8.Gracie Lou sold 15x + 4xy in inventory at her Dance Store on Saturday. Mariella
sold -15x + 3x - 2xy on Sunday. What is their combined inventory for the weekend?

Answers

Answer 1

Here we are given that Gracie sold 15x + 4xy in her inventory and Mariella sold -15x +3x -2xy on weekends. We need to find combined inventory.

For that simplify add both the expressions as ,

15x + 4xy + (-15x) + 3x - 2xy

15x + 4xy - 15x + 3x - 2xy

Group like terms ,

(15x + 3x - 15x ) + (4xy - 2xy)

simplify,

3x + 2xy [ required answer]

And we are done!


Related Questions

look at the pictures​

Answers

The function is increasing on the interval (3, ∞)

Interval of a function

Given the rational function shown below

g(x) = -2√x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

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find the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years

Answers

The interest obtained after 4 years from a loan of $7500 is = $750

Calculation of generated interest

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%

Answers

Levada borrows $30,900 from her bank to open a florist shop at rate of 0.98% per month.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

It is given that Levada borrows $30,900 from her bank to open a florist shop. She agrees to repay the money in 18 months with simple annual interest of 5.5%.

P = $30,900

T = 18 months

Interest  = 5.5%

Interest rate =  P×R×T

5.5 = 30,900 × R × 18

R = 0.000988

Or, R = 0.98% per month.

The complete question is

"a) How much must she pay the bank in 18 months?"

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SKETCHPAD
Question 5
Given AABC shown on the coordinate plane below.
AA"B"C" = Ro (T(-4,3)(ABC))
90°
Draw AA'B'C'' if
You may use different colors for the separate transformations. Indicate your final
answer. Feel free to use the Dynamic Geometry Tool to complete the
transformations.

Answers

The attached figure represents the image of A"B"C" after the transformation

How to transform the triangle?

The transformation rule is given as:

A"B"C" = Ro90° (T(-4,3)(ABC))

This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle

From the figure, the coordinates of ABC are

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The rule of 90 degrees clockwise rotation is

(x,y) ⇒ (y,-x)

So, we have

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

The translation of the triangle by T(-4,3) is

(x,y) ⇒ (x - 4, y + 3)

So, we have

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

See attachment for the image of the transformation

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Answers

The value of x in the similar triangles is 18

How to solve similar triangles?

Similar triangles have the same shapes but may have different sizes.

Corresponding side of similar triangles are a ratio of each other.

Therefore,

UV / BC = AU / AB

Hence,

UV = 444 units

BC = 703

AU = 20x + 108

AB = 20x + 108 + 273 = 20x + 381

Therefore,

444 / 703 = 20x + 108 /  20x + 381

cross multiply

444( 20x + 381) = 703(20x + 108)

8880x + 169164 = 14060x + 75924

8880x  - 14060x  = 75924 -  169164

-5180x = -93240

x = -93240 / -5180

x = 18

Therefore, the value of x in the similar triangles is 18

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Factor completely 2x3y4 − 8x2y3 + 6xy2.

Answers

Answer:

[tex]2xy^2(xy-1)(xy-3)[/tex]

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

Given expression

[tex]2x^3y^4-8x^2y^3+6xy^2[/tex]

The greatest common factor of all three terms is [tex]2xy^2[/tex].

Factor this out:

[tex]2xy^2(x^2y^2-4xy+3)[/tex]

Complete the square:

[tex]2xy^2(x^2y^2-4xy+4-1)=[/tex]

[tex]2xy^2((xy-2)^2-1)[/tex]

Factorize further using the identity for the difference of squares:

[tex]2xy^2(xy-2+1)(xy-2-1)=[/tex]

[tex]2xy^2(xy-1)(xy-3)[/tex]

Find the y-intercept of the line.
y=0.2x-6.9
y-intercept:

Answers

Answer:

0.2

Step-by-step explanation:

y = mx + b  The slope is the number before the x.

Use the slope-intercept form to estimate the slope and y-intercept.

