Your team has carefully researched and selected two possible painting companies.
Pro Painters charge $200 per hour plus $6000 in material fees.
Illusion Ltd charges $150 per hour plus $8000 in material fees.

Who is cheaper for 35 hours of work? Justify your answers.

Answers

Answer 1

Answer:

Pro Painters are cheaper.

Explanation:

The given problem can be solved by using a Linear equation in 2 variables.

Pro Painters charged $200/hour +$6000

Let the Paint job takes 'x' hours and the total cost is 'y'.

Total cost:

y= \(200*x +6000\)    (This is a linear equation )

total cost for 35 hours job

y= 200 *35 +6000 dollars

y=7000+6000 dollars

y=13000 dollars

Illusion Ltd charges $150/hour +$ 8000.

Let the Paint job takes 'x' hours and the total cost is 'y'.

Total cost

y =\(150*x + 8000\)

for 35 hours total cost

y= 150*35+8000

y=5250+8000

y=13250 dollars

now, As $13250>$13000

Hence Pro painters are cheaper.

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Related Questions

How do you graph a system of linear inequalities?

Answers

Making a graph of linear inequalities is similar to making a graph of linear equations. But with inequalities, we find a region instead of a line.

What is linear inequality?

Linear inequalities are mathematical statements that are made up of two expressions which are compared using inequality symbols.

The following steps are to be followed to make a graph of linear inequality:-

1. Solve the inequality for y.

2. Considering the inequality as a linear equation graph the line. ( If the inequality sign does not contain an equal sign then draw a dashed line; if the inequality contains an equal sign then draw a solid line.

3. Shade the region that satisfies the inequality.

Hence, a system of linear inequality is graphed similarly to that of a linear equation, but a region is obtained.

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Corine and Shonda are reading the same book.

The rate at which Corine is reading the book can be represented by the equation y=32x,
where x
is the time in hours and y
is the number of chapters read.

Shonda's rate is represented by this graph.

A graph with the X-axis labeled Time in Hours and the Y-axis labeled Chapters Read. A line begins at the origin and passes through (1, 2), (2, 4), (3, 6), and continues on.

© 2017 StrongMind. Created using GeoGebra.

If the girls read the book at the same time, who will finish first? Why?

Select the option that correctly answers both questions.

Responses

Corine will finish first. Her ratio of chapters to hours is 32.
Shonda's rate of chapters to hours is 21,
and 32
is a greater slope than 21.
Corine will finish first. Her ratio of chapters to hours is Shonda's rate of chapters to hours is 2 over 1 textsf comma and 3 halves is a greater slope than

Shonda will finish first. Her ratio of chapters to hours is 21.
Corine's rate of chapters to hours is 32,
and 21
is a greater slope than 32.
Shonda will finish first. Her ratio of chapters to hours is Corine's rate of chapters to hours is 3 halves textsf comma and 2 over 1 is a greater slope than

Shonda will finish first. Her ratio of chapters to hours is 12.
Corine's rate of chapters to hours is 23,
and 12
is a greater slope than 23.
Shonda will finish first. Her ratio of chapters to hours is Corine's rate of chapters to hours is 2 thirds textsf comma and 1 half is a greater slope than

Corine will finish first. Her ratio of chapters to hours is 23.
Shonda's rate of chapters to hours is 12,
and 23
is a greater slope than 12.

Answers

If the girls read the book at the same time, who will finish first: A. Shonda will finish first. Her ratio of chapters to hours is 2/1. Corine's rate of chapters to hours is 3/2, and 2/1 is a greater slope than 3/2.

How to calculate or determine the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = 2/1

Slope (m) = 2.

Based on the table, the slope is the change in y-axis with respect to the x-axis and for Shonda it is equal to 2/1 or 2. Therefore, Shonda would finish before Corine because 2/1 > 3/2.

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Missing information:

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

Corine and Shonda are reading the same book.The rate at which Corine is reading the book can be represented

please help im having a really hard time in math i could use some help

please help im having a really hard time in math i could use some help

Answers

Answer:

answer a

Step-by-step explanation:

im pretty sure its this one, i used desmos graphing calculator- it's a really helpful tool and i would recommend using it if you're having a bit of a hard time!

Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C

Answers

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

How to obtain the most reasonable temperature?

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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A line passes through the point (-8, 5) and has a slope of 5/4. Write an equation in slope-intercept form for this line.

Answers

Answer:

5/48

Step-by-step explanation:

Looking for a clan?(Gaming clan) we are looking for content creators and more! we are a positive community and we support all gamers dreams! If Your interested reply also use our hashtag #TeamEmpire.Contact for more info
(408) 357-9368!

