Find the area of the rectangle.

Now, it look like there is some information missing in the answer. The whole problem should look like this:

Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?

Answer:

She sold 24 copies of the cd each day.

Step-by-step explanation:

In order to solve this problem we must first set our variable up. In this case, since we need to know what the number of sold cd's per day is, that will just be our variable:

x= Number of copies sold.

So we can start setting our equation up. So we take the first part of the problem:

"On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold."

This can be translated as:

40-x

where this expression represents the number of copies left on the shelf by the end of monday.

"On Tuesday morning, she counted the number of copies left and then added that many more to the shelf."

so we represent it like this:

(40-x)+(40-x)

"In other words, she doubled the number that was left in the display."

so the previous expression can be simplified like this:

2(40-x)

"At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday."

so the expression now turns to:

2(40-x)-x   this is the number of copies left by the end of tuesday.

"On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday."

this translates to:

3[2(40-x)-x]

This is the number of copies on the shelf by the begining of Wednesday.

"Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty."

this piece of information lets us finish writting our equation:

3[2(40-x)-x] -x = 0

since there were no copies left on the shelf, then the equation is equal to zero.

So now we proceed and solve the equation for x:

3[2(40-x)-x] -x = 0

We simplify it from the inside to the outside.

3[80-2x-x]-x=0

3[80-3x]-x = 0

we now distribute the 3 so we get:

240-9x-x=0

we combine like terms so we get:

240-10x=0

we move the 240 to the other side of the equation so we get:

-10x=-240

and divide both sides into -10 so we get:

x=24

so she sold 24 copies each day.

Answer:umm sry

Step-by-step explanation:

Answer:An example of a situation that you might not be able to use an equation with a single unknown is

Step-by-step explanation:

beep boop bop!

Answer:

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Step-by-step explanation:

Mean for a number of units, which means that the Poisson distribution is used to solve this question.

Poisson Distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Mean:

3 defective for 1000, how many for 50?

3 - 1000

\(\mu\) - 50

Applying cross multiplication:

\(\mu = \frac{3*50}{1000} = 0.15\)

What is the probability that an order of 50 units will have one or more faulty units?

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393\)

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Answer:

See below

Step-by-step explanation:

210 miles / 5 inches =   42 miles per inch   ( 1 inch = 42 miles)

The slack for activity C is 5 hours.

Slack is the amount of time that a task can be delayed without affecting the overall project schedule. In this case, the slack for activity C is calculated as follows:

Slack = Latest start time - Early start time = 13 - 8 = 5 hours

Alternatively, slack can also be calculated as the difference between the latest finish time and the early finish time:

Slack = Latest finish time - Early finish time

Slack = 17 - 12

Apply the subtraction operation, and we get

Slack = 5 hours

Therefore, activity C has a slack of 5 hours.

To learn more about Slack click here:

https://brainly.com/question/29352983

#SPJ1

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Answer:

1/360

Step-by-step explanation:

A full circle corresponds to a central angle of 360°.

A 1° angle corresponds to 1/360 of a full circle.

Answer:

1/360

Step-by-step explanation:

1° angle corresponds to 1/360 of a whole circle

Answer:

A. r!

Step-by-step explanation:

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

Permutation of n things taken r at a time

\(P_{(n,r)} = \frac{n!}{(n-r)!}\)

Combination of n things taken r at a time:

\(C_{n,r} = \frac{n!}{r!(n-r)!}\)

Division:

\(\frac{P_{(n,r)}}{C_{n,r}} = \frac{\frac{n!}{(n-r)!}}{\frac{n!}{r!(n-r)!}} = \frac{n!}{(n-r)!} \times \frac{r!(n-r)!}{n!} = r!\)

So the correct answer is:

A. r!

Answer:

1. 2

2. -6

3. -1/3

4. -9/4

6. 11/8

5. -15/11

Step-by-step explanation:

y2-y1/x2-x1

The T10 of the sequence is

T10 =-10.00

Generally, To determine the T10 of a geometric sequence, you will need to know the common ratio of the sequence.

