A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3

Step-by-step explanation:

Divide 140 by \(2\frac{4}{5}\) to represent the amount of hours he worked.

To make dividing easier, \(2\frac{4}{5}\) can also represent 2.8 as a decimal.

\(\frac{140}{2.8} =50\)

He has worked 50 hours after completing 140 rows of grapes.

Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate, as a proportion, is:

7280/624000 = 0.011667.

Hence, the property tax on a house with an assessed value of $762,000 is of:

0.011667 x 762,000 = $8,890.

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Here we must complete the given sentence. The complete sentence is:

"In a positive angle, the terminal side inclines  counterclockwise from the initial side."

So we start with the sentence:

"In a positive angle, the terminal side inclines  ______ from the initial side."

We need to see in which way the terminal side (this is, the non-fixed side of the angle, if it is inscribed in a coordinate axis) moves. By definition, for positive angles, this side moves counterclockwise (while for negative angles it would be clockwise).

So the complete statement is just:

"In a positive angle, the terminal side inclines  counterclockwise from the initial side."

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Answer:

clockwise

Step-by-step explanation:

The total cupcakes the bakery sell that day is 80

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

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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Answer:

5700

Step-by-step explanation:

Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.

Set up an equation: 0.35x = 1,995 and find x.

x = 5700

Answer:

7.25

Step-by-step explanation:

is your answer number 4

Answer: 3500x1 or 35x100

Step-by-step explanation:

350x10=3500

3500x1=3500

35x100=3500

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The price of the cost per quart of laundry detergent is A = $ 3.47

Given data ,

Let the unit cost rate be A

Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.

To find the price per quart, we can divide the total cost by the number of quarts:

Price per quart = Total cost / Number of quarts

Price per quart = $27.76 / 8 = $3.47

Hence , the price per quart of laundry detergent is $ 3.47

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Answer: 166.72 \(ft^{2}\)

Step-by-step explanation: math

Step-by-step explanation:

All you have to do here is use the surface area, or SA, equation.

Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)

Sa=54.4+81.6+30.72

Sa=166.72

Hope this helped!

The kilometer-to-mile ratio is 0.621371 km/mile when represented as a unit ratio.

A unit ratio is a ratio that compares two quantities with the same unit of measure. In this case, we want to express the kilometer-to-mile ratio as a unit ratio.

We know that 4.82803 km is equivalent to 3 miles. To express this as a unit ratio, we need to compare the number of kilometers to the number of miles. We can do this by dividing both sides of the equation by the same value, such as by 3 or by 4.82803.

Let's divide both sides of the equation by 4.82803 km:

(4.82803 km) / (4.82803 km) = (3 miles) / (4.82803 km)

Simplifying this equation, we get:

1 = 0.621371 km/mile

Therefore, the kilometer-to-mile ratio expressed as a unit ratio is 0.621371 km/mile. This means that for every 1 kilometer, there are 0.621371 miles.

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

\(xy-3x^2+2x\)

Factor by pulling out the x-term.

\(x(y-3x+2)\)

Arrange as we get -

\(x(-3x+y+2)\)       ----------> Answer

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS  is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.

Here,

Given:

we have to solve the system of equations given. .Each equation is added together to remove the variable Y.

2x + y = 4  

+

3x - y = 6

________

=> 5x =10

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

x =10 / 5 = 2

⇒ x=2

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The equation of circle is x² + y² = 36.

We have,

Center= (0, 0)

Passing point = (0, 6)

We know the equation of circle is

(x-h)² + (y-k)² = r²

where (h, k) be the center and r be the radius.

Now, the radius of circle is

= √(6-0)² + (0-0)²

= √36

= 6 unit

So, the equation of circle

(x-0)² + (y-0)² = 6²

x² + y² = 36

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Since our assumption holds for all values between 6 and k, and we have shown it also holds for k+1, we can conclude by strong induction that it is possible to cut a square into n smaller squares for any n ≥ 6.

To prove this using strong induction, we will first establish a base case and then prove that if the statement holds true for any value k, then it also holds true for k+1.
Base Case: n = 6
Divide the square into four equal smaller squares by drawing two lines, one vertical and one horizontal, each passing through the center.

Then, divide one of these smaller squares into two equal rectangles by drawing a line parallel to the side.

