Manicure sets at nails by Nina are marked up 47% from the cost of $8.36. What does a manicure set cost in Nina’s store?

Answers

Answer 1

Answer:

The cost of a manicure set in Nina's store is $12.30.

Step-by-step explanation:

To find the cost of the manicure set in Nina's store, you can use the following formula:

Selling price = Cost + Cost * Markup percentage

Substituting the given values into this formula, you get:

Selling price = $8.36 + $8.36 * 47%

To find the value of the markup percentage, you can convert 47% to a decimal by dividing it by 100: 47/100 = 0.47

Then you can use this value in the formula to find the selling price:

Selling price = $8.36 + $8.36 * 0.47


Related Questions

(100 points) Need help asap!


The function f(x) is defined below. What is the end behavior of f(x)?

[tex]f(x)=\frac{1}{9} x^{12}[/tex]


A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞


The function f(x) is defined below. What is the end behavior of f(x)?

[tex]f(x)=-\frac{1}{10} x^{18}[/tex]


A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞

Answers

The end behavior of the function f(x) = 1/9 x¹² is

D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞

The end behavior of the function f(x) = -1/10 x¹⁸ is

B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞

What is end behavior?

The end behavior of function typically says the characteristics of the function at the ends

How to find the end behavior of function

The given function is:

f(x) = 1/9 x¹²

The positive exponents will mean that x will always yield positive values hence f(x) is always positive

f(x) = -1/10 x¹⁸

The positive exponents will mean that x will always yield positive values however the negative constant -1/10 will make f(x) always negative hence f(x) is always negative

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Please help I don’t understand this

Answers

On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

we have

L = 20 cm

and B = 10 cm

Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.

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You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Answer: $272

Step-by-step explanation: you would multiply 250 * 0.022 = 5.5

then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272

An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage

Answers

The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%

What is tax rate?

The tax rate is the percentage of an income or an amount of money that has to be paid as tax.

To find the tax rate of $31.50 from $450

The formula is

Amount taxed/Principal amount x 100

= $31.50/$450 x100

=$3150/450

=7%

Hence, the tax rate is 7%

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what is the cosine of π/3

Answers

Answer: 1/2

I recommend printing out a sheet of exact trigonometric functions or using a unit circle to answer problems like these if you haven’t memorized some of them. Or just use a calculator in radians mode if you’re allowed to.

7 - Select the equation that represents a true statement.
Mark all that apply.
A. 2+3 × 4 = 22 +12
B. z+zx9 = 9z O
C. -8y + 4.3y + 3.7 = 0
D. 12-1.8b+ 1.8b = 1.8b
E. m8+7(8) = m​

Answers

So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A. 2+3 × 4 = 22 +12 is not a true statement, because the order of operations is not followed, multiplication should be done before addition.

B. z+zx9 = 9z is not a true statement, because it is not clear what the operation is between z and x, and what the operation is between x and 9

C. -8y + 4.3y + 3.7 = 0 is a true statement because it is a linear equation with one variable y, it represents a straight line.

D. 12-1.8b+ 1.8b = 1.8b is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.

E. m8+7(8) = m is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.

So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0

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Please help me I can’t figure it out

Answers

The number of times each number divides is 8 divides LCM into 11 times

11 divides into LCM 8 times and 22 divides into LCM 4 times .

What is LCM ?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

The LCM of 8 , 11 and 22 is 88

∴ 8 divides into LCM 11 times

11 divides into LCM 8 times

22 divides into LCM 4 times

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Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?

Answers

Roller coaster B has greater top speed than roller coaster A.

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given,

speed of roller coaster A = 110ft./s

speed of roller coaster B = 85mph

1 mile = 5280 feet

⇒ 85 mile = 5280 × 85 = 448800 feet

1 hour = 3600 seconds

speed of roller coaster  B = 448800/3600 ft/s = 124.67 ft/s

comparing speed of both

Speed of roller coaster B > speed of roller coaster A

Hence roller coaster B has greater top speed.

