Perform the indicated row operation

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

Step-by-step explanation:

Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line

(x₀, y₀) is the given point.

First is to get the slope of the known line:

comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 i.e

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (1,2) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence the equation of the line L2 is 2y+x = 5

Answer:

Step-by-step explanation:

5m-m-m+3

5m-2m+3

3m+3

Answer: 3m + 3

Explanation: If there's no coefficient in front of the variable, you can give it a coefficient of 1, so the -m can be thought of as -1m.

So our problem can be read as 5m - 1m - 1m + 3.

Now combine like terms.

Since 5m, -1m, and -1m are terms that contain an m, we can combine.

So 5m - 1m - 1m simplifies to 3m.

So our answer is 3m + 3

Answer:

a)......1+2=90 degree.....

so,x+x-20=90=2x=110

x=55degree

Step-by-step explanation:

b)let it be a triangle....angle1=56

2=y

3=29....by vertically opposite angles

by ext angle property... x= 1+3=56+29= 85

Answer:

55 degrees is the answer

Answer:

2.0 x 10^10

Step-by-step explanation:

Answer:

2.0*10^4

On math away I put the question and put evaluate in scientific notion and it got this answer.

Answer: \(\$8.62/\text{Pound}\)

Step-by-step explanation:

Given

There is \(7\ kg\) of ham available which costs

cost\(=\$\ 19/kg\)

i.e.

\(1\ kg\ \text{costs}\ \$19\)

and we know

\(1\ kg=2.204\ \text{pound}\)

So, \(2.204\ \text{Pound costs}\ \$19\)

thus \(1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}\)

The number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, you are studying last year’s event and know that 210 people attended last year’s school carnival.

The number of regular tickets sold was 10 more than twice the number of children’s tickets sold.

Let the number of children tickets be x.

Then, number of regular tickets be 2x+10

Let the number of student tickets be y.

You are studying last year’s event and know that 210 people attended last year’s school carnival.

x+2x+10+y=210

3x+y=200 --------(I)

The total amount of money collected for tickets was $710.

Now, 5(2x+10)+3y+x=710

10x+50+3y+x=710

11x+3y=660 --------(II)

Substitute y=200-3x in equation (II), we get

11x+3(200-3x)=660

11x+600-9x=660

2x=60

x=30

Substitute x=30 in equation (I), we get

3(30)+y=200

y=110

Number of regular tickets =2x+10

= 70

Therefore, the number of regular tickets are 70, the number of student tickets are 110 and the number of children tickets are 30.

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Answer:

Step-by-step explanation:

Considering the polynomial 2x⁵ + 4x³ - 3x⁸. The polynomial is not yet in standard form. For a polynomial to be in standard form, the power of the variables must decrease as we progress to the right of the expression.

A) The polynomial in standard form is therefore   - 3x⁸ + 2x⁵ + 4x³. We can see that the power are reducing as we move through each terms i.e from 8 to 5 then to 3.

B) The degree of a polynomial is the maximum degree among all the terms of the polynomial. The term that has the maximum degree is -3x⁸. Hence, the degree of the polynomial is 8

C) There are only 3 terms in the polynomial given. The terms are separated by mathematical signs. The terms if the polynomial are 2x⁵,  4x³ and - 3x⁸.

D) The leading term of the polynomial is the term that comes first after rewriting the polynomial in standard format. Given the standard from of the polynomial given as  -3x⁸ + 2x⁵ + 4x³, the leading term will be  - 3x⁸

E) Given the leading term to be  - 3x⁸, the leading coefficient of the polynomial will be the coefficient of the leading term. The coefficient of -3x⁸ is -3

6 bottles are required for a 14 day supply.

One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,

Total tablets required=Tablets required

per day x Days

To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,

Therefore the tablets required

per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.

Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,

Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.

Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles

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Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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x = number of tickets sold

25x = revenue from the x tickets sold

C = costs

y = profit

y = revenue - costs

y = 25x - C

Since we don't know what the expenses are, we can't replace C with a number.

Answer:

150% hope I'm

correct and sorry if I'm not but it should be 150%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

2 x 1.75 = 3.5

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

I'm thinking it's A or C

Step-by-step explanation:

I'm sorry I can't decide ;-;

Answer:

The 4th answer.

Step-by-step explanation:

It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.

L as a function of x is written as:

L = √(5x² - 3x + 9/16)

The distance between a point (x, y) and the origin is given by the formula:

distance = √(x² + y²)

Here we know that the distance must be L, the points must be on the line:

8x + 4y = 3

Isolate y in that equation to get:

4y = 3 - 8x

y = 3/4 - 2x

Then the function is:

L =  √(x² + y²)

L =  √(x² + (3/4 - 2x)²)

L = √(x² + 9/16 + 4x² - 3x)

L = √(5x² - 3x + 9/16)

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The length of the line segment BX is 9.5 in.

What is the meaning of line segment?

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Given that the length of the line segment AB is 12 in. X and Y are points lie on the line segment AB such that AX and BY are congruent.

Assume that the length of AX = a in and the length of XY = b.

