If the same number is subtracted from both the numerator and the denominator of 9/11, the result is 1/2. Find the number. What would the equation be?

The value of x is 1.75 and y is 5. The solution is obtained using properties of congruent triangles.

What is a congruent triangle?

Two triangles that are congruent will have precisely the same three sides and three angles.

The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.

The triangles are congruent by SAS congruency because

AC = CD (Given)

∠ACB = ∠DCE ( Vertically opposite angles)

BC = CE  (Given)

Thus, Triangle ABC ≅ Triangle DEC

Since, the triangles are congruent, therefore

⇒AC = CD

⇒4y-6 = 2x+6   ...(1)

Also, BC = CE

⇒3y+1 = 4x

⇒(3y+1)/4 = x    ...(2)

Now, substituting the value of x in (1), we get,

⇒4y-6 = 2(3y+1)/4+(6)

⇒4y-6 = (6y+2 +24)/4

⇒16y-24 = 6y+2 +24

⇒10y = 50

⇒y = 5

Now putting the value of y in (2), we get

⇒(3(2)+1)/4 = x

⇒7/4 = x

⇒ x = 1.75

Hence, the value of x is 1.75 and y is 5.

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Answer:5

Step-by-step explanation:

5098

Answer:

PLS ANSWER MY QUESTION I NEED HELP PLS.

Step-by-step explanation:

help pls

Answer: $150

Step-by-step explanation:

$3,000 x 5% = 150

Answer:

c. x/7

Step-by-step explanation:

seven is dividing something, and X is the placeholder in this equation.

So, since x is being divided by seven, that rules out B., because that's backwards.

A. and D. don't involve division, so they're both incorrect as well.

Thus we are left with C. x/7

Answer:

12/15

Step-by-step explanation:

3x5=15

4x3=12

15-12=3

Therefore the answer is 12 over 15

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

5x-5x+8=2

Step-by-step explanation:

substitute y with -5+8

Answer:

Volume of the prism =  280 ft^3

Step-by-step explanation:

Recall that the volume of a prism is given by the  following formula:

Volume = B * H

where B is the area of the base (in our case a right angle triangle), and H is the prism's height (in our case 16 ft)

Then we estimate the area of the triangle at the base as base* height/2 :

Area triangle = 5 * 7 / 2 = 35/2 ft^2

and multiply by the prism's height to get its volume:

Volume = 35/2 * 16 = 280 ft^3

Answer:

Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10

Step-by-step explanation:

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Translation is the movement of a point up, down, left or right.

Transformation is the movement of a point from its initial location to a new location.

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Therefore the coordinates remains same as previous figure.

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Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.​

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given that;

Percentage = ( Part / Whole ) × 100%

Percentage = ( 455ft² / 2100ft² ) × 100%

Percentage = 0.21666 × 100%

Percentage = 21.67%

Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.​

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Answer:

-3

Step-by-step explanation:

Let the number be x

2 + 9x= - 25

9x= - 27

x= - 3

None of the chosen pairs will be dependent as nothing is specified.

Independent events are those events whose occurrence does not have any effect on the events that may occur or occurred.

Dependent events are those vents whose occurrence either depends on some other event or has an effect on occurring or occurred vents.

Given, The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.

As not mentioned that what kind of book he chooses first or types of book.

Also which shelf he chooses first choosing the first book is independent

and choosing the second book is also independent so none of the chosen pair will be dependent.

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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The aforementioned equations have the following solutions: x = 0, x = 3. And the right response is B) x = 0, x = 3.

Replace the equation's variable with the given integer. The expressions on both sides of the issue should ideally be made simpler. Check the accuracy of the derived equation.

We must rearrange the terms to obtain a quadratic equation in standard form in order to solve the problem x2 - 2x = x:

x² - 2x - x = 0

x² - 3x = 0

Now we can factor out x:

x(x - 3) = 0

When x = 0 or x - 3 = 0, the equation is true. Hence, the equation's answers are x² - 2x = x are x = 0 and x = 3.

We can enter these answers into the initial equation and determine whether they satisfy it to verify that they work:

f(0) = 0² - 2(0) = 0

g(0) = 0

So, x = 0 is a solution.

f(3) = 3² - 2(3) = 3

g(3) = 3

So, x = 3 is also a solution.

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Question:

Given the function f(x) = x² - 2x and g(x) = x what is the solution for the equation x² - 2x = x?

A) X= 1, x = 3

B) x = 0, x = 3

C) x=-1,x=0

D) x = 0, x = 1

The correct interpretation is Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Q(x) = 8.25x − 24.75, where x is the number of bracelets he sells.

So, for x= 3 them Q(3)

Q(3)= 8.25 (3) - 24.75

Q(3) = 24.75 - 24.75

Q(3) = 0

Hence, Q(3) = 0; If Quincy sells 3 bracelets, he will earn $0.

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The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer:

(-3,1)

Step-by-step explanation:

Hope this helps:)

9514 1404 393

Answer:

  (-3 1)

Step-by-step explanation:

The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:

  x = (-2 +(-4))/2 = -6/2 = -3

The y-coordinate of the vertex is the function value at that x-coordinate:

  y = -(-3+2)(-3+4) = -(-1)(1) = 1

The coordinates of the vertex of the graph are (-3, 1).

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Levant will receive exchanges 100 pesos for 9 dollars .

It is given that Levant traded 270 dollars for 3,000 Mexican pesos.

Using unitary method , we get

3000 Mexican pesos have = 270 American dollars

1 Mexican pesos will have = \(\frac{270}{3000}\)  

                                             \(=0.09\) American dollars

100 Mexican pesos will have \(=0.09\times100\)

                                                  \(=9\) American dollars

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Answer:

A square is a rectangle but a rectangle is not a square. A square consists of  four sides of equal lengths. A rectangle has two sides shorter than the two other sides.

Answer:

9.42 in²

Step-by-step explanation:

The area of whole circle S=pi*R²    , where pi is appr. 3.14,  R= 6 in

S= 3.14*6² =113.04 in²

The area of smaller sector is Ssec=S/360*30=113,04/12=9.42 in²

The area of the smaller sector with a central angle of 30 degrees and a radius of 6 inches is 9.42478 square inches.

To find the area of a sector, you can use the formula:

Area of sector = (θ/360) × π × r²

where θ is the central angle in degrees, r is the radius of the sector.

The central angle is 30 degrees and the radius is 6 inches.

Plugging these values into the formula:

Area of sector = (30/360) × π × 6²

= (1/12) × π × 36

= (1/12) × 3.14159 × 36

= 9.42478 square inches

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The event that has a probability other than one-half is choosing a red card from a standard deck of 52 cards, as it has a probability of 26/52 or 1/2. The other events have two, five, and three equally likely outcomes with probabilities of 1/2, 1/5, and 1/3, respectively.

The event that has a probability other than one-half among the given options is choosing a red card from a standard deck of cards.

The probability of choosing a red card from a standard deck of 52 cards is 26/52, which simplifies to 1/2.

The other events have an equal probability of occurring because they are all equally likely outcomes.

Flipping a coin has two possible outcomes, and each outcome has a probability of 1/2.

Choosing a vowel from a bag of tiles that contains one of each letter of the alphabet has five possible outcomes, and each outcome has a probability of 1/5.

Rolling an even number on a number cube that is numbered from 1 to 6 has three possible outcomes (2, 4, or 6), and each outcome has a probability of 1/3.

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Answer:

0.93

Step-by-step explanation:

3/5 is 0.6

2/6 is 0.33 (repeating)

Adding those two would be 0.93 or 93/100.

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35