You want to buy an Under Armour hoodie online, and you can spend at most $75. If you purchase online, you have to pay $8 for shipping. Write and solve an inequality to find the prices of the hoodies that you can pay.

The coordinates of a' after scaling factor of 1/3 is a'(1,1).

Given:

points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.

Rectangle:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

Scale factor :

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

scale factor = 1/3

= (3*1/3 , 3*1/3)

= (3/3 , 3/3)

= (1,3/3)

= (1,3)

Therefore the coordinates of a'(1,1).

Learn more about the coordinates here:

https://brainly.com/question/27749090

#SPJ4

Answer:

Step-by-step explanation:

The divide rule will be;

⇒ Divisor = (Dividend - Remainder) / Quotient

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Vocabulary Use the terms divisor, dividend, quotient, and remainder.

Now,

If we have to find the divisor , then we can use the divide rule as;

⇒ Divisor = (Dividend - Remainder) / Quotient

Thus, The divide rule will be;

⇒ Divisor = (Dividend - Remainder) / Quotient

Learn more about the divide rule visit:

https://brainly.com/question/4158962

#SPJ1

The proportionality constant from the original figure to the scaled copy is 2/9.

The constant of proportionality is the ratio between two given integers in what is known as a proportional relationship. The proportionality constant is also known as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

We have here

To make a scaled duplicate, a four-sided figure is resized.

The proportionality constant from the original figure to the scaled copy is: 8/36 = 10/45 = 12/54 = 2/9.

As a result, the proportionality constant from the original figure to the scaled copy is 2/9.

Hence, the proportionality constant from the original figure to the scaled copy is 2/9.

To know more about constant of proportionality, visit:

https://brainly.com/question/924976

#SPJ1

What is this question I don't understand

The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

To learn more about circles and midpoints, visit:

https://brainly.com/question/17104055

#SPJ4

Answer:

I didn't know kindergardeners had Brainly.

0.0721 proportion of the students in the class have a height less than Ikue's height.

Here, we are given that a set of elementary school student heights are normally distributed with a mean of 105 cm ⇒ μ = 105 and standard deviation 10 cm ⇒ σ = 10

The z score can be calculated using the formula-

Z = (X - μ) / σ

X is the observed value, here, X = 90.4

Since we need the proportion of student heights are lower than ikue's height, we look at the negative z score only.

Substituting the values in the z score formula we get-

Z = ( 90.4 - 105) / 10

Z = - 1.46

Now, from the z score tables, we see that the value of Z < -1.46 is 0.0721.

Thus, 0.0721 proportion of the students in the class have a height less than Ikue's height.

Learn more about z scores here-

brainly.com/question/25638875

#SPJ4

System A: (1, -1)

System B: No solution

Answer:

System A

The system has a unique solution: x=1, y=-1

System B

The system has no solution

Step-by-step explanation:

System A

Use simultaneous equations to see if we can solve the system by multiplying the second equation by -1 and adding them together:

5x + 3y = 2

-4x - 3y = -1

We get (5-4)x+(3-3)y=(2-1), which simplifies to x=1

If x=1:

5+3y=2

3y=-3

y=-1

Since we have specific answers for x and y, we can say the system has a unique solution.

System B

If y is equal to both 5x+8 and 5x+5, that means

5x+8=5x+5

Subtracting 5x from both sides we get 8=5, which is illogical.

Therefore the system has no solution

Answer: the answer is A,B,E

Step-by-step explanation:

Answer: The answer is (four/seven)

Yes, because it forms a straight line.

Arithmetic; it's a linear function.

Step-by-step explanation:

2023 Edgen

The distance between holes is 11.7m

A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.

let x be the distance between opposite holes which is the diagonal of the rectangle.

so that,

x^2 = 11^2 + 4^2

x^2 = 121 + 16

x^2 = 137

x = [tex]\sqrt{137}[/tex]

x = 11.7km

In conclusion the distance between holes is 11.7km

Learn more about diagonal: https://brainly.com/question/23008030

#SPJ1

Answer:

-626.8

Step-by-step explanation:

78 -716 + (0.8)(14)

78 - 716 + 11.2

(78 -716) + 11.2

-638 + 11.2

-626.8

Ordered triplet (-2, -6, 3) is the solution of the system of equations

3x+4y-z = 5

5x-y + 3z = -7

9x + 5y + 7z = -21

How to determine if an ordered triplet is solution to system of equations?

