Find the sum of the product (x-2) (2x+3) using any method

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

1. Smallest integer value of x: 2

2. largest integer value of y: 8

3. greatest possible value of x-y: 12

4. smallest possible value of x-y: 1

5. greatest possible value of x/y: 8

Step-by-step explanation:

Inequalities are

3 < x ≤ 8

- 4 ≤ y ≤ 1

1. Since 3 < x which is the same as saying x > 3 , x cannot be 3 but any real number above 3. The next lower integer is 2. So 2 is the smallest integer value of x

2. The largest integer value of x is 8 which is determined by the ≤ signe. This means that x is less than or equal to 3

3. To find the greatest possible value of x - y, take the largest value of x and subtract the smallest value of y. Smallest value of y = -4. So the answer is 8 - (-4) = 8 + 4 = 12

4. Smallest possible value of x - y = smallest x value - largest y value = 2 - 1 = 1. This is only if we are considering integer values which is what I presume the question implies

5. greatest possible value of x/y. This is tricky because the smallest y is negative. So we have to find largest x/y at the interval edges and see which one is the largest
8/-4 = -2 and 8/1 = 8
So largest x/y value is 8

Notice that angle BCD is a central angle, therefore, the measure of its arc will be the same as the measure of the angle, therefore, the measure of the minor arc BD is 48 degrees

Answer:

330 milkshakes

Step-by-step explanation:

240 divided by 8 = 90

90 = number of large milkshakes

240 + 90 = 330

Answer:

Step-by-step explanation:

Question 1:

$27,000 | $10,800 | $40,500

$27,000 | $43,200 | $13,500

Question 2:

$54,000 | $54,000 | $54,000

$54,000 | $70,200 | $40,500

$54,000 | $37,800 | $67,500

Question 3:

$40,500|$54,000|$29,250

Charlotte is the first chooser, she will pick part C.

Tara will pick next. She will pick part B*

Dakota is the last chooser. She will pick the part A, is the remaining one.

The trimming was divided by CHARLOTTE.

Table of pieces D,E,F.

$3,500 | $3,200 | $3,750

$2,500 | $1,000 | $3,750

$7,500 | $12,000 | 3,750

Now Dakota will be the first one choosing, she will pick piece F

Tara will be second chooser, she will pick piece D.

Charlotte will pick piece E.

At the end, Dakota gets 1 bag of sapphire , 1(5/18) bag of emerald

Tara gets (1/3+2/27)11/27 of sapphire and (7/6+1/18) 11/9 emerald.

Charlotte gets (1.5+5/54) 43/27 of sapphire and (0.5) emerald.

Answer:

v = c - 78930 + 57y - 6

Step-by-step explanation:

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

Answer:

by measuring in feet

Step-by-step explanation:

its the easiest way to find what your looking for

Answer:

You can find the length of an unknown leg using the Pythagorean theorem

Step-by-step explanation:

\(a^2+b^2=c^2\)

or

\(c^2-a^2=b^2\)

or

\(c^2-b^2=a^2\)

note c = hypotenuse and b and a = legs

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

Answer:

p = 10

Step-by-step explanation:

20 x 50 = 100p

1000/100 = 100p/100

10 = p

Answer:

-1

To find:

k

Step-by-step explanation:

1 - 8k = 10 + k

-8k-k=10-1

-9k=9

k=9/-9

k=-1

hope u understood!

Answer:

Step-by-step explanation:

what is the amount for family c

Answer:

Step-by-step explanation:

where is the picture

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The equation for Beth is: 9x + 10y = 297, that is, option B.

The equation for Sarah is: 8x + 5y = 194, that is, option A.

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

In the question, we are asked to identify the equations that represent the boxes of candy Beth and Sarah are selling, using x for the number of small boxes of candy and y for the number of large boxes of candy, from the given information.

For Beth:

We are informed that Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297.

As x is used for the number of small boxes of candy, we get a term 9x for the selling of 9 small boxes, and as y is used for the number of large boxes of candy, we get a term 10y for the  selling of 10 large boxes of candy.

The addition of these terms needs to make up 297, as the total selling amount is 297.

Thus, the equation for Beth is: 9x + 10y = 297, that is, option B.

For Sarah:

We are informed that Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.

As x is used for the number of small boxes of candy, we get a term 8x for the selling of 8 small boxes, and as y is used for the number of large boxes of candy, we get a term 5y for the  selling of 5 large boxes of candy.

The addition of these terms needs to make up 194, as the total selling amount is 194.

Thus, the equation for Sarah is: 8x + 5y = 194, that is, option A.

