7- At the school car wash, Kelly washes a car in 13 minutes, and Libby washes a car in 17 minutes, How many more minutes does it take Kelly to wash a car alone than it takes Kelly and Libby to wash a car when working together? Express your answer as a decimal to the nearest tenth.

Answers

Answer 1

Kelly will take 5.64 minutes more to wash the car as compared to Kelly and Libby when they are working together

Time taken by Kelly to wash the car = 13 minutes

Time taken by Libby to wash the car = 17 minutes

Time taken by Kelly and Libby to wash the car together:

LCM of 13 and 17 is 221. So, the total work required to be done is 221 units

Hence, Kelly does 17 units of work each minute and Libby does 13 units of work each minute

If both work together, they will finish the work in = Total work required to be done/ Work done in a minute by Kelly + Work done in a minute by Libby

= 221/(17+13)

= 221/30 = 7.36 minutes

The extra time taken by Kelly working alone = 13-7.36  = 5.64 minutes

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Related Questions

Select all of the answer choices that are solutions to the equation2x+2y=0.Ox=0y = -1O x = 1, y = -1Ox= -2O x = -2, y = -2O x = 0, y = 0

Answers

[tex]\because2x+2y=0[/tex]

If the sum of two terms = 0, then the 2 terms must have the same value but different signs

That means x and y must have the same value but different signs

Look at the given answers

The 1st, 2nd, and 4th answers are wrong because the solution of this equation must have a value of x and a value of y together

In the 3rd answer

x = 1 and y = -1

Both have the same value and different signs

Then 3rd answer is a solution

In the 5th answer

x = -2 and y = -2

They have the same value with the same signs

The 5th answer is not a solution

In the last answer

x = 0 and y = 0

They have the same value but the zero has no sign

Then substitute them in the equation to check if it is solution or not

2(0)+2(0) = 0

0 + 0 = 0

The 2 sides of the equation are equal, then

The last answer is a solution

The answer is the 3rd and last answers

Given g(-2) = -4 and g'(-2) = 5, find the value of h'(-2) based on the function below.
h(x) = (-2x + 6) • g(x)

Answers

Step-by-step explanation:

so,

h(x) = f(x) × g(x)

h'(x) = f'(x) × g(x) + f(x)×g'(x)

with f(x) = -2x + 6

f'(x) = -2

so,

h'(-2) = -2 × g(-2) + (-2×-2 + 6) × g'(x) =

= -2 × -4 + 2 × 5 = 8 + 10 = 18

Determine the probability of occurence of the following single eventsA "4" appears in a single toss of a die

Answers

SOLUTION

The probability of an event occuring is found using the formula

[tex]\frac{possible\text{ outcome}}{\text{total possible outcome }}[/tex]

There is only "one" 4, in a die, out of a total of "six" numbers labelled 1 to 6.

So, possible outcome = 1

Total possible outcome = 6, since the die was tossed once.

Probability becomes

[tex]\frac{1}{6}[/tex]

Hence the answer is

[tex]\frac{1}{6}[/tex]

20Which equation, when paired with the equation below, will create a system of equations with infinitelymany solutions?3x - 8y = -5A. 3x+ 8y = -5B.6x+ 16y = -10C.6x- 16y = -10D. -8x+ 3y = 5

Answers

ANSWER

C. 6x - 16y = -10

EXPLANATION

An equation or a pair of equations has infinite solutions when all numbers are solutions of the equation(s).

The left and right hand side of the equation(s) are the same.

So, we have to look for the equation such that the case happens.

To do that, we have to simply look for an equation that is identical to the given equation:

3x - 8y = -5

By observing keenly, we see that the identical one is:

6x - 16y = -10

Divide both sides by 2, we have that:

3x - 8y = -5

Let us try to solve these equations:

3x - 8y = -5

3x - 8y = -5

Subtract the second from the first:

3x - 8y = -5

- (3x - 8y = -5)

0 + 0 = 0

=> 0 = 0

We see that both sides are identical.

So, the answer is option C.

what's the perimeter of 3x2-1x2-4x+3 for parallelogram?

