The ratio of people who wanted hot dogs to hamburgers was 5:8. If 52 meals were served how many of those were hot dogs and hamburgers?

Answer: The width of the rectangular window is 53 cm.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

Area = Length x Width

Substituting the given values, we have:

3816 cm² = 72 cm x Width

To solve for the width, we can divide both sides by 72 cm:

Width = 3816 cm² ÷ 72 cm

Width = 53 cm

Therefore, the width of the rectangular window is 53 cm.

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

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The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

Hope this helps ;)

Step-by-step explanation:

If you stretch the square root function F(x)=√x vertically by four units, the new function can be represented by the equation:

G(x) = 4 * √x

This can be written as:

G(x) = 2 * √(2x)

Alternatively, you can write the equation as:

G(x) = √(4x)

Either way, the vertical stretch of the square root function by four units is given by the equation G(x) = 4 * √x or G(x) = 2 * √(2x) or G(x) = √(4x).

Answer:

343

Step-by-step explanation:

5 servings of 12.5 ounces.

(the answer is 5 :^)

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

$8.75 (approximately)

BRAINLIEST, PLEASE!

Step-by-step explanation:

3.5/12 = 0.29...

0.29... x 30 = 8.75...

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

The graph of the cubic equation is in the equation of the end.

To do it, we need to find some points that are solutions of the equation. Then we can graph these points on a coordinate axis and then connect these points with a curve proper of a cubic relation.

when x = 0

g(0) =  -2*0³-8*0² +18*0+72 = 72

So we have the point (0, 72)

when x = 1

g(1) =  -2*1³-8*1² +18*1+72

      = -2 - 8 + 18 + 72 = 80

So we have the point (1, 80)

when x = -1

g(-1) =  -2*-1³-8*-1² +18*-1+72

      =    2 - 8 - 18 + 72 = 48

(-1, 48)

And so on, when you have enough points, you can connect them. The graph that should you get is one like the graph in the image at the end.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

The equation of the graph g(x)  is \(3^{x-6}\)

What is a graph ?

A diagram that shows how a variable's variation compares to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas. all points whose coordinates satisfy a specific relation;

In mathematics, the word "graph" has (at least) two distinct meanings. A function graph or "graph of a function," also known as a plot, is referred to as a "graph" in elementary mathematics. A graph is a set of points and the connections between some subset of those points and their lines, which may or may not be empty.

The translation of the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

If the graph of the function  f(x) = 3^x is translated 6 units to the right , then the function becomes

g(x) = f(x - 6)

     = \(3^{x-6}\)

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Answer:

The appropriate answer is "11 crimes".

Step-by-step explanation:

Let,

The number of crimes be "n".

Now,

⇒ \(P(solved \ at \ least \ one) = 1-P(solved \ none \ of \ n)\)

or,

⇒ \(1-(0.8)^n>0.9\)

⇒       \((0.8)^n<0.1\)

By taking log both sides, we get

⇒ \(n>=\frac{log(0.1)}{log(0.8)}\)

By putting the values, we get

⇒ \(n>=10.31\)

      \(n=11 \ crimes\)

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

Answer: -4/5

Step-by-step explanation: It's important to understand

that perpendicular lines have negative reciprocal slopes.

"Negative reciprocal" is just a fancy way

of saying flip the fraction and change the sign.

So if we flip the fraction 5/4 we get 4/5 and

if we change the sign we get -4/5.

Answer:

\(x = 4\)

\(y = 4\)

Step-by-step explanation:

Given

\(3y = \frac{3}{2}x + 6\)

\(y-\frac{1}{4}x = 3\)

Required

The solution

Multiply the second equation by 3

\(3 * [y-\frac{1}{4}x = 3]\)

\(3y-\frac{3}{4}x = 9\)

Rewrite as:

\(3y =\frac{3}{4}x + 9\)

Subtract this from the first equation

\([3y = \frac{3}{2}x + 6]- [3y =\frac{3}{4}x + 9]\)

\(3y - 3y = \frac{3}{2}x - \frac{3}{4}x + 6 - 9\)

\(0 = \frac{3}{4}x -3\)

Rewrite as:

\(\frac{3}{4}x =3\)

Multiply both sides by 3/4

\(x =3*\frac{4}{3}\)

\(x = 4\)

Substitute \(x = 4\) in \(3y = \frac{3}{2}x + 6\)

\(3y = \frac{3}{2} * 4 + 6\)

\(3y = 6 + 6\)

\(3y = 12\)

Divide both sides by 3

\(y = 4\)

Answer:

C. no solution

Step-by-step explanation:

did it on edge2021

Answer:

b yes , a no , c yes ,a no ,b yes

The required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9).

