A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?

Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

To learn more about proportion visit:

https://brainly.com/question/21570782

#SPJ9

The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ11

To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

To know more about number, visit:

https://brainly.com/question/3589540

#SPJ11

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer: 75%

Step-by-step explanation:

35% of 5 liters is 1.75 liters

1.75 liters + 8 liters = 9.75 liters (only juice)

(5 liters + 8 liters = 13 liters) (the whole thing)

So, 9.75/13 is 75%

When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.

To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.

To know more about significant figures, visit:

https://brainly.com/question/29153641

#SPJ11

Answer:

2x - 4y = 8

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

4y = 2x - 8 ( subtract 2x from both sides )

- 2x + 4y = - 8 ( multiply through by - 1 )

2x - 4y = 8 ← in standard form

it would be 4×10\(^{5}\)

Answer:

(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)

Part of Entire Population married = 12/17 = 70.58%

Step-by-step explanation:

Fraction of men married:

\(\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........\)

Fraction of women married:

\(\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........\)

To solve the problem, we know that number of husbands should be equal to number of wives.

Number of husbands and wives are represented by the numerators of both fractions.

We have to find such a multiple of each fraction such that there numerator are same.

Let fraction of men married:  \(\frac{6}{9}\)

Let fraction of women married:  \(\frac{6}{8}\)

Add the numerators and denominator to find the solution:

\(\frac{6+6}{9+8}= \frac{12}{17}\)

Answer:

x = 4

Step-by-step explanation:

30x = 29x + 4

subtract 29x from both sides

x = 4

The polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

What is the Polynomial Division?

A polynomial is divided by another polynomial in an arithmetic operation called division, usually with a lower degree than the dividend. A polynomial may or may not be produced when two polynomials are divided.

To perform the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, we can use the standard long division algorithm. Here are the steps:

x + 2 | x⁸ + 0x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x - 1

   - x⁸ - 2x⁷

   ------------

         2x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

         2x⁷ + 4x⁶

         ----------

                   - 4x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                   - 4x⁶ - 8x⁵

                   ------------

                              8x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                              8x⁵ + 16x⁴

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

                                        -16x⁴ + 0x³ + 0x² + 0x

                                        -16x⁴ - 32x³

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

                                                     32x³ + 0x² + 0x

                                                     32x³ + 64x²

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

                                                                 -64x² + 0x

                                                                 -64x² - 128x

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

                                                                          128x - 1

Therefore, we have:

(f(x))/(d(x)) = Q(x) + (R(x))/(d(x)) = x⁷ - 2x⁶ + 4x⁵ - 8x⁴ + 16x³ - 32x² + 64x - 128 + (-1)/(x + 2)

Hence, the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

To learn more about the polynomial division visit:

https://brainly.com/question/12520197

#SPJ1

The percentage of the data values are greater than 24 is 75%.

A box and whisker plot is a special type of graph that is used to show groups of number data and how they are spread. It shows the median, which is the middle value of the numbers in your data, the lowest number, the highest number and the quartiles, which divides the data into four equal groups.

So as per the given question box-whisker plot represents some data set. There is a number 24 just corresponding to it there is a vertical line which shows that 24 is the first quartile of the data and here 24 is the 75th percentile.

It means that there is 75% values are greater than 24.

Therefore, the percentage of the data values are greater than 24 is 75%.

Learn more about the box-and-whisker plot here:

https://brainly.com/question/11859288.

#SPJ9

Answer:

X = 5

Step-by-step explanation:

You always do the inverse (opposite). 20 - 15 = 5, therefore the variable 'X' = 5. Also, if you add '6' to 'X', then it shall be ONE greater than 20.

Answer:

any real number greater than 5

Step-by-step explanation:

X+15> 20

X>20-15

X>5

(5,∞)

you can easily know by ;- 6+15>20

21>20 it's true

The triple integral in rectangular coordinates to find the volume of the solid is: ∫∫∫ 1 dxdydz

To set up the triple integral in rectangular coordinates to find the volume of the solid bounded by the surfaces y=x, x+z=2, the xz-plane, and the xy-plane, we need to determine the limits of integration for each variable.

Let's start by visualizing the solid described by the given surfaces.

The surface y=x forms a plane that intersects the xy-plane at a 45-degree angle.

The surface x+z=2 is a plane that intersects the xz-plane at z=2 and is parallel to the y-axis.

The xz-plane and the xy-plane form the lower and upper boundaries of the solid.

Now, let's determine the limits of integration for each variable.

For the z-coordinate:

Since the surface x+z=2 is parallel to the y-axis, the z-coordinate will range from 0 to 2.

0 ≤ z ≤ 2

For the y-coordinate:

The surface y=x forms a plane that intersects the xy-plane at a 45-degree angle. Therefore, the y-coordinate will also range from 0 to 2.