Answers

Answer:

The perimeter of the parallelogram is;

[tex]8x^2-8x+4[/tex]

Explanation:

Given the figure of a parallelogram in the attached image.

With sides;

[tex]\begin{gathered} a=x^2-4x+3 \\ b=3x^2-1 \end{gathered}[/tex]

The perimeter of a parallelogram can be calculated using the formula;

[tex]P=2(a+b)[/tex]

substituting the given sides;

[tex]\begin{gathered} P=2(a+b) \\ P=2(x^2-4x+3+3x^2-1) \\ P=2(x^2+3x^2-4x+3-1) \\ P=2(4x^2-4x+2) \\ P=8x^2-8x+4 \end{gathered}[/tex]

Therefore, the perimeter of the parallelogram is;

[tex]8x^2-8x+4[/tex]

let k(x)=3h(x)+4x^4/g(x). given the following table of values, find k'(-1)

Answers

Given the following table of values, k'(-1) is 3.

What is differentiation?

The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative. finding a function's derivative, or rate of change, in mathematics. Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables.

Given Data

k(x) = -3h(x) + [tex]\frac{4x^{4} }{g(x)}[/tex]

k(x) = -3h'(x) + 4 [tex]\frac{4x^{3}g(x)-x^{4}g'(x) }{gx^{2} }[/tex]

k'(-1) = -3h'(-1) + 4 [tex]\frac{4g(-1)-g'(-1)}{g(-1^{2}) }[/tex]

k'(-1) = -3(-1) + 4(0)

k(-1) = 3 + 0

k'(-1) = 3

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Which equation represents a proportional relationship between x and y?
A.y=0.25x+1.25
B.y=4x
C.y=14x−2
D.y=23x−23

Answers

y=4x equation represents a proportional relationship between x and y.

Form the question

Only B doesn't have constant

y=4x

x=y/4

So option 2 is correct.

The formula y=kx y = k x can be used to describe a proportional relationship, where k is the constant ratio.

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, diagrams, and equations can all be used to depict proportional relationships.

The graph of a straight line through the origin with a slope equal to the unit rate can be used to depict a relationship where two quantities are related proportionally. is equal to k, where k is the unit rate, for each point (x, y) on the graph.

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3. The number of zeroes in the end of perfect square is never_______​

Answers

(vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number. Q. The number of zeroes at the end of a perfect square is always odd.

I hope it will be helpful for you.

Your lunch in the hospital cadet cost $6.50. Based on working 50weeks per year , how much will you spend on your lunch per year?

Answers

Answer:

Step-by-step explanation:

if they are working 7 days a week, lunch will cost $2,275

hope this helped :)

Graph the solution set of the following linear equation
2x+2y<-6

Answers

Graph the inequality by finding the boundary line, then shading the appropriate area.

y < −x −3

The question is below:

Answers

If function f(x) = √(x + 1) - 5 is translated three (3) units to the right and two (2) units up, the equation which represents g(x) is: D. f(x) = √(x - 2) - 3

What is a translation?

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

Translating f(x) = √(x + 1) - 5 three (3) units to the right and two (2) units up, we have:

f(x) = √(x + 1) - 5

f(x) = √(x + 1 - 3) - 5 + 2

f(x) = √(x - 2) - 3

In Geometry, g(x - 3) simply means shifting a graph three (3) units to the right while adding two (2) to the function simply means moving the graph up.

In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 3 units to the right and 2 units up.

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PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!ON NUMBER 4!!!!!

Answers

The absolute value function y = 3|x + 1| + 9 is y ≥ (x + 4)/3 when x ≥ 0 and

y > - (x - 2)/3 when x < 0.

What is the absolute value function?

The absolute value function always outputs a positive value irrespective of the input.

Given we have to write the absolute value function as a piecewise function.

We know | x | = a implies x ≥ a and - x < a.

y = 3| x + 1 | + 9.

y - 9 = 3| x + 1|.

(y - 9)/3 = | x+ 1 |.

