9. A company is looking to hire a painter. One painter states that their fee can be determined by
using the expression 50x + 100 where x is the number of hours it takes to paint. A second painter
states that their fees can be determined by using the expression 40x + 125. The company wants
to know when the fee would be the same for each painter. What number of hours makes the
equation 50x + 100 = 40x + 150 true?

Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

When Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again

Given,

The passenger trains leave the station every 40 minutes

Freight trains leave every 30 minutes

We have to find the LCM

Prime factorization

30=2×3×5

40=2×2×2×5

LCM(30,40)= 2×2×2×3×5=120

Hence, when Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again.

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Answer:

107.33 inches

Step-by-step explanation:

Area of the square more = length ^2

Area of the square mirror = 720 square inches

Area of the square more = length ^2

720 = length^2

Find the square root of both sides

√720 = √lenght^2

Length = √720

Length = 26.83281573 inches

Each length of the wood = 26.83281573 inches

There are 4 equal sides on the square mirror

Total length of the wood = 26.83281573 × 4

= 107.33126292 inches

Length of wood trim is needed to go around the entire mirror to the nearest hundredth = 107.33 inches

Answer:46

Step-by-step explanation:

The amount of outdoor carpet needed is 40 ft².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Area of a rectangle = length × width.

The amount of square feet of outdoor carpet needed

= area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)

The amount of square feet of outdoor carpet needed

= 12 × 4 - (3 × 2 + 2 × 1)

= 48 - (6 + 2)

= 40 ft²

Thus, 40 ft² outdoor carpet needed.

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Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

C

It's a direct variation because you have a constant of 1.25 and no y intercept

Answer

Option C is correct.

Length of the rectangle = 140x - 82.5

Explanation

The perimeter of a rectangle is given as

P = 2 (L + W)

where

P = Perimeter of the rectangle = 340x - 255

L = Length of the rectangle = ?

W = Width of the rectangle = 30x - 45

P = 2 (L + W)

340x - 255 = 2 (L + 30x - 45)

340x - 255 = 2L + 60x - 90

We can rewrite this as

2L + 60x - 90 = 340x - 255

2L = 340x - 60x - 255 + 90

2L = 280x - 165

Divide both sides by 2

(2L/2) = (280x - 165)/2

L = 140x - 82.5

Hope this Helps!!!

Answer:

Perimeter = 126cm

Area = 972cm^2

Step-by-step explanation:

6*4.5 = 27

8*4.5 = 36

Perimeter = 27*2+36*2= 126 cm

Area = 27*36 = 972 cm^2

Hope this helped!

Answer:

Perimeter = 126 cm, area = 972 cm2

Step-by-step explanation:

Rectangle perimeter:

Rectangle area:

When scaled, the perimeter will change by same factor but the area by the square of same factor.

Applying to the given rectangle

Perimeter:

Area:

Correct choice is B

Step-by-step explanation:

3 more than the value of x

x+3

un punto en un gráfico de líneas es un valor específico que normalmente es un valor de entrada y salida (x)

Answer:

2sqr3, the first option

Step-by-step explanation:

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

The critical value is T = 2.7787

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.7787

The critical value is T = 2.7787

The critical values define the values to cut-off in a region where the test statistic does not belong

The critical value is \(\mathbf{-2.778715}\)

The given parameters are:

\(\mathbf{n = 27}\)

\(\mathbf{CL = 99\%}\)

First, we calculate the significance level

\(\mathbf{\alpha = \frac{1 - CL}{2}}\)

Substitute 99% for CL

\(\mathbf{\alpha = \frac{1 - 99\%}{2}}\)

Express percentage as decimal

\(\mathbf{\alpha = 1 - \frac{1 - 0.99}{2}}\)

\(\mathbf{\alpha =1 - \frac{0.01}{2}}\)

\(\mathbf{\alpha = 1 - 0.005}\)

\(\mathbf{\alpha = 0.995}\)

Next, calculate the degrees of freedom

\(\mathbf{df = n -1}\)

Substitute 27 for n

\(\mathbf{df = 27 -1}\)

\(\mathbf{df = 26}\)

At \(\mathbf{df = 26}\) and \(\mathbf{\alpha = 0.995}\), the critical value is -2.778715

So, we have:

\(\mathbf{t_c = -2.778715}\)

Hence, the critical value is \(\mathbf{-2.778715}\)

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The solutions to the given quadratic equation are x=11 and x=-3.

The given quadratic equation is x²-8x-33=0.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

By using splitting middle term method, we get

x²-11x+3x-33=0

x(x-11)+3(x-11)=0

(x-11)(x+3)=0

(x-11)=0 and (x+3)=0

x=11 and x=-3

Therefore, the solutions to the given quadratic equation are x=11 and x=-3.

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One real-life situation where the median and the interquartile range are likely the best measures of center and variation to describe the data is in income distribution analysis.

Income distribution is often highly skewed, with a few high-income earners at one end and a larger number of lower-income earners at the other end. In such cases, the mean can be heavily influenced by extreme values, such as a small number of very high incomes, leading to a distorted representation of the typical income level.

The median, on the other hand, is not affected by extreme values and represents the middle value of the income distribution. It provides a more accurate measure of the central tendency of the data, representing the income level that separates the higher half from the lower half of the population.

The interquartile range (IQR) is a measure of dispersion that captures the spread of the middle 50% of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).

The IQR is less sensitive to extreme values and outliers than the range or standard deviation, making it a robust measure of variability. In income distribution analysis, the IQR can provide insights into the income gap between the middle-income earners, which may be more representative of the majority of the population.

By using the median and the interquartile range in income distribution analysis, we can obtain a more accurate understanding of the central tendency and variation in income levels, without being overly influenced by extreme values that can skew the mean and other measures of dispersion.

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Answer:

J is the correct option.

Step-by-step explanation:

Have a nice day!

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

(-1,1)

Step-by-step explanation:

also use elimination steps by using simultaneous

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer:

Step-by-step explanation:

c

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

Answer:

Charles

Step-by-step explanation:

The end behavior of the graph is  since the first end drops and the second rises in this case.

The degree and leading coefficient of a particular polynomial's graph will be used to analyze its final behavior.

The right answer is C: "\(2x^{7}\) is the leading phrase. As an is positive and n is odd, the final behavior is down and up."

The general principle to remember is:

The polynomial's two arms move in the same direction if the degree is even, and both ends move upward if the leading coefficient is positive.

Both ends fall if the leading coefficient is negative.

Each end points in a separate directions if the degree is odd.

The first end (the one with the negative values) goes down and the other end goes up if the leading coefficient is positive.

The opposite occurs when the leading coefficient is negative.

This is the polynomial:

p(x)= \(2x^{7} -8x^{6} -3x^{5} -3\)

The degree is 7, therefore it is odd, and the leading coefficient is positive, as can be seen (is equal to 2).

The correct response is C since the first end drops and the second rises in this case.

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Simplify:

Step 1: Distribute

4 (x plus 5)

4x plus 20

Solution:

4x + 20

Hope this helps

:)

Answer:

U'/U

Step-by-step explanation: