A diagram of the side of Robert's barn is shown. If he decides to paint one side of the barn, how many square feet will Robert paint?

1. 254.5 ft^2
2. 310.5 ft^2
3. 391 ft^2
4. 805 ft^2

a. The revenue R as a function of x will be R = px.

b. The amount that charged for the television set if there are 70 television sets in stock is R / 70.

c. The amount that charged for the television set if there are 1250 television sets in stock is R / 1250

d. The revenue when there are 1250 sets in stock is 1250p

1. From the information, the price p and the quantity x sold of a small flat-screen television is.

given. The revenue will be:

= Price × Quantity

= p × x.

= px

b. The amount that charged for the television set if there are 70 television sets in stock will be:

R = px

R = 70p

p = R / 70

c. The amount that should be charged for the television set if there are 1250 television sets in stock will be:

R = px

R = 1250p

p = R / 1250

d. The revenue when there are 1250 sets in stock will be:

= Price × Quantity

= p × 1250

= 1250p

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Answer:

38

Step-by-step explanation:

Let x = the ones digit, and let y = the tens digit.

The number looks like yx.

The value of the original number is

10y + x

"the difference in the units digit and the tens digit is 5."

x - y = 5    Equation 1

When you reverse the digits, you have xy.

The value of the new number is

10x + y

"If the digits are reversed, the new number is the sum of twice the original number and seven."

10x + y = 2(10y + x) + 7      Equation 2

We have a system of 2 equations.

x - y = 5

10x + y = 2(10y + x) + 7

Simplify the second equation.

10x + y = 2(10y + x) + 7

10x + y = 20y + 2x + 7

8x - 19y = 7

x - y = 5

8x - 19y = 7

Solve the first equation for x. Substitute that value for x in the second equation.

x = 5 + y

8(5 + y) - 19y = 7

40 + 8y - 19y = 7

-11y = -33

y = 3

x = 5 + y

x = 5 + 3

x = 8

The digits are:

ones digit: 8

tens digit: 3

The number is 38.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ J(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-7})\qquad K(\stackrel{x_2}{-9}~,~\stackrel{y_2}{1}) ~\hfill JK=\sqrt{(~~ -9- (-7)~~)^2 + (~~ 1- (-7)~~)^2} \\\\\\ ~\hfill JK=\sqrt{( -2)^2 + ( 8)^2} \implies \boxed{JK=\sqrt{ 68 }}[/tex]

[tex]K(\stackrel{x_1}{-9}~,~\stackrel{y_1}{1})\qquad L(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1}) ~\hfill KL=\sqrt{(~~ -1- (-9)~~)^2 + (~~ -1- 1~~)^2} \\\\\\ ~\hfill KL=\sqrt{( 8)^2 + ( -2)^2} \implies \boxed{KL=\sqrt{ 68 }} \\\\\\ L(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad J(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7}) ~\hfill LJ=\sqrt{(~~ -7- (-1)~~)^2 + (~~ -7- (-1)~~)^2} \\\\\\ ~\hfill LJ=\sqrt{( -6)^2 + (-6)^2} \implies \boxed{LJ=\sqrt{ 72 }}[/tex]

well, let's notice, the triangle has two sides that are twins, JK and KL, that means is an isosceles, and isosceles triangle is a triangle with twin sides.

Answer:

9 and 1 respectively

Step-by-step explanation:

|2(-3)-5| = |-9| = 9

|2(2)-5| = |1| = 1

the vertical lines represents absolute value, this just mean that any negative values are then turned into their positive counterparts.

Answer:

18 portions

Step-by-step explanation:

1/4 x 4 1/2 = 18

Since the cost of each medium pizza is $7, then

Assume that the number of pizzas is x and the total cost is y, then

Multiply x by x to find y

The algebraic rule is

a) Let us complete the table

x: Process: y

0 0 x 7 = 0 0

1 1 x 7 = 7 7

2 2 x 7 = 14 14

3 3 x 7 = 21 21

4 4 x 7 = 28 28

a) We need to find the cost of 10 pizzas, then

Substitute x by 10 in the algebraic rule

The cost of the 10 pizzas is $70

b) If you have exactly $84, then substitute y by 84 to find x

Divide both sides by 7 to find x

You can buy 12 pizzas buy $84

c) If you buy 0 pizza, then the cost of it is

Since zero multiplied by any number give zero

The cost of zero pizza is zero

Because 0 x $7 = $0

Using the properties of parallel lines we find the value of x is 9 and the value of y is 13.