Slope: 0.2

y-intercept: (0,−6.9)

What is slope-intercept form?

The slope intercept form in math exists as one of the forms utilized to estimate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis.

The slope-intercept form exists y = mx + b, where m exists the slope and b exists the y-intercept.

y = mx + b

Use the slope-intercept form to estimate the slope and y-intercept.

Slope: 0.2

y-intercept: (0,−6.9)

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Compute the monthly payments for each add-on interest loan. The amount of the loan is $1150. The annual interest rate is 6%. The term of the loan is 4 years

Answers

The monthly payments for each add-on interest loan is computed to be $29.71.

Given Information and Formula Used

Principal Amount of the loan, P = $1150

Rate of Interest of the loan, R = 6%

Term of loan in years, T = 4

The formula for simple interest is given as follows,

I = (P × R × T)/100

The formula for amount of add-on interest loan is given by, A = P + I

Calculating the Interest of the Loan

Interest of the loan, I = (P × R × T)/100

Now, substituting the given values of P, R, and T in the above formula, we get,

I = $ (1150 × 6 × 4)/100

I = $ 27600/100

I = $276

Calculating the Total Monthly Payment for the Loan

Amount of loan, A = P+I

A = $1150 + $276

A = $1426

Monthly payment of the loan with interest = A/(4×12)

= $ 1426/48

= $29.71

Thus, the monthly payments for each add-on interest loan comes out to be $29.71.

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guillermo has sold 95,47,114, and 72 appliances in the last fourth months,respectively.how many appliances will he need to sell this month to maintain an average of 80 sales per month?

Answers

The number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

What is an average?

An average refers to a central value obtained after adding together several amounts and then dividing this total by the number of variables added.

An average is a central value in a dataset.

Data and Calculations:

Average sales per month = 80 units

Number of months involved = 5 months

Total for five months based on the average = 400 units

Total units sold in four months = 328 (95 + 47 + 114 + 72)

Sales units required to meet the average target = 72 (400 - 328)

Thus, the number of appliances that Guillermo needs to sell this month to main an average of 80 sales per month is 72 units.

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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the breakrooms. She considers two methods of obtaining a sample of 600 employees from the 4,700 employees at the company.

Part A: To make the process easier, the CEO considers surveying the first 600 employees who enter a company annual conference center. Identify the type of sampling method proposed and discuss why this sampling method might be biased. (5 points)

Part B: The second method the CEO is contemplating involves using a random number generator app to choose a simple random sample of 600 employees from a list of 4,700 employee names. How could she implement this method? (5 points)

Answers

The type of sampling method proposed is a convenience sampling because it's a non-probability sampling method.

What is convenience sampling?

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

Assign a serial number to each employees of the total 4,700 employee names.Use a random number generator software to obtain 600 random numbers.The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

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FRAME AN EQUATION AND SOLVE IT .NEED ASAP


3 is added to a number and the result is multiplied by 4 to get 20.​

Answers

Answer:

[tex]\fbox {Required equation : 4(x + 3) = 20}[/tex]

[tex]\fbox {Result : x = 2}[/tex]

Step-by-step explanation:

Let our number be x.

1) 3 is added to this number.

x + 3

2) It is multiplied by 4.

4(x + 3)

3) It is equated to 20.

4(x + 3) = 20

∴ This is our framed equation.

Steps to solve :

1) Divide by 4 on both sides.

1/4 x 4(x + 3) = 20/4x + 3 = 5

2) Subtract 3 on both sides.

x + 3 - 3 = 5 - 2x = 2

∴ The number is 2.

Divide the polynomials.

Answers

Answer:

x^4-3x+2

Step-by-step explanation:

There are several different ways to divide algebraic expressions. Here the most simple way to do it (and good idea to try first) is to FACTOR and CANCEL.

see image.

Factor an x from the top. Cancel that x with the bottom x. See image.