∴ (y - 9)/3 ≥ x + 1.

y/3 - 3 ≥ x + 1.

y/3 ≥ x + 4.

y ≥ (x + 4)/3.

OR

(y - 9)/3 = | x+ 1 |.

- (y - 9)/3 < x + 1.

-y/3 + 3 < x + 1.

-y/3 < x - 2.

-y < (x - 2)/3.

y > - (x - 2)/3.

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For the following exercises, consider this scenario: There is a mound of g pounds of gravel in a quarry. Throughout the
day, 400 pounds of gravel is added to the mound. Two orders of 600 pounds are sold and the gravel is removed from
the mound. At the end of the day, the mound has 1,200 pounds of gravel.

Answers

The value of g for the given conditions is obtained from linear equations as 2000.

What is a linear equation?

A linear equation in one variable has only one variable of order 1. It has the formula ax + b = 0, where x is a variable. There is only one solution to this equation.

The initial amount is given as g.

400 pounds is added.

2 times 600 pounds is taken out.

The remaining amount is 1200 pounds.

Form a linear equation from the given constraints.

g+400-2(600)=1200

Solve the linear equation using basic mathematical functions.

g+400-1200=1200

g=2400-400

g=2000

So, the value of g is obtained using the linear equation as 2000.

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If a linear function has no restrictions, the domain of the function is

Answers

The Domain of the linear function with no restriction is  (-∞,∞)

What is a linear function?

A linear function is of the form  f(x)  = ax+ b, where a and b are constants , x is independent variable and the graph of such function is a straight line.

Domain of f is the set of all values of x for which function f is defined.

Given that the linear function has no restrictions , means the values of the function can be from anywhere of real line.

-∞  < f(x) < ∞

⇒ -∞  < ax+ b < ∞    , where a≠0

⇒  -∞- b  < ax+ b-b  < ∞ -b

⇒  -∞  < ax < ∞      ( adding or subtracting anything from infinity does not  

                                  make any difference)

⇒ -∞  < x < ∞  

Thus the domain of the linear function which has no restriction is (-∞,∞)

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Which of (3, 5), (4, 6), (5, 7), and (6, 8) are solutions to y = x + 2?
O(3, 5) and (4, 6)
O(4, 6) and (5, 7)
Onone
O all

Answers

All of them would be the answer.

What is the basic component of solving an equation?

The left side and right side of every equation should be equal. It is essential that both parties are on an even playing field. An equation must contain the following elements: coefficients, variables, operators, constants, terms, expressions, and an equals sign. Any one, some, or all of these terms may circle the equal sign in an equation.

Rule of Thumb for Equation Solving:

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.

Here, we will put the values of x and y coordinates in the equations:

5=3+2

6=4+2

7=5+2  

8=6+2

Hence, the right and left side of the equation is equal.

Thus, all of them are correct answers. It would just be all of them.

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16. In Barry's state, the weekly unemployment compensation is 58% of the 26-week average forthe two highest-salaried quarters. A quarter is three consecutive months. For July, August, andSeptember, Ben earned a total of $17,500. In October, November, and December, he earned atotal of $18,300. Determine Barry's weekly unemployment compensation.

Answers

~ 399.3 $ / w

. The average for the 2 highest-salaried quarters:

(17 500 $ + 18 300 $ ) / 2 = 35 800 $ / 2 = 17 900$

. The 58% compensation representing the total amount Barry will be compensated:

17 900 * 58 / 100 = 10 382 $

. The weekly compensation:

10 382 $ / 26 week ~= 399.307692 $ / w

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3x(2x8) + 7 ?

Answers

7 + 3 × (2 × 8) is the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 × (2 × 8) + 7.

Given, 3 × (2 × 8) + 7

Following the application of the Commutative property of addition, which stipulates that altering the order of addends does not affect the result.

The expression will be,

7 + (2 × 8) × 3

Then, using the associative principle of multiplication, which states that how elements are arranged in a multiplication issue does not affect the product.

The expression will be,

7 + 3 × (2 × 8)

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O POLYNOMIAL AND RATIONAL FUNCTIONSFinding the maximum or minimum of a quadratic function

Answers

Given

The function,

[tex]g(x)=x^2+4x[/tex]

To find:

The maximum or minimum value of the function, and where does it occur.

