A total of 571 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 more student tickets sold than adult tickets. How many adult tickets were sold?

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Answer:

Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps

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The inference rule is ({E and P} S1 {Q},{ not E and P} S2 {Q})/({P}if E then S1 else S2{Q}).

In the given question, we have to define the semantics (inference rule) of the if statement: {P} if (E) S1 else S2 {Q}.

A way of inferring the veracity of one assertion based on the significance of other assertions is known as an inference rule.

(S1, S2, ........, Sn)/S

According to the rule, if S1, S2,..., and Sn are real, then S's validity can be derived.

Given,

{P} if (E) S1 else S2 {Q}

The inference rule is

We know that if if E and P are true then it is S1 with postcondition {Q} or if E and P is false then it is else part that is S2 with postcondition {Q}

i.e. {E and P} S1 {Q},{not E and P} S2 {Q}

So the inference rule is:

({E and P} S1 {Q},{ not E and P} S2 {Q})/({P}if E then S1 else S2{Q})

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Answer:

3861444226895040

Step-by-step explanation:

You do not want to know.

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

282 hr   <======= see below

Step-by-step explanation:

Distance / rate = time

2.4 x 10^9 mi / 85 m/hr   = 28235294 hr

 You must have left the power of 10 off of your speed

     probably should be   8.5 x 10^6  perhaps?   then answer is 282

Answer:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

\(f(x) =-x^{2} +28x-192\)

Vertex

x= \(-\frac{b}{2a}\)

x= \(-\frac{28}{2(-1)} =14\)

y= \(-14^{2}+28(14)-192 =4\)

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

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Answer:

5.D1.3 select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display

Step-by-step explanation:

Groups not counted as unemployed in the official unemployment statistics are the underemployed and discouraged workers.

A discouraged worker is someone who can work and is qualified for employment but is not already working and has not looked for work in the past four weeks. Discouraged workers typically have given up looking for work because they have discovered no relevant employment possibilities or have not been successful in getting a job after applying.

Discouragement among employees has a wide range and complex root causes. Because they lack the skills to deal with technological change at work, workers occasionally leave the workforce. During the Great Recession, the manufacturing industry let go of senior workers who were unable to operate the modern computer numeric control (CNC) equipment, which was used to cut wood and other hard materials.

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Answer:

After 200 students, it would better to hire Band A

Step-by-step explanation:

350+ 1.25x = 600

1.25x = 250

x = 200

at 200 students the cost is the same for Band A and Band B

at 201 students Band A will be cheaper then Band B

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

Answer:

\(16\)

Step-by-step explanation:

Substituting \(a=2\) and \(b=3\) into \((a^{b}+b^{a})-1\) gives us:

\((a^{b}+b^{a})-1\)

\(=(2^{3} +3^{2})-1\) (Substitute given values into expression)

\(=(8+9)-1\) (Evaluate exponents)

\(=17-1\) (Evaluate expression in parentheses)

\(=16\) (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

(\(a^{b}\) + \(b^{a}\) ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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The equation in its standard form is 4x - 5y = -6

From the question, we have the equation to be

y+2=4/5 (x+4)

Start by multiplying both sides of the equation by 5

So, we have

5(y + 2) =4/5 (x+4) * 5

Evaluate the products

This gives

5y + 10 =4 (x+4)

Next, we open the brackets

So, we have the following representation

5y + 10 =4x + 16

Collect the like terms

4x - 5y = 10 - 16

Evaluate the like terms

This gives

4x - 5y = -6

Hence, the standard form of the equation is 4x - 5y = -6

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Answer:

\(2\pi \times r = c\)

\(\pi \times {r}^{2} = a\)

A=5257.76

Step-by-step explanation:

Or use a calculator online.

Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

The Solution:

Given:

The perimeter of the square piece of land is 24 ft.

We are required to find the area of the given piece of land.

Step 1:

By formula,

So,

Step 2:

Find the area of the piece of land.

Therefore, the correct answer is 36 square feet.

Answer:

10km/h

Step-by-step explanation:

The volume available to carry instruments and cameras inside the cylindrical body of a TIROS weather satellite is approximately 26,336.5 cubic inches.

To find the volume of the cylindrical-shaped body of a TIROS weather satellite, we can use the formula for the volume of a cylinder: V = πr²h. In this case, the diameter is 42 inches, so the radius (r) is half of that, which is 21 inches. The height (h) is 19 inches.

Step 1: Calculate the radius (r) by dividing the diameter by 2.
r = 42 inches / 2 = 21 inches

Step 2: Calculate the square of the radius (r²).
r² = 21 inches × 21 inches = 441 square inches

Step 3: Multiply the square of the radius (r²) by the height (h).
Volume (V) = 441 square inches × 19 inches = 8379 cubic inches

Step 4: Multiply the result by π (approximately 3.1416).
V = 8379 cubic inches × 3.1416 ≈ 26,336.5 cubic inches

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Answer:

15%

Step-by-step explanation:

number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%

Using exponent properties, we can simplify the given expression as:

4ⁿ⁺⁴ = 256*4ⁿ

Remember the exponent property for the product:

xᵃ*xᵇ = xᵃ*ᵇ

Then our expression can be rewritten as:

4ⁿ⁺⁴

We can expand that as

4ⁿ⁺⁴ = 4ⁿ*4⁴

And the second factor can be simplified to:

4⁴ = 16*16 = 256

Then the simplified expression will be:

256*4ⁿ

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Answer:

-53

Step-by-step explanation:

If x=3 and y=-4

Plug the numbers into the equation

3 - (-4) - 3 + (-57)

Now solve the equation right to left

3 - (-4) = 7

7 - 3 = 4

4 - 57 = -53

So the answer is -53

Answer:

5/8 is the length. Just divide 15/56 by 3/7.

hope this helps

Answer:

6068 rabbits

Step-by-step explanation:

Given

\(Rabbits = 200\)

\(Reduction = 3\ daily\)

\(Squirrels = 18\)

\(Increment = 2\ daily\)

Required

Determine number of rabbits caught up till the day when they caught more squirrel.

Let the number of days be n

On any n day,

The number of rabbits they catch is:

\(Rabbit = 200 - 3n\)

The minus symbol is used because there's a reduction in the numbers of Rabbit caught, each day.

The number of squirrel they catch is:

\(Squirrel = 18 + 2n\)

The addition symbol is used because there's an increment in the numbers of Squirrel caught, each day

First, we need to solve for n

The expression when they catch more rabbits than squirrel is:

\(Squirrel > Rabbit\)

Substitute values for Squirrel and Rabbit

\(18 + 2n > 200 - 3n\)

To solve the above expression, we start by collecting like terms

\(2n + 3n > 200 - 18\)

\(5n > 182\)

Solve for n

\(n > \frac{182}{5}\)

\(n > 36.4\)

Days must be an integer. So, we have to round the above value.

\(n > 36\)

The above expression shows that they caught more squirrel on a day greater than 36.

This day is 37.

i.e.

\(n = 37\)

The reduction in the number of rabbits daily is an indication of Arithmetic progression.

So, to calculate the number of rabbits caught up till the day when they caught more squirrel, we make use of Sum of n terms of an AP using:

\(S_n = \frac{n}{2}(2a + (n-1)d)\)

In this case:

\(n = 37\)

a = Initial Number of rabbits;

\(a = 200\)

d = the reduction (common difference)

\(d = -2\)

Substitute these values in the given formula:

\(S_n = \frac{n}{2}(2a + (n-1)d)\)

\(S_{37} = \frac{37}{2}(2 * 200 + (37 - 1) * -2)}\)

\(S_{37} = \frac{37}{2}(2 * 200 + 36 * -2)}\)

\(S_{37} = \frac{37}{2}(400 -72)}\)

\(S_{37} = \frac{37}{2} * 328\)

\(S_{37} = 37 * 164\)

\(S_{37} = 6068\)

Up till that day, the number of rabbits is 6068

Answer:

Since the number of calories burned is proportional to the number of minutes jogged, we can represent this relationship using the equation y = kx, where y is the number of calories burned, x is the number of minutes jogged, and k is the constant of proportionality.

To find the value of k, we can use one of the given data points. For example, if x = 10 and y = 95, we have 95 = k * 10. Solving for k, we find that k = 9.5.

The constant of proportionality, k, has the meaning of the number of calories burned per minute of jogging. In this case, k = 9.5 calories/minute, so for every minute of jogging, the person burns 9.5 calories.

Step-by-step explanation:

After 6 weeks, the size of the bacteria is 1600, and after 15 weeks, the size of the bacteria is 12800

Let N₀ be the initial number of bacteria in a population and r be the growth rate of the bacteria.

The doubling time t doubles the population after each time interval t, hence:

Nt = N₀ × 2^(t/t) Nₜ

= N₀ × 2^(t/d)Nt/N₀

= 2^(t/d)ln(Nₜ/N₀)

= (t/d)ln2ln(Nₜ) - ln(N₀)

= (t/d)ln2ln(Nₜ/N₀)

= (t/d)ln2t/d

= ln(Nt/N₀) / ln2

Now, we can calculate the time required for the population to double in size as

t = d × ln2/ln(Nₜ/N₀)

Now, let's substitute the values given and solve:

a) After 6 weeks, t = 3 weeks (since doubling time is 3 weeks)

So, Nₜ/N₀ = 2^(t/d)

= 2^(6/3)

= 2^2 = 4

Nt = N₀ × 4

= 100 × 4

= 400.

After 6 weeks, the size of the bacteria is 400.

b) After 15 weeks,

t = d × ln2/ln(Nₜ/N₀)ₜ

= 3 × ln2/ln(128)

= 3 × 0.9983/7.1554

= 0.4186 weeks

So, Nₜ/N₀ = 2^(t/d)

= 2^(15/3)

= 2^5

= 32Nₜ

= N₀ × 32 = 100 × 32

= 3200

After 15 weeks, the size of the bacteria is 3200.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

I only have 2

Step-by-step explanation:

each sides is multiplying by 2

each order is multiplying by 12

for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n

The margin of error is calculated as

Margin of Error = Critical Value * Standard Deviation / √(Sample Size)

= 1.645 * 7.7 / √(n)

= 1.645 * 7.7 / √(n)

The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.

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Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.