Write an equation for each line using slope intercept form

Answer: 38.75 hours

Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.

Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!

Answer:

38 3/4

Step-by-step explanation:

7 3/4 times 5 =

7 3/4 = 31/4

31/4 times 5 = 155/4

= 38 3/4

The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.

So, the ratio of gallons of blue paint to gallons of yellow paint is

= 5 to 9  or 5:9

Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint

= 1- 5/9

=4/9

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Answer: 90 x 4 x 1

Step-by-step explanation:

90 x 4 x 1 = 360

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Answer:

360

Step-by-step explanation:

2³x3²x5

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Answer:

4 hostel rooms

Step-by-step explanation:

okay so for this all you need to do is read the chart

The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2

From the question, we are to solve the given quadratic equation using the quadratic formula

The given quadratic equation is

x² - 6x + 1 = 0

Using the quadratic formula,

x = [-b±√(b² - 4ac)] / 2a

a = 1, b = -6, and c = 1

Thus,

x = [-(-6) ±√((-6)² - 4(1)(1))] / 2(1)

x = [6 ±√(36 - 4)] / 2

x = [6 ±√(32)] / 2

x = [6 ± 4√2] / 2

x = [2(3 ± 2√2)] / 2

x = 2(3 ± 2√2) / 2

x = (3 ± 2√2)

x = 3 + 2√2 and 3 - 2√2

Hence, the roots are 3 + 2√2 and 3 - 2√2

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The researcher was using Investigator triangulation quality-enhancement strategy.

The Investigator triangulation strategy make use of more than one researcher, investigator or interviewer to study the data.This research strategy can help you improve the credibility and the validity of your findings.

Including the Investigator triangulation strategy , there are basically four types of triangulation strategies . The other three are listed below :

- Data Triangulation

- Theory Triangulation

- Methodological Triangulation

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An equation in slope-intercept form that represents the situation is C(x) = -267 + 6x.

A linear equation is an equation that has a single variable that is raised to the power of one. When shown on a graph, a linear equation is a straight line that can slope either upward or downward.

The general form of a linear equation is

y = mx + b

Where:

Slope = change in the chirps / change in the temperature

Slope = (117 - 99) / (64 - 61)

Slope = 18 / 3

Slope = 6

99 = a + 6x

99 = a + 6(61)

99 = a + 366

a = 99 - 366

a = -267

C(x) = -267 + 6x

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Answer:

Perimeter = 18√3 = 18SQR(3)

Area = 27√3 = 27SQR(3)

Step-by-step explanation:

The sides of a regular polygon are congruent.

Therefore, as the triangle is a regular polygon, it is an equilateral triangle since its sides (and interior angles) are congruent.

The interior angles of a triangle sum to 180°.  Therefore, each interior angle of the equilateral triangle is 60°.  

Therefore, the right triangle formed inside the equilateral triangle by the perpendicular bisectors is a 30-60-90 triangle with hypotenuse of 6 units.

The ratio of the side lengths of a 30-60-90 triangle is b : b√3 : 2b, where:

As the hypotenuse of the 30-60-90 right triangle is 6 units:

[tex]2b = 6 \implies b=3[/tex]

Therefore, the length of the longest leg of the right triangle is 3√3.

As this is half the length of one side of the equilateral triangle:

[tex]\implies \sf Perimeter = 6 \times 3 \sqrt{3}=18\sqrt{3}\; units[/tex]

Heron's Formula allows us to find the area of a triangle in terms of its side lengths.

Heron's Formula

[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

where:

Given:

Substitute these values into the Heron's formula to calculate the area of the equilateral triangle:

[tex]\begin{aligned}\implies \sf Area &= \sf \sqrt{9\sqrt{3}(9\sqrt{3}-6\sqrt{3})^3}\\ &= \sf \sqrt{9\sqrt{3}(3\sqrt{3})^3}\\ &= \sf \sqrt{9\sqrt{3}(81\sqrt{3})}\\&=\sf \sqrt{2187}\\&=\sf \sqrt{729 \cdot 3}\\&=\sf \sqrt{729}\sqrt{3}\\&=\sf 27\sqrt{3} \;\;units^2\end{aligned}[/tex]

The value of x is 32.5°(degree) when isosceles triangle has a base angle of (4x-3)degrees and non base angle is 54 degrees.

