At the city museum, child admission is 6.10 and adult admission is 9.40. On wednesday, 125 tickets were sold for a total sales of 944.00. How many adult tickets were sold that day?

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

Answer:

The average rate of change of the given function over the interval [2, 4] is -4.

Step-by-step explanation:

To find the average rate of change of a function f(x) over the interval [a, b], we should use the formula:

\(\boxed{\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}}\)

Given function:

\(f(x) = x^3 - 7x^2 + 10x\)

To find the average rate of change of the given function over the interval [2, 4], we need to first find the values of f(2) and f(4).

\(\begin{aligned}f(2) &= (2)^3 - 7(2)^2 + 10(2)\\&= 8 - 7(4) + 10(2)\\&= 8 - 28 + 20\\&= -20 + 20\\&= 0\end{aligned}\)

\(\begin{aligned}f(4) &= (4)^3 - 7(4)^2 + 10(4)\\&= 64 - 7(16) + 10(4)\\&= 64 - 112 + 40\\&= -48+ 40\\&= -8\end{aligned}\)

Substitute the values into the formula for the average rate of change over the interval [2, 4]:

\(\textsf{Average rate of change} = \dfrac{f(4) - f(2)}{4 - 2} = \dfrac{-8-0}{4-2}=\dfrac{-8}{2}=-4\)

Therefore, the average rate of change of the given function over the interval [2, 4] is -4.

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Answer:

Step-by-step explanation:

Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3

Volume = 300 cm^3

Volume = Base *h  

Volume = pi * r^2 * h = 300

h = 300/(pi * r^2 )

Area material =  2*pi * r * h * 0.03 + 2 pi r^2 * 0.06

Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2

dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r

dmaterial/dr = -18 r^-2 + 0.24 pi * r

The minimum occurs when the right side = 0

18/r^2 = 0.24 *pi r

18 = 0.24*pi * r^3

18/(0.24 * pi) = r^3

23.89 = r^3

cube root (23.89) = cuberoot(r^3)

r = 2.88 cm

h = 300/pi * r^2

h = 300/(3.14 * 2.88^2)

h = 11.52

This isn't much of a check but we can try it.

Volume = 3.14 * 2.88^2 * 11.52

Volume = 302.01 which considering all the rounding is pretty close.

Here's a graph that confirms my answer.

Answer:

R = 3h (Where R = revenue)

Step-by-step explanation:

Let's say Cara worked for 3 hours.
She earns $3 the first hour, then another $3 for the second, and finally $3 for the third.

In total, she earned $3 + $3 + $3 = $3 x 3 = $9.

Let's say Cara worked for 5 hours.
She earns $3 the first hour, $3 the second, $3 the third, $3 the fourth, and finally, $3 the fifth.

In total, she earned $3 + $3 + $3 + $3 + $3 = $3 x 5 = $15.

As you can see by these examples, the amount of money Cara earns for babysitting is directly proportional to the amount of hours she worked.

Since she earns $3 for every hour she works, we can summarize the relationship between Cara's revenue and Cara's work hours per week to be: R = 3 * h, where R is Cara's revenue, and h is Cara's work hours.

We usually don't write the multiplication sign between a constant and a parameter, therefore we'll write the relationship as R = 3h.

Answer: its A

Step-by-step explanation:

Step-by-step explanation:

let the number represent X

5/100xx=10

5x/100=10

then you cross multiply

5x=100x10

5x=1000

divide both sides by 5

X=1000/5 =200

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

Answer:

15x 1y

Step-by-step explanation:

im smart

Step-by-step explanation:

here you go!

so basically x = 9 cars

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Answer:

p = √5 + vt

p - √5 = vt

p - 2.24 = vt

p - 2.24/t = t

the distance from City A to City C is approximately 346 km.

To find the distance from City A to City C, we can use the Law of Cosines, which states that\(c^2 = a^2 + b^2 - 2ab cos(C)\), where c is the side opposite to angle C, and a and b are the lengths of the other two sides.

Given that City A is 300 km due east of City B, and City C is 200 km on a bearing of 123 degrees from City B, we have two sides and the included angle. The side opposite to angle C is the distance we want to find.

Using the Law of Cosines, we have:\(c^2 = 300^2 + 200^2 - 2 * 300 * 200 cos(123).\)

Evaluating the expression, we get: c^2 ≈ 120,200.

Taking the square root of both sides, we find: c ≈ √120,200 ≈ 346 km.

Therefore, the distance from City A to City C is approximately 346 km.

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-8 = -7 + X

- 8 + 7 = X (Adding 7 to both sides of the equation)

-1 =x (Subtracting)

The answer is x=-1.

the answer of -8 = -7 +Xx is x= -1

Answer:

i dont really know but im gonna guess that its the first one

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Given equation:

\(\bold{0.5x-7= \sqrt{(-5x+29)}}\)

As in the given question the two ways to solve the equation can be defined as follows:

First way:

Let square the above-given equation then we will get:

\(\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\\)

The calculated equation doesn't have any like term that's why it can't be factorised.

Second way:

after calculating the equation that is \(0.25x^2-2x+20=0\), it graph is given in attachment please find.

hope this helped buddy

Peace

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

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The value of k is 3.

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

y = 2x² - 8x + 7

This function is identical to some function y = a(x - h)² + k

We have to write the given quadratic function in the form y = a(x - h)² + k.

2x² - 8x + 7 = (2x² - 8x) + 7

                   = 2(x² - 4x) + 7

                   = 2(x² - 4x + 4) + 7 - 4

We have the algebraic identity, (a - b)² = a² - 2ab + b²

                   = 2 (x - 2)² + 3

a = 2, h = 2 and k = 3

Hence the value of k is equal to 3.

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Answer:

60

Step-by-step explanation:

3*4^2+4+8

Answer:

60.

Step-by-step explanation:

So, multiply 3 x 4² that equals 48. 48 + 4 = 52 + 8 = 60.

4² = 16

3 x 16 = 48

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Answer:

Since the cross-products are equal to each other, the two ratios are equivalent.

...

Look at the proportion on the right.

Solve it. (You may use the calculator below.)

Then enter your answer and press the "Enter" or "Return" key on your keyboard.

Press the "New problem" button to get a new problem.