A hotel is offering two weekend specials. The first special is 3 nights and 4 meals for $233. The second
special is 3 nights and 3 meals for $226.50.
Part A: Write a system of equations to represent cost per night x and cost per meal y.
Part B: What is the cost per night and the cost per meal?

No, you cannot form a triangle with side lengths 8, 9, and 17. The sum of any two sides of a triangle must be larger than the remaining side. 8 + 9 = 17, which is not larger than 17.

1. A triangle is a three sided polygon with three angles and three sides.

2. In order to form a triangle, the sum of any two sides of the triangle must be larger than the remaining side.

3. To test if a triangle can be formed with side lengths 8, 9, and 17, we need to add two of the sides together and see if the result is larger than the remaining side.

4. 8 + 9 = 17, which is not larger than 17, so a triangle cannot be formed with side lengths 8, 9, and 17.

5. Therefore, you cannot form a triangle with side lengths 8, 9, and 17.

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Answer: b

Step-by-step explanation:

4-3

——-

13.40- 10.05

= 1/3.35

=b

The midpoint of the x-intercepts of f(x) = (x - 2)(x - 4) is (3, 0).

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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2x2+4x5=0 is a quadratic equation that can be solved. 2 x 2 + 4 x - 5 = 0. To find the answers, start with the quadratic formula.

Using the quadratic formula, determine the roots of the quadratic equations 2x2-3x-5= 0. The equation's roots must be located. As a result, the equation's roots are 5/2 and -1. Which equation with 2 as a root must be identified. As a result, 2 is not a root of x2-4x + 5= 0.

Since 2 is not a root, x2 + 3x-12= 0 cannot be solved. Thus, 2 is the root of the equation 2x2-7x + 6= 0. The roots of the quadratic equation ax2 + bx + c= 0 are real and equivalent if the discriminant is equal to zero (b2-4ac=0), a, b, and c are real values, and a0. The roots in this situation arex= -b/2a.

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Let x= the co-efficient of x^2. So the co-efficient of given function is x=1.

Define co-efficient.

The term "coefficient" refers to a number or symbol that multiplies another number or symbol (used as a mathematical variable).

Write an example of co-efficient.

An amount multiplied by a variable is known as a coefficient. As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.

Let x= the co-efficient of x^2 So the co-efficient of given function is x=1.

The term multiplied with x^3 is the co-efficient of this expression. As there is not term with x^2 so it is 1.

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If the value of y = 0, then it make the straight line on the graph.

The term graph in math is defined as the way that is used to represent a set of data to make it easier to understand and interpret statistical information.

Here we have the expression y = 0.

And here we know that the y coordinate is constant which is 0 for given equation and only x coordinate is variable.

Therefore it represent the x-axis.

Therefore, basically y=0 is the linear equation to denote the x - axis, here as all the points on the x- axis, then we have their y co-ordinate = 0.

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Using the normal distribution, we have that diameters at the 0.34th percentile are 0.2 standard deviations, that is, 0.127 inches above the mean.

Probability is the likelihood that a particular experiment result will appear a certain number of times. It cannot be less than zero or greater than one. A 100% chance of an outcome occurring exists if the outcome is 1, for example. If the result is greater than 1, there is a greater chance that it will occur.

In a normal distribution with mean  and standard deviation , the z-score of a measure X is given by:

It measures how many standard deviations the measure X is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

34th percentile is X when Z has a p-value of 0.34, so X when Z = 0.6331.

It means that the diameter is 0.44 standard deviations = 0.6331x0.2 = 0.127 inches above the mean.

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Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 3 times of the time, increased.

Given,

A snail is moving away from a rock.

The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes.

The number '3' is constant term, which basically represents the the distance covered by the snail, in terms of time or, the rate of increment of distance is terms of time.

Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 1/3 of the time, increased.

For example if the snail is moving for 1 unit time, the t will be considered as 1. so, the d will be 3*1 = 3, i.e. 3 unit distance will be covered by the snail in 1 unit time.