If T2=-10 and

T6=-160, we can use these terms to find the common ratio.

The formula for any term in a geometric sequence is:

Tn = a * r^(n-1)

Where

We can use the terms you provided to find the common ratio:

-160 = -10 * r^(6-1)

-160 = -10 * r^5

r = (-160/-10)^(1/5)

Now that we know the common ratio, we can find T10:

T10 = a * r^(10-1)

T10 = -10 * r^9

So the T10 of the geometric sequence is

T10= -10 * (-160/-10)^(1/5)^9

T10 =-10.00

Read more about a geometric sequence

https://brainly.com/question/11266123

#SPJ1

Ok, this one is really easy your domain is all the x values and the range is all of the y values.

Thus, here is your answer...

Domain → { -2, -1, 0, 1 }

Range → { 0, 2, 4, 6 }

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

To learn more about mean and standard deviation visit

https://brainly.com/question/1136789

#SPJ4

We need to facto the trinomial:

Notice that the first term can be factored as:

Thus, one possible way of factoring the trinomial is:

When we multiply the terms represented by "?" and "??", we need to obtain -18. Thus, we need to factor -18 and try each pair of possible factors.

We have:

Notice that:

Then, the pair of factors of -18 must satisfy:

One possible pair of factors of -18, whose sum is 17, is: -1 and 18.

Using those numbers, we obtain:

Then, we see that:

is a way of factoring the given trinomial. Notice, though, that terms of the second factor can both be divided by 9. Then, we can write the expression as:

Then, the trinomial can be factored as:

Answer:

\(y = -\frac{3}{2}x\)

Step-by-step explanation:

Given

Passes through: (-4,6)

Slope: -3/2

Required

The equation and graph

The equation is calculated as:

\(y = m(x - x_1) + y_1\)

Where

\(m = -\frac{3}{2}\)

\((x_1,y_1) = (-4,6)\)

So, we have:

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

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

Open bracket

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

\(y = -\frac{3}{2}x\)

See attachment for graph

Answer:

83, not -83

Step-by-step explanation:

absolute value is ALWAYS POSITIVE!!! remember that!

An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.

An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)

y + 3 = 2(x + 1)

y = 2x + 2 - 3

y = 2x - 1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2.

At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x + 4)

y = -x/2 - 2 + 5

y = -x/2 + 3

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

The price function is written below and the rebate should be given at $33.8

To find the function p(x), we have to take into consideration the demand function and price function.

d(x) = [1350 + 260 * (p(x) - 540] / 26

To find p(x), we can solve using mathematical operators.

1350 + 260 * p(x) - 540 = 26d(x)

p(x) = 26d(x) - 1350 / 260 + 540

p(x) = 26d(x) - 1350 / 800

b.

Let's maximize the revenue;

r(x) = d(x) × p(x)

r(x) = 26 + d(x) - 1350) / 1350 + 260* (p(x) - 540) / 26

The value of r(x) can be simplified as;

[54000 + 169 * p((x)] * (1350 + 10 * (p(x) - 540)]

Differentiating this with respect to p(x);

dR(x)/ dP(x) = 169 * (1350 + 10* (p(x) - 540)) + [(54000 + 169 * p(x)) * 10 / 26 = 0

Solving for p(x) ;

p(x) = 622.80

Putting this value into d(x);

d(x) = 2230

The company will offer rebate of;

2230 - 1350 / 26  

rebate = 33.8

Learn more on maximizing function here;

https://brainly.com/question/13736844

#SPJ1

The value of g(2) = -1/4 and the value of g(-2) is π/2 - 3/2

Consider function g(x)

\(g(x) = \int\limits^x_1 {f(t)} dt\)

Here, function f be the continuous function defined on interval [-4, 3]

The graph of function f is shown below.

