Slingerland Ski Resort offers two Winter Specials. The "Get-Away" and the "Extended-Stay."

Slingerland Ski Resort claims that "Extended-Stay" is a better deal than the "Get-Away." The Get-Away Special

offers two nights of lodging and four meals for $270. The Extended-Stay Special offers three nights of lodging and

eight meals for $435.

Write an equation in Standard Form that represents the Get-Away Special. Let n represent the cost for a night of

lodging and let m represent the cost for a meal.

Answer:

4a+6

Step-by-step explanation:

To find the answer to this problem, you need to combine the like terms. (3a+7)+(a-1)=(3a+a)+(7-1)=4a+6. Hope this helps!

The of the given expression is 4a+6.

An algebraic expression is formed by using integers, constants, variables, and arithmetic operations. Variables and constants can be combined in an algebraic expression through mathematical operations.

Given that, an expression (3a+7)+(a−1), we need to find sum,

So,

(3a+7)+(a−1)

Opening the brackets,

3a+7+a-1

Combining the like terms,

3a+a+7-1

= 4a+6

Hence, the of the given expression is 4a+6.

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Answer: 7

Step-by-step explanation:

The question pertains to finding the x value for a given output on a graph of a function. The x value corresponds to the point where the y value is 4 on the graph.

The subject matter in this question pertains to the interpretation of a graphical representation of a function, specifically determining the input, or x value, for a given output, y value (f(x) = 4) in this case. Without the actual graph, it's impossible to definitively identify the correct x value. However, the process involves locating the point on the graph where the y-value is 4 and then identifying the corresponding x value.

For example, if the graph is a line that passes through the point (0,4), then x would equal 0. If the graph passes through the point (4,4), then x could equal 4. Similarly, if the line goes through (5,4) or (7,4), then x could equal 5 or 7 respectively.

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Answer:

81

Step-by-step explanation:

9*7 = 63

6*3 = 18

63 + 18 = 81

Answer:

-0.75968791285

Step-by-step explanation:

To find cos(-15°), we recognize that cosine is an even function, so cos(-15°) = cos(15°). Utilizing the cosine angle subtraction formula and known cosine and sine values, we find that cos(15°) = (√6 + √2) / 4, thus cos(-15°) = (√6 + √2) / 4.

Finding Cosine of -15 Degrees:

To find cos(-15°), we can use the cosine angle addition formula. This is particularly useful as we can break down -15° into simpler angles:

cos(-15°) = cos(15°) because cosine is an even function: cos(-θ) = cos(θ).

Next, we utilize the angle subtraction formula for cosine:

cos(15°) = cos(45° - 30°) = cos(45°)cos(30°) + sin(45°)sin(30°)

We know that:

cos(45°) = √2 / 2    

cos(30°) = √3 / 2

sin(45°) = √2 / 2

sin(30°) = 1 / 2

Substituting these values into the formula, we get:

cos(15°) = (√2 / 2) × (√3 / 2) + (√2 / 2) × (1 / 2)

Simplify the expression:

cos(15°) = (√6 / 4) + (√2 / 4)

Thus:

cos(15°) = (√6 + √2) / 4

Therefore, cos(-15°) = (√6 + √2) / 4.

Answer:

A. [tex](x+5)^2+(y-8)^2=100[/tex]

Step-by-step explanation:

1. The standard form of the equation of a circle is [tex](x-h)^{2} + (y-k)^2=r^2[/tex]

2. To find the center we require the  midpoint   of the  2 given points

center =[tex][\frac{1}{2}(-4-6),\frac{1}{2}(11+5)][/tex]

=(-5,8)

3. The radius is the distance from the centre to either of  the 2 given points calculate the radius using the  distance formula

d= [tex]\sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}[/tex]

let [tex](x_{1},y_{1})= (-5,8) \\[/tex] and [tex](x_2,y_2)=(-4,11)[/tex]

r=[tex]\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10[/tex]

--> [tex](x-(-5)^2+(y-8)^2=10^2[/tex]

--> [tex](x+5)^2+(y-8)^2=100[/tex]

Answer:

The anser is B 100% willing to put $100 on it.