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The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.

there are three types of triangle similarity criteria known. those are

Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.

the ratio of two sides of given triangles

4/8 and 5/10

hence, the ratio of both the side is equal that is 1/2

from the SAS theorem:

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

thus, given triangles are similar.

Since the Ratio of all three sides would be equal.

hence, HI / KL = 1/2

the third side of the triangle JKL, KL is 14.

Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.

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The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.

To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.

To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.

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Answer:

Step-by-step explanation:

(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]

Answer:

-5

Step-by-step explanation:

Let n = an integer

Let (n+2) = the next consecutive odd integer

n + 7( n + 2) = -26  Distribute the 7

n + 7n + 7(2) = -26

n + 7n + 14 = -26  Combine like terms

8n +14 = -26  Subtract 14 from both sides

8n + 14 - 14 = -26 -14

8n = -40  Divide both sides by 8

n = -5

The next consecutive odd integer would be -3

Consecutive just means the next number.

Answer: 80 degrees

Step-by-step explanation:

Answer:

the remaining angle of triangle is 80° by the sum of triangle is 180.

The first left turn, the value of d will be -1i, indicating that the robot is now facing north.

Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.

The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.

The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.

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Answer:t=-12

and if want step by step just look the equation up on the internet and it will be there step by step

The volume of a cone is one-third of the product of the area of the base times the height, i.e. Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.

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If Cherri brought $2100 computer on an installment plan and made $400 down payment and monthly payment for $79. 50 for the next two years, then the interest amount is $208 .

the cost of the computer is = $2100 ;

the amount paid as down payment is = $400 ;

the amount that will be paid in monthly installment is = $79.50 ;

the time for the loan is = 24 months ;

So , the amount paid as installment is 24 months is = [tex]24 \times79.50[/tex]

= $1908 .

So , the total amount paid by Cherri with installment plan is = [tex]\$1908+\$400[/tex]

= $2308 .

So , the interest amount paid is = [tex]\$2308-\$2100[/tex]

= $208 .

Therefore , Cherri will pay $208 as interest .

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r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.

r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)

The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.

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Answer:

1. 99/104

2. 4/3

3. 6/5

4. 52/25

5. 57/58

6. 33/100

7. 1/2

8. 8/5

9. 4

10. 4/3

hope this helps any

The diameter of the circle is 30 feet

To compute the diameter of the circle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is the diameter of the circle, and the other two sides are the radius and the distance between the chord and the center of the circle.

So, we can write the equation:

diameter^2 = radius^2 + (distance between chord and center)^2

We know the radius is half the diameter, so we can substitute that in:

diameter^2 = (diameter/2)^2 + (15)^2

And we can solve for the diameter:

diameter^2 = diameter^2/4 + 225

diameter^2 = diameter^2/4 + 225

4diameter^2 = diameter^2 + 900

3diameter^2 = 900

diameter^2 = 900/3

diameter = sqrt(900/3)

So the diameter of the circle is 30 feet.

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The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

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Answer:

Step-by-step explanation:

The total cost of the items before tax was $1.50 * 4 = $<<1.54=6>>6.

The sales tax was $6 * 8.25% = $<<68.25*.01=0.495>>0.495.

So the total price was $6 + $0.495 = $<<6+0.495=6.495>>6.495.

Jacks meeting lasted for 160 min or 2 hrs 40 min.

Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

Given is that jacks meeting stared at 2:45 pm and ended at 5:25 pm.

The time for which the meeting lasted can be written as -

{i} = 2:45 pm

{i + 60 minutes} = 3:45 pm

{i + (2 x 60) minutes} = 4:45 pm

{i + (2 x 60 + 40) minutes} = 5:25 pm

{f} = 5 : 25 pm

The meeting lasted for -

2 x 60 + 40

160 minutes

or

2 hours 40 minutes

Therefore, Jacks meeting lasted for 160 min or 2 hrs 40 min.

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Answer: 6

Step-by-step explanation:

y = -3x + 6 is the linear equation of the form y = mx + c

where m is the gradient of the graph and c is the y-intercept of the graph.