Explanation:

It is given that,

[tex]g(x)=x^2+4x[/tex]

That implies,

Set g(x)=y.

Then,

[tex]\begin{gathered} y=x^2+4x \\ y=(x+2)^2-4 \\ y+4=(x+2)^2 \end{gathered}[/tex]

Here, a=1>0.

Then, the parabola opens up.

And, k is the minimum functional value, it occurs when x = h.

Therefore,

1) g(x) has a minimum value.

2) g(x)'s minimum value is -4.

3) And it occurs at x = -2.

is when you multiply with any number with a negative or possitive the asnwer is also suppossd to also have a negative and possitive . Also will i get the answer wrong if i dont put any of the sighn ?

Answers

If we mutiply a positive number with a positive or negative sign we get the answer as number with sign.

[tex]eg\colon5\times(+1)=5,5\times(-1)=-5[/tex]

If we mutiply a negative number with sign the answer will be,

[tex]eg\colon(-5)\times(+1)=-5,)-5\times(-1)=5_{}[/tex]

Thus, if we mutiply a negative to a positive number the sign gets reversed.

A fan in a baseball stadium is sitting in a seat withtheir eye level is a vertical distance of 350 ftabove level.A) When the fan is looking at home plate, theangle of depression is 30°. What is the horizontaldistance from the fan to home plate? Round to thenearest 10th. Explain two different ways todetermine this distanceB) The same fan makes eye contact with a secondfan in the stands that is seated at a lower row inthe stadium. The straight-line distance betweenthe eyes of the two fans is 300 ft and the angle ofdepression is 48°. What is the vertical distancebetween field level and the eyes of the secondfan? Round to the nearest tenth.

Answers

GIVEN:

We are told that a baseball fan is sitting at a point where his eyes are 350 feet vertical distance from the ground. When the fan is looking at the home plate the angle of depression is 30 degrees.

Required;

Find the horizontal distance from the fan to the home plate.

Step-by-step solution;

We begin by making a sketch of the scene to determine the shape and angles formed. This is shown below;

From the sketch above we can see the that the baseball fan has effectively formed a right triangle with the home plate from his position and the dimensions, that is, angles and sides, have been labeled.

We have the reference angle given as 60 degrees and the opposite is x (horizontal distance from the fan to home plate). That means the adjacent side is 350.

We can now use the following trig ratio;

[tex]tan\theta=\frac{opposite}{adjacent}[/tex][tex]tan60\degree=\frac{x}{350}[/tex]

We now cross multiply;

[tex]\begin{gathered} tan60\degree\times350=x \\ \\ 1.73205080757\times350=x \\ \\ 606.217782649=x \\ \\ x=606.2ft\text{ }(rounded\text{ }to\text{ }the\text{ }nearest\text{ }tenth) \end{gathered}[/tex]

A second way to determine this distance is by using the triangle formed by the angle 30 degrees, in which case the horizontal distance will be the green line as shown in the sketch above. In that case, the vertical distance of 350 feet will be the opposite while the horizontal distance will be the adjacent while the reference angle will be 30 degrees.

For the second scenario, the straight line distance between both sets of eyes is 300 feet, and the angle of depression is 48 degrees. Note that the second fan is being watched at an angle of depression of 48 degrees which means he is at a lower level.

Now we are required to determine the vertical distance between the field level and the eyes of the second fan.

Let us begin by calculating the value of x as indicated in the triangle.

We shall use the trig ratio of;

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex][tex]cos42\degree=\frac{x}{300}[/tex]

Now we cross multiply;

[tex]\begin{gathered} cos42\degree\times300=x \\ \\ 0.743144825477\times300=x \\ \\ 222.943447643=x \\ \\ x=222.9ft\text{ }(rounded\text{ }to\text{ }the\text{ }nearest\text{ }tenth) \end{gathered}[/tex]

Observe carefully that the distance calculated as x (222.9 ft) is the vertical distance between both fans. If we subtract this value from 350 feet we will now derive the vertical distance from the second fan to the field level.

