The cafeteria tracks what they sold at lunch last week. They sold 50 slices of pizza, 92 chicken nugget plates and 108 nacho bowls. Based on this data, which number is closest to the probability that the next customer will buy a slice of pizza? A. 300% C. 50% B. 20% D. 25%​

if its diameter is 6, then its radius is half that or 3.

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h }{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=4 \end{cases}\implies V=\cfrac{\pi (3)^2(4)}{3}\implies V=12\pi \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies \qquad SA=\pi (3)\sqrt{3^2+4^2}+\pi (3)^2 \\\\\\ 3\pi \sqrt{25}+9\pi \implies 3\pi (5)+9\pi \implies 15\pi +9\pi \implies 24\pi\)

The scale factor is 2 and center dilation is reduced.

The scale factor is a ratio that describes how much a figure has been enlarged or reduced. It is calculated by dividing the length of the corresponding sides of the original and dilated figures. If the scale factor is greater than 1, then the figure is enlarged, and if it is less than 1, then the figure is reduced.

To find the scale factor in an IXL dilations problem, you need to compare the corresponding sides of the original and dilated figures.

If the original figure has a side length of 4 units, and the dilated figure has a corresponding side length of 8 units, then the scale factor is 8/4=2. This means that the dilated figure is twice as large as the original figure.

The center of dilation is the point about which the figure is enlarged or reduced. It is the fixed point that remains unchanged during the dilation process.

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Answer:

Bro, this is explaining something there is no question to answer here.

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

(0,0) would lie on the line y = 2x

Answer:

(0,0)

Step-by-step explanation:

the equation is very easy to be done by x intercept and y intercept so

x intercept( 0,0 )

because on the coordinate line of x the value of y is zero so when we insert 0 on the value of y x becomes 0

y intercept ( 0,0 )

because on the coordinate line of y the value of x is zero so when we insert 0 on the value of x , y becomes 0

Answer:

c

Step-by-step explanation:

im doing apex too lol just got the answer right

based on the equivalent worth method and a MARR of 12%, Alternative II is the more favorable choice.

To compare the two alternatives using an equivalent worth method and a MARR (Minimum Acceptable Rate of Return) of 12%, we will calculate the present worth of each alternative and select the one with the higher present worth.

Alternative I:

Initial investment: -$45,000

Net revenue in Year 1: $8,000

Net revenue increases by $4,000 per year

Salvage value at the end of Year 6: $6,500

To calculate the present worth, we need to discount each cash flow to its present value using the MARR of 12%. The formula for calculating the present worth is:

PW = CF₁/(1 + i) + CF₂/(1 + i)² + ... + CFₙ/(1 + i)ⁿ

where PW is the present worth, CF₁, CF₂, ... CFₙ are the cash flows in each year, and i is the interest rate (MARR).

Using this formula, we can calculate the present worth of Alternative I:

PW₁ = -45,000 + 8,000/(1 + 0.12) + 12,000/(1 + 0.12)² + 16,000/(1 + 0.12)³ + 20,000/(1 + 0.12)⁴ + 24,000/(1 + 0.12)⁵ + (6,500 + 24,000)/(1 + 0.12)⁶

Calculating this expression, we find that the present worth of Alternative I is approximately $30,545.33.

Alternative II:

Initial investment: -$60,000

Uniform annual revenue for 9 years: $12,000

Salvage value at the end of Year 9: $9,000

Using the same formula, we can calculate the present worth of Alternative II:

PW₂ = -60,000 + 12,000/(1 + 0.12) + 12,000/(1 + 0.12)² + ... + 12,000/(1 + 0.12)⁹ + 9,000/(1 + 0.12)⁹

Calculating this expression, we find that the present worth of Alternative II is approximately $49,847.09.

Comparing the present worths of the two alternatives, we find that Alternative II has a higher present worth ($49,847.09) compared to Alternative I ($30,545.33). Therefore, based on the equivalent worth method and a MARR of 12%, Alternative II is the more favorable choice.

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Hello!

We have the point (-5,3). We will plug this into each equation and see which ones are true.

3=-10+13

True

3=5-2

True

3=-15-5

False

3=2.5+6

False

3=10-2

False  

Therefore, the correct answers are A and B.

I hope this helps!

Answer:

Step-by-step explanation:

AD = \(\frac{AC}{2}\)