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Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x²  - 3x − 5

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

-4x² + 2x − 5 (1+x)

Open the brackets

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x

Collect the like tsrms

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x  - 5x − 5

Evaluate the like terms

This gives

-4x² + 2x − 5 (1+x) = -4x²  - 3x − 5

Hence, the expression that is equivalent to the given expression is -4x²  - 3x − 5

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Step-by-step explanation:

Here's how you can use partial fraction decomposition to write (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) as the sum of simpler terms:

Factor the denominator to simplify the expression: x^2 + x - 2 = (x - 1)(x + 2)

Write the partial fraction decomposition of the integrand as the sum of simpler terms: (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) = A/(x - 1) + B/(x + 2) + Cx + D, where A, B, C, and D are constants.

Multiply both sides of the equation by (x^2 + x - 2) to find the values of A, B, C, and D: x^3 + 2x^2 + 3x + 4 = A(x + 2) + B(x - 1) + (Cx + D)(x^2 + x - 2)

Substitute x = 1 and x = -2 into the equation to find two equations for A, B, C, and D:

x = 1: 4 + 2 + 3 + 4 = 9 = A(-2) + B + (C + D)(-1)

x = -2: -8 - 4 + 6 - 8 = -16 = A(1) + B(-2) + (C - 2D)(4)

Solve the system of equations to find the values of A, B, C, and D:

A = 9/3, B = 5, C = -11/3, D = 7/3

So the partial fraction decomposition of (x^3 + 2x^2 + 3x + 4)/(x^2 + x - 2) is (9/3)/(x - 1) + (5)/(x + 2) - (11/3)x + (7/3).

Answer:

500 grams

Step-by-step explanation:

2.5 kg = 5 loaves

1 loaf = 2.5/5 = 0.5 kg

0.5 kg = 500 grams

Answer:

T1(n) = 25n +119.50  where n belongs to \(1 \leq n <50\).

T2(n) = 20n + 59 where n belongs to \(50\leq n\).

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50  

Let the total cost of the restaurant be T

Cost for this case will be T1  

T1(n) = 25n +119.50  where n belongs to \(1 \leq n <50\)

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to \(50\leq n\).

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.  

Answer:

Los números naturales incluyen solo enteros positivos y comienzan desde 1 hasta infinito

Answer:

Sidney played 5 games and rode 8 rides.

Step-by-step explanation:

Since Sydney is going to a carnival that has games and rides, and each game costs $ 1.25 and each ride costs $ 2.25. Sydney spent $ 24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played, to determine the number of games Sydney played and the number of rides Sydney went on the following calculation must be performed:

5 x 2.25 + 2 x 1.25 = 11.25 + 2.50 = 13.75

6 x 2.25 + 3 x 1.25 = 13.50 + 3.75 = 17.25

7 x 2.25 + 4 x 1.25 = 15.75 + 5 = 20.75

8 x 2.25 + 5 x 1.25 = 18 + 6.25 = 24.25

Therefore, Sidney played 5 games and rode 8 rides.

Answer:

Syndey played 5 games and rode 8 rides

Step-by-step explanation:

It's correct.

The correct answer is "not enough information to prove any parallel lines."

If two lines in a two-dimensional plane are parallel, then the corresponding angles formed by a transversal (a line that intersects both lines) are congruent (i.e., they have the same measure).

Additionally, the alternate interior angles (angles that are on opposite sides of the transversal and inside the pair of parallel lines), as well as the corresponding angles (angles that are in the same position relative to the transversal on the two parallel lines), are also congruent.

In the given diagram, line k is parallel to m, while line a is also parallel to line b but forming a transverse line to line k and line m. Also line k and line m form a transverse line to lines a and b.

So we can conclude that not enough information to prove any parallel lines.

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The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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The probability that a randomly selected female is taller than 67 inches is 0.8133, or approximately 81%.

To calculate this probability, we need to standardize the height of 67 inches using the formula:

z = (x - mu) / sigma

where x is the height we're interested in, mu is the mean, and sigma is the standard deviation.

z = (67 - 64.5) / 2.8 = 0.8929.

Then, we can look up the area to the right of z = 0.8929 in the standard normal distribution table, which is 0.1867.

Finally, we subtract this value from 1 to get the probability that a randomly selected female is taller than 67 inches:

P(X > 67) = 1 - 0.1867

P(X > 67) = 0.8133

So, the probability that a randomly selected female is taller than 67 inches is 0.8133, or approximately 81%.

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Given AD║CB

AE = CE

AED ≈CEB

Side Angle Side

Side AE

Side and Angle are equal to CE same angle same side.

Using that we can prove all angles are in fact congruent.

First three boxes are Side Angle Side

Brand B contains 3% saline solution by volume. Then, C is the right answer.

Percentage of saline solution in brand B, let x be.

We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.

Then the equation is given as,

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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