In geometry, parallel lines are coplanar, straight lines that never intersect.

15). In the given figure the two angles represented by 12x+1 and 15x -26 are equal. as they are alternate exterior angles.

We know from the property of parallel lines that they are equal.

Therefore:

12x+1 = 15x -26

or, 12x-15x = -26-1

or, -3x = -27

or, x = 9

Therefore the angles are 12x + 1 = 109

Now,

109 + 4y-9 +28 =180

or, 4y = 180 - 128

or, y = 13.

Therefore as the line l and m are parallel the value of x is 9 and the value of y is 13 .

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The answer to the expression is 54.6

1. Switch the positions of the variables in the equation. Starting with "solving for x" (or any other variable) in one of the equations, this "substitution" approach begins. [2] Say your equations are, respectively, 4x + 2y = 8 and 5x + 3y = 9.

2. To "solve for x," divide both sides of the equation.

3. Reconnect this to the other equation. Don't use the equation you just employed; rather, return to the other one.

When a particular variable's value is given to you

we just have to substitute that value in the required equation.

For instance in this question

x= 28.5

And the given equation is x + 26

Therefore the answer is 28.5 + 26 = 54.6 .

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ANSWER:

two points are (3,4) and (3,0)

the slope is undefined or indeterminate

SOLUTION:

since the denominator of the slope (change in x) is 0, the slope, change in y over change in x is indeterminate

Answer: 3:4

Step-by-step explanation:

Answer:

========================

Point-slope form is:

Find the slope:

Use one of the points and the slope to determine the equation of the line:

Answer:

[tex]y-10=\frac{2}{3} (x-5)[/tex]

Step-by-step explanation:

We are given: g(5)=10, and g(2)=8.

The value inside the parentheses is the x value, and the value that it (g(x)) is equal to is the y value.

So, as points, the values are (5, 10), and (2, 8).

The equation wants to be written in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.

We first want to find the slope of the line.

The slope (m) can be found with two points using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

We can label the values of the points we were given.

[tex]x_1=5\\y_1=10\\x_2=2\\y_2=8[/tex]

Now, substitute these values into the formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{8-10}{2-5}[/tex]

Subtract.

[tex]m=\frac{-2}{-3}[/tex]

Simplify.

[tex]m=\frac{2}{3}[/tex]

The slope is 2/3.

Since we now have the value of the slope, as well as [tex](x_1, y_1)[/tex], we can plug these values into the formula for point-slope form.

Recall that [tex]x_1=5[/tex] and [tex]y_1=10[/tex]; plug these in for [tex]x_1[/tex] and [tex]y_1[/tex] respectively.

[tex]y-10=m(x-5)[/tex]

We also just found the slope, which is 2/3. Plug that in for m.

[tex]y-10=\frac{2}{3} (x-5)[/tex]

Topics: Point-slope form, functions

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Solution

To graph the line y = x/6 - 3,

Since the y-intercept is -3

This picture should be of help

The odds in favor of Laura winning a camera 1/3.

What are the odds in favor?

The ratio of favorable outcomes to bad outcomes is known as the odds of the probability of a specific event.

The ratio of positive outcomes to unfavorable outcomes determines the odds in favor of a specific event.

Odds against are determined by dividing the number of unfavorable results by the number of favorable results.

9 prizes consist of 4 rings, 3 cameras, and 2 headsets.

Odds in favor = ( Number of favorable outcomes/ Number of unfavorable outcomes)

The odds in favor of Laura winning a camera = 3/9= 1/3

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Answer: $98.67

Step-by-step explanation:

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

A daily dose of 15750 mg is required of a certain medicine for a man weighing 175 pounds

An adult daily dose of a certain medicine = 90 mg for every pound of body weight

Daily dose: The adult daily dose specifies the amount of drug dose in mg that must be taken within 24 hours as per the body weight of the person. The body weight of the person determines how much dose is required for the medicine to be effective in the body.