Answers

Answer:

BRAINLEST I LOVE M.INECRAFT R   O   B   L   O   X

Step-by-step explanation:

Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.

Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.

Answers

Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach's serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson's serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain's hypotheses are: H o: p = 90% and H a: p < 90%, where p = the true proportion of Coach Elyson's serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test? ​

Answers

Answer:

The correct answer is: 2%

Step-by-step explanation:

Took the quiz

Last year, the Galaxy Fair Amusement Park installed a family roller coaster they named The Twist. This coaster was designed to accommodate riders from age 4 to adult and features a tall climb hill and several banking turns. Overall, the park has been disappointed in the reception of The Twist, and very few families are riding the coaster this season. After some research, they discovered that park guests think the climb hill is too tall and fast for younger riders. Galaxy Fair Amusement Park has asked a roller coaster design firm to help them redesign The Twist during the coming off season. The quadratic function that represents the current climb hill is () = −0.102 + 3.6 − 2.4 and the quadratic function that represents the proposed redesign of the climb hill is () = −0.032 + 1.62 − 6.87. In these functions, the value of x represents the time, in seconds, since the roller coaster train cars have left the station, and the output variable is the height of the roller coaster track, in feet, above the ground. 1. Rewrite both () and () from standard form into vertex form. Explain your process. HINT: Each function has a common factor. Start by dividing it out. 2. State the vertex of each function. What does each vertex represent in context of The Twist? 3. Compare the a-value of () to the a-value of the parent quadratic function. What effect does this value have on a parabola? 4. Sketch both of the functions () and () on a single xy-plane. Describe the steps you took to create your sketch. 5. Use the vertex forms of () and () and the sketch you created in question 4 to describe the track changes that occur when the function that represents the climb hill is altered from () to (). Do you think these changes will help younger riders better enjoy The Twist? Explain.

Answers

Omg no lol a las autoridades del estado y a la prensa local el pasado domingo por el grupo a las autoridades del departamento del interior del estado en el estado del país en la capital mexicana y que se encuentra a un lado del país y a las autoridades del estado a las que no se ha podido hacer el

Answer:

can you add a picture or summerize this

Step-by-step explanation:

The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.

Answers

2 babababababababbabababababababababababa

Answer:

(5,100)

Step-by-step explanation:

Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?

Answers

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Alexa is hooked on a new book series, The Galaxy. Each book in the series is the same length and chronicles a different year in the Waka Waka Galaxy. Alexa has cleared off the top shelf of her bookcase to leave room for each of the books as they come out. There is a proportional relationship between the number of books on the shelf, x, and how much shelf space the books take up (in inches), y.
The equation that models this relationship is y=2x.
How many books will take up 16 inches of shelf space? Write your answer as a whole number or decimal.

Alexa is hooked on a new book series, The Galaxy. Each book in the series is the same length and chronicles

Answers

Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

X should equal 8!!!!!!!!!!!!!!!

Find the volume of the pyramid.

Find the volume of the pyramid.

Answers

Answer:

160 in³

Step-by-step explanation:

1/3base area * height

Hey! Can you please help me? Please answer each question and show work!! I’d appreciate it so much and mark you brainliest!!!!


17. The hourly temperature at Portland, Oregon, on a particular day is recorded below.

Hey! Can you please help me? Please answer each question and show work!! Id appreciate it so much and

Answers

Answer:

Please type the question down

Step-by-step explanation:

Hard too see

A phone company offers a monthly cellular phone plan for $25. The plan includes 250
anytime minutes, and charges $0.20 per minute above 250 min. Write a piecewise-defined function for C(x), the cost for using x minutes in a month

HELP PLEASE !!

Answers

C(x)={$25 if 0 is less than or equal to x is les than or equal to 250
C(x)=$25+$0.20x if x is greater 250

My phone don’t have math symbols

This question is about piecewise-defined function whereby the statements given are defined by two or more equations.

We need to translate the statement given in the question into inequality equations.

Piecewise-defined function for C(x) are;

C(x) = $25 {if 0 ≤ x ≥ 250}

C(x) = $25 + $0.20x {if x > 250}

We are told that the phone company offers a monthly plan that costs $25 and that this plan includes a maximum of 250 minutes.

Since the piece wise function for the cost is C(x), where x is the number of minutes in a month, then;

C(x) = $25 {if 0 ≤ x ≥ 250}

Also, we are told that there are charges of $0.20 per minute above 250 minutes.

Thus, we can write;

C(x) = $25 + $0.20x {if x > 250}

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On Wednesday, Isonil earned $21.00 for 3 hours of babysitting. On saturday, she babysat of the same family and earned $56.00. How many hours did she babysit for on saturday? Explain how you determined your answer. (Hint: Think about how much Isonil charge per hour for babysitting.)