Hence,

m = -3

c = 6

y-intercept of the graph = c

                                        = 6

Assuming the bags are filled at a constant rate, the average time it takes to fill one bag of leaves is 5 minutes.

To calculate the average time it takes to fill one bag of leaves, we need to know the total amount of time spent filling bags and divide that by the number of bags filled.

First, we know that the staff works an average of six hours per day. Since mowing and raking typically take four hours, we can assume that the remaining two hours are spent filling bags.

To find out how long it takes to fill one bag, we divide the total time spent filling bags by the number of bags filled. In this case, it would be:

(2 hours) / (24 bags) = 0.083 hours (or 5 minutes)

So the average time it takes to fill one bag of leaves is 5 minutes.

It's important to note that this is an average time and may not reflect the exact time it takes for each bag to be filled. Factors such as the size of the bag, the type of leaves being filled, and the skill level of the staff could all affect the time it takes to fill a bag.

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A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Therefore, the customer pay for the purchase before sales tax is $22.

Sales tax:

A sales tax is a tax paid to a governing body on the sale of certain goods and services. Laws generally allow sellers to collect taxes from consumers at the time of purchase. When a tax on goods or services is paid by consumers directly to the governing body, it is usually called a use tax. Laws often provide excise and use tax exemptions for certain goods or services, such as: food, education, medicine, etc. Value Added Tax (VAT) charged on goods and services is related to sales tax.

For Example:

I am shopping at The Clothing Boutique and would like to estimate the total after tax before checking out. After counting the total price of the items in the cart, the total is $100. Sales tax in this county is 9.5%, so you charge 9.5% (100 x 0.095) of $100.

According to the question:

The purchase before sales tax:

                   = 1/4 × $5.99 + 1 1/2 × $4.99 + 1 × $6.99 + 3/4 ×2.99

                   = $1.5 + $7.5 + $6.99 + $5.24

                   = $21.23 ≈ $22

Therefore,  the customer pay for the purchase before sales tax is $22.

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Answer:

F and C

Step-by-step explanation:

CUZ AAS means angle angle side

Answer:

see explanation

Step-by-step explanation:

for the triangles to be congruent by the angle- side- angle (ASA postulate )

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle ( included side is the side between the vertices of the two angles ) , then the triangles are congruent.

given

∠ B ≡ ∠ D and AB ≡ PD

then the included sides are AB and PD

the other 2 angles for congruency are ∠ A ≡ ∠ P

-----------------------------------------------------

By the AAS postulate

If two angles and a non included side of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent

for AAS then ∠ C ≡ ∠ F

Answer:

-4 + 6x.

Step-by-step explanation:

8 - 3(4 - 2x)

= 8 - 12 + 6x

= -4 + 6x.

The correct answer is 6x - 4

Simplify :

8 - 3(4 - 2x)

8 - (12 - 6x)               (using BODMAS rule)

8 - 12 - (-6x)            

( 8 -12) + 6x        

-4 + 6x

= 6x - 4

Step-by-step explanation:

EC = 165 cm (Given) Tangent of circle also makes 90°.

a) sind = Perpendicular Hypotenuse = CD = EC 165 => 0 = Sin = 0.519 ~ 0.52 =29.7448 ~ 29.75° =<E

By angle sum property of triangle. <D+<E+ <C = 180°

90° + 29.75 + LC = 180°

<C = 180-90-29.75 = 60.25° <C= 60.25°

<DCE = <C = 60.25 x π/180 = 1.052 radians.

(b) Area of triangle DCE = 1/2 x b x h = 1/2 x ED X 4

ED² + CD² = EC² ED² + 4² = (√65)² => EC² = 65-16 = 49 ED=7

Area = 1/2 x 7 x 4 = 14 cm²

Area of sector a π x 4²x 60.25/360 = 8.4125 cm2

Area of shaded region= Area ADCE Area of sector -

= 14-8.4125 = 5.5875 cm²

(a) <DCE = 1.052 radians b) Area shaded of region = 5.5875cm²