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the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f

Answers

Answer: ordered pairs

Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?

Answers

Answer:   20

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

Explanation:

1 balloon = 0.7 ft^3 of helium

200 balloons = 200*0.7 = 140 ft^3 of helium

Katerina needs 140 cubic feet of helium to fill all 200 balloons.

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

1m^3 = 35ft^3 which is approximate

0.2 m^3 = 0.2*35 = 7 ft^3

Each canister holds approximately 7 cubic feet of helium.

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

To summarize so far.

Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.

Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.

Set this equal to the amount she needs (140) and solve for x.

7x = 140

x = 140/7

x = 20

Katerina needs 20 canisters.

Use the binomial theorem to expand expressions 1-4 and answer question 5.

1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5

Answers

On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]  is = 16 and 1

what are polynomials?

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

here,

[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]  

as x = 0 and y = 1

answer   is = 16 and 1

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Write the number 4,207 in expanded form

Answers

Answer:

That's easy! four thousand two hundred and seven or 4,000+200+7

Step-by-step explanation:

3/4 of the children in a school have blue eyes the rest have brown eyes. if 84 children have blue eyes how many have brown eyes?

Answers

Answer:

Let the total number of people in the group=x

So total number of men =3x/8

Hence total number of women=5x/8

No. of men having brown eyes=2/3*3x/8=x/4

Total no. of people having brown eyes=3x/4

No.of women having brown eyes

=3x/4 -x/4=2x/4=x/2

No. of women who don't have brown eyes= 5x/8-x/2 = x/8

So the fraction is x/8x= 1/8

Step-by-step explanation:

Answer: 28 children

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.

First, we would need to figure out the total number of students. To do this, we can divide 84 by 3, then add that to the total.

84 ÷ 3 = 28

28 + 84 = 112

This means that there are 112 students in the classroom.

If 3/4 of the children in the school have blue eyes, we know that 1/4 of the children will have brown eyes. We can convert 1/4 into a decimal, or into a percentage, to get the number of children with brown eyes.

1/4 = 0.25 = 25%

To figure out how much 25% of 112 is, we can simply multiply 112 by 0.25.

112 × 0.25 = 28

So, this means that there are 28 children with blue eyes in the school.

Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find ​P(5​) when μ = 9

Answers

Answer: 0.155

Step-by-step explanation:

To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:

P(k) = (μ^k * e^(-μ)) / k!

Where:

P(k) is the probability of the event occurring k timesμ is the meane is the base of the natural logarithm ( approximately 2.71828)k! is the factorial of k (k factorial)

Plugging in the given values, we get:

P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550

So the probability of the event occurring 5 times is approximately 15.5%.

What is the solution to the system of equations?
{x+y=4
{x=y=1
O (3, 1)
O (2, 2)
O (1/2, 3/2)

Answers

Answer:

hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

=> y+ x = 3

=> y= 3-x

=> x= y = 1

=>3-x =1

=> x = 2

=> y = 2

(2,2)

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

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Susan invested a total of $9000 in two accounts. One account pays 3% interest and the other account pays 6% interest. The total return from both accounts was $450.

Answers

The money invested in a  account with 3% interest is $3000 and the money invested in a  account with 6% interest is $6000.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, Susan invested a total of $9000 in two account.

One account pays 3% interest and the other account pays 6% interest.

Let the money invested in a  account with 3% interest be x.

Then, the money invested in a  account with 6% interest be 9000-x.

The total return from both accounts was $450.

Here, (x×3×1)/100 + ((9000-x)×6×1)/100 =450

3x+54000-6x=45000

54000-3x=45000

3x=9000

x=$3000

So, 9000-x=$6000

Therefore, the money invested in a  account with 3% interest is $3000 and the money invested in a  account with 6% interest is $6000.

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Below are graphs of several functions. Which functions have the specified domain and range ? There may be more than one correct answer

Answers

For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.

What do you mean by function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

What are domain and range of the function?

A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.

domain : (x | x  3/2)

range : (-∞ , 2)

For these values, Option B , C and E holds that they exists when x  3/2 and it's output that is y exists between  (-∞ , 2).

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There is a proportional relationship between the weight and total cost of a bag of lemons. One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94. Describe how you would graph the proportional relationship i need help asp

Answers

There is a directly proportional relationship between the weight and total cost of bag of of lemons.

What is constant of proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant.

Given data :

One bag weighs 2.4 pounds and cost $5.28.

Another bag weighs 2.7 pounds and cost $5.94

2.4k = 5.28

k= 2.2

2.7k = 5.94

k = 2.2

k > 1

The weight and total cost of bag of of lemons is directly proportional, so when weight of lemon increases, the cost of lemon also increases.

Therefore, there is a directly proportional relationship between the weight and total cost of bag of of lemons.

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7 - 13a = 27 solve for A

Answers

Answer:

a = -20/13

Step-by-step explanation:

7 - 13a = 27

-13a = 20

a = -20/13

Let's check

7 - 13(-20/13) = 27

7 + 260/13 = 27

7 + 20 = 27

27 = 27

So, a = -20/13 is the correct answer!

Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D

Answers

The correct option regarding which of the sentences represents a trigonometric identity is given as follows:

b. None of the equations are identities.

What is a trigonometric identity?

A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]

The first relation is given as follows:

[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]

The tangent and secant equations are given as follows:

tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).

Hence:

4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)

4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)

4cos(x)tan(x)sec(x) = 4tan(x).

Meaning that the first statement is not an identity.

The second relation is given as follows:

[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

With a single denominator, we have that:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

The secant identity is given as follows:

[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]

Hence:

[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]

[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]

Is also a false statement, hence neither is an identity and option B is correct.

Missing Information

The statements are given by the image presented at the end of the answer.

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Need it ASAP, please!!!

Answers

Answer:

27y - 45 + 7z

4 is the slope of a line y - 4x = 0 true or false​

Answers

it is false but 4 is not y-4x=0

Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.

Answers

Answer:

Step-by-step explanation:

Please screenshot and write the answer on the photo.

Answers

1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.

➜ The line intercepts the y-axis at 3.

2] Answer: y = 3x

Step-by-step explanation:

➜ This line is going down from the bottom left to the top right, so it will have a positive slope.

➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.

➜ The line intercepts the y-axis at 0.

3] Answer: y = x - 4

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.

➜ The line intercepts the y-axis at -4.

Helpp!! Solve the system by graphing.

Answers

Answer - solution to the equations ( 3, -2)

See attached graph showing where the two lines intersect, that is your solution

(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo

Answers

Answer:

  Line D

Step-by-step explanation:

You want to know which line is not parallel or perpendicular to the other given lines:

 A: 2y -x = 2

  B: 4y = -8x -4

  C: y = -2x +4

  D: 5y = 10x +15

Standard form

We can write each of these equations in standard form to make it easier to compare them. That form is ...

  ax +by = c

where a > 0 and a, b, c are mutually prime.

The equations are ...

  A: x -2y = -2

  B: 2x +y = -1

  C: 2x +y = 4

  D: 2x -y = -3

Parallel lines

Equations with the same coefficients of x and y will be parallel:

  2x +y = -1  and  2x +y = 4 . . . . lines B and C

Perpendicular lines

Equations with coefficients that have been swapped, with one negated, will be perpendicular:

  x -2y = -2  and  2x +y = -1 . . . . lines A and B

Line A is perpendicular to parallel lines B and C, so line D is the odd one out.

  Line D doesn't fit.

Every time an insect jump forward the distance covered is half of previous jump. if the insect initially jumped 8.4cm calculate to the nearest two decimal places distance of sixth jump​

Answers

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.

