A mixture of alcohol and water contains a total of 52 oz of liquid. There are 13 oz of pure alcohol in the mixture. What percent of the mixture is water? What percent is alcohol?

On a dinner of  cost $2.25, you want to add 15% to the bill. As a result, your lunch will cost more money overall $2.59.

0.15 x $2.25=$0.34.

$2.25 + $0.34 = $2.59.

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The approximate surface area, using 3.14 for π is 866.64m^2

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

The  area of upper and lower circle of cylinder=[tex]2\pi r^{2}[/tex]

Then, the surface area of that cylinder is;

[tex]S_L = 2\pi r h \: \rm unit^2[/tex] + [tex]2\pi r^{2}[/tex]

Given;

The value of [tex]\pi[/tex] =3.14

Radius of cylinder= 6m

Height of cylinder= 17m

Area of cylinder=  2πr² + 2πrh

=2(3.14) x6^2 + 2(3.14)x6x17

=226.08+640.56

=866.64m^2

Therefore, the surface area will be 866.64m^2

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Step-by-step explanation:

the case of 2 secants starting at the same point (L).

the product of the circle outer part with its total length (to the far circle arc) is constant for all secants from the same point.

so,

10(10 + 42) = 13(13 + x)

520 = 169 + 13x

351 = 13x

x = 351/13 = 27

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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The equation in slope-intercept form of a line whose slope is 9 and whose y-intercept is -3 is y = 9x - 3

The general formula used to represent the equation of a given line of graph is expressed mathematically as;

y = mx + c

Given that the parameters are;

From the information given, we have that;

y = -3

m = 9

Now, substitute these values into the general formula for the equation of a line of graph, we have;

y = 9x +(-3)

expand the bracket

y = 9x - 3

Hence, the equation is y = 9x - 3

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Triángulo: 3 lados. Cuadrilátero: 4 lados. Pentágono: 5 lados. Hexágono: 6 lados.

Thus there can be no more than 8 total peeps when the number is less than 130.

Relationships that have the same ratio over time are said to be proportional. For instance, how many trees there are in an orchard and how many apples there are in a harvest of apples are determined by the average number of apples per tree. Proportional in mathematics refers to a linear relationship between two numbers or variables. When the first quantity doubles, so does the other. When one of the variables drops to 1/100th of its previous value, the other also decreases.

When two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two quantities stays the same at all values. As an example, consider the diameter and circumference of a circle.

given

total peeps when the number is less than 130

ratio = 7:4

Thus there can be no more than 8 total peeps when the number is less than 130.

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The individual' weight made up of fat is 26.27 pounds.

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Both Gianna and Hannah are correct, as the lone difference is that Gianna kept the one hidden while Hannah did not.

The expression for this problem is given as follows:

y = -x/4 + 3.

Gianna's factoring is given as follows:

-(x/4 - 3).

The negative represents the distributive property, meaning that it changes the signal of each term inside the expression, hence:

-(x/4 - 3) = -x/4 + 3.

Which is correct.

Hanna's factoring is given as follows:

–1(¼x – 3)

Which is the same as Gianna's, as -(x/4 - 3) and -1(x/4 - 3) is the same expression, just for the first the one is hidden.

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The time taken will be; 5.3 years.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

Compound interest is when you receive interest on both your interest income and your savings.

Given that  P = 50, 000

W= 5000

r= 1.8%= 0.018

n= 2

Now we know that , P = W (1- (1+ r/n)^{-nt}) / (r/n)

Putting all the values we get;

P = W (1- (1+ r/n)^{-nt}) / (r/n)

50000 = 5000 (1- (1+0.018/2)^{-2t}) / (0.018/2)

10 = (1- (1+0.009)^{-2t}) / (0.009)

0.09 = 1 - (1.009)^{-2t

(1.009)^{-2t = 0.91

Taking log on both side;

-2t log 1.009 = log 0.91

t= log 0.91/ (log 0.091) / (-20

t= 5.3

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Answer:

A. 77 degrees Celsius

Step-by-step explanation:

