How many ounces of a 35% alcohol solution must be mixed with 10ounces of 40% alcohol solution to make a 37% alcohol solution?

Answers

Answer 1

first off, let's change the format of the percentage to decimal.. so 35% is just 35/100 or 0.35 and 40% is 40/100 or 0.4 and so on.

[tex]\bf \begin{array}{lccclll} &amount&concentration& \begin{array}{llll} concentrated\\ amount \end{array}\\ &-----&-------&-------\\ \textit{35\% sol'n}&x&0.35&0.35x\\ \textit{40\% sol'n}&10&0.40&4.00\\ -----&-----&-------&-------\\ mixture&y&0.37&0.37y \end{array}[/tex]

now, whatever "x" amount is, we know that x + 10 must add up to "y". x + 10 = y, because both quantities added will give the mixture amount.

and whatever 0.35x + 4 = 0.37y, because both concentrated amounts must give the 37% of the mixture.

[tex]\bf \begin{cases} x+10=\boxed{y}\\ 0.35x+4=0.37y\\ ----------\\ 0.35x+4=0.37\left( \boxed{x+10} \right) \end{cases}[/tex]

solve for "x", to see how much of the 35% solution will be needed.

what about "y"? well, x + 10 = y.

Related Questions

The screen on Lawrence's new phone is 3.15 centimeters long.What mixed number represent the lenght of the phone screen?

Answers

A mixed number is written in a form of [tex]a \frac{b}{c} [/tex], where 'a' is a whole number.

One example of mixed number is [tex]3 \frac{1}{4} [/tex], read as 'three and one quarter'. As decimal fraction, [tex]3 \frac{1}{4} [/tex] equals to 3.25

We are given the value of 3.15 and to change this into a mixed number, first note the whole number, which is 3.

We then change the decimal value 0.15 into a fraction and it is [tex] \frac{15}{100}= \frac{3}{20} [/tex]

Hence, 3.15 = [tex]3 \frac{3}{20} [/tex]

Find the least common multiple of these two expressions. 14x^2y^4 and 21x^3u^7y^8

Answers

LCM of 14 and 21:-

14 = 2 * 7
21 = 3*7

LCM = 2*3*7 = 42

answer is 42x^3u^7y^8

two points are collinear

Answers

Collinear is when two points are on the same plane. For example: in this picture A B C and D are collinear. Two points can still be collinear if they don’t have a line in between them too, just as long as you can draw a straight line between them they are collinear.

Answer:

1. B

2. C

3. B

4. C

5. A

6. A

7. C

8. A

9. D

10. C

11. B

12. B

simplify
27 2/3
----------
27 4/3

Answers

Hey!

We can write it like this,
[tex]\frac{27\frac{2}{3}}{27\frac{4}{3}}[/tex]
Let's convert them to improper fractions,
[tex]=\frac{\frac{83}{3}}{\frac{85}{3}}[/tex]
Let's divide them, but to do that we have to take the reciprocal of the second fraction,
[tex]=\frac{83\cdot \:3}{3\cdot \:85}[/tex]
Since our common factor is 3, we can cancel them out.
[tex]=\frac{83}{85}[/tex]
That would be our final answer.

Thanks
-TetraFish

Answer:

It would be 9

Step-by-step explanation:

for edgen 2020

PLEASE PLEASE IM RUNNING OUT OF TIME AND NEED YOUR HELP!!!!!
hope i wrote these correctly!
Simplify: ^3√108c^17

My Choics are...
:
a. 6c^8√3c

b. 3^3√4c^17

c. 3c^5 ^3√4c^2

d. 18c^8√3c

Answers

∛ 108c^17 = 3c^5 ∛4c^2

answer

c. 3c^5 ∛4c^2

Find y' if x = tan(y)

Answers

Use the chain rule:

[tex]x=\tan y[/tex]
[tex]\dfrac{\mathrm d}{\mathrm dx}x=\dfrac{\mathrm d}{\mathrm dx}\tan y[/tex]
[tex]1=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]1=\sec^2y\,y'[/tex]
[tex]y'=\dfrac1{\sec^2y}=\cos^2y[/tex]

Furthermore, if you restrict the domain of [tex]y[/tex], we could write

[tex]x=\tan y\iff \tan^{-1}x=y[/tex]

and so we could also have

[tex]y'=\cos^2(\tan^{-1}x)=\left(\dfrac1{\sqrt{x^2+1}}\right)^2=\dfrac1{x^2+1}[/tex]

find the value of x.