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given ratio are,

25:4 and 45:10

Now converting the given ratio into fraction,

25:4 = 25/4

and,

45:10 = 45/10

Now for 25/4 we have,

Numerator = 25

Denominator = 4

Now dividing numerator and denominator by 25 we get,

Numerator = 25/25 = 1

Denominator = 4/25

Thus, the complex fraction of 25/4 we get is,

25/4 = 1/(4/25)

Similarly for 45/10

Numerator = 45

Denominator = 10

Now dividing numerator and denominator by 45 we get,

Numerator = 45/45 = 1

Denominator = 10/45 = 2/9

Thus, the complex fraction of 25/4 we get is,

45/10 = 1/(2/9)

Thus, the required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9)

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Answer:

B) \(\frac{-5}{4}\)

Step-by-step explanation:

Take any two points

(x₁ , y₁) = ( -4 , 0)  & (x₂ , y₂) = (0 , -5)

\(slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

        \(=\frac{-5-0}{0-[-4]}\\\\=\frac{-5}{0+4}\\\\=\frac{-5}{4}\)

Answer:

B. 90 inches

Step-by-step explanation:

Given that

The length is 50 m

And, the width is 25 m

Scale factor is 3 inches per 5 m

We need to find out the  perimeter of the pool

So,

5 meter = 3 inches

3  ÷ 5 = x ÷ 50

x = 30 inches = length

Now

3  ÷ 5 = x ÷ 50

x = 15 inches = width

Now the perimeter of the pool is

= 2(l + w)

= 2 (30 + 15)

= 90 inches

Answer:

14.50

Step-by-step explanation:

i took the quiz on k12 truse me i wish luck

The IQR for these data is 6.25.

Answer choice A is correct.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the IQR, we first need to find the first and third quartiles.

First, we need to order the data from smallest to largest:

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Next, we find the median (middle value) of the data set.

Since we have an odd number of data points, the median is the middle number, which is 14.5.

To find the first quartile (Q1), we need to find the median of the lower half of the data set.

That is, we need to find the median of 10.5, 11, 11.5, and 14.5.

The median of this subset is (11 + 11.5) / 2 = 11.25.

To find the third quartile (Q3), we need to find the median of the upper half of the data set.

That is, we need to find the median of 17, 17, 18, and 19.

The median of this subset is (17 + 18) / 2 = 17.5.

Now we have the first quartile (Q1) = 11.25 and the third quartile (Q3) = 17.5. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

= 17.5 - 11.25

= 6.25

Therefore,

The IQR for these data is 6.25.

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The amount of water tank  with water after 10 minutes will be 4950 liters.

To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.

Let's calculate the net flow rate of water per minute:

Flow rate = (filling tap flow rate) - (emptying tap flow rate)

Flow rate = 40 L/min - 25 L/min

Flow rate = 15 L/min

Now, we can calculate the net flow of water over 10 minutes:

Net flow of water = (flow rate) * (time)

Net flow of water = 15 L/min * 10 min

Net flow of water = 150 L

Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.

Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:

Final amount of water = (initial amount of water) + (net flow of water)

Final amount of water = 4800 L + 150 L

Final amount of water = 4950 L

After 10 minutes, there will be 4950 liters of water in the tank.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

6y+66

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

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

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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The function family sketched is exponential function.

From the graph, we can find certain values of the function for certain x-values.

When x = 0, the function has value 1.

When x = 2, the function has value 4

When x = 3, the function has value 8.

When x = 4, the function has value 16

From this we can identify the function as the exponential function, f(x) = eˣ

because e⁰ = 1. i.e., exponential function has value 1 when x = 0 which satisfy the sketch of the function given.

Also the other options given as piecewise function, linear function and quadratic function.

A piecewise function will not have a continuous sketch, but here the sketch of the function is continuous. So it cannot be a piecewise function. A linear function will have the sketch as a straight line, but here it is not. So it is not a linear function. The function values given in the sketch does not satisfy the quadratic function also.

So the only option is the sketch is of the exponential function.

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Answer: 9.25

For this equation you will need to use division. 74min. divided by 8mi.

To double check your answer is correct you have to multiply. 9.25min times 8mi.