(25°C × 9/5) + 32 = 77°F

Answer:

(657)

Step-by-step explanation:

Simplify the following:

3 (300 - 70/5 - (3×23 - (8 - 2×3)))

The gcd of -70 and 5 is 5, so (-70)/5 = (5 (-14))/(5×1) = 5/5×-14 = -14:

3 (300 + -14 - (3×23 - (8 - 2×3)))

-2×3 = -6:

3 (300 - 14 - (3×23 - (-6 + 8)))

8 - 6 = 2:

3 (300 - 14 - (3×23 - 2))

3×23 = 69:

3 (300 - 14 - (69 - 2))

| 6 | 9

- | | 2

| 6 | 7:

3 (300 - 14 - 67)

300 - 14 - 67 = 300 - (14 + 67):

3 ((300 - (14 + 67)))

| 1 |

| 6 | 7

+ | 1 | 4

| 8 | 1:

3 (300 - 81)

| | 9 |

| 2 | | 10

| | |

- | | 8 | 1

| 2 | 1 | 9:

3 (219)

3 (219) = (3×219):

(3×219)

3×219 = 657:

Answer: (657)

Diagram C does not depict a function, according to the idea of function.

Therefore,

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After using law of sine the measure of triangle ∠B=50° , ∠C= 85° and

c= 36.4.

What is sine law?

According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides. The sine rule is another name for it.

Here the given triangle measures are , ∠A = 45° , a = 26 and b=28.

Now using sine law then

=> [tex]\frac{a}{sin A} = \frac{b}{sin B}[/tex]

=> [tex]\frac{26}{sin 45} = \frac{28}{sin B}[/tex]

=> sin B = [tex]\frac{28\times sin 45}{26}[/tex]

=> sin B =0.7615

=> ∠B= 49.60° ≅ 50°

Now we know that sum of all angles in triangle is add upto 180°.

=> ∠A+∠B+∠C = 180°

=> 45°+50°+∠C = 180°

=> ∠C = 180°-95° = 85°

Now again using sine law then

=> [tex]\frac{b}{sin B} = \frac{c}{sin C}[/tex]

=> [tex]\frac{28}{sin 50}=\frac{c}{ sin85}[/tex]

=> c = [tex]\frac{28\times sin 85}{sin 50}[/tex]

=> c = 36.4

Hence the answers are ∠B=50° , ∠C= 85° and c= 36.4

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If Monica agrees to type the report for her manager, she will take 40 minutes, based on the unit rate.

The unit rate refers to the coefficient of proportionality between two proportional quantities.

The unit rate is computed as the quotient of the total number and the typing speed or rate per minute.

In this situation, we are given the total words of the report and Monica's typing speed.  Based on this, we can compute the time for her to complete the typing by dividing the total words by the typing speed.

The total number of words in the report = 3,000 words

Monica's typing rate per minute = 75 words per minute

The time for Monica to complete typing the 3,000-word report = 40 minutes (3,000/75).

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A report contains 3,000 words and the manager begs Monica to type it for her.  If Monica agrees, how long will it take her, assuming Monica's typing speed per minute is 75 wpm?

The pages of the photo holder, given the number of pictures that Maddox has, can be filled without any photos left over.

To find out if Maddox will be able to fill up the pages of the photo holders without there being any leftovers, you need to first find the total number of photos that Maddox has.

The total is:

= 123 black-and-white photos + 174 color photos

= 297 photos

Each photo holder holds 9 pictures so the number of pages needed is:
= 297 / 9

= 33 pages

This shows that no photo will be left over.

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If during a baseball game, a player hits a ball while a bird is flying across the field. The intersection points of the equations represent: C the time when the height of the ball and the bird are the same.

Intersection points  can be defined as the points in which two lines meet or equate.