Please helppp

Answers

Answer:

8 hours

Step-by-step explanation:

21/3=7 and 56/7=8

Answer:

She worked for 8 hours

Step-by-step explanation:

She earned $21 for 3 hours 21 divided by 3 is 7 so $7 an hour. She made $56 so 56 divided by 7 = 8 hours

. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *

Answers

Answer: the 10 people served .1 more cups per serving than the 12 people

Step-by-step explanation:

4.5/12=.375

4.75/10=.475

The difference between .375 and .475 is .1

How many commutes are exactly 68 minutes

How many commutes are exactly 68 minutes

Answers

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Can someone help me, please and thanks!

Can someone help me, please and thanks!

Answers

Answer:

wait do you need all the answers to it

How to solve -7=5x-2. 2 step equations using inverse operations

Answers

Answer:

-1

Step-by-step explanation:

Add 2 to both sides of the equation: -7 + 2 = 5x - 2 + 2. This gives you -5 = 5x.

Divide both sides of the equation by 5: -5/5 = 5x/5. This gives you -1 = x.

So the solution to the equation is x = -1.

Alternatively, you can also use inverse operations to solve the equation by isolating x to one side.

Add 2 to both sides of the equation: -7 + 2 = 5x - 2 + 2. This gives you -5 = 5x

Divide both sides of the equation by 5: -5/5 = 5x/5. This gives you -1 = x

So the solution to the equation is x = -1.

-7=5(-1)-2
-7=-5-2
-7=-7

Find the volume of the following figure

Find the volume of the following figure

Answers

to find volume is L x W x H
so it would be 6 x 4 x 2 so the answer is 48

if 10 bags of ice cost $12, how much does 1 bag cost

Answers

Answer:

1.20

Step-by-step explanation:

\( 12 \div 10 = 1.20\)

Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37



Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal

Answers

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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PLEASE HELP I NEED IT

What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?

Answers

Answer:

The equivalent expression is 6x+8.

Step-by-step explanation:

Given expression is:

1.5(3x + 4) + 0.25(6x + 8)

We will solve the expression and combine alike terms.

4.5x + 6 + 1.5x + 2

6x + 8

Therefore,

The equivalent expression is 6x+8.

The equivalent expression is 6x+8 is the correct answer

What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?

1/2(x+24)=21 (distributive property) thanks

Answers

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\(\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18\)

»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\(\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}\)

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Identify which type of sampling is used. A rescarch team wants to study the demographics of 9) college students in the U.S. using proportionate samples of students in U.S. percentages majors reflecting actual
A) Convenience
B) Cluster
C) Stratified
D) Simple random
E) Systematic

Answers

Answer:

C) Stratified

Step-by-step explanation:

Stratified sampling is a type of sampling technique where the samples are arranged in a sequence of layers called strata. An example of Stratified sampling is proportionate stratification. Here the size of the sample n is harmonious to the population size of the strata. Stratified sampling exhibit the method that makes use of the division of the total groups into smaller subgroups known as strata to conclude the statistical process of sampling.

-2log (6x + 1) = -6.

Answers

the exact form is x = 333/2 the decimal form is x = 166.5


Select the correct answer.

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?

68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.

Answers

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

f(x)=(x-1)(x-2)(x-3)(x-4)(x-3)(x-2)(x-2)/[(x-2)(x-4)(x-2)]

Answers

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Solve the right triangle.
A = 48.31º. c = 49.9​

Answers

Assuming angle A is opposite to side a, B is the opposite to side b, and angle C is the opposite to side c.

Answer:

The right triangle has the following angles:

A = 48.31º, B = 41.69º and C = 90º.

The sides are:

\( \\ a = 37.26\), \( \\ b = 33.12\) and c = 49.9.

Step-by-step explanation:

The inner sum of a triangle = 180º.

A=48.31º,

C=90º

A + B + C = 180º

48.31º+ B + 90º = 180º

B = 180º - 90º - 48.31º

B = 41.69º

We can apply the Law of Sines to solve for unknown sides:

\( \\ \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\)

We know that sin(90º) = 1.

\( \\ \frac{a}{sin(48.31)} = \frac{b}{sin(41.69)} = \frac{49.9}{1}\)

Then, a is:

\( \\ \frac{a}{sin(48.31)} = \frac{49.9}{1}\)

\( \\ a = 49.9*sin(48.31)\)

\( \\ a = 49.9*0.7467\)

\( \\ a = 37.26\)

Thus, b is:

\( \\ \frac{b}{sin(41.69)} = \frac{49.9}{1}\)

\( \\ b = 49.9*sin(41.69)\)

\( \\ b = 33.12\)

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