0 ≤ y ≤ 2

For the x-coordinate:

To determine the limits of integration for x, we need to find the intersection points between the surfaces y=x and x+z=2.

From y=x, we can substitute y=x into x+z=2:

x+z=2

x+x=2

2x=2

x=1

So, the x-coordinate will range from 0 to 1.

0 ≤ x ≤ 1

Therefore, the triple integral in rectangular coordinates to find the volume of the solid is: ∫∫∫ 1 dxdydz

To know more about integral refer here:

https://brainly.com/question/31744185#

#SPJ11

The average temperature change per hour was -2.708 degrees Fahrenheit.

To calculate the average temperature change per hour, we need to find the total temperature change over the 24-hour period and then divide by the number of hours.

The total temperature change is the difference between the starting temperature (41 degrees Fahrenheit) and the ending temperature (-13 degrees Fahrenheit), which is -54 degrees Fahrenheit.

Dividing the total temperature change by the number of hours, we get:

-54 degrees Fahrenheit / 24 hours = -2.25 degrees Fahrenheit per hour.

Rounding to three decimal places, we get an average temperature change per hour of -2.708 degrees Fahrenheit per hour.

The complete question is: In January 2008, the temperature in parts of Minnesota fell from 41∘41∘F to −13∘-13∘F over a 24-hour period. What was the average temperature change per hour?

To know more about average temperature change, refer here:

https://brainly.com/question/30856890#

#SPJ11

Answer:

i think that the last one would make more sense "If mia doesn't go to the mall, Justin doesn't like pretzels". Im not 100% sure tho

The Area Of The Circle Is 452.16

The Circumference Of The Circle Is 75.36

Answer:

2.45 seconds to the nearest hundredth.

Step-by-step explanation:

Acceleration a = -5, distance s = 15, time  = ?.

Final  velocity = v =  0.

We need to use the equations of motion under constant acceleration.

v^2 = u^2 + 2as       where u is the initial velocity

0 = u^2 + 2*-5*15

u^2 = 150

so u = √150

Now we use v = u + at:

0 = √150 - 5t

t = √150/5

t = 2.45 seconds.

From the given equation y=16, it implies that the line has no slope.

Hence, the slope is zero (0).

From the given point:

The equation of the line is given by the equation:

Hence, the equation of the line is y=43

Answer:

9. 72

10. 67

11. 41

12. 67

Answer:

110 hope u get a good grade:) add me on ig welia.martinez

.

Step-by-step explanation:

Answer:

Solution

X+129= 120( Alternate Angles)

or, X=120-129

or, X= -8.

I think it will help you.

Following is a description of the proportionate relationship in the table:

The number of hours spent exercising determines the quantity of calories expended. 190 calories are burned after a one-hour workout, and 380 calories are burned during a two-hour workout.

The definition of a proportionate relationship is as follows:

y = kx.

where k is the proportionality constant.

The following are the factors for this issue:

Number of hours to enter.

Calorie burned as an output.

Because of this, the constant is stated as k = 570/3 = 380/2 = 190/1 = 190 calories burned per hour.

To know more about proportional relationships, visit:

brainly.com/question/10424180

#SPJ1

The complete question is:

The table shows a proportional relationship.

Workout (hours) 1 2 3

Calories Burned 190 380 570

Create a description in words for the table.

The number of calories burned is dependent on the number of hours working out. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.

The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.

The number of hours working out is dependent on the number of calories burned. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.

The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there

Answer:

slope is 2

Step-by-step explanation:

Answer:

 $45 + $x =  $80

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

Learn more about significant digits

brainly.com/question/29055736

#SPJ11

0.05×0.04=0.002 is the product represented by the model

Two or more expressions with an Equal sign is called as Equation.

Given:

5 column (hundred grid) = 5/100 = 0.05

4 row (hundred grid) = 4/100 = 0.04

We need to find Area equation

Computation:

Area equation = 0.05 x 0.04

0.05 x 0.04 = 0.002

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

This sample has an average of −9: −15, −12, −10, −9, −9, −9, −9, −8, −5, −4.

To make up a sample of size n = 10 for which the average is −9, we can use the following formula:

Average = (Sum of all values) / (Number of values)

If we rearrange this formula to solve for the sum of all values, we get:

Sum of all values = Average × Number of values

Plugging in the values for the average and number of values, we get:

Sum of all values = (−9) × 10 = −90

Now, we can come up with any 10 numbers that add up to −90. Here is one possible sample:

−15, −12, −10, −9, −9, −9, −9, −8, −5, −4

To check our work, we can add up these 10 numbers and divide by 10 to find the average:

(−15 + −12 + −10 + −9 + −9 + −9 + −9 + −8 + −5 + −4) / 10 = −90 / 10 = −9

Note that there are many other possible samples that would also have an average of −9, as long as the sum of all 10 numbers is −90.

For more similar questions on sample:

brainly.com/question/23364227

#SPJ11