Height of the baseball over time = h = –16t2 + 65t

Height of a bird over time = h = 8t + 20

Where:

t represent the time in seconds

h represent the height in feet

–16t² + 65t =  8t + 20

-16t² +57t -20 =0

So,

t = -57 ±√57² -4×(-16) × (-20) / 2× (-16)

t = -57±√3249  -1280/ -32

t = -57 ±√1969 /-32

t = -57 + 44.373 / -32

t =  -12.627 /-32

t =.395

t = -57 - 44.373 / -32

t =  -101.373 /-32

t =3.168

Based on the above the time when the height of the ball and the bird are the same  are the intersection points.

Therefore the correct option is C.

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The complete question is:

During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = –16t2 + 65t and the height of a bird over time is modeled by the equation h = 8t + 20. What do the intersection points of the equations represent?

the height of the bird and the ball when the ball and the bird are the same distance from the player

the height of the bird and the ball when the player hits the ball

the time when the height of the ball and the bird are the same

the time when the ball and the bird hit the ground

The different strategies are: Nicky collected the similar terms together, took the LCM and then solved for x. Tavon multiplied both sides of the equation by the lowest common denominator and then solved for x.

Finding the smallest common multiple between any two or more numbers is done using the least common multiple (LCM) approach. A number that is a multiple of two or more other numbers is said to be a common multiple.

Nicky collected the similar terms together, took the LCM and then solved for x. This method is quick but can result in wrong answer if the fractions are solved incorrectly.

Tavon on the other hand multiplied both sides of the equation by the lowest common denominator and then solved for x. The method is time consuming, yet it simplifies the equation significantly.

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The first five terms in the recursive sequence defined by a_1 = 150 and a_n = 0.85a_n-1 are:

a_1 = 150

a_2 = 0.85150 = 127.5

a_3 = 0.85127.5 = 108.375

a_4 = 0.85108.375 = 91.8125

a_5 = 0.8591.8125 = 77.853125

A recursive sequence is a sequence of numbers where each successive term is determined by the value of previous terms, typically by applying a mathematical operation to those terms.

Therefore, the first five terms in the recursive sequence are 150, 127.5, 108.375, 91.8125, and 77.853125.

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On solving the provided question, we can say that by AAS property both triangles are congruent.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

in this triangle

one sides are equal

and two angles are equal.

so by AAS property they are congruent/

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Answer: (-12, 10)

Step-by-step explanation:

I will assume that you want to solve for x and y

9x + 11y = 2      (1)

3x + 4y = 4       (2)

Multiply (2) by 3:

9x + 12y = 12      (3)

Do (3) - (1):

y = 10

x = -12

(x, y) = (-12, 10)

The translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3 best describes the sequence of transformations that maps JKLM to PQRS. The solution has been obtained using the concept of transformations.

What is transformation?

An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation.

The shape in two dimensions before any alteration is known as a pre-image or inverse image. The shape after transformation is the image.

In order to find that which option best describes the transformation, we need to evaluate all the options.

A. reflection over line n, then dilation centered at the origin with scale factor 3

This is not the correct description of the transformation because PQRS is 1/3 of JKLM and 2 units left and 5 units down to the original which is not described in the statement.

B. reflection over line n, then dilation centered at the origin with scale factor 1/3

This is not the correct description of the transformation because PQRS is 1/3 of JKLM which is correct but it is also 2 units left and 5 units down to the original which is not described in the statement.

C. translation left 2 and down 5 units, then dilation centered at the origin with scale factor 3

This is not the correct description of the transformation because PQRS is 1/3 of JKLM which is not described in the statement.

D. translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3

This is the correct description of the transformation because PQRS is 1/3 of JKLM which is correct ,it is also 2 units left and 5 units down to the original which is described in the statement.

Hence, the translation left 2 and down 5 units, then dilation centered at the origin with scale factor 1/3 best describes the sequence of transformations that maps JKLM to PQRS.

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The function that gives Ngozi's salary is S(t) = 24,000(1.035)^t. Where t is the number of years after she starts to work.

What is an exponential function?

A mathematical function of form f (x) = a^x is an exponential function. where x is a variable and an is a constant known as the function's base. The transcendental number e, which is approximately 2.71828, is the most commonly encountered exponential-function base.

Given that the starting salary is $24,000.

Each year, she earns a 3.5% raise.