The length of BY = a ( since AX and BY are congruent)

According to the question

AX + XY + BY = 12

a + b + a =12

2a + b =12 ....(i)

We know that AY = AX + XY = a +b

Given that, AX : AY = 1:4

a/(a+b) = 1/4

4a = a + b

3a = b

Putting b = 3a in 2a + b =12:

2a + 3a =12

5a = 12

a = 2.5

The length BX is AB - AX = 12 - 2.5 =9.5 in

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x-value of the solution is 2.

Option B is correct.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

Given

System of equations

4x + 3y = 17 .............(1)

6x + 7y = 33.............(2)

Multiply both sides of the equation(1) by a coefficient of 3

3(4x + 3y) = 3 × 17

⇒ 12x  + 9y = 51............(3)

Multiply both sides of the equation(2) by a coefficient of 2

2(6x + 7y) = 2 × 33

⇒ 12x + 14y = 66............(4)

Using elimination method, Eliminating x by subtracting equation 3 and 4

12x  + 9y - (12x + 14y) = 51 - 66

⇒ 9y - 14y = -15

⇒ -5y = -15

⇒ y = 3

Substitute y = 3 in equation 1

4x + 3(3) = 17

⇒ 4x + 9 = 17

⇒ 4x = 17 - 9

⇒ 4x = 8

⇒ x = 2

Hence, x-value of the solution is 2.

Option B is correct.

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Answer:

The function \(p(n)\) is represented by \(p(n) = 103\cdot (0.88)^{n}\).

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

\(p(n) = p_{o}\cdot r^{n}\) (Eq. 1)

Where:

\(p_{o}\) - Atmospheric pressure at sea level, measured in kilopascals.

\(r\) -Atmospheric pressure decrease rate, dimensionless.

\(n\) - Height above sea level, measured in kilometers.

\(p(n)\) - Current pressure, measured in kilopascals.

If we know that \(p_{o} = 103\,kPa\) and \(r = 0.88\), the function \(p(n)\) is represented by:

\(p(n) = 103\cdot (0.88)^{n}\)

Answer:

you have 10 cupcakes and give away 2 which is 20% of 10

Step-by-step explanation:

Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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Answer:

The numbers are 39 and 16

Step-by-step explanation:

let the two numbers be x and y

according to question

x+y=55......equation i

x-y=23.......equation ii

add both equations and you will get x=39 and y=16

Answer:

Kakegurui- demon slayer-  

Princess Mononoke is a good movie and the last Airbender is pretty good  

UHHHH OH- black butlers okie also a whisker away is cute (MOST ON NETFLIX)

Answer:

I watch Death Note, Black Butler, Demon Slayer, My Hero Academia, Dragonball Z, Naruto, Naruto: Shippuden, Black Clover, Assassination Classroom, OHSHC, School Babysitters (Gakuen Babysitters), High School of the Dead, and more that I forgot the name of!

Step-by-step explanation:

The amount earned is $79,500, percentage of fans that will be able to park the colour is 20% and the types of meals offered are All-you-can-eat, Two-for-one, Value meals.

First part -

The amount earned in parking 10,600 vehicles = number of vehicles × charge of parking on one vehicle

Keep the values in formula to find the amount earned

The amount earned in parking 10,600 vehicles = 10,600 × 7.5

Performing multiplication

The amount earned in parking 10,600 vehicles = $79,500

Second part -

Number of cars = total number of fans ÷ number of fans in one car

Keeping the values

Number of cars = 70000 ÷ 2

Performing division

Number of cars = 35000

Percentage = number of accomodates vehicles ÷ total number of vehicles × 100

Keep the values

Percentage = 7000 ÷ 35000 × 100

Performing division and multiplication

Percentage = 100/5

Percentage= 20%

Third part -

The type of ticket offered at the ballpark is All-you-can-eat, Two-for-one, Value meals.

Hence, the answers are $79,500, 20% and All-you-can-eat, Two-for-one, Value meals.

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The correct question is -

if it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?

A stadium's parking lot can accommodate 7,000 vehicles. What percentage of tonight's 70,000 fans will be able to park in the stadium lot if they arrive two fans per car?

Which is a type of ticket offered at the ballpark?

All-you-can-eat, Two-for-one, Value meals

The correlation of the given graph is positive because the points on the scatterplot form a positively sloped line.

The degree of correspondence or relation between two variables is referred to as correlation.

Correlated variables tend to change at the same time. When one variable increases in size, the other variable decreases in size.

Here the points on the scatterplot form a positively sloped line, which indicates that there is a positive correlation between the number of hours and the money made. This means that as the number of hours worked increases, the amount of money tends to increase as well.

Thus, the correlation of the graph is positive.

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Answer:

2(6x+7)+10x

12x+14+10x

22x+14

Let me know if this helps!

The simplified version of the expression is 22x+14

Step-by-step explanation:

You need to start this by distributing the 2 to the 6x and the 7. When we do this, the expression now becomes 12x+14+10x

From here, we need to combine like terms, such as the 12x and the 10x. From this we get the final form of the expression: 22x+14