Answers

To find the value of X, simply know that for this parallelogram, the angles on each end that are diagonal with respect to each other are the same. And knowing that the angles in a parallelogram add up to equal 360 degrees. Simply make an algebraic expression equal to the value of 360 and then solve for x.

X + X + (X - 26) + (X - 26) = 360
2X + X - 26 + X - 26 = 360
4X - 52 = 360
4x = 412
X = 103.

The value for X, I believe would be 103 degrees. You can verify this by plugging in the value into both expressions, X and X-26 and see that if adding all the expressions together does it equal 360 degrees.

What is the slope of a line that is perpendicular to the line v= 3/4x-6?

A. 3/4
B. -4/3
C. -3/4
D. 1/6

Answers

A perpendicular slope is equal to the negative reciprocal of the given slope, which is 3/4.

The reciprocal of 3/4 is 4/3. The negative of that is -4/3.

Final answer: B

The slope of line which is given to be perpendicular to the line represented by equation "v = (3/4)x - 6" is : (b) -4/3.

To determine the slope of a line that is perpendicular to the given line v = (3/4)x - 6, we use the property that perpendicular lines have slopes that are "negative-reciprocals" of each other.

The slope of the given line is 3/4. To find the slope of the perpendicular line, we take the negative reciprocal of 3/4.

The negative reciprocal of 3/4 is -4/3. So, the slope of the line that is perpendicular to the given-line v = (3/4)x - 6 is -4/3.

Therefore, the correct answer is (b) -4/3.

Learn more about Slope here

https://brainly.com/question/29149364

#SPJ6

A student claims that a figure has rotational symmetry and that the angle of rotational symmetry is 360 degrees. Critique the student's statement.

Answers

Remember rotational symmetry means if you turn it you end up with the same figure you started with. This happens with regular polygons since each angle is congruent. To find the angle of rotation you divide 360 by the number of angles. So if you rotated 360 degrees, that means 360/360=1. Your figure only had one angle, so it can't even be a polynomial! Also, every figure in the world will look exactly like it started if rotated 360 degrees, so this would not be logical.

Help please. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

A.5√2 /2

B.5√3

C.5√2

D.5√3 /2

Answers

Answer: The value of the variable is [tex]x=\dfrac{5\sqrt2}{2}.[/tex]

Step-by-step explanation: We are given to find the value of the variable 'x' in the figure.

We can see that the figure is a right-angled triangle with the length of the hypotenuse as follows:

h = 5 units.

Now, with respect to the angle of measure 45°, the length of the perpendicular is x units.

That is, p = x units.

From relations between trigonometric ratios, we have

[tex]\sin 45^\circ=\dfrac{\textup{perpendicular}}{\textup{hypotenuse}}\\\\\\\Rightarrow \dfrac{1}{\sqrt2}=\dfrac{p}{h}\\\\\\\Rightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{5}\\\\\\\Rightarrow x=\dfrac{5}{\sqrt2}\\\\\\\Rightarrow x=\dfrac{5\sqrt2}{(\sqrt2)^2}\\\\\\\Rightarrow x=\dfrac{5\sqrt2}{2}.[/tex]

Thus, the value of the variable is [tex]x=\dfrac{5\sqrt2}{2}.[/tex]