Step-by-step explanation:

Answer:

135 days

Step-by-step explanation:

There are 100 numbers

There are 75 numbers greater than 25 (26-100)

P(number greater than 25) =

 = number of numbers greater than 100/ total outcomes

 = 75/100

 =3/4

There are 180 days, so multiply the number of days by the probability

3/4*180 =135

Answer:

135 of the random selections would be numbers greater than 25.

Step-by-step explanation:

Since 25 is 25% of 100, that means that 75% of the random selections would be over 25.

75% = 0.75

180*0.75 = 135

135 of the random selections would be numbers greater than 25.

Answer:

x = 70

Step-by-step explanation:

The measure arc AC is twice as angle B

The center angle that sees arc is equal to the arc it sees

<B = 2x - 65 so the measure of arc AC is 4x - 130 since this is gonna complete 3x to 360°

4x - 130 + 3x = 360°

7x = 490

x = 70

There will be 1.095kg of cashews.

Step-by-step explanation:

Peanut = 1.78kg

Almonds = 0.625kg

If the total mass of the nuts should be 3.5kg then the cashew will be,

Cashew = 3.5 - 1.78 - 0.625

= 1.095 kg

There will be 1.095kg of cashews.

Answer:

There will be 1.095kg of cashews.

Step-by-step explanation:

Peanut = 1.78kg

Almonds = 0.625kg

If the total mass of the nuts should be 3.5kg then the cashew will be,

Cashew = 3.5 - 1.78 - 0.625

= 1.095 kg

There will be 1.095kg of cashews.

Final answer:

The slope-intercept form of the equation 9x - y = 9 is y = 9x - 9, which shows a slope of 9 and a y-intercept of -9, corresponding to option b).

Explanation:

The slope-intercept form of the equation 9x - y = 9 can be found by solving for y. We want to rearrange the equation to get y by itself on one side, which allows us to see the slope and y-intercept more clearly. The standard slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

To solve for y, we perform the following steps:

Add y to both sides of the equation: 9x - y + y = 9 + y, resulting in 9x = 9 + y.

Next, we subtract 9 from both sides to get y by itself: 9x - 9 = y.

The resulting equation is y = 9x - 9, which matches option b).

This shows the slope of the line is 9 and the y-intercept is -9. The values correspond to the terms in the slope-intercept form where the coefficient of x is the slope, and the constant term is the y-intercept.

Answer:

Step-by-step explanation:

So, we know that 5000 milliliters = 5 liters right? So we have to add up the right juices in order to get 5000 milliliters.

Lemonade

4 containers.

Pineapple.

4 containers.

Grape juice.

6 containers.

Now we're gonna multiply them by their containers.

Lemonade.

250*4 = 1,000

Pineapple.

500*4 = 2,000

Grape juice.

250* 6 = 2,000

Now we add them up :)

1,000 milliliters + 2,000 milliliters + 2,000 milliliters = 5 liters.

Ps. I had this question on my test and got a good grade so ik what i'm doing.

The correct answer is: 800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.

By taking;

the volume of each juice container is 400 milliliters.

Since we know that 5000 milliliters = 5 liter

So we have to add up the right juices in order to get 5000 milliliters.

let the volume of each juice container is 400 milliliters.

Mango 2 containers=2×400=800 milliliters.

Pineapple 2 containers= 2×400=800 milliliters.

Orange juice 6 containers=6×400=2400 milliliters.

Now on adding them;

800 milliliters + 800 milliliters + 2400 milliliters = 5000 milliliters.

In equation form;

Let the volume of all containers are equal i.e 'x'

∴ 2×x+2×x+6×x=5000

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Answer:

What you want to do, the easier way for me at least is to go to Demos and get a graphing calculator. It is free and you don't need to log in. Take your equation and enter it into the calculator it will give you everything that you need to answer the question.

