // 52 /4

1 / 13

Answer: 1/13 or 0.077

Hi! I am pretty confused on how to solve this problem. Any steps would be great to help me understand it!

Answers

Sheesh okay if I remember correctly
It would be add the y+4y=5y
5y+2y=7
7y(6x)
Or
5y+2y=10y 10y(6x)

2x+y+2z=-2
-2x+2y-z=-5
4x+y+2z=0

Answers

Answer:

minden new yemilew yihegnaw tiyake

Find the value of x. Round your answer to the nearest tenth

Answers

Hope you enjoy  :)))))))

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

Factor the expression. 16m2 – 24mn + 9n2

(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2

Answers

solution:

16m2 – 24mn + 9n2

((16 • (m2)) - 24mn) + 32n2

(24m2 - 24mn) + 32n2

= (4m - 3n)2

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

Which of these is the statement of the zero product rule?

A. If a • b = 0, then either a = 0 or b = 0, or both.

B. If a • b = 0, then a = 0 and b = 0.

C. If a • b = 0, then a = 0.

D. If a • b = 0, then either a = 0 or b = 0, but not both.

Answers

A is the correct answer

Find the measure of each angle in the isosceles trapezoid.

Answers

Answer:

Step-by-step explanation:

Find the sum of the integers between 23 and 47.

Answers

Answer:

70

Step-by-step explanation:

23+47

The average high temperature was 86° in august then 93° in September. What is the percent increase or decrease

Answers

The increase was 7 degrees
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