(***Also, note: never "cancel" anything connected by a + or a - )

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\frac{x^{5}+(3\times x^{2}) +(2\times x) }{x}} \end{gathered}$}[/tex]

Takes into account expressions that have not yet been taken into account.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\frac{\red{\not{x}}(x-1)(x^{3}+x^{2} +x-2) }{\red{\not{x}} } } \end{gathered}$}[/tex]

Cancel x in both the  numerator and the denominator.

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{(x-1)(x^{3}+x^{2} +x-2) } \end{gathered}$}[/tex]

The expression expands

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x^{4}-3x+2 } \end{gathered}$} }[/tex]

If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36

Answers

1. Put the data in order (Least to Greatest.)
14, 18, 20, 28, 36, 58, 71

2. Multiple by 17.
238, 306, 340, 476, 612, 986, 1207

3. Find the Median.
Because this equation is odd, your median will end up right in the middle of the data. Meaning 476 is the Median.

You can check your answer by taking the surrounding two numbers and doing 340+612/2=476.

Reminder this way of solving is for odd equations like yours. :)

Mark all the relative minimum points in the graph.
See attached!

Answers

The relative minimum point in the graph is (-6, 2)

How to determine the relative minimum?

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

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suppose the equation z^2+4z+20+iz(A+1)=0 where A is constant has complex conjugate root if one of the root of this quadratic is z=B+2i where B is real constant find possible value of A ? please help me I need your help​

Answers

If one of the roots is [tex]w=B+2i[/tex], then the other root is its conjugate [tex]\bar w=B-2i[/tex]. So we can factorize the quadratic to

[tex]z^2 + 4z + 20 + iz (A+1) = (z-(B+2i)) (z-(B-2i))[/tex]

Expand the right side and collect all the coefficients.

[tex]z^2 + (4+(A+1)i) z + 20 = z^2 - 2B z + B^2+4[/tex]

From the [tex]z[/tex] and constant terms, we have

[tex]\begin{cases}4 + (A+1)i = -2B \\ 20 = B^2 + 4 \end{cases}[/tex]

From the second equation we get

[tex]B^2 = 16 \implies B = \pm4[/tex]

Then

[tex]4+(A+1)i = \pm8[/tex]

[tex](A+1)i = 4 \text{ or } (A+1)i = -12[/tex]

Since [tex]\frac1i=-i[/tex], we have

[tex]-\dfrac{A+1}i = 4 \text{ or } -\dfrac{A+1}i = -12[/tex]

[tex]A+1 = -4i \text{ or } A+1 = 12i[/tex]

[tex]\boxed{A = -1 - 4i \text{ or } A = -1 + 12i}[/tex]

CAN sb HELP MI >_>
what it 0.00000000000000035467 in the scientific notation

Answers

Answer:

3.5467 × 10^-16

Factor the expression 3x^(2)+10x+8

Answers

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

please give detailed answer of the question.

Answers

The resulting coordinates for each row are (-2, 2), (0, 4),()2, 6), (6, 10) and (8,12) respectively

Functions and values

Given the linear function expressed as;

y = x + 4

where

x are the input values and y are the output values

If x = -2

y = -2+4

y = 2

The coordinate (x, y) will be (-2, 2)

If x = 0

y = 0+4

y = 4

The coordinate (x, y) will be (0,4)

If x = 2

y = 2+4

y = 6

The coordinate (x, y) will be (2, 6)

If x = 6

y = 6+4

y = 10

The coordinate (x, y) will be (6,10)

If x = 8

y = 8+4

y = 12

The coordinate (x, y) will be (8, 12)

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50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM

Answers

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent

(b)

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

(c)

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

( )

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

If X-A and X-B, then…

A ZperpA

B X||Y

C A||B

Answers

From the line theorems explained below and when we apply it to the given image, we have; X║Y, A║B, Z ⊥ A

What is the transverse line theorem?

The perpendicular transversal theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.

Now, since we are told that Line X is perpendicular to Line A, then it means that Line X is also perpendicular to line B.

