Determine the value of x, in dollars, that will make their weekly pay the same.
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, x, which can be represented by g(x)=185+.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars,x, which can be represented by f(x)=275+.025x.

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

Learn more about linear equations at:

brainly.com/question/13763238

#SPJ1

Sathish will be going to pay a total of $64.8 for the gas.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

Answer:

The input is -6, hope this helps :D

Step-by-step explanation:

Represent the machines as expressions:

outputA= 7x-6

outputB= 3x+2

Find the input when the outputA is 3*outputB:

outputA=3outputB

(7x-6)=3(3x+2)

7x-6=9x+6

2x=-12

x=-6

Answer:

\(x=-6\)

Step-by-step explanation:

\(A=7x-6\\B=3x+2\\For A=3B\\7x-6=3(3x+2)\\7x-6=9x+6\\2x=-12\\x=-6\\\)

Answer:

\(y=(x+2)^2-16\)

Step-by-step explanation:

The region that contains the most dispersed data is between the upper quartile and the median.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.  

To learn more about box plots, please check: brainly.com/question/27215146

#SPJ1

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

The cost of the carpet will be $2,335.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The dimensions of the carpet are;

⇒ 15 feet by 18 feet

Now,

The area of the carpet = 15 x 18

                                   = 279 feet²

                                   = 270 / 3 yards²

                                   = 90 yards²

Since, The carpet costs = $25.95 per square yard.

Hence, The carpet cost for 90 yards² = 90 x $25.95

                                                          = $2,335.5

Thus, The cost of the carpet will be $2,335.5.

Learn more about the multiplication visit:

brainly.com/question/28734156

#SPJ1

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

Answer:

Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.

Step-by-step explanation:

When two lines intersect with each other then point of intersection formed by two intersecting lines create V in an absolute value graph is known as Vertex.

As given in the question,

Given : Two lines intersect with each other .

Therefore, point of intersection of two lines created V shape on the graph is called vertex.

learn more about intersection here

brainly.com/question/14217061

#SPJ4

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.

Answer:

Direct to running

Joint to apples

Direct to meat

I hope this is good enough:

\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} } ) \sdot(2 {}^{ \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{2}{x} + \frac{4}{x} } ) = 2 {}^{12} \)

\(\qquad \sf  \dashrightarrow \:(2 {}^{ \frac{6}{x} } ) = 2 {}^{12} \)

Now, since the base on both sides are equal, therefore their exponents are equal as well ~

\(\qquad \sf  \dashrightarrow \: \dfrac{6}{x} = 12\)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{6}{12} \)

\(\qquad \sf  \dashrightarrow \:x = \dfrac{1}{2} \)

or

\(\qquad \sf  \dashrightarrow \:x = 0.5\)

Hope you got the required Answer ~

The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

To learn more about probability:

https://brainly.com/question/23653224

#SPJ1

Answer:

47

Step-by-step explanation:

24+9-4×2+11×2

24+9-8+22

=47

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{24+9-4\times2+11\times2}}\\\large\boxed{\mathsf{= 33 - 4\times 2 + 11\times2}}\\\large\boxed{\mathsf{= 33 - 8 + 11\times2}}\\\large\boxed{\mathsf{= 25 + 11\times2}}\\\large\boxed{\mathsf{= 25 + 22}}\\\large\boxed{\mathsf{= 25 + 22}}\\\large\boxed{\mathsf{= 47}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{47}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\frak{Amphitrite1040:)}}\)

The slope of f(x) is greater than the slope of g(x).

The question looks incomplete,

The graph is not given, I have attached the graph of this question.

The function f(x) goes down by two and over by one

slope = rise/run

Using the given value in the above formula we get,

= -2/1

= -2.

The slope of f(x) is -2, while the slope of g(x) is -6.

Since -2 is a greater number than -6, the answer is

C) The slope of f(x) is greater than the slope of g(x).

To learn more about the line visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

Yes, it means that both of you obtain a result with the same precision and accuracy.

Step-by-step explanation:

It is provided that two different people took measurements in order to find the length of a rod.

The first person took 30 measurements.

The second person took 20 measurements.

Both the people got the same average length, i.e. L₀.

In statistics, a larger sample leads to an error free result.

So, for the first person the larger sample helped reducing the chance of any sort of error that may be present.

For the second person, the average is same as the first even when their sample size is less than the first.

This may happen because the sample was selected with a certain precision and accuracy.

Thus, both of them obtain a result with the same precision and accuracy.

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

zero

Step-by-step explanation:

pemdas

The difference in speed between Explorer B and Explorer A is 600 miles per hour.

In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.

Average speed = total distance / total time

Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour

Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour

Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.

To learn more about average speed, please check: https://brainly.com/question/21734785

#SPJ1

cosB:-

sinB:-

tanB

cosB= 8/17

because its = to Base/Hypotenuse

sinB=15/17

because its = to Perpendicular/Hypotenuse

tanB=15/8

because its = perpendicular/base

The requried probability that a randomly selected adult has an IQ between 85 and 115 is also 0.6827.

Standardize 85 and 115 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 85:

z = (85 - 100) / 15 = -1

For 115:

z = (115 - 100) / 15 = 1

So we want to find the probability that a standard normal random variable Z is between -1 and 1. Using a standard normal distribution table or a calculator, we can find that this probability is 0.6827.

Since IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, the probability that a randomly selected adult has an IQ between 85 and 115 is also 0.6827.

Learn more about Z-score here;

https://brainly.com/question/15016913

#SPJ1

We are given that a parallelogram can be represented by the following matrix:

The area of a parallelogram represented by a 2x2 matrix is the determinant of the matrix. The determinant of a matrix of the form:

Is given by:

Therefore, the determinant is:

Therefore, the area of the parallelogram is 25 square units.

Answer:

the answer is 24 :)))

Step-by-step explanation:

i try to be help unlike the other person

i know its 24 bc i had to do the assignment on edge2020 and that is the correct answer on edge

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

where slope = O

SO ,the line is parallel to X axis passing through -9

therefore j = _ 9

Answer:

Rule + 30, Equation: w=d+30

Step-by-step explanation:

Hope this will help some of you!

The amount in dollar for w weeks be d= 30 x w.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let w = the number of weeks.

Let d = the number of dollars April pays the service.

April pays a dog-walking service $30 each week to walk her dog.

So, the equation represents the situation

d= 30 x w

Hence, the amount in dollar for w weeks be d= 30 x w.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

quad 2

Step-by-step explanation:

Midpoint = (x1 + x2)/2,(y1 + y2)/2

x1 = 2

x2 = - 4

y1 = 5

y2 = 3

midpoint = (2 - 4)/2,(5 + 3)/2

midpoint = -2/2, 8/2

midpoint = -1,4

-1 for x puts you in quad 2 or 3

4 for y puts you in quad 2 because you are going up.

The final answer is in quad 2