To determine if an ordered triplet is a solution to a system of three equations, we substitute the values of the variables into each equation. If the ordered triple makes all three equations true, it is a solution to the system.

According to the given question:

System of equations are

3x+4y-z = 5

5x-y + 3z = -7

9x + 5y + 7z = -21

Now, substituting (-1, 2, 0) in every equation to check if LHS = RHS for each.

1. 3x + 4y - z = 5

    LHS = 3(-1) + 4(2) - 0 = -3 + 8 = 5 = RHS

2. 5x-y + 3z = -7

   LHS = 5(-1) - 2 + 0 = - 5 -2 = -7 = RHS

3. 9x + 5y + 7z = -21

   LHS = 9(-1) + 5(2) + 0 = -9 + 10 = 1 ≠ RHS

Therefore (-1, 2, 0) is not the solution for the system of equations.

Similarly substituting (-2, -6, 3) in every equation.

Clearly (-2, -6, 3) satisfies the system of equations.

Hence (-2, -6, 3) is the solution to the system of equations.

To know more about system of equations visit

https://brainly.com/question/28450054

#SPJ1

Answer:

y = 10/17x - 7

Step-by-step explanation:

→ Write in standard form

y = 10/17x + c

→ Substitute in (17, 3)

3 = 10 + c

→ Solve for c

c = -7

→ Rewrite

y = 10/17x - 7

Answer:f(4)=−2f(3)=(−2)∗(+640)=−1280

In the discrete distribution the probability that x equals 5 is 0.51

A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum

The summation of the discrete probabilities must be always equal 1,

The probaility of 2 is 0.16

The probaility of 6 is 0.30

The probaility of 8 is 0.21

We need to find The probaility of 5

To find the probaility of 5, we can subtract the probaility of all other numbers from 5.

Probability (X = 5) = 1 - (0.25+0.16+0.08) = 0.51

Therefore, in the discrete probability distribution the probability that x equals 5 is 0.51

To learn more about probability refer here

https://brainly.com/question/23286309

#SPJ4

The Division Equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].

What is Division Equation?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety.

For given solution i.e. -9/14, we can write division equation as follows,

           [tex]\frac{-9* 2x}{14*2x}[/tex]

    i.e.   [tex]\frac{-18x}{28x}[/tex]

Hence, The division equation that has solution of -9/14 will be [tex]\frac{-18x}{28x}[/tex].

To learn more about Division Equation, visit

https://brainly.com/question/25289437

#SPJ1

Answer:

8551.56

Step-by-step explanation:

[tex]A=5300(1+(0.08)/12)^{(12)(6)} \approx 8551.56[/tex]

The domain and the range of the transformed graph are given as follows:

The definitions of the domain and of the range of a function are given as follows:

After the reflection over the y-axis, the domain of the function is of:

[-2,5].

(as the reflection over the y-axis changes the signal of the x-values of the function).

After the translation of 3 units right, the domain of the function is of:

[1,8].

As the translation adds 3 to each value of x of the function.

After the vertical stretch by a factor of 2, the range of the function is of:

[-6,12].

As the stretch means that all the output values of the function are multiplied by 2.

More can be learned about domain and range of a function at https://brainly.com/question/10687170

#SPJ1

Answer:

About 2.1 pounds a month.

Step-by-step explanation:

In this question, we know the amount of weight gained and the time it took, 20 pounds and 9.5 months.

to find the rate, we can do:

20/9.5

about 2.1

So, the answer will be:

about 2.1 pounds / month

Given two calculations are different.

What is a square of a number?

The square of any number can be calculated by multiplying the number by itself twice.

Let 'a' be any number then the square of this number 'a' will be

                        a² = a × a

Now  - 3² = - (3) × (3)

               = -9  ----------(I)

and (-3)² = (-3) × (-3)

              = 9 ----------(II)

By observing (I) and (II) we can say that in the second case just because of the scope of brackets the square of -3 would result in 9.

But in the first case square of 3 would give 9 and because of the minus sign, it gave -9.

Hence, These two calculations are different.

To learn more about the square of a number, visit:

https://brainly.com/question/27307830

#SPJ4

Answer:

  (2n -5)(3n -2)

Step-by-step explanation:

You want to factor 6n² -18n +10.

You want to start by finding factors of the product (6)(10), the first and last coefficients, that have a sum equal to -18, the linear term coefficient.