The increase of salary follows a compound.

The formula of compound is

A =P(1+r)^t.

Here P= 24,000, r = 3.5% = 0.035.

After t year, the salary will be:

S(t) = 24,000(1+0.035)^t

S(t) = 24,000(1.035)^t.

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Answer: We can use the relationship between the height of an object, the length of its shadow, and the length of the shadow of a person known to be a certain height, to find the height of the gym.

The relationship can be represented using the following proportion:

gym height / shadow of gym = Pedro's height / shadow of Pedro

We can set up the proportion and cross-multiply to get:

gym height * shadow of Pedro = Pedro's height * shadow of gym

We know that Pedro's height is 5.5 feet and his shadow is 10 feet, and the shadow of the gym is 40 feet, so we can substitute these values into the proportion and solve for the gym height:

gym height * 10 = 5.5 * 40

gym height = (5.5 * 40) / 10

gym height = 22 feet

So, the height of the school gym is 22 feet.

Step-by-step explanation:

2 x + 4 y = 1 has the simultaneous equation [tex]x=\frac{1-4 y}{2}[/tex] .Eliminate a variable by using the elimination procedure.

for x, solve, [tex]2 x+4 y=1 \quad: \quad x=\frac{1-4 y}{2}[/tex]

2 x + 4 y=1

4 y in the correct direction

2 x = 1 - 4 y

multiply both sides by two.

[tex]\frac{2 x}{2}=\frac{1}{2}-\frac{4 y}{2}[/tex]

Simplify

[tex]x=\frac{1-4 y}{2}[/tex]

You can find answers to both unknowns in two separate equations that have the same two unknowns in each. The three most popular approaches to solving are addition/subtraction, substitution, and graphing. simultaneous problems Equations: Elimination, Substitution, Graphical, and Matrix Methods | Vivax Solutions.

Steps for Solving Multiple Equations at Once Using the Elimination Method. Selecting a variable to remove is step one. Find the LCM of the variable's coefficients in step two. Step 3: Multiply the equations' two sides to create the coefficient of the variable you want to remove from the LCM.

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Hi! So you need CE.  CD + DE = CE, and the values are 14 + 2x + 3.  That's 17 + 2x.  Is there any more given information?  I don't see what's available.  Otherwise that may be the only way you can simplify it.

The given piecewise  function value of k  is [tex]\frac{1}{6}[/tex].

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). The definition of a function is a relationship between a set of inputs and each output. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Here the given function is h(x)=[tex]\left \{ {{\frac{x-3}{x^2-9} for -3,3} \atop {k} for x=3 } \right.[/tex]

Here h(x) = [tex]\frac{x-3}{(x-3)(x+3)}[/tex] = [tex]\frac{1}{x+3}[/tex] for x≠3,-3

The given function h is continuous at x=3 then

[tex]\lim_{x \to \3} h(x)= \lim_{n \to \3} h(x) = h(3)[/tex]

=> [tex]\lim_{x \to \3} \frac{1}{x+3} = \lim_{x \to \2} k = k\\[/tex]

=> k = [tex]\frac{1}{3+3} = \frac{1}{6}[/tex]

Hence the value of k is [tex]\frac{1}{6}[/tex].

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The value of side c round to the nearest tenth is equal to 15.5 cm.

In Trigonometry, the law of sines is sometimes referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is modeled or represented by this mathematical expression:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

First of all, we would determine the angle subtended by side c;

Note: The sum of all the interior angles of a triangle is equal to 180.

a + b + c = 180

150° + 12° + c = 180°

c = 180° - 162°

c = 18°

By applying the law of sines, the side length of c is given by;

sin12/10 = sin18/c

c = 10sin18/sin12

c = 3.1/0.2

c = 15.5 cm.

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Answer:

Associative property, then distributive property

Step-by-step explanation:

The  total no : of game=20

team lost=20%

team won=24

assume no: of games played=100x

no: of games lost=20

actual no: of game lost=420x=4

x=1/5

the total no: of game played=100*(1/5)=20

so the  total no : of game=20

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