We know that an isosceles triangles is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180°(degrees).

According to given data,

⇒ 180 - {(4x-3)+54}= 0

⇒180 - 4x + 3 - 54 = 0

⇒130 = 4x

∴ x = 32.5°(degree).

That means that each base angle is 32.5°(degree).

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Answer:

step 2 is where she made her mistake

Step-by-step explanation:

- 4x + 1 > 9 ( subtract 1 from both sides )

- 4x > 8

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 2

The percentage of the profit gain by karen on a pack of 8 bottles  is 220%.

Karen buys a pack of bottles of water. = 8

Karen sells all 8 bottles of water for rupees =  50p each

=  50p/100 each

= 0.5 rupees

Total rupees for 8 bottles = 8 x 0.5 = 4

The pack costs  = 1.25

Profit % = (Profit / C.P.) × 100

Profit = SP - CP

=  4 - 1.25

= 2.75

then using these values in equation we get :

profit = [tex]\frac{4 - 1.25}{1.25} * 100[/tex]

profit = (2.75/1.25 )x 100

profit = 2.2 x 100 = 220

profit = 220%

The percentage of the profit gain by karen on a pack of 8 bottles  is 220%.

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The values of the variables x and y in the triangle are 1.25 and 1.75

The tringle represents the given parameter

On the triangle, we have the following equivalent ratio

5 : 8 = 5 + x : 10

7 : 8 = 7 + y : 10

These are true because the horizontal lines of the triangles are parallel

So, we have

5 : 8 = 5 + x : 10

Express as fraction

5/8 = 5 + x/10

This gives

5 + x = 6.25

Solve for x

x  = 1.25

Similarly, we have

7 : 8 = 7 + y : 10

So, we have

7/8 = 7 + y/10

This gives

7 + y = 10*7/8

Evaluate

7 + y = 8.75

So, we have

y = 1.75

Hence, the values of x and y are 1.25 and 1.75

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The GCF of the expressions given as 70x³z and 45y⁴z² is 5z

From the question, we have the following expressions

70x^3z and 45y^4z^2

Rewrite the given expression as follows

This is represented using

70x³z and 45y⁴z²

Factor out z from the expression

So, we have the following representation

70x³ and 45y⁴z => Factored z

Factor out 5 from the expression

So, we have the following representation

14x³ and 9y⁴z => Factored 5z

So, we have

Factored = 5z

This represents the GCF

Hence, the GCF is 5z

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Answer: i think its -18

Step-by-step explanation:

5*(4-9*2)-2*(3*2+4)+7

= 5*(4-18)-2*(3*2+4)+7

= 5*(-14)-2*(3*2+4)+7

= 5*-14-2*(3*2+4)+7

= 5*-14-2*(6+4)+7

= 5*-14-2*(10)+7

= 5*-14-2*10+7

= -70-2*10+7

= -70-20+7

= -90+7

= -83

A rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5..

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

L = length of rectangle,

W = width of rectangle and

D = length of diagonal = x

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle

The area of the rectangle is given by A = LW where

L = length of rectangle and

W = width of rectangle

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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The ordered pair of the values of f(x) and g(x) of (4, 3) and (4, 3) indicates that the input value that produces the same output value for f(x) and g(x) functions is x = 3

The input values of a function are the values that serve as the argument of the function. They are also known as the independent variable. The operations of a function are performed on the input values such that each input produces only one output, which is known as the dependent variable. The set of the input values is known as the domain of the function.

The output value of a function are the values of the function that gives the image of the input values, and they are known as the dependent variable. The set of the output values is the range of the function.