15,000 loses value by 20% each year. What is the value after 3 years

Answers

So you have 15,000, which decreases in value by 20% each year. The question asks, what is the value after 3 years. So you would have 15,000(1-0.2)^3 and that is your equation. The reason for this is because you have your initial value 15,000, and when it is a percent decrease, you use the formula i(1-d)^x, where i represents the initial value, d represents the percent decrease, and x represents the number of years. We can convert 20% into a decimal as 0.2. So our initial value is 15000, our percent decrease is 0.2, and number of years we can see is 3. That is why the equation is 15,000(1-0.2)^3. I would solve this using PEMDAS, meaning that Parenthesis comes first, Exponents come second, and then Multiplication comes after both of those. I stopped here because these are the only three things we need to do to solve. When I solve this, I do (1-0.2) = 0.8, and (0.8)^3 = 0.512. Then I multiply 15,000 with 0.512, which gives me 7680. Therefore the value of 15000 after 3 years is $7680. Hope this helps. Feel free to ask me questions about my explanation, and feel free to post more questions.

Answer:

Step-by-step explanation: 7680

After losing 20% we have 80% remaining

∴ value after three years = 15,000 × [tex]\frac{80}{100}[/tex] × [tex]\frac{80}{100}[/tex] ×[tex]\frac{80}{100}[/tex]

= 15,000 × [tex]\frac{4}{5}[/tex] ×[tex]\frac{4}{5}[/tex] ×[tex]\frac{4}{5}[/tex]

= 7680

A mosaic is made by having 1 cm square tiles glued onto a photograph. the photograph is a 6 cm by 8 cm rectangular photo. It is enlarged by a scale factor of 1.5. how many tiles are needed to cover the enlarged photo

Answers

A scale factor is the ratio of two similar geometric figures of their corresponding sides. The scale factor is calculated by locating the corresponding sides on each figure. Enlargement of a figure would have a scale factor that is greater than 1 which is evident for the problem above. To determine how many tiles would be needed to cover the enlarged photo, we need to know the new dimension of the photo. We do as follows:

Old photo = 6 cm x 8 cm
New photo = 6 cm x 1.5 x 8 cm x 1.5
= 9 cm x 12 cm

Number of tiles = Area of photo / Area of tiles
Area of photo = 9 x 12 = 108 cm^2
Area of tiles = 1 cm x 1 cm = 1 cm^2

Number of tiles = 108 cm^2 / 1 cm^2 = 108 tiles

The x-intercept of the line x = 3.5 is . The y-intercept of the line y = -6.5 is . Enter your answer as an ordered pair such as (1, 1) or (-2, 2).

Answers

The x-intercept of the line x = 3.5 means that when y=0, and x=3.5, so the order pair for this is (3.5,0) or (3 1/2,0)
Next, The y-intercept of the line y = -6.5 means that when x=0, and y=-6.5, so the order pair for this is (0,-6.5) or (0,-6 1/2). As a result, The x-intercept of the line x = 3.5 is (3.5,0) or (3 1/2,0) . The y-intercept of the line y = -6.5 is (0,-6.5) or (0,-6 1/2). Hope it help!

The record ski jump for women is 110 meters. What is this length in feet?

Answers

110 meters converted to feet is: 360ft

Answer:

The record ski jump for women is 360.89 feet.

Step-by-step explanation:

The record ski jump for women is 110 meters.

Record ski jump = 110 m

We need to find what is this length in feet.

We have the conversion 1 m = 3.28084 ft

Using the above conversion

We will get

1 m = 3.28084 ft

110 m = 110 x 3.28084 = 360.89 ft

The record ski jump for women is 360.89 feet.

The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 centimeters and 5 centimeters. to the nearest tenth, what is the length of the shorter leg of the triangle?

Answers

a^2 = x^2 - 5^2 where a = altitude, x=shorter leg and y=longer leg.

a^2 = y^2 + 11^2

x^2 - 5^2 = y^2 - 11^2.......... (1)

Also consider the whole triangle:

x^2 + y^2 = 16^2..........(2)

x^2 - y^2 = -96 .........(3) (from equation (1))

adding 2 x^2 = 256 + -96 = 160

x^2 = 80

x = sqrt80

= 8.94 to nearest hundredth

The temperature of a point $(x,y)$ in the plane is given by the expression $x^2 + y^2 - 4x + 2y$. what is the temperature of the coldest point in the plane?

Answers

[tex] x^{2} + y^{2}-4x+2y [/tex]

can be written as follows:

[tex] x^{2} -4x+ y^{2}+2y[/tex]

[tex](x^{2} -4x+4)-4+ (y^{2}+2y+1)-1[/tex]

[tex] (x-2)^{2}+(y+1)^{2} -5[/tex]

since [tex](x-2)^{2}[/tex] and [tex](y+1)^{2}[/tex] are always positive, except for x=2 and y=-1, when they become 0,

the minimum value of this expression is when x=2, and y=-1, that is -5

Answer: -5

A building is 60 ft tall and another is 80 ft tall. A model of the 60 ft building is made at 1 ft. tall. How tall is the model of the 80 ft tall building?

Answers

1 foot = 60 feet

80/60 = 1.333

80 foot building is made 1.33 feet tall (16 inches, 1 foot 4 inches)

Find the 39th term of the arithmetic sequence that starts with 4 and has a common difference of 6.

A. 232

B. 226

C. 238

D. None of these

Answers

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

We are told that a=4 and d=6 so we have:

a(n)=4+6(n-1), so the 39th term is:

a(39)=4+6(38)

a(39)=4+228

a(39)=232

Write a function max that has two c string parameters and returns the larger of the two.

Answers

char max(char number1, char *number2){
if (strcmp(number1, number2) > 0)
return number1;
else
return number2;
}

Final answer:

To determine the larger of two C strings, a function named max uses strcmp to compare them, returning the one considered greater in alphabetical order.

Explanation:

To write a function named max that returns the larger of two C strings, one must compare the two strings alphabetically. Here is an example implementation in C:

#include // Include the header file for string functions

// Function declaration
const char* max(const char* str1, const char* str2) {
// Compare the two strings
int result = strcmp(str1, str2);

// If str1 is greater than or equal to str2
if(result >= 0)
return str1;
else
return str2;
}

The strcmp function from the string.h library is used to perform the comparison. If the first string (str1) is greater than or equal to the second string (str2), str1 is returned; otherwise, str2 is returned. Note that the comparison is based on the ASCII values of the characters, effectively ordering them alphabetically.

find the center of the circle that can be circumscribed about triangle EFG, E(6,4) F(6,2) and G(10,2)

Answers

Final answer:

The center of the circumscribed circle about triangle EFG with given vertices is found by calculating the perpendicular bisectors of the triangle's sides and locating their intersection point, which is the center (8,3).

Explanation:

To find the center of the circumscribed circle about triangle EFG with vertices E(6,4), F(6,2), and G(10,2), we need to determine the perpendicular bisectors of at least two sides of the triangle and then find their intersection point, which will be the center of the circumscribed circle.

First, find the midpoint of side EF, which has the same x-coordinate (since E and F have the same x-coordinate), so the midpoint is (6,3).Next, we need the equation of the perpendicular bisector of EF. Since EF is vertical, its perpendicular bisector is a horizontal line that passes through the midpoint, hence the equation is y = 3.Then, find the midpoint of side FG. As the endpoints have the same y-coordinate, the midpoint will have that y-coordinate (2) and the x-coordinate will be the average of the x-coordinates of F and G, which is (6+10)/2 = 8. So, the midpoint of FG is (8,2).The slope of side FG is 0 (since it's horizontal), so the slope of its perpendicular bisector is undefined, meaning it's a vertical line. Consequently, the equation of this perpendicular bisector is x = 8.Last, by solving the system of equations formed by the two perpendicular bisectors x = 8 and y = 3, we find the intersection point, which is the center of the circumscribed circle: (8,3).

Bobby knows that the perimeter of the original rectangular is 120 meters he also knows that the perimeter of the reduced rectangular is 30 meters and the reduced length is 9 meters

Answers

In my opinion the answer is 36 meters

Answer:36meters

Step-by-step explanation:

The area of a rectangle is 28 ft2 , and the length of the rectangle is 1 ft more than twice the width. find the dimensions of the rectangle.