[tex]\begin{gathered} Vertical\text{ }distance=350-222.9 \\ Vertical\text{ }distance=127.1ft \end{gathered}[/tex]

Therefore,

ANSWER:

[tex]\begin{gathered} (A)\text{ }606.2ft \\ \\ (B)\text{ }127.1ft \end{gathered}[/tex]

.As the operations manager of the post-sales department, you need to estimate the average duration of an on-site visit by your technical staff. Based on the information in the service call log shown, what is the average time needed for an on-site visit? Service Call Duration 45 min 55 min 1 hr 35 min 1 hr 15 min 50 min O A 40 minutes O В. 1 hour 4 minutes O С. 1 hour 20 minutes D 4 hours O E 5 hours 20 minutes

Answers

The mean (or average) is given as:

[tex]\frac{\sum ^{}_{}x_i}{n}[/tex]

where xi is the value of each data and n is the total number of data. In this case we have:

[tex]\frac{45+55+95+75+50}{5}=64[/tex]

Therefore the average is 1 hour 4 minutes and the answer is B.

Most cars depreciate in value as they age. A specific model car purchased for $14 995depreciates by 28% per year. The function that models it value over time

Answers

[tex]V\left(x\right)=14995\left(0.72\right)^x[/tex]

(a)

Graphing the function from x = 0 to x = 10:

b)

Evaluate the function for x = 5

[tex]\begin{gathered} V\left(5\right)=14995\left(0.72\right)^5 \\ V\left(5\right)\approx2901.41 \end{gathered}[/tex]

Answer:

$2901.41

c)

Let's solve the following inequality:

[tex]V\left(x\right)<1000[/tex]

so:

[tex]\begin{gathered} \left(0.72\right)^x<\frac{1000}{14995} \\ x<\frac{1}{ln\left(0.72\right)}*ln\left(\frac{1000}{14995}\right? \\ x>8.2 \end{gathered}[/tex]

Approximately after 8.2 years.

d)

[tex]4300=14995\left(y\right)^5[/tex]

Let's solve the previous equation in order to find the rate y:

[tex]\begin{gathered} y^5=\frac{4300}{14995} \\ y=\sqrt[5]{\frac{4300}{14995}} \\ y\approx0.78 \end{gathered}[/tex]

The depreciation rate is approximately:

[tex]0.78[/tex]

It depreciates 22% per year

Gina's books has 349 fewer pages than terri's. if Gina's books has 597 pages, how many pages does Terri's books have?​

Answers

Gina's books has 349 fewer pages than Terri's, if Gina's books has 597 pages, Terri's books have 946 pages. In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

What is mathematical operations?

In mathematics, an operation is function which takes zero or more input values (also called the "operands" or "arguments") to a well-defined output value. The number of the operands is the arity of the operation.

The most commonly studied operations are the binary operations (i.e., the operations of arity 2), such as addition and multiplication, and the unary operations (i.e., the operations of arity 1), such as additive inverse and the multiplicative inverse. An operation of arity zero, or nullary operation, is constant. The mixed product is example of operation of arity 3, also called ternary operation.

Generally, arity is taken to be finite. However, the infinitary operations are sometimes considered, in which case "usual" operations of finite arity are called finitary operations.

A partial operation is defined similarly to operation, but with partial function in place of a function.

Gina's book = 597 pages

Terri's book= (597+349) pages

                   = 946 pages

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A combined total of $41,000 is invested in two bonds that pay 6% and 7% simple interest. The annual interest is $2,700.00. How much is invested in each bond?

Answers

Answer

Amount invested at 6% interest = 17,000

Explanation

The simple interest on an invested principal (P), at a rate, R, for a period of time, T, is given by

Simple Interest = (PRT/100)

Let the amount invested at 6% be x

Let the amount invested at 7% be y

Sum of these amounts is $41,000

x + y = 41000

Simple Interest on x for 1 year

SI = (x × 6 × 1/100) = 0.06x

Simple interest on y for 1 year

SI = (y × 7 × 1/10) = 0.07y

Sum of annual interest = $2,700

0.06x + 0.07y = 2700

Now, we have a simultaneous equation

x + y = 41000

0.06x + 0.07y = 2700

Solving this simultaneously,

x = 17,000

y = 24,000

Hope this Helps!!!

Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club? Solve using unit rates

Answers

Step 1

From the question;

[tex]\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\ \end{gathered}[/tex]

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

[tex]\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}[/tex]

Answer; It will take Bobby 9months to read 90 booj

[tex]9\text{ months}[/tex]

Find the y-intercept of line on the graph.

Answers

Answer:

the y intercept is -3. it is -3 because it goes through the point (0,-3)

Find the solution of each equation if the replacement set is 10 11 12 13

Answers

[tex]\frac{b}{5}=2[/tex]

If we replace with 10:

[tex]\frac{10}{5}=2[/tex][tex]2=2[/tex]

10 is a solution.

Let's try with 11:

[tex]\frac{11}{5}=2[/tex][tex]2.2\ne2[/tex]

11 is not a solution.

WIth 12:

[tex]\frac{12}{5}=2[/tex][tex]2.4\ne2[/tex]

12 is not a solution

WIth 13

[tex]\frac{13}{5}=2[/tex][tex]2.6\ne2[/tex]

13 is not a solution.

Therefore, the solution to this equation is 10

2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day.
I NEED HELP .How fast in inches per minute can this weed grow? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.

Answers

Invasive weed grows at a rate of 0.0011 ft per minute a day

In the above question, it is given as

Invasive weed grows really fast and the rate of its growth is being provided as follows

The rate at which the weed is growing a day is = 1.65 ft

We need to find the, rate at which this weed is growing per minute

So, to do this, we'll find the growth in 1 min

In 24 hours growth is = 1.65 ft

Conversion factors

We know, 1 hour = 60 minutes

In 1 min growth is = [tex]\frac{1.65}{24 . 60}[/tex]

Here, we have multiplied with 60 in the denominator to convert hours into minutes  

After solving the fraction we'll get

Growth in 1 min of the weed = 0.0011 ft

Hence, Invasive weed grows at a rate of 0.0011 ft per minute a day

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Describe the slope of the line.AY|(-3, 1)2|-22X-25(2,-2)

Answers

A = (-3, 1)

B = (2, -2)

First we will calculate the slope of the line

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]m=\frac{-2-1}{2-(-3)}=\frac{-3}{5}_{}[/tex]

The slope is negative

Now, we are gonna calculate the equation, with (2, -2)

[tex]b=y-mx[/tex][tex]b=-2-(-\frac{3}{5})\cdot2[/tex][tex]b=-\frac{4}{5}[/tex]

Store A charges $10.00 for a pack of hotdogs and $8.00 for a pack of hotdog buns. Store B charges $11.00 for a pack of hotdogs and $7.50 for a pack of hotdog buns. Suppose you buy x packs of hotdogs and y packs of hotdog buns at both stores. You end up spend $80.00 at store A and $81.50 at store B. Which system of equations represents the total amount of money you spent on hotdogs and hotdog buns at each store?

Answers

Taking into account the definition of a system of linear equations, the system of equations that represents the total amount of money you spent on hotdogs and hotdog buns at each store is

10x + 8y= 80

11x + 7.50y= 81.50

System of linear equations

A system of linear equations is a set of linear equations that have more than one unknown, appear in several but not necessarily all of the equations, and are related by the equations.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in both equations.

System of equation in this case

In this case, a system of linear equations must be proposed taking into account that:

"x" is the packs of hotdogs buns at both stores."y" is the packs of hotdog buns at both stores.

You know that:

Store A charges $10.00 for a pack of hotdogs and $8.00 for a pack of hotdog buns. You end up spend $80.00 at store A.Store B charges $11.00 for a pack of hotdogs and $7.50 for a pack of hotdog buns.You end up spend $81.50 at store B.

The system of equations to be solved is

10x + 8y= 80

11x + 7.50y= 81.50

Learn more about system of equations:

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