AD = DC = 12

AC = 2AD = 24

~~~~~~~~~~~~~~~~

\(\frac{4y-36}{2}\) = 12

2y - 18 = 12

y = 15

The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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Answer:

d 2x

Step-by-step explanation:

Answer:

(-12+6+7+12-6+1)÷ 6

=8÷6

=1.3333

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The difference between the retail and wholesale unit price is $ 0.99.

The retail price is the price that the item is sold for to the customer.

Here,

Coordinates extracted from the graph;

(4, 1)     (12, 3)

Equation of straight line (Whole sale price)

(y - y₁) = m(x - x₁)                  

where, m = (y₂-y₁)/(x₂-x₁)

then, m = (3-1) / (12-4)

            = 2/8

           = 1/4

Now,   (y - 1) = 1/4 (x - 4)

           4y - 4 = x - 4

            x = 4y

            x - 4y = 0

Now, whole sale price for 24 boxes; x = 24

           24 - 4y = 0

            4y = 24

             y = 24/4

             y = 6

The wholesale price = $ 6

The retail price = $ 6.99

The difference between retail and wholesale = Retail - Wholesale

                                                                            = 6.99 - 6

                                                                            = $ 0.99

Thus, the difference between the retail and wholesale unit price is $ 0.99.

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In order to do this question, you will need to divide the total number of people coming by the maximum amount of people a table can hold. You will get a remainder so what you need to do is to add one extra table from your answer.

Solution

= 74/9

= 8 R2

You will need 8 tables plus one more to accommodate the extra two people so you'll need a total of 9 tables.

The description indicates a linear relationship, not a proportional one, so option A is accurate.

Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression must be either added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying the two sides of the equation by an nonzero value.

A) The relationship is described as linear rather than proportional.

The cost of bowling can be represented by the equation C = 15 + 3x, where C is the total cost, and x is the number of games played. This is a linear relationship because the cost increases at a constant rate as the number of games played increases.

However, this is not a proportional relationship because the additional cost of $3 for renting shoes does not stay the same for every game played. It is a fixed fee that is added to the cost of each game. If the cost of shoes was proportional to the number of games played, then the cost per game would stay the same regardless of how many games were played.

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Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Answer:

1- c:25

2-cant help

3- A:2,8

4-cant help

Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x

To determine the value of x, you have to apply the Thales theorem. Which states that the line segments determined by the parallel lines are at the same ratio, so that:

From this expression, you can determine the value of x. Multiply both sides f the equal sign by 28 to calculate the value of x:

The value of x is equal to 14

The other end point of the line segment is (-11, 6)

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

Midpoint = (-4, 7)

Endpoint 1 = (3, 8)

Represent the other point with (x, y)

using the above as a guide, we have the following:

Midpoint = 1/2(x1 + x2, y1 + y2)

So, we have

1/2(x + 3, y + 8) = (-4, 7)

This gives

(x + 3, y + 8) = (-8, 14)

Evaluate

(x, y) = (-11, 6)

Hence, the other point is (-11, 6)

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77 is the sum of their integers  squares .

What in math is an integer?

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

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The equation with the fewest symbols is 30x - 18, which represents the simplified form of the given expression.

An equation is a mathematical statement that shows the equality between two expressions. The given expression is not an equation since there is no equality sign present. However, we can simplify the expression to get an equivalent equation with the fewest symbols.

To simplify the expression, we use the distributive property of multiplication over addition/subtraction. We multiply 6 with each term inside the parentheses, i.e., 5x and -3. This gives us:

6(5x - 3) = 6(5x) - 6(3) = 30x - 18

This simplified expression is an equation that shows the equality between the left-hand side (LHS) and the right-hand side (RHS). The LHS is 30x - 18, and the RHS is also 30x - 18, which means that they are equal.

Therefore, the equation with the fewest symbols is 30x - 18, which represents the simplified form of the given expression.

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a. The growth rate of zt in terms of gx and gy is given by gz = α × gx + (1-α) × gy.

b. The growth rate of zt in terms of gx and gy is given by gz = β × gx - gy.

To solve for the growth rate of zt in terms of gx and gy for the equation zt = xt²α × yt²(1-α):

Taking the natural logarithm of both sides:

ln(zt) = ln(xt²α × yt²(1-α))

Using the logarithmic property ln(a×b) = ln(a) + ln(b):

ln(zt) = ln(xt²α) + ln(yt²(1-α))

Applying the power rule of logarithms ln(a²b) = b × ln(a):

ln(zt) = α ×ln(xt) + (1-α) × ln(yt)

Differentiating both sides with respect to t:

d/dt ln(zt) = α ×d/dt ln(xt) + (1-α) × d/dt ln(yt)

The left-hand side represents the growth rate of zt (denoted as gz). Similarly, the right-hand side represents the growth rates of xt (gx) and yt (gy):

gz = α × gx + (1-α) × gy

(b) To solve for the growth rate of zt in terms of gx and gy for the equation zt = α × xt²β / yt:

Taking the natural logarithm of both sides:

ln(zt) = ln(α × xt²β / yt)

Using the logarithmic properties ln(a/b) = ln(a) - ln(b) and ln(ac) = c ×ln(a):

ln(zt) = ln(α) + ln(xt²β) - ln(yt)

Applying the power rule of logarithms ln(a²b) = b × ln(a):

ln(zt) = ln(α) + β × ln(xt) - ln(yt)

Differentiating both sides with respect to t:

d/dt ln(zt) = β ×d/dt ln(xt) - d/dt ln(yt)

The left-hand side represents the growth rate of zt (denoted as gz). Similarly, the right-hand side represents the growth rates of xt (gx) and yt (gy):

gz = β × gx - gy

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There is percent decrease of 30%

50 pounds to 35 pounds

Original amount = 50 pounds

New amount= 35 pounds

Since, New amount is less than the original amount, this is a percentage of decrease.

Change in amount = 35 -50

Change in amount = -15 pounds

Substitute the given values we have;

% change = (change/original value) x 100

% change = -(15/50) x 100

% change = - 30%

Therefore, there is percent of decrease which is 30%.

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If water is being pumped into the trough at 2 cubic feet per minute, then the water level rising (in feet per minute) when h is 1.6 foot deep is 0.1 feet cubic per minute.

Suppose that we have a function y = f(x), and wish to find the rate of change of y with respect to a third variable t, where we do not have y expressed explicitly in terms of t. We use the chain rule in differentiation to find this rate of change in a process called implicit differentiation.

                     dy/dt = dy/dx × dx/dt

If base is equal to the height, by similar triangles:

Volume v = base x height x length/2

                = bhl/2

                = h²12/2

                = 6h².

Therefore,  

dv/dt = 12hdh/dt

         = 2 ft³/min

 Now,

dh/dt = 2/(12h)

when h = 1.6,

dh/dt = 2/(12 × 1.6) ≈ 0.1 ft³/min

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the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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x+7+x=165

2x+7=165

2x+7-7=165-7

2x=158

2x÷2=158÷2

x=79

79+7+79=165