Weight of the man = 175 pounds

The daily dose for a man is given:

Weight of man*Daily dose per pound of body weight

= 175*90

= 15750

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SOLUTION

We want to find the area of the triangle in the image.

To do this, we will make use of the Heroes formula which states

applying this, we have

The area A becomes

Hence the answer is 60 square units

Answer:

Multiplicative inverse

Step-by-step explanation:

Given:

To Determine: The value of x

Solution

Solve the derived equation by factorizing completing

Therefore

Hence, the value of x is 0.693

Answer:

C

Step-by-step explanation:

2. The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle AMI (where AI and MA are the legs and MI is the hypotenuse), we get:

3. By definition:

Applying this definition to triangle AMI, considering the angle M, we get:

This angle is greater than 68°, then it satisfies the regulation.

Answer:

they can be acute, obtuse, exterior, or interior angles

Step-by-step explanation:

Congruent angles are two or more angles that are identical to each other.  the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

Answer: 32 unit squared

Step-by-step explanation:

To find the area you multiply the amount of unit squares on one side of the shape and multiply it by the amount of unit squares at the top of the shape.

Answer:

to find the area of a shape you want to use the formula A=wl which is area is equal to width multiplied by length.

for this exact problem you want to count the squares on one short side and one long side. when you get the two numbers you multiply them

hope this helped!

Answer:

The height will reach 128 feet after 1 second.

The object will reach the ground after 3 seconds.

Step-by-step explanation:

Plug in the height into the equation: h(t)=144-16t^2

Solve for t.

Ex:

128=144-16t^2, subtract 144 on both sides

-16=-16t^2, divide -16 on both sides

1=t^2, find the square root of both sides

1=t

There were 707 representatives who attended political gatherings from each country in South America.

We have been given that a political gathering in South America was attended by 8,475 people.

Each of South America's 12 countries and 3 territories were equally represented.

The number of representatives attended from each country is the ratio of the total number of people in the gathering to the total number of countries.

The number of representatives :

⇒ total number of people in the gathering /  total number of countries

The number of representatives = 8,475 / 12

The number of representatives = 706.25 ≈ 707

Hence, there were 707 representatives who attended political gatherings from each country.

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Answer:

1 < x  ≤4

Step-by-step explanation:

3 < 2x + 1 ≤9

Solve for x

Subtract 1 from all sides

3-1 < 2x + 1-1 ≤9-1

2 < 2x  ≤8

Divide by 2

2/2 < 2x/2  ≤8/2

1 < x  ≤4

The two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

In the above question, A cubic polynomial is given as follows

P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4

K = -1

We need to find the, linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial

So, we got that ( x +1 ) is a one linear factor of P(x). As the highest degree of the polynomial is 3 so there will be three zeroes of the given polynomial. Therefore, We need to find others two

If we divide P(x) = [tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 7x - 4 by ( x + 1 ) by long division method we'll get, [tex]x^{2}[/tex] -3x - 4

Now we'll solve the quotient by squaring method, to get the other two

Let's say h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -3x - 4

h(x) =  [tex]x^{2}[/tex] -( 4 -1) x - 4

h(x) =  [tex]x^{2}[/tex] -4x + x - 4

h(x) =  x( x-4) + 1( x -4 )

h(x) =  (x+1)(x-4)

Therefore, the two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

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The sequence of transformations needed to transform the parent function f(x) into the linear function g(x) = 6 - 2x is given as follows:

A linear function is defined according to the following rule:

y = mx + b.

In which:

From the stated graph, we have that when x = 0 and y = 6, and when x increases by 1, y decays by 2, hence the function is defined as follows:

y = -2x + 6.

The parent function is:

f(x) = x.

Then, to generate the transformed function, we have that:

Using these three bullet points, the correct options were chosen.

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Answer:

Your welcome

Step-by-step explanation:

Answer:

x-9<4

a number=x

difference = -

9=9

x-9

fewer than - < 4

x-9<4

Explanation:

To find the equation with the form y = mx + b, we can use the following equation:

Where m is the slope and it is ca