The points on the graph are;

Therefore, from the graph, at the point x = 3, f(x) = g(x) = 4

The input value that produces the same output value for the two functions on the graph is the x-value of 3

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By using the concept of mean and standard deviation, it can be obtained that

The mean of the distribution of sample mean ([tex]\mu_x[/tex]) = 83.3

Standard deviation of distribution ([tex]\sigma_x[/tex]) = 0.714

What is mean and standard deviation?

Suppose there is a data set and an average value of the data set needs to be calculated. To find the average value of the data set, mean is used

For Standard deviation, at first, it is important to know about variance

Variance is the sum of the square of deviation from mean.

Square root of variance is the standard deviation

A population of values has an unknown distribution with

[tex]\mu = 83.3[/tex] and [tex]\sigma = 10.4[/tex], n = 212

So the mean of the distribution of sample mean ([tex]\mu_x[/tex]) = 83.3

Standard deviation of distribution ([tex]\sigma_x[/tex]) = [tex]\frac{10.4}{\sqrt{212}}[/tex] = 0.714

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Answer:

Step-by-step explanation:

my answer is attached in the photo below

Andre takes 36 minutes to walk to the school.

Given, It take Jada 20 minutes to walks to school.

It takes Andre 80% a long to walk to school.

As, Andre takes 80% more to walk to school

So, the time Andre takes = 20×180/100

the time Andre takes = 2×18

the time Andre takes = 36 minutes

Hence, Andre takes 36 minutes to walk to the school.

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The value of f(8) is 3.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to obtain a number x is hence the logarithm of a number x to the base b. For instance, since 1000 = 103, log10 of 1000 is 3, or [tex]log_1_0=3[/tex].

Let, [tex]f(x) = log_2(x)[/tex]

We have to find the value of f(8).

Plug x = 8 in the above equation.

[tex]f(8) =log_2(8)[/tex]

Here 8 = 2 x 2 x 2 = 2^3

So, replace 8 with 2^3 in the above equation.

[tex]f(8) = log_2(2^3)[/tex]

Using the log rule: [tex]log_a(a^b) = b[/tex]

Here a = 2, b = 3

So, [tex]log_2(2^3) = 3[/tex]

Hence, f(8) = 3.

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Answer:

  (c)  Neither

Step-by-step explanation:

You want to know the kind of sequence that as terms 2, 7, 14, 23, 34, ....

The first differences of terms of this sequence are ...

  7 -2 = 5

  14 -7 = 7

  23 -14 = 9

  34 -23 = 11

These difference are not constant, so the sequence is not arithmetic.

These differences do not have a common ratio, so the sequence is not geometric.

However, these differences do have a common difference:

  7 -5 = 2

  9 -7 = 2

  11 -9 = 2

The fact that second differences are constant means this is a polynomial sequence of second degree. It is a quadratic sequence, neither arithmetic nor geometric.

__

Additional comment

The sequence is described by the quadratic equation ...

  a(n) = n² +2n -1

Answer:

x = 1

Step-by-step explanation:

Given equation,

→ -31 - 4x = -5 - 5(1 + 5x)

Now the value of x will be,

→ -31 - 4x = -5 - 5(1 + 5x)

→ -31 - 4x = -5 - 5 - 25x

→ -4x + 25x = -10 + 31

→ 21x = 21

→ x = 21/21

→ [ x = 1 ]

Hence, the value of x is 1.

The value of the variable x in the equation -31 -4x = -5- 5(1+ 5x) will be 1.

The given algebraic expression with the variable x is,

-31 - 4x = -5 -5(1+ 5x)

By further solving it, we get,

- 31 - 4x = -5 -5 -25x

To simplify the equation, we have to first separate the constants and variables,

=> 25x - 4x = -5 -5 + 31

=> 21x = 31 - 5 -5

=> 21x = 31- 10

=> 21x = 21

=> x = 21/21

=> x= 1.

Hence, the value of the variable x in the algebraic expression, -31 - 4x = -5 -5(1+ 5x), is found to be 1.