This sum is negative, but the product is positive, so both factors will be negative. Listing the smallest magnitude first, we have ...

  60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)

The sums of these pairs are -61, -32, -23, -19, -17, -16. This identifies the pair of interest as (-4)(-15).

From here, there are a couple of ways you can proceed. One is to write the linear term as a sum using these values:

  6n² -4n -15n +10

Now, you can factor by grouping:

  = (6n² -4n) -(15n -10)

  = 2n(3n -2) -5(3n -2)

  = (2n -5)(3n -2) . . . . . . . . the factorization you want

Another way you can do this is to write binomial factors using the leading coefficient for each one. The product of these must be divided by the leading coefficient for it to remain equal to the original trinomial.

  = (6n -4)(6n -15)/6

The denominator of 6 is used to reduce each of the binomial factors.

  [tex]=\dfrac{(6n-4)(6n-15)}{2\cdot3}=\dfrac{6n-4}{2}\cdot\dfrac{6n-15}{3}[/tex]

  = (3n -2)(2n -5) . . . . . . . the factorization you want

The statement that is used to prove the congruence of angles PTR and STQ is given by:

Lines PQ and RS intersect at an angle less than a right angle.

Congruent angles are angles that have the same measure.

One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.

The common vertex in the segment given at the end of the answer is of:

T.

The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.

The diagram is given by the image presented at the end of the answer.

More can be learned about vertical angles at brainly.com/question/1673457

#SPJ1

The area of the triangle in the image is 1/20 square centimeters.

This is a rather trivial problem.

On the image, we can see a triangle where the height and the base are known quantities.

Remember that for a triangle of height H and base B, the area is given by the formula:

A = B*H/2

Here we can see that:

H = (1/6) cm

B = (3/5) cm

Then we can replace these two fractions on the area formula, we will get:

A = (1/6 cm)*(3/5 cm)/2

A = (3/5*6 cm²)/2

A = (3/30*2 cm²)

A = (3/60 cm²) = (1/20 cm²)

That is the area of the triangle in the image.

Learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean

T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.

The z-core formula is:

Z₁=[tex]\frac{x-m}{s}[/tex]

Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.

Learn more about t-test and z-score statistic on https://brainly.com/question/16046995

#SPJ1

Complete question:

Which of the following is a fundamental difference between the t statistic and a z-score?

A) The t statistic uses the sample mean in place of the population mean

B) All of the choices are differences between t and z.

C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.

D) The t statistic uses the sample variance in place of the population variance.

If an 80% confidence interval for a proportion is found to be (0.27, 0.33), then the sample proportion would be 0.30

Sampling is frequently used to estimate the proportion of a population that has a given attribute, such as the proportion of all faulty goods coming off an assembly line or the proportion of all individuals visiting a retail store who make a purchase before leaving. The percentages for the population and sample are written as p and p, respectively. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance.

How to solve?

For this case the confidence interval is given by:

(0.27; 0.33)

We can find the estimaed proportion in the following way:

p = (0.27 + 0.33)/2 = 0.30

then the sample proportion would be 0.30

To learn more about sample proportion, visit:

https://brainly.com/question/16348463

#SPJ4

Subtracting the polynomials, 3x + 7 is subtracted from -x + 2, the result is: -4x - 5.

To find the difference of two polynomials, like terms should be combined and simplified together.

Subtracting 3x + 7 from -x + 2, we have the following:

(-x + 2) - (3x + 7)

Open the parentheses:

-x + 2 - 3x - 7

Combine like terms

-x - 3x + 2 - 7

= -4x - 5

Therefore, the result is -4x - 5.

Learn more about subtraction of polynomials on:

https://brainly.com/question/2273346

#SPJ1

The value of the quotient of the polynomial is 2x^2 + 2x + 10 and the remainder is 28

A method for solving a rational number that represents a polynomial divided by a monomial or another polynomial is called "dividing polynomials." In order to divide normally, we place the dividend and the divisor in the exact same manner.

Divide the first term of the dividend by the highest term of the divisor, which in this case is x (i.e., the term with the highest power of x).

Divide the divisor by the outcome you just got (the first term of the eventual quotient).

By following the above rules where

2x3-4x2+3x+2 is divided by the x-3, We get the following equation

where

quotient is 2x2+2x+10

and the remainder is 28

To know more about polynomials click the following link:-

https://brainly.com/question/2833285

#SPJ1