Answers

W=x
L=2x+1
Area=(2x+1)x=28
2x²+x=28
2x²+x-28=0

(2x-7)(x+4)=0
x=3.5, -4. (3.5 makes more sense)
2x+1=8
area = 28 ft²
width = 3.5 feet | length = 8 feet.

The length is 8feet and the width of the rectangle is 3.5feet

Let the width of the rectangle be represented by w

Let the length of the rectangle be represented by = 2w + 1

Therefore, based on the information given, the equation to solve the question will be:

w(2w + 1) = 28

2w² + w = 28

2w² + w - 28 = 0

2w² + 8w - 7w - 28 = 0

2w(w + 4) - 7(w + 4) = 0

2w - 7 = 0

2w = 0 + 7

2w = 7

w = 7/2

w = 3.5

The width is 3.5 feet

The length will be:

= 2w + 1

= 2(3.5) + 1

= 7 + 1

= 8

The length is 8feet and the width is 3.5feet

Read related link on:

https://brainly.com/question/4193637

Solve 2(x-1) = 3x+4

Answers

2(x - 1) = 3x + 4
2x - 2 = 3x + 4
x = -6

which function is equivalent to the inverse of y=sec(x)
a. y=cot^-1(x)
b. y=cos^-1(1/x)
c. y=csc^-1(x)
d. y=sin^-1(1/x)

Answers

From the identity:

[tex]sec(x)= \frac{1}{cos(x)} [/tex]

[tex]f(x)=sec(x)= \frac{1}{cos(x)} [/tex]

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that [tex] \frac{1}{cos[g(x)]}=x [/tex]

thus, [tex]cos[g(x)]= \frac{1}{x} [/tex]

[tex]g(x)=cos^{-1} (\frac{1}{x}) [/tex]

Answer: b. g(x)=cos^-1(1/x)

Answer: B) csc^-1(x)

Step-by-step explanation: EDGE 2021

The graph of a line goes down and to the right when

Answers

It is a negative slope!

it goes down and to the right when the graph is negative.

if acircle is inscribed in a hexagon, which of the following must be true ? Check all that apply.

A. The hexagon is circumscribed about the circle.
B. Each vertex of the hexagon lies inside the circle.
C. The circle is congruent to the hexagon.
D. Each vertex of the hexagon lies outside the circle.
E. The circle is tangent to each side of the hexagon.

Answers

A. The hexagon is circumscribed about the circle .
D. Each vertex of the hexagon lies outside the circle .
E. The circle is tangent to each side of the hexagon .

Answer: A. The hexagon is circumscribed about the circle.

D. Each vertex of the hexagon lies outside the circle.

E. The circle is tangent to each side of the hexagon.

Step-by-step explanation:

Given: A circle is inscribed in a hexagon.

Then the hexagon is circumscribed about the circle.

Each vertex of hexagon lies outside the circle.

As each side of hexagon is just attached to the circle not passing through the circle, thus the circle is tangent to each side of the hexagon.

Since circle is a closed curve and hexagon is regular polygon with 6 sides, they cannot be congruent because they have different shapes.

Factor y2 + 10z - 10y - yz.

Answers

Hey!

First, let's write the problem.
[tex]y^2+10z-10y-yz[/tex]
First, we have to factor the y from [tex]y^2-10y[/tex], so we would be left with,
[tex]y\left(y-10\right)[/tex]
Next, we factor the [tex]-z[/tex] from [tex]10z-yz[/tex]. This would leave us with,
[tex]=y\left(y-10\right)-z\left(y-10\right)[/tex]
The common term is [tex]\left(y-10\right)[/tex], so let's factor it out.
[tex]=\left(y-10\right)\left(y-z\right)[/tex]
That would be our final answer.

Thanks!
-TetraFish

Factor by grouping.