Step-by-step explanation:

You can use comments to ask me any questions.

Answer:

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Where I found you haha.

Simplify the radical by breaking the radicand up into a product of known factors.

Therefore the answer would be 2! Hopefully this helps.

Answer:

The volume of the cone is equal to 1000π in³  in terms of π  or  is approximately equal to 3140 in³

Step-by-step explanation:

To find the volume of a cone with a height of 30 in. and diameter of 20 in., we will follow the steps below;

First write down the formula for finding the volume of a cone

V = πr²[tex]\frac{h}{3}[/tex]

where v is the volume of the cone, r is the radius of the cone and h is the height of the cone.

From the question given, the height h of the cone is 30 in and the diameter is given to be 20 in. but radius is half of diameter, this implies that r=d/2=20/2=10 in., that is radius r = 10 in

We can proceed to inert the values into the formula

V = πr²[tex]\frac{h}{3}[/tex]

   =π×10²×[tex]\frac{30}{3}[/tex]

   =π×100×10

  =1000π

v =1000π in³  in terms of π

substituting π = 3.14

v ≈1000(3.14)

v≈3140 in³

Therefore the volume of the cone is equal to 1000π in³  in terms of π  or  is approximately equal to 3140 in³

The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.

To find the volume of a cone, the formula used is:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

Given that the diameter of the cone is 20 inches, we can find the radius by dividing the diameter by 2:

[tex]\[ r = \frac{diameter}{2} = \frac{20 \text{ in}}{2} = 10 \text{ in} \][/tex]

Now we can substitute the values of r and h into the volume formula:

[tex]\[ V = \frac{1}{3} \pi (10 \text{ in})^2 (30 \text{ in}) \][/tex]

[tex]\[ V = \frac{1}{3} \pi (100 \text{ in}^2) (30 \text{ in}) \][/tex]

[tex]\[ V = \frac{3000\pi}{3} \text{ in}^3 \][/tex]

The approximate volume of the cone is [tex]\(\frac{10000\pi}{3}\)[/tex] cubic inches.

Answer: I believe the volume is 4188.79 cm^3.

Step-by-step explanation: The equation for the volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(1000) = 4188.79 cm^3.

Answer:

Suppose that you had a right angle triangle. Note that if you take it and another copy of it (moved around a bit) the two triangles together can be placed to make a rectangle.

This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. So this is true for any right triangle.

Suppose you triangle is not a right triangle. Draw a perpendicular from the vertex opposite the longest side, to the longest side. What you have now is two right triangles which, by the above contain 360 degrees in total. But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.

Step-by-step explanation:

Answer:

The sum must be 180° for the angles to be a triangle.

The Triangle Sum Theorem states that every angle in a triangle must equal 180° in total.

m∠A +m∠B +m ∠C = 180°

The equation above can help you solve for an angle in a triangle if two measurements of the angle are given.

Answer:

12x - y

Step-by-step explanation:

The numbers in the brackets are being multiplied by -1. For this you can just use the opposite signs for the things in brackets and remove the brackets. (AKA 14x - 2x - y)

Then you can ignore the y for now, and just deal with the x's first.

14x - 2x = 12x

Since there's only 1 y, you don't need to do anything with it other than put it back in the equation.

The finished equation is 12x - y

The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.  

Step-by-step explanation:

The given is,

              Shape of garden is rectangular

              Perimeter of garden - 64 feet

              Width of the garden is 12 feet less than the length.

Step: 1

             Formula to calculate the perimeter of the rectangle,

                               [tex]P = 2(l+w)[/tex]........................(1)

            Where, l - Length of rectangle

                       w - Width of rectangle

Step: 2

           From the given data,

           Let, x = Length of the garden

                      P = 64 feet

                      w = x - 12 feet

          Equation (1) becomes,

                        64 = 2 ( x + (x - 12) )

                         [tex]\frac{64}{2}[/tex] = ( x + x - 12 )

                        32 = ( 2x - 12 )

                32 + 12 = 2x

                       44 = 2x

                         [tex]x = \frac{44}{2}[/tex]

                    l = x = 22 feet

           width, w = x - 12 = 22 - 12

                     w = 10 feet

Step: 3

          Check for solution,

                       64 = 2 ( 12 + 22 )

                            = 2 (32)

                      64 = 64

Result:

        The width of the garden is 10 feet, if the perimeter of the garden is 64 feet and the width of the garden is 12 feet less than the length.  

