Consider the following word problem: Eleven more than four times a number is equal to the difference between - 21 and four times the number. Find the number.

givenAnalyzing the information given in the exercise, you can identify that you can use the following Work rate formula:

Where:

- The individual time for object A is:

- The individual time for object B is:

- And the time for object A and object B is:

In this case, let be the time (in hours) the experienced window washer can wash all the windows in Mike's house:

And let be the time (in hours) the new trainee can wash all the windows:

Knowing these values, you can substitute them into the formula and solve for "t":

Dividing the numerator by the denominator, you get:

This time is in hours, but you have to express the answer in hours and minutes. So you need to remember that:

So, in order to convert from hours in Decimal form to hours and minutes, you need to:

- Rewrite the time as follows:

- Convert the Decimal number from hours to minutes:

- Since there are 60 seconds in 1 minute:

Then:

Therefore, rounded to the nearest minute, you get that the answer is:

Answer: rectangular prism, triangular prism, 6

Step-by-step explanation:

The area of base of the triangular prism can be calculated by the half of the product of the height of the triangular base of prism and base of prism.

The area of base of the rectangular prism can be calculated by the product of the length of the rectangular base of prism and the breadth of prism.

The area of the bottom section of the second floor = 2( area of the front part of the wall + area of the side of the wall)

= 2( 20*h + 25*h)

=90h

The front and back of top section of second floor = 2* area of the front wall=2*(1/2*20*(h+4))=20h+80

Total area of the second floor=total area of the window+total area to be painted

⇒Total area of the second floor= 728 + (2* area of the window)

⇒Total area of the second floor= 728 + (2*3*2)

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 728+12

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 740

⇒(20h+80)+90h=740

⇒110h+80=740

⇒110h=740-80

⇒110h=660

⇒h=660/110

⇒h=6 feet

Therefore the value of h is 6 feet.

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The algebraic expression ''21 over the square root of 4'' is a Rational number.

What is square root of a number?

The square root of a number is a value that multiplied by itself gives the same number.

Given that;

The algebraic expression is;

⇒ ''21 over the square root of 4''.

Now,

Since, The algebraic expression is;

⇒ ''21 over the square root of 4''.

It can be written as;

⇒ 21 / √4

⇒ 21 / 2

Since, The number 21 / 2 is of the form p / q where, 2 ≠ 0.

Hence, The number 21 / 2 is a Rational number.

Therefore,

The algebraic expression ''21 over the square root of 4'' is a Rational number.

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The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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We are given the attached graph. From the graph, we will calculate the slope of the lines as shown below:

Blue Line

The slope of the blue line is: 1/2

We test for perpendicularity using the slopes. For perpendicular lines, the product of their slopes is -1. We thus calculate the slope of the green line:

For a line perpendicular to the blue line, its slope will be: -2

A graph of a line perpendicular to the blue line is shown below:

Answer:

50

Step-by-step explanation:

Let the event of people who believe that fuchsia is pink = A

Let the event of people who believe that fuchsia is purply = B

We want to determine the number of those who believe that fuchsia is ``purply'', n(B).

In set theory, we have:

\(U=n(A)+n(B)-n(A\cap B)+n(A \cup B)'\\100=60+n(B)-27+17\\100=50+n(B)\\n(B)=100-50\\n(B)=50\)

Therefore, the number of those who believe that fuchsia is ``purply'' is 50.

the specific problem you're trying to solve, such as the type of geometric shape, any given angles, or other measurements. Please provide these details so that I can assist you accurately.

To give you an idea of the process, here are the general steps to find the measure of an arc or angle in different types of geometric shapes:

1. Identify the shape and its properties: Determine whether the shape is a circle, triangle, quadrilateral, or another type of polygon.

2. Use the properties of the shape: For circles, use properties of arcs, central angles, and inscribed angles. For triangles, use angle sum properties or angle relationships. For quadrilaterals, use properties like angle sums, parallel lines, or diagonals.

3. Apply relevant formulas: Depending on the shape and given information, apply appropriate formulas such as the arc length formula, the circle's circumference, or triangle angle sum theorem.

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Answer:

7 because of it invalidity

Answer:

3) 8

4) 5.25 cups

Step-by-step explanation:

3) cross multiply:

36 × 10 = 360

45 × x = 45x

equate them both:

360 = 45x

divide both sides by 45

360 ÷ 45 = 8

x = 8

4) 8 people : 3 cups of flour

14 people : how many cups?

14 ÷ 8 = 1.75

to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:

3 × 1.75 = 5.25 cups

Answer:

3a + 2

 ——————

   12  

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

-72/80 = -36/40 = -18/20 = -9/10

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Answer:

C.

Step-by-step explanation:

Point lines A and B are pointed in the same each direction.

Point line straight C and G.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

B and C

Step-by-step explanation:

Both do not intersect AB and are not parralel to AB.

Answer:

c = -6

Step-by-step explanation:

C is your variable

-2c - 2 = -3c - 8

+3c              +2

1c = c       -8 +2 = -6

c = -6

:)

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

Answer:

Step-by-step explanation:

(a). A = 5x( 7x - 2 ) - 3x( 2x + 4 )

(b). A = 35x² - 10x - 6x² - 12x = 29x² - 22x

A = 29x² - 22x

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

19

Step-by-step explanation:

Notice that these two triangles are comprised of the same two lines. Because of this we can assume that \(39 = (2x+1)\)

We can proceed from here.

The parentheses are unnecessary on the right side of the equation because there is nothing else on that side. Lets remove them

\(39=2x+1\)

Now remember that we must do OPPOSITES. do the opposite on both sides. For example lets get rid of the 1. The opposite of 1 is negative 1. So subtract 1 from both sides. We get

\(38=2x\)

now we are making progress.....

the opposite of 2 times x is 2 divided by x. Lets divide 2 from both sides.

\(19=x\)

SUCCESS!

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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Answer:

Cry about it wah wah wahhhhhhhh

Step-by-step explanation:

1) To find the scale factor for these triangles, we need to write a pair of ratios and then solve for x:

Now, we can plug x=8 into those:

Answer:

Step-by-step explanation:

yes

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24