Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%

Answer:

1.) 2(8x-1)+2(2x+4)

2.) 16x-2+4x+8

3.) (20x+6)

Step-by-step explanation:

The perimeter of the rectangle is (20x + 6)inches

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2l + 2w

Given that;

l = 8x - 1

w = 2x + 4

Susbtitute

P = 2(8x - 1) + 2(2x + 4)

Expand

P = 2(8x) - 2(1) + 2(2x) + 2(4)

P = 16x - 2 + 4x + 8

P = 16x + 4x - 2 + 8

P = 20x + 6

Hence the perimeter of the rectangle is (20x + 6)inches

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Step-by-step explanation:

Notice that:

15x = 5 * 3x and 10y = 5 * 2y.

Since there is a common factor of 5,

we can take out the factor.

=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

Answer:

0.5cm

Step-by-step explanation:

Using the sine rule

Answer:

c = 0.5 cm

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{c}{sin15}[/tex] = [tex]\frac{2}{sin105}[/tex] ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c = [tex]\frac{2sin15}{sin105}[/tex] ≈ 0.5 cm ( to the nearest tenth )

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

Answer:

37

Step-by-step explanation:

According to values of a function we can plot the points on a graph.

What is domain?

Domain is the value which we used to enter in a function to get the value of a function.

We have been given the domain of the function and we have to plot the value in the graph.

F(1/2)=log1=0

F(1)=log2=0.3

F(2)=log4=0.6

F(4)=log8=0.9

F(8)=log16=1.2

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Answer:

56 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Well, first thing we need to do is put this in slope intercept form of y.

Subtract 9 from both sides to isolate "y".

y= -3x-9

Now we can graph the equation

Graph the point (0,-9) since it is the y-intercept.

To get the x intercept, isolate the "x" variable instead of "y".

y+9 = -3x

(Divide every number on both sides of the equation by -3 to isolate "x".)

y/-3 -3= x

now that this is in slope intercept form of x, plug in 0 for y to get the number for x when y is 0.

0/-3 -3 = x

-3 = x.

Graph (-3, 0). Connect this point to the point (0,-9) and you get have successfully graphed the equation y+9= -3x.

I hope this helped.

Answer:

C

Step-by-step explanation:

Answer:

n  <  − 90

Step-by-step explanation:

hope this helps and have a great day!

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

Answer:

2/21

Step-by-step explanation:

Probability = expected outcome/ possible outcome

Answer:

Please check explanations

Step-by-step explanation:

Here, we want to interpret the meaning of the slope

The slope generally refers to the change in y values with corresponding change in x value

with respect to this question, we can see that the slope is negative

What this mean is that the rate of change in the level of oxygen measured in liters is decreasing with an increase in the time

This means that as more time elapses, more oxygen is used up leading to a decrease in the liters of oxygen present

Answer:

39

Step-by-step explanation:

Since the first measure is 39 that means the second is 39 because its the same.

hope it will help you..........

Answer:

Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

First we will solve terms inside the bracket

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]

Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]

Replacing the term:

[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]

Now, combine like terms

[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]

Now, multiply all terms with 2

[tex]42x-100y-360[/tex]

So, Simplifying  the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]

Answer:s-9

Step-by-step explanation: Decreased means subtract . and you are subtracting s from 9.

Hope it helps

Answer:

$37.26

Hope this helps.

The expression that represents the solution of y is y = √wz

The triangle represents the given parameter

Also, we can see that the figure combines two right-angled triangles is

By the theorem of the right-angled triangle

w : y = y : z

Express the above ratio as a fraction

So, we have the following equation

w / y = y / z

Cross multiply in the above equation

So, we have

y² = wz

Take the square roots

y = √wz

Hence, the solution of y is y = √wz

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The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.

Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x

Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000

Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.

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Answer:

1.6875

Step-by-step explanation:

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

Commutative Property - Gives you the ability to switch the order of the numbers in an expression.

Associative Property - Let's you move the parenthesis in an expression but not the numbers.

Inverse - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property