Lee bought a T-Shirt originally priced at $55 that was reduced in price by 40%. What was the reduced price?​

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

D. x=4

Step-by-step explanation:

32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles

m<2=m<RQP

m<1=m<SQP

m<RQP+m<SQP=m<SQR

m<2+m<1=m<SQR

m<2+m<2=m<SQR

(2+7x)+(2+7x)=16x-4

2+7x+2+7x=16x-4

2+2+7x+7x=16x-4

4+14x=16x-4

4-4+14x=16x-4+4

4+4+14x=16x-4+4

14x+8=16x

14x-14x+8=16x-14x

8=2x

x=8/2

x=4 ==> D

Answer:

If you are having trouble understanding the graph, it may be helpful to break it down into smaller pieces. Start by looking at each axis and what it represents. Then, look at each data point and see how it relates to the axes. Finally, look at the overall shape of the graph and what it is trying to tell you. If you are still having trouble understanding the graph, you may want to reach out to someone who is knowledgeable about graphs or data analysis for assistance.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

To find the value of n when d = 3, we can use the given inverse proportionality relationship between n and d²:

n ∝ 1/d²

This can also be written as:

n = k / d²

where k is a constant of proportionality.

We are given that n = 5 when d = 12. Plugging in these values into the equation, we get:

5 = k / 12²

To solve for k, we can multiply both sides of the equation by 12²:

5 * 12² = k

k = 720

Now that we have the value of k, we can use it to find the value of n when d = 3:

n = k / d²

n = 720 / 3²

n = 720 / 9

n = 80

So, the value of n when d = 3 is 80.

Answer: See attached.

Step-by-step explanation:

        This slope-intercept form equation shows us that there is a y-intercept of -7. This means that (0, -7) will be a point on the line. Next, we have a slope of positive 3. This means we will count up three units, right one unit, plot a point. Then we repeat.

Answer:

start at the y-intercept, plot some points using the slope, then connect them using a straight line.

Step-by-step explanation:

Generally you'll have an equation in slope-intercept form, which is denoted as: \(y=mx+b\)

This is a really useful form for a couple of reasons, and it has two key features. Firstly, the "m" represents the slope of the linear equation.

This makes sense the definition of slope is: \(\frac{\text{change in y}}{\text{change in x}}\)

and we can generally define the points:

\(\text{at x = 1, y = }m(1)+b\implies m+b\\\text{at x = 2, y = } m(2)+b\implies m + m + b\\\text{at x = 3, y = }m(3) + b\implies m + m + m +b\\\text{and so on...}\)

as the x value increases by 1, the change in y is the "m" value, we have one more "m" than the previous x-value, so the slope is the "m" value, which is the coefficient of the x variable.

The second key feature of slope-intercept form is the y-intercept, which is represented as "b" in this form. This also makes sense because the y-intercept is simply when the x-value is zero, and if you plug in x=0 into the equation, you're only left with the "b" value

Knowing these two things we can analyze the equation given:

\(y = 3x-7\)

since it's given in slope-intercept form, we know that slope = 3, and y-intercept = -7. We immediately know one point, which is the y-intercept, since the x-value is going to be zero at the y-intercept, so one point on the graph is: (0, -7)

now from this point we can draw the graph by going to the right one, and up three, by definition of a slope (as x increases by 1, the y-value increases by 3).

We can do something similar on the left side, except instead of right one and up three, we go left one, and down three. You may be asking why down three? Well as you go right one, you go up three, this means if you compare the previous point to the new point, the previous point is down three compared to the new point (which is to the right one), so if you were to go back, you would be going left one and down three.

Now from these points you can do the same thing to extend the line a bit, and since it's a linear equation you can connect them using a straight line.

I also attached a graph from desmos to illustrate what I was saying a bit and also show the graph.

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Step-by-step explanation:

log5(2)+log5(x)-log5(x-1)=log5(3)

log5(2x) = log5(3)+log5(x-1)

log5(2x) = log5(3Xx-1)

2x = 3x-3

x= 3

The pattern is that two larger numbers differ by 2 and the smaller is the root of twice the sum of the larger two.

The given formula gives rise to the above observations. it tells you

a = 2x

b = x^2 -1

c = x^2 +1

This is a special case of Euclid's formula ...

a = 2mn

b = m^2 -n^2

c = m^2 +n^2

for n=1.

Since m and n can be any integer values, there are certainly many other. Pythagorean triples that do not match the formula given in the problem. Using n=2, for example, the triples are:

a = 4x

b = x^2 -4

c = x^2 +4

Some triples from this set of formulas are (5, 12, 13), (20, 21, 29), (28, 45, 53), (36, 77, 85).

It should bm be noted that triples from this set of formulas will not match directly those from the formulas in the problem statement, but triples from both lists may reduce to the same primitive triple.

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Complete question

Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple.

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings.

x-value Pythagorean Triple

3 (6,8,10)

4 (8,15,17)

5 (10,24,26)

6 (12,35,37)

Answer:

$24

Step-by-step explanation:

2/5 — dress

3/5 — remainder

1/2 of remainder = 1/2 × 3/5 = 3/10 — doll

rewrite fraction spent on dress: 4/10

dress - doll = $8

4/10 - 3/10 = 1/10

1/10 = $8

fraction of money left = 10/10 - 4/10 - 3/10

= 3/10

amount of money left = $8 × 3

$24

As a result, the point on the number line that represents 10 miles would be much more to the right and outside the bounds of the image.

The line number 10.12, for instance, refers to page 10, line 12. The part of the line number to the left of the period is referred to as the "page" or "part," and the part to the right is referred to as the "line."

A number line is a representation of numbers along a straight line. It acts as a template for grouping and contrasting numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

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Question:

The distance from Cory's home to the library is mile. Which point is at on the number line?

A. Point A

B. Point B

C. Point C

D. Point D

Using the permutation formula, we have that:

a) There are 8,648,640 ways to choose the songs.

b) There are 1,860,480 ways to choose and rank the books.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

For item a, 7 songs are taken from a set of 13, hence the number of ways is given by:

\(P_{(13,7)} = \frac{13!}{6!} = 8,648,640\)

For item b, 5 books are chosen from a set of 20, hence the number of ways is given by:

\(P_{(20,5)} = \frac{20!}{15!} = 1,860,480\)

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Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

The requried, local minimum and maxium for the given function is √2 and -√2.

We need to find the local maximum and local minimum of the function \(f(x) = 2x + 4x^{(-1)}.\)

First, we find the derivative of f(x):

\(f'(x) = 2 - 4x^{(-2)} = 2 - 4/x^2\)

Setting f'(x) = 0 to find the critical points:

\(2 - 4/x^2 = 0\)

Solving for x, we get:

x = ±√2

To determine whether these critical points are local maxima or minima, we need to examine the sign of the second derivative:

\(f''(x) = 8x^{(-3)}\)

When x = √2, f''(√2) = 8/(√2)³ = 8√2 > 0, so x = √2 is a local minimum.

When x = -√2, f''(-√2) = 8/(-√2)³ = -8√2 < 0, so x = -√2 is a local maximum.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer: 2

Step-by-step explanation:

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

Step-by-step explanation:

Take the meatballs and then add the sauce

after finishing the meat and sauce cook the pasta then

viola perfection  

Answer:

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

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

Step-by-step explanation:

that probably should be your answer

The estimator sample proportion is mathematically unbiased

Generally, the equation for is  mathematically given as

Population sample \mu=1.3

The sample to sample proprotion table will have

first column= 3,5 3,5 3,10,5,3 5,5 5,10 10,3 10,5 10,10

Second coumn= 0,0,0.5,0,0,0.5,05,0.5, total 3

The probability distribution of the distinct variance values table will have

p row=0,0.5,1, Total

probability row= 4/9, 4/9, 1/9, 1

In conclusion, The mean sample

x=3/9

x=1.3

Where

population sample \mu=1.3

\mu= x

Therefore the estimator sample proportion is unbiased for population mean

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

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Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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Answer:

375 feet

Step-by-step explanation:

The period of the function is 4π, and the amplitude is 2.

Given data ,

Let the function be represented as f ( x ) = y

Now , the value of f ( x ) is

y = 2sin ( 1/2 )x

To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).

In this case, the amplitude (A) is 2.

The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.

To find the period, we can use the formula:

Period = (2π) / |B|.

B = 1/2.

Period = (2π) / |1/2|

P = (2π) / (1/2) = 2π * 2/1 = 4π

Hence , the period of the function is 4π, and the amplitude is 2.

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The linear function that relates y to x is y = 2x - 3.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. If the function has more variables, they should all be constants or known variables in order for the function to continue to function as a linear function.

From the graph the two coordinates that can be observed are:

(1, -1) and (2, 1)

The slope is given as:

m = (y2 - y1) / (x2 - x1)

m = (1 + 1) / (2 - 1)

m = 2

The point slope form is given as:

y - y1 = m(x - x1)

Substitute the value of slope and a coordinate:

y + 1 = 2(x - 1)

y + 1 = 2x - 2

y = 2x - 3

Hence, the linear function that relates y to x is y = 2x - 3.

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Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).