It consists of three line segments and a semicircle centered at the origin, is given above.

For x = 2,

g(2)

\(=\int\limits^2_1 {f(t)} dt\)

= -(1/2) × 1 × (1/2)                .........(From the graph of function f)

= -1/4

For x = -2,

g(-2)

\(=\int\limits^{-2}_1 {f(t)} dt\\\\=-\int\limits^{1}_{-2} {f(t)} dt\)

= -(3/2 - π/2)                .........(From the graph of function f)

= π/2 - 3/2

Learn more about the function here:

https://brainly.com/question/28278699

#SPJ4

The complete question is:

Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above. Let g be the function given by \(g(x) = \int\limits^x_1 {f(t)} dt\)

Frin dthe values of g(2) and g(-2)

Answer:

when evaluate the function with the 1, then you get -2

and when evaluate with the 6, then you get 3/4

Step-by-step explanation:

the domain for this function is , [-3, 2) U (2, infinite)

The length of u to the nearest centimeter is about 30 cm.

We are given that;'

s = 730 cm, t = 270 cm and U=125°.

Now,

The Law of Cosines states that for any triangle with sides a, b and c and angle C opposite to side c, we have:

c2=a2+b2−2abcosC

To find c = u. Plugging in the values, we get:

u2=7302+2702−2×730×270×cos125°

Using a calculator, we get:

u2≈912.9

Taking the square root of both sides, we get:

u≈30.21

Rounding to the nearest centimeter, we get:

u≈30cm

Therefore, by the law of cosine the answer will be 30 cm.

To know more about law of cosine visit;

https://brainly.com/question/16886213?referrer=searchResults

#SPJ1

There are three sets of supplementary angles which are; m∠AFB and m∠EFB, m∠AFC and m∠EFC, and m∠AFD and m∠EFD.

If two angles add up to 180°, they are considered supplementary angles. We can observe the following angles which lie on a straight line to determine if they are supplementary.

m∠AFB = 55°

m∠EFB = 125°

55° + 125° = 180°

m∠AFC = 135°

m∠EFC = 45°

135° + 45° = 180°

m∠AFD = 145°

m∠EFD = 35°

145° + 35° = 180°

Therefore, we have three sets of supplementary angles which are; m∠AFB and m∠EFB, m∠AFC and m∠EFC, and m∠AFD and m∠EFD.

Know more about supplementary angles here:https://brainly.com/question/404323

#SPJ1

Answer:

121 km

Step-by-step explanation:

i added all the number together

Answer:

Step-by-step explanation:

Each gallon of 7% milk contains 0.07 gallon of butterfat.

Each gallon of 4% milk contains 0.04 gallon of butterfat.

291 gallons of 6% milk contain 291×0.06 = 17.46 gallons of butterfat.

Let x be the number of gallons of 7% milk used. 291-x is the number of gallons of 4% milk used.

0.07x + 0.04(291-x) = 17.46

0.03x + 11.64 = 17.46

x = 200

Use 200 gallons of 7% and 91 gallons of 4%.

Brooke's yard is a square with a side length of 22 meters.

Perimeter is the total distance around the outside edge of a two-dimensional shape. Perimeter is a measure of the length of the boundary of a shape and is typically expressed in units of length, such as feet or meters. Calculating the perimeter of a shape can help you measure the size of a yard, garden, or other outdoor area.

Since the perimeter of the part covered in gravel is 22 meters, we can use the formula for the perimeter of a square (4s) to find the length of one side of the square. Therefore, the side length of the part covered in grass is 4s = 22, or s = 5.5 meters.

Using the formula for the area of a square (A = s²), we can calculate the area of the grass section of Brooke's yard. The area of the grass section of Brooke's yard is A = s²= 5.5²= 30.25 square meters.

To know more about perimeter click-
https://brainly.com/question/19819849
#SPJ1

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Step-by-step explanation:

order

first C

second B

third E

fourth D

fifth A

last F