The equation is given as,

aₙ = 8.4 · (1/2)ⁿ⁻¹

The distance that he jumped in the sixth jump will be given as,

a₆ = 8.4 · (1/2)⁶⁻¹

a₆ = 8.4 / 64

a₆ = 0.13125

a₆ ≈ 0.13

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

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-√8 - √54 + 2√6 how to simplify

Answers

Answer:

6√2

Step-by-step explanation:

-√2×2×2 -√2×3×3×3 + 2√3×3

-2√2 - 3✓6 + 2×3

-2√2 - 3√2×2 +2 + 6

6√2

Which is 70% of 2,000?

A.14

B.70

C.140

D.700

E.1400

Answers

Answer:

Option E) 1400

Step-by-step explanation:

Based on the given conditions, formulate: 70‰ x 2000

Convert the percentage to decimals: 0.7 x 2000

Calculate the product or quotient: 1400

Hence , the answer is 1400

Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.

0.8d (yes or no)

d – 0.2 (yes or no)


d – 0.2d (yes or no)


1 – 0.2d (yes or no)

Answers

No no yes …………………………..
Other Questions
What is the Selective Service Act and why is it important? 8. How effective is the speakers response to counterclaims or alternate claims? Use evidence from the text to support your answer. Type your answer here 6. Does the speaker use fallacious reasoning or logical fallacies? Use evidence from the text to support your answers. Type your answer here. for Patrick Henrys "Give Me Liberty, or Give Me Death!" speech (1775) Frederick Douglasss address, "What to the Slave Is the Fourth of July?" (1852) What is 507 less than 607 Which of the following is true regarding the value of high versus low culture?A) High culture is much more valuable than low culture.B) Low culture is much more valuable than high culture.C) It is difficult to debate the worth of high and low culture.D) Popular culture is preferred over both high and low culture. Consider the following code segment. int[] nums = {10, 5, 8, 13}; for (int i : nums) { System.out.print(i + " "); } What is printed when this code segment is run? 2. A recent study of 35 students determined that the mean number of hours per week they played video games was 16.6 hours. The standard deviation of the population was 2.8 hours. Find a 95% confidence interval of the population mean. You can read 12 pages of a book in 15 minutes.How many hours will it take you to read a 312-page book? Anna wants to buy 4 sweaters. The sweater come at a discount rate. If you buy one sweater regular price the other sweater is 40% off. How much percent is off of each sweater? solve 2+n=0(mod6)solve2+(3+n)=1 (mod6) The spread of liberal ideas discussed in the passage was most likely a result of which of the following Sally makes craft kits. She needs 14 colored tiles for each kit. The area model represents the number of colored tiles in 15 kits. Drag the number to complete the area model. Numbers may be used once, more than once, or not at all. 4,10,100,50,20,40,9,5 To make a diagnosis of a sexual disorder, the symptoms must be _____ and/or causing _____ in an important area of the individual's life. What are some benefits of dynamic exercises prior to playing volleyball how it will prepare your body leading to the game? The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and . In what ways did the river SOCIETIES and MOMADS take control of and use their ENVIORONMENT in what ways could they not control their ENVIRONMENT Which of the following developments in the Western Hemisphere most directly resulted from the French Revolution?answer choicesthe expansion of the slave trade in the Americasthe colonization of Brazilthe British conquest of Quebecthe successful slave rebellion in Haiti What is the size of Nicaragua? Can hormones turn genes on and off? Fictional girl who says i go to all the weddings in the white and gold room and i usually stay for the reception? (crossword clue) The ratio of the measure of an exterior angle of a triangle to the measure of the adjacent interior angle is 1:4. Is thetriangle acute or obtuse? Justify your answer.A.) Acute; the measure of the interior angle must be 144.B.)Acute; the measure of the interior angle must be 36.C.)Obtuse; the measure of the interior angle must be 144D.)The triangle could be acute or obtuse, depending on the measures of the other two angles.