Teresa babysits for her neighbors. She charges $13 for the first hour and $10 for each additional hour. Write a rule for the total amount of money she charges, T, based on the number of hours she babysits, H. Angela also babysits for her neighbors. She charges $11 per hour. Which babysitter, Teresa or Angela, will charge less to babysit for 2 hours? 3 hours? 4 hours? Show evidence for your answers.

The solution to the system of equations is x = 6 and  y = -5, which is the same as we obtained using the elimination method.

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:

2x + y = 7 ---(1)

x + y = 1 ---(2)

To solve this system, we can use the method of elimination or substitution.

Method 1: Elimination

In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.

Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:

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

Multiplying equation

(2) by -2-2x - 2y = -2

Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:

2x + y = 7(-2x - 2y = -2)0x - y = 5

We now have a new equation in which y is isolated.

To solve for y, we can multiply both sides by -1:

-1(-y) = -1(5)y = -5

Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6

Therefore, the solution to the system of equations is (x,y) = (6,-5).

Method 2: Substitution

In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.

From equation (2), we can solve for y in terms of x:y = 1 - x

We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6

Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5

Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.

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Answer:

$3.56

Step-by-step explanation:

Answer:

1.55

Step-by-step explanation:

4.66 - $3 = 1.66

A dime is 10c so

1.66 - 0.10 = 1.55

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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From the attached graph, the points of intersection between the two graphs are

(5, 15) and (-2, -6)

The points of intersection between the graphs of

y = x² - 10 and

y = 3x

can be solved by setting the two equations equal to each other

hence we have that

x² - 10 = 3x

Rearranging the equation, we get:

x² - 3x - 10 = 0

Now we can solve this quadratic equation for x by Factoring

(x - 5)(x + 2) = 0

(x - 5) = 0 or (x + 2) = 0.

x - 5 = 0, x = 5

x + 2 = 0, x = -2

So the points of intersection between the two graphs are

(5, 15) and (-2, -6).

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Katie has 5.455

Sadie has 10.31

To find how many apples they have in all add the two numbers

They have = 5.455 + 10.31

They have = 5.455 + 10.310

0 + 5 = 5

1+ 5 = 6

3 + 4 = 7

10 + 5 = 15

They have = 15.765 apples in all

Answer:

-3×0 - 2 × y = -4

-2 × y = -4

y = -4/-2

y = 2

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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An example of a boundary value problem is the Sturm-Liouville problem, which entails determining the eigenvalues and eigenfunctions of a differential equation that complies with specific boundary requirements.

The general formula for the Sturm-Liouville problem's solution in x is y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the differential equation's eigenfunctions. When the differential equation and boundary conditions are solved, the eigenvalues and eigenfunctions are discovered.

For instance, if the differential equation has the following form: -y" + q(x)y = lambda* w(x)y where y is the dependent variable, y" is the second derivative of y, q(x) and w(x) are functions of x, and lambda is the eigenvalue, the boundary conditions can be of the following

form: where L is the length of the interval on which the differential equation is defined, y(0) = 0, and y(L) = 0.

The general solution in x can be expressed in the form: y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the eigenfunctions of the differential equation. The eigenvalues and eigenfunctions can be discovered by solving this differential equation and the boundary conditions.

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Answer:

(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 7

y = -x + 5

Step 2: Solve for x

Substitution

Step 3: Solve for y

The value of H (Hypotenuse) will be 54.93

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The values are,

⇒ cos θ = 0.8192

⇒ A (Base) = 45

Now,

Since, The values are,

⇒ cos θ = 0.8192

⇒ A = 45

We know that;

⇒ cos θ = Base (A) / Hypotenuse (H)

Substitute all the values, we get;

⇒ 0.8192 = 45 / H

⇒ H = 45 / 0.8192

⇒ H = 54.93

Thus, The value of H (Hypotenuse) = 54.93

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To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:

X and 127 are co-interior angles and X and Y are straight angle

Answer:

Y=127°

X=53°

Step-by-step explanation:

Y is 127 bcs it is correspoding to the 127° it has given u in the question. But you know that half a circle is 180° now that you have 127 as y u minus 180- 127 which equals X that is 53 hope u understood

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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Answer:

85 degrees

Step-by-step explanation:

since all angles in a parallelogram add up to 360 degrees, and we know that angles M and P are equal, we can double their measures to get 190 degrees. This leaves 170 degrees left to split evenly between angles L and N, making each one 85 degrees.

Answer:

A

Step-by-step explanation:

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

y = -5x - 8

or

y = 5x + 8

x            y

0            8

1             13

-1             3

-2            -2

Answer:

x= -19

Step-by-step explanation:

Plug -87 into y,and and -87 -8 is -95, and divide that by 5

The answer is -19

Finance amount: The amount you can finance for a new car with a monthly payment of $240, for 60 months (5 years), depends on several factors, including the loan interest rate, the down payment, and the value of the car.

Estimated percentage rate: The interest rate for a new car loan with a credit score between 601-660 typically ranges from 5% to 10%.

Amount of interest you will pay for the loan: The amount of interest you will pay for the loan can be calculated by multiplying the loan amount by the interest rate and the number of months.

For example, if you finance $20,000 at a 7% interest rate for 60 months, the total interest paid over the life of the loan would be $3,140.

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The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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The answer is 0.8-

2/5=.4

1.2=.5

1/10=.1

The Answer is: 64 degrees

Answer:

64

Step-by-step explanation:

Just confirming this is the answer for edge 2021

9514 1404 393

Answer:

  about 1.57×10^27 (see below for the exact value)

Step-by-step explanation:

  1,570,042,899,082,081,611,640,534,563  

__

Most calculators do not carry enough internal digits to compute the exact value of this number. Fortunately, there are "infinite precision" math packages around that will find this value for you.

Can you please show the equation or rewrite the equation?

Answer:

y = x + 11

Step-by-step explanation:

The table is showing 4 x and y values. With the question of which equation gives the rule of the table.

To solve, all we have to do is plug in x with the correspondant equation, same goes with y.

y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.

Answer:

y = x + 11

Step-by-step explanation:

y + 11 = 11

1 + 11 = 12

2 + 11 = 13

3+ 11 = 14

4+ 11 = 15

y is the first row, 1,2,3,and 4

11 is 11 (lol)

x is the answer

your answer is y=x+11

The missing dimensions from the given expression should be completed with the following:

(81.) A) 2

(82.) AD) x

(83.) E) 12

The expression as a product should be written as: DE) 2(x + 12).

In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.

In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;

        x           12

2      2x         24

Note: 2x/2 = x.

         24/2 = 12.

(2x + 24) = 2(x + 12).

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Answer:

1 \(\frac{15}{18}\)

Step-by-step explanation:

Re-write the problem:

5x3    -4 x 2          15   -8

——————      =  —-   —-      =

6x 3   9 x 2          18     18

15 - -8

———         =   1 \(\frac{15}{18}\)

 18