The inverse of perpendicular transversal theorem states that if there are two perpendicular lines to a straight line, they're parallel to each other. Thus, it means that Line X is parallel to Line Y and similarly, line A is parallel to Line B.

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You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

Answers

The probability that all five end up in alphabetical order is; 1/120.

What is the probability that the rack ends up in alphabetical order?

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120

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I need help on this question please help me

Answers

The expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Associative and Commutative properties

From the question, we are to determine the expression that shows the best use of the associative and commutative properties

The given expression is

[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]

To easier simplify the expression, we can group the fractions together and group the whole numbers together

That is,

[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Hence, the expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

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Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y>2 and ysx
B. y 22 and y C. x>2 and y2x
D. x22 and y> x

Answers

Answer: B

Step-by-step explanation:

The line y=2 is solid and shaded above, so it represents [tex]y \geq 2[/tex].

This allows us to eliminate all the options except for B.

The measure of the second angle of a triangle is three times the measure of the first. The measure of the third angle in the triangle is 12 degrees less than twice the measure of the first angle. Find the measures of each angle in the triangle.

Answers

Answer:

First  angle:

x =32

Second angle:

3x

3(32) = 96

Third angle:

2x - 12

2(32) -12 =52

Step-by-step explanation:

x + 3x + 2x - 12 = 180  The sum of the interior angles of a triangle is 180

6x -12 = 180  Combine the x terms

6x = 192  add 12 to both sides

x = 32

Check: 52 + 96 + 32 = 180

Find the measure of Angle E if Arc AB = 80 degrees and Arc CD = 38. Round to the nearest tenth.

Answers

The measure of angle E in the secant intersection is 21 degrees.

How to find the angle of intersected secant?

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other

Therefore,

m∠E = 1 / 2 (∠AB - ∠CD)

m∠E = 1 / 2 (80 - 38)

m∠E = 1 / 2 (42)

m∠E = 42 / 2

m∠E = 21 degrees.

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Type the correct answer in each box. If necessary, round your answer(s) to the nearest hu The vertices of AABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of AABC is ​

Answers

Answer:

  22.81

Step-by-step explanation:

The distance formula can be used to find the distances between pairs of vertices. The perimeter is the sum of those distances.

Side lengths

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using this formula the triangle side lengths are ...

  AB = √((6 -(-2))^2 +(2 -2)^2) = √(8^2) = 8

  BC = √((0 -6)^2 +(8 -2)^2) = √(6^2 +6^2) = 6√2

  CA = √((-2 -0)^2 +(2 -8)^2) = √(4 +36) = √40

The perimeter of the triangle is the sum of these lengths:

  P = 8 +6√2 +2√10 ≈ 22.8098

The perimeter is about 22.81 units.

A race track is miles long. If the car race is 200 laps then how many miles will the drivers travel during the race?

Answers

50 miles
This is because a track lap I 1/4 mile and 200 divided by 4 is 50

The drivers will travel 200x miles during the race.

What is Unit of Measurement?

A definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that A race track is miles long

The car race is 200 laps then we have to find the number of miles the driver travel.

If the race track is x miles long, then one lap around the track is x miles.

If the race is 200 laps, the total distance covered by the drivers is:

200 laps ×  x miles/lap = 200x miles.

Therefore, the drivers will travel 200x miles during the race.

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I need help with this geometry question asap!

Answers

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

Analysis

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

would anyone be able to help me with this?

Answers

This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

How to solve for the maximum of the graph

We have ( x-2²) (x-4)

x-2²) = 0, or x - 4

x - 2 = 0, x = 2

Hence we can see that the graph has its minimum at x = 4

b. The graph here does not have a local maximum

c. Next we have to find the point of inflection

To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

(x-2)²[ (x-4) 2 (x-2)]

This would then give us

x -2, 3x -10

In both equations we have to make x the subject of the equation

X = 2, x = 10/3

Hence the point of inflection is 2 and 10/3

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How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?

Answers

Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

Other Questions
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