We have now divided the original square into 6 smaller squares.
Inductive Step:
Assume the statement is true for all values n = 6, 7, ..., k,

where k ≥ 6.

We want to prove that the statement is true for n = k+1.
Consider a square that is divided into k smaller squares.

We will show that it is possible to divide this square into k+1 smaller squares.

Choose one of the k squares and label it S.

If S is a rectangle, divide it into two smaller squares by drawing a line parallel to the shorter side.

If S is a square, divide it into two equal rectangles by drawing a line through the center parallel to a side.
In either case, we have replaced one of the original k squares with two smaller squares, resulting in a total of k+1 squares.

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Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

Answer:

12 2/3

Step-by-step explanation:

I'm too lazy to give an explanation. Hope this helped though.

Answer:

Step-by-step explanation:

\(4−(2x+4)=5\)

First of all remove the parenthesis

That's

\(4 - 2x - 4 = 5 \\ - 2x = 5\)

Divide both sides by - 2

\( \frac{ - 2x}{ - 2} = \frac{5}{ - 2} \\ \)

We have the final answer as

\(x = - \frac{5}{2} \\ \)

Hope this helps you

1)  The empirical formula for this compound is; K₂Cr₂O₇

2) It is an Ionic compound because it has two potassium ions (K+) and a negatively charged dichromate ion (Cr2O7-).

1) Elements of the unknown compound are;

Potassium = 40 g

Chromium = 52 g

Oxygen = 56 g

Let us find the number of moles of each element;

Number of moles of Potassium = 40/39 = 1.026 mol K

Number of moles of Chromium = 52/52 = 1 mol Cr

Number of moles of oxygen = 56/16 = 3.5 mol O

Multiply through the number of moles by 2 and round up to the nearest whole number to get the empirical formula at; K₂Cr₂O₇

2) The compound K₂Cr₂O₇ is called Potassium dichromate. It is classified as an ionic compound because it has two potassium ions (K+) and a negatively charged dichromate ion (Cr2O7-).

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Answer:

150,30,6,6/5,6/25

Step-by-step explanation:

The first five terms of the sequence will be;

⇒ 150, 30, 6, 6/5, 6/25

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The explicit formula is;

⇒ \(a_{n } = 150( \frac{1}{5} )^{n - 1}\)

Now,

Since, The explicit formula is;

⇒ \(a_{n } = 150( \frac{1}{5} )^{n - 1}\)

Hence, The first five terms are find by putting n = 1, 2 , 3, 4 , 5 as;

⇒ \(a_{n } = 150( \frac{1}{5} )^{n - 1}\)

Put n = 1;

⇒ \(a_{1 } = 150( \frac{1}{5} )^{1 - 1} = 150\)

Put n = 2;

⇒ \(a_{2 } = 150( \frac{1}{5} )^{2 - 1} = 150 *\frac{1}{5} = 30\)

Put n = 3;

⇒ \(a_{3} = 150( \frac{1}{5} )^{3 - 1} = 150 *\frac{1}{5^2} = 6\)

Put n = 4;

⇒ \(a_{4 } = 150( \frac{1}{5} )^{4 - 1} = 150 * \frac{1}{5^3} = \frac{6}{5}\)

Put  = 5;

⇒ \(a_{5 } = 150( \frac{1}{5} )^{5 - 1} = 150 * \frac{1}{5^4} = \frac{6}{25}\)

Thus, The first five terms of the sequence will be;

⇒ 150, 30, 6, 6/5, 6/25

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

3×1×1.

Step-by-step explanation:

The restaurant gives us an Italian bread, a whole wheat role and a wrap:

Counted together that's 3.

Then they let us choose one type of meat:

Counted that's only 1.

Finally, they let us choose one type of cheese:

Counted that's also 1.

Together that makes 3×1×1.

Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

The required simplified value of the (f + g)(2) for given functions is 1.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
(f + g)(2).= f(2) + g(2) - - - - - - - - - (1)

From the graph
f(2) = -3
g(2) = 4
Put the above values in equation 1.
(f + g)(2) = -3 + 4
(f + g)(2) = 1

(f + g)(2) = 1

Thus, the required simplified value of the (f + g)(2) is 1.

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The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

9.95+9.95+9.95= 29.85

50-29.85=20.15

I hope this was helpful <3

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation: