An antique has a price tag of $467. The sales tax rate for the county is 9
%
. How much sales tax will be due?



Write answer to the nearest cent.

Answer:

3. 96

Step-by-step explanation:

x= 180°-84°

x=96°

so number 3 is the right answer.

Answer:

[tex]25 \times 25[/tex]

Step-by-step explanation:

Based on the number of respondents with excellent health and those don't have health coverage, the probability that the respondent has excellent health or doesn't have health coverage is 33.61%

Out of 20,000 respondents, 2,524 people did not have health coverage. Out of those same 20,000 people, 4,198 respondents had excellent health coverage.

The probability that the respondent has excellent health or doesn't have health coverage is therefore:

= Probability that random person does not have health coverage + Probability that a respondent has excellent health coverage

= (2,524 + 4,198) / 20,000

= 33.61%

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Answer:lake a:7 lake b:9 lake c 21

Step-by-step explanation:

The equilibrium price is $12.

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

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Answer:

First box: 15

Second box: 8

Third box: 3

Fourth box: 5

Fifth box: (x+3)(x+5)

Step-by-step explanation:

Factor the trinomial so that it will multiply nicely. 3 and 5 add up to 8 while they multiply to 15

The ratio as a fraction in lowest terms is 23 : 90

Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.

So,

46 minutes : 3 hours

= [tex]\frac{46 \ minutes}{ 3 \ hours}[/tex]

We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,

= [tex]\frac{46 \ minutes}{ 180\ minutes}[/tex]

= [tex]\frac{46 }{ 180}[/tex]

= [tex]\frac{23}{ 90}[/tex]

=23:90

Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.

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The ratio as a fraction in lowest terms is 23 : 90

Much like fractions, ratios are a comparison of two quantities containing differences in characteristics or properties. Change any worded ratios, such as "one of two" or "one to two," into numerical ratios. For example, if a sentence reads "There are two oatmeal cookies for every four chocolate chip cookies," it would be written as 2:4 ratio of oatmeal cookies to chocolate chip cookies. Convert your ratios to fractions by replacing the "colon" symbol with a "divide" symbol. For example, a ratio of 2:4 is the same as 2/4. Simplify your fraction by dividing the top and bottom by the same number until you cannot divide any longer. For example, you can divide 2/4 by the number "2" on both the numerator and denominator. The result would be a simplified fraction of 1/2.

So, 46 minutes : 3 hours

[tex]=\frac{46 \ minutes}{3 \ hours}[/tex]

We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,

[tex]=\frac{46 \ minutes}{180 \ minutes}\\[/tex]

= [tex]\frac{46 }{180}[/tex]

= [tex]=\frac{23}{90}[/tex]

=23:90

Therefore , the ratio as a fraction in lowest terms of 46 minutes to 3 hours is 23:90.

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Answer:

the only answer i could think of is because

6*5= 30 which is the remainder of the wall that needs to be painted

Answer:

if u might be giving replies in short like hmm... gn and all she meant that only ig

hope it helps.....

Answer:

0.625

Step-by-step explanation:

x=2/3, y=0.6

then 1/4xy = 1/(4×2/3×0.6)

= 0.625

Answer:

Step-by-step explanation:

Function maximum

Answer:

y < 1

[tex]( - \infty \: 1)[/tex]

Step-by-step explanation:

8y - 5 < 3

8y < 8

y < 1

[tex]( - \infty \: 1)[/tex]

By answering the above question, we may state that by equation A = S + 18 = 24 + 18 = 42 and Alex thus owns 42 books.

Using the equals notation (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of three mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are inscribed on opposite sides of a letter. Most of the time, the symbol and the particular software match. e.g., 2x - 4 = 2 is an example.

Let's designate the quantity of books Alex has as "A" and the quantity of books his sister Scout owns as "S."

We learn the following from the issue:

A = S + 18 (Alex possesses 18 more books than his sister) (Alex owns 18 more books than his sister)

A + S = 66 (combined, they possess 66 books) (together, they own 66 books)

These two equations can be used to determine A:

The first equation is substituted into the second equation to yield:

(S + 18) + S = 66

2S + 18 = 66

2S = 48

S = 24

Scout has 24 books, thus we can apply the first equation to determine how many books Alex has:

A = S + 18 = 24 + 18 = 42

Alex thus owns 42 books.

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In mathematical modelling, we take a real-world problem and write it as an equivalent mathematical problem.

We then solve the mathematical problem, and interpret its solution in terms of the real-world problem.

After this we see to what extent the solution is valid in the context of the real-world problem.

Mathematical modeling is one of the bases of mathematics education. Mathematical modeling is described as conversion activity of a real problem in a mathematical form. Modeling involves to formulate the real-life situations or to convert the problems in mathematical explanations to a real or believable situation.

It's extremely precise, since it's math-based, which allows you to develop accurate ideas and assumptions. It's concise, with clear and established rules. It gives you direction when trying to solve a problem.

characters of modeling;

It may be changed or manipulated with relative ease.

It is simplification/Idealization. Mathematical modeling has many benefits related to real-world problems, but the main disadvantages are process simplification, specific rules of the model, and lack of information or data monitoring.

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Answer: 14a + 4b

Step-by-step explanation: 2(4a+b) part equals 8a + 2b because it is distributive property and then 2(3a+b) equals 6a+2b then put the a's. 8a + 6a = 14a then the b's. 2b+2b= 4 b. Put them together and it gives you 14a + 4b.