Answer:

50

Step-by-step explanation:

Unknown number = x

32% = 0.32

Write an equation

0.32(x) = 16

Simplify

0.32x = 16

Divide both sides of the equation by 0.32

x = 50

50

Hope this helps :)

Answer:  10

This is the asnwer

Answer:

B (it's kinda cut off)

Step-by-step explanation:

Use the acronym SOHCAHTOA to determine which trigonometric function to use. We'll use cosine since we have the hypotenuse and the adjacent length.

Set up an equation:

cos(41)=x/18

cos(41)*18=x

13.585=x

So your best choice would be B

Answer:

2.1

Step-by-step explanation:

w/7 = .3

Multiply each side by 7

w/7 *7 = .3*7

w = 2.1

Answer:

x=-7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7x−4=3+8x

7x+−4=3+8x

7x−4=8x+3

Step 2: Subtract 8x from both sides.

7x−4−8x=8x+3−8x

−x−4=3

Step 3: Add 4 to both sides.

−x−4+4=3+4

−x=7

Step 4: Divide both sides by -1.

−x/−1=7/−1

x=−7

Answer:

40

Step-by-step explanation:

If the dimensions are proportional, then you just need to multiply 5 by 8 to get what ? is equal to.

Answer:The Answer is 40

Step-by-step explanation:the bottom is 7 x 8 to get 56 the side length is 8x8 to get 64 and the other is 5 x8 to get 40.

Hope this helped ;D

Answer:

For the green one the answer is 8 square units

For the red one the answer is 9 square units

Hope this helps

The area of the shaded green polygon is equal to 8 square units.

The area of the shaded red polygon is equal to 9 square units.

In Mathematics and Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):

Area of triangle = 1/2 × b × h

Where:

Note: When the green polygon is dissected, three triangles would be formed.

By substituting the given side lengths into the formula for the area of a triangle, we have the following;

Area of triangle = (1/2 × 1 × 1) + (1/2 × 3 × 1) + (1/2 × 3 × 4)

Area of triangle = 0.5 + 1.5 + 6

Area of triangle = 8 square units.

In order to determine the area of the shaded red polygon, we would have to apply Pick's theorem;

Area of polygon = (b/2 + i) - 1

where:

By substituting the number of lattice points, we have the following;

Area of polygon = (b/2 + i) - 1

Area of red polygon = (4/2 + 8) - 1

Area of red polygon = 10 - 1

Area of red polygon = 9 square units.

Answer:

14x² - 21

Step-by-step explanation:

given for a rectangle,

height = 7

width = 2x² - 3

Area = height x width

= 7 (2x² - 3)

= (2x²) (7) - 3 (7)

= 14x² - 21

Answer:

x = 4

Step-by-step explanation:

Assuming these are similar triangles,we can use ratios to solve

3x+8        25

---------- = ------

4               5

Using cross products

5(3x+8) = 4*25

Distribute

15x +40 = 100

Subtract 40 from each side

15x+40-40 = 100-40

15x= 60

Divide each side by 15

15x/15 = 60/15

x =4

First, find the scale factor between both triangles.

25 / 5 = 5

15 / 3 = 5

Second, multiply to find the missing side length.

4 * 5 = 20

Third, solve for x.

3x + 8 = 20

3x + 8 - 8 = 20 - 8

3x = 12

3x/3 = 12/3

x = 4

Best of Luck!

Answer:

$5.00 per pound

Step-by-step explanation:

12oz = $3.75

12(1.33333333) = 16

3.75(1.33333333) = 4.9 repeating

so the answer is $5.00