GCF of y^2 and -yz
GCF of 10z and -10y

y(y-z)+10(z-y)

Now, (z-y) is the opposite of (y-z), so turn the +10 into -10 and change sign inside parenthesis.

y(y-z) - 10 (y-z)

(y-10)(y-z)

A swimming pool is 15 by 30 feet and a consistent 5 feet deep. you are painting the walls and floor of the pool. if a gallon can of paint covers 250 square feet, how many gallon cans would you need to buy

Answers

the bottom of the pool is 15 x 30 = 450 sq feet.

you the have 2 walls that are 30 x 5 = 150 x 2 = 300 square feet

then 2 walls that are 15 x 5 = 75 x 2 = 150 square feet

for a total of 450 +300 +150 = 900 square feet

1 can covers 250 sq ft

so 900/250 = 3.6

so you would need 4 cans of paint

A ship traveled for 4 hours heading west and for 5 hours heading north. If the total distance traveled was 119 miles, and the ship traveled 5 miles per hour faster west, at what speed was the ship traveling west

Answers

let speed that ship travelled west be x mph

then distance travelled west = time * speed = 4x

speed going North was x - 5 mph and distance = 5(x - 5)

so we have
4x + 5x -25 = 119

9x = 119+25 = 144
x = 144/9 = 16 mph <------ answer

(04.01 LC)

Which of the tables represents a function?
Table A

Input

Output

3 1
3 4
2 3

Table B

Input

Output

2 7
5 6
2 9

Table C

Input

Output

1 5
7 2
7 3

Table D

Input

Output

3 4
1 5
8 5

Table A
Table B
Table C
Table D

Answers

Only table D is a function. All of the others fail the "vertical line test." The definition of a function is for each input there is only one unique output. So for example, any given input value of x, there can only be one unique output value for y.

Answer:

I believe the answer is table D.

Step-by-step explanation:

Each input can only have one output. The other tables have multiple outputs for each input. Therefore they get "cut off," and table D is the answer.

Helper's Message:

I hope this answer helped you! I wouldn't mind if you hit the 5-star rating or gave me a thank you. :)

-ChocoChocoCho

Other Questions

Which statement best compares the rate of change of the two functions? which of the following describes an effect of the war that americans experienced on the home frontA. increased work apportunities B. increased availability of goods C. decreased patriotims D. decreased goverment involvement How did personal liberty laws increase tensions between the north and the south over the fugitive slave act? What significant event happened in Memphis Tennessee in April 1968? In may, the price of a pair of jeans was 250% of its wholesale cost. in june, the price was reduced by 25%. after an additional 50% discount in july, the jeans cost $\$22.50$. what is the number of dollars in the wholesale cost of the jeans? People at ________ levels in an organization draw on business intelligence to make decisions related to marketing plans, product development, and departmental budgets. which president pursued a policy of vietnamization We wondered about WHATEVER BECAME OF THAT LITTLE PUPPY. The bolded(caps) words are what kind of clause? adjective clause noun clause adverb clause In middle school, carlos was involved in many school plays and musicals. being part of the drama crowd was important for carlos in what way? 5x+14-2x=9-(4x+2) can someone help what element causes mars to appear red Socially or economically disadvantaged research subjects are Create a list of the odd numbers between 1 and n (include 1 as well as n -- if it's odd-- in the list). Associate the list with the variable odds. Governor rick perrys record of failures and achievements as chief executive of the state show that governors do matter. In 1878, eadweard muybridge photographed a galloping horse and discovered that: Processing the stress related to leadership action is recommended as a routine approach to self-____ in leadership positions. When a person suffers a heart attack due to alcoholic cardiomyopathy, it is especially likely to be fatal because:? 1. Energy is expended when a force moves matter across a distance. True/False2. The conservation of mass-energy and the first law of thermodynamics are synonymous. True/False3. Temperature and thermal energy are synonymous terms. True/False4. On the Kelvin scale, temperatures are expressed as positive values only. True/False5. The amount of heat transfer required to change the temperature of one gram of water one degree Celsius is also known as a calorie. True/False It's due tomorrow please someone keep helping me Why did douglas changed his mind regarding the usefulness of the missouri compromise? Steam Workshop Downloader