Step-by-step explanation:

2(4a+b)+2(3a+b) remove the brackets

2(4a+b)+2(3a+b) =

8a + 2b + 6a +2b =  (no brackets)

14a + 4b                    (solution)

The percentage of the total capacity being used is mathematically given as  98.4 %

Generally, the equation for the Lateral area is  mathematically given as

Lateral area =[tex]\frac{\theta}{2} \gamma^2-(\gamma-h) \sqrt{h(2-h)}\\[/tex]

Where

[tex]\theta=2 \cos ^{-1}\left(1-\frac{h}{\gamma}\right)=2 \cos ^{-1}\left(1-\frac{1}{11}\right)\\\\\&\Rightarrow F=\frac{\theta}{2}(11)^2-(11-1) \sqrt{1(2-1)}\\\\&\Rightarrow F=\frac{2\left(\cos ^{-1}(10 \% 11)\right.}{2}(11)^2-(10) \sqrt{1}\\\\&\Rightarrow F=6.167 \mathrm{ft}^2[/tex]

Hence Volume of the whole cylinder is

V=\pi 11^2 l

V=121 \pi l

Generally, the equation for Total capacity is  mathematically given as

[tex]V_1=\pi(11)^2 L[/tex]

[tex]=121 \pi 2ft^2[/tex]

Area of cross-section:-

[tex]\begin{aligned}A &=\int_{-11}^{10}\left[\sqrt{1^2-y^2}-\left(-\sqrt{u^2-y^2}\right)\right] d y \\&=2 \int_{-71}^{10} \sqrt{1^2-y^2} d y . \\A & \cong 373.96 \mathrm{ft}^2\end{aligned}[/tex]

In conclusion, the Percentage of total capacity

[tex]\% TC=\frac{121 \pi l-6.167 l}{121 \pi l} \times 100 \\[/tex]

[tex]\% TC =\frac{373.77}{3799+100}=98.37 \%[/tex]

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Canon has 12 jigsaw puzzles in total.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let us say puzzles solved by :

Arthur be x

Conan be y

Doyle be z

also,

Here, it is given that :

Arthur has completed four times as many jigsaw puzzles as Conan which means :

x = 4y.......(1)

Doyle has completed three times as many jigsaw puzzles as Conan which  means :

z = 3y.....(2)

Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :

z = x-12....(3)

now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :

3y = x-12

3y = 4y-12

4y-3y = 12

y = 12

Therefore, Canon has 12 jigsaw puzzles in total.

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The relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.

Given, we have the frequency table grades A,B,C,D,F with frequencies of 5,11,13,4, and 1 respectively.

According to the question the relative frequency, the specific frequency is divided by the total frequency.

The sum of all the frequencies is called relative frequency.

= 5 + 11 +13 +4 +1 = 34

The relative frequency of the

first

class is,

A   5/34  =  0.14 =  14%

The relative frequency of the

second

class is,

B 11/34 =  0.32 = 32%

The relative frequency of the

third

class is,

C 13/34  =  0.38  = 38%

The relative frequency of the

fourth

class is,

D  4/34  = 0.11   = 11%

The relative frequency of the

fifth

class is,

F  1/34 =   0.029    = 2.9%

Hence, the relative frequencies of the five classes are 14%, 32%, 38%, 11%, 2.9%.

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Answer:

c is the answer

Step-by-step explanation:

hint is the direction of movement

Answer:3/4

Step-by-step explanation:

18/24 divide by 2 9/12 divide by 3 3/4

Answer:

he walks 4.5 feet every second

Step-by-step explanation:

Answer:

Step-by-step explanation:

go to school

Answer:

[tex]6^{7/2}[/tex]

Step-by-step explanation:

[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]

Answer:

This question was previously solved by an expert

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{15}{4}[/tex] u

Step-by-step explanation:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , and [tex]\frac{d}{dx}[/tex] (constant) = 0

given

x = 2u² + 1

[tex]\frac{dx}{du}[/tex] = 4u , then

[tex]\frac{du}{dx}[/tex] = [tex]\frac{1}{4u}[/tex]

y = 5u³ + 1

[tex]\frac{dy}{du}[/tex] = 15u²

then

[tex]\frac{dy}{dx}[/tex] = 15u² × [tex]\frac{1}{4u}[/tex] = [tex]\frac{15}{4}[/tex] u

The linear function that connects the points with coordinates (0,3) and (1,8) is given by:

y = 3 + 5x.

The points on the graph are missing, and the problem couldn't be found on a search engine, hence we are going to suppose that the points are (0,3) and (1,8).

A linear function is modeled according to the following rule:

y = mx + b

In which:

Considering points (0,3) and (1,8), we have that:

Hence the linear function that connects the points with coordinates (0,3) and (1,8) is given by:

y = 3 + 5x.

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Answer:

B

Step-by-step explanation:

The correct statement that is missing in the proof is m<5 + m<2 = 180 degrees

Supplementary angles are angles that sums up to 180 degrees. From the third proof, we can see that the measure of m<1 is equivalent to m<5.

Also from the 4th statement <1 and m<2 are supplementary meaning that the sum of <1 and <2 is equivalent to 180 degrees.

Since m<1 = m<5, we can replace m<1 as m<5 in the equation m<1 + m<2 = 180 from statement 4 to have m<5 + m<2 = 180 degrees by the substitution property.

Hence the correct statement that is missing in the proof is m<5 + m<2 = 180 degrees.

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Answer:

600 feet

Step-by-step explanation:

If you moved Both Samantha and Ryu two units to the left, you would see that the distance would be equal from 0 to -600.  Distance cannot be negative so the distance between the two would be 600 feet.