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The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.

Given the expression in the question;

To determine the numerical value of the expression, plug in the values of j and k and then simplify.

( jk − 1 ) ÷ j

Plug in j = -4 and k = -0.9

( jk − 1 ) ÷ j

( (-4 × -0.9) − 1 ) ÷ (-4)

Simplify

( 3.6 − 1 ) ÷ (-4)

( 2.6 ) ÷ (-4)

-0.65

Therefore, the value of the expression is -0.65.

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The probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

What is probability?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

A highway construction site's cycle time for trucks transporting concrete is evenly spread over the range of 50 to 70 minutes, thus a = 50 and
b = 70
f(x) = 1/[b - a] = 1/[70 - 50] = 1/20 = 0.05, thus a uniform distribution.
Let P(cycle time is less than 65 minutes if it is known that the cycle time exceeds 55 minutes) be:
P(60 < X < 65) = ₆₀∫⁶⁵ f(x) dx =  ₆₀∫⁶⁵ (0.05) dx = 0.05*[65 - 60] = 0.05*5
= 0.25
Thus, the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 60 minutes is 0.25 .

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1. The linear function .f(2) = 79.4, therefore, test average for maths class after 2 test is: 79.4

2. Using the function table, the test average for science class is after the second test is: 84.

3. f(4) = 79.8

4. g(4) = 80

5. Science class was higher.

The equation of a linear function is given as .f(x) = mx + b, given that m represents the slope/unit rate, and b is the y-intercept or starting value.

The linear function for average test score in maths class is given as, .f(x) = 0.2x + 79

Write the linear function for science class;

Slope (m) = change in y/change in x = (84 - 82)/(2 - 3) = 2/-1

Slope (m) = -2

Substitute m = -2 and (x, y) = (3, 82) into y = mx + b:

82 = -2(3) + b

82 = -6 + b

82 + 6 = b

88 = b

b = 88

Substitute m = -2 and b = 88 into g(x) = mx + b:

g(x) = -2x + 88

Part 1:

Substitute x = 2 into .f(x) = 0.2x + 79

.f(2) = 0.2(2) + 79

.f(2) = 79.4

Test average for maths class after 2 test is: 79.4

Part 2:

Using the function table, when x = 2, the test average for science class is: 84.

Part 3:

Substitute x = 4 into  .f(x) = 0.2x + 79

.f(4) = 0.2(4)+ 79

.f(4) = 79.8

Part 4:

Substitute x = 4 into g(x) = -2x + 88

g(4) = -2(4) + 88

g(x) = 80

Part 5:

Science class had a higher test 4 average of 80.

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Radius of Earth's moon is [tex]1.737*10^{8}[/tex]

Very big or very small numbers can be presented in a simpler way using scientific notation. Although whole numbers can be stretched to infinity, humans are unable to write such enormous numbers on paper. Additionally, it was necessary to represent the numbers that appear at the millions place after the decimal in a more straightforward manner. The extended form of a few numbers is therefore difficult to represent. So, we employ scientific notations.

Given, radius of Earth's moon is 173,700,000.

As we know, in scientific notation there is only one number to the left.

So, we need to move the decimal to 8 places.

Therefore, radius of Earth's moon is [tex]1.737*10^{8}[/tex].

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14 people can go to the amusement park. Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Inequality: 33p + $12.50 ≤ $465

14 people can go to the amusement park

Inequality:

$465= Amount of money they have

$12.50= Parking Cost

$33= Cost of tickets per person

Because they only have $465, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

33p+ $12.50 ≤ $465

$465- $12.50 = $452.5 (452.5 is how much is left for tickets after subtracting the parking cost)

$33 x1 4 = $462 (14 tickets can be bought for the price of $33)

$462 - $452.5 = $9.5 (9.5 isn't enough for another person)

So, the solution to the inequality is 14 people can go to the amusement park.

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Answer: 45.5p is less than or equal to 465