a department srore is ordering the fall line of shoes. which of the following statistical measurements would they use to determine what sizes they should order the most?

The cost of 2 orders of fries and 4 drinks is $5.68 and the cost to get f orders of fries and d drinks is $0.92f+0.96d

When something is calculated on its one unit, then it is called its unit rate. for example: If 5 mangoes is of $50 then cost of 1 mango is 50/5 = 10 here $10 is unit rate for mangoes.

Given that, At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96.

We have here unit rates of fries and drinks,

So, when 1 pack of fries costs $0.92, then cost of 2 pack of fries = 2×0.92 = $1.84

Similarly, when 1 drink costs $0.96, then the cost of 4 drinks = 4×0.96 = $3.84

Total cost = $5.68

Similarly, the cost to get f orders of fries = $0.92f

And, the cost of d drinks = $0.96d

Total cost =  $0.92f+0.96d

Hence, we get the answer as = a) $5.68 and b) $0.92f+0.96d

For more references on unit rates, click;

https://brainly.com/question/29781084

#SPJ1

The average score of all the students in both classes is 84.

step1

The class with 20 students had an average score of 90 on a test. The total score will be:

= 20× 90=1800

A class with 10 students had an average score of 80 on the same test. The total score will be:

=10× 80

= 800

A class with 4 students had an average score of 70 on the same test. The total score will be:

=4×70

=280

step2

Total scores = 1800 + 800+ 280=2880

Number of students = 20 + 10+4=34

The average score will be:

= Total score / Total students

= 2880/ 34=84

To learn more about average refers to;

https://brainly.com/question/29220030

#SPJ1

The average score of all the students in both classes is 84.

step1

The class with 20 students had an average score of 90 on a b. The total score will be:

= 20× 90=1800

A class with 10 students had an average score of 80 on the same test. The total score will be:

=10× 80

= 800

A class with 4 students had an average score of 70 on the same test. The total score will be:

=4×70

=280

step2

Total scores = 1800 + 800+ 280=2880

Number of students = 20 + 10+4=34

The average score will be:

= Total score / Total students

= 2880/ 34=84

To learn more about average refers to;

brainly.com/question/29220030

#SPJ1

Answer:

x=5

Step-by-step explanation:

5x-4+3x=36

combine lke terms

5x+3x-4=36

8x-4=36

    +4. +4

8x=40

/8.  /8

x=5

hopes this helps

The simplest radical form in terms of x is √x.

The radical in the question can be represented as

∛(x∛(x∛(x√(2&x)) ) )

The formula for rational exponents is:

√(n&a*b)=√(n&a)* √(n&b)

Hence,

∛(x∛(x∛(x√(2&x)) ) )

∛x*∛(∛(x∛(x√(2&x)) ) )

∛x*√(9&x∛(x√(2&x)) )

∛x*√(9&x)*√(9&∛(x√(2&x)) )

∛x*√(9&x)*√(27&x√(2&x))

∛x*√(9&x)* √(27&x)√(27&√(2&x))

∛x*√(9&x)* √(27&x)*√(54&x)

As, √(n&x)=x^(1/n)

Hence

x^(1/3)*x^(1/9)*x^(1/27)*x^(1/54)

According to multiplying exponent rules with the same base, x^a*x^b=x^(a+b)

Hence,

x^(1/3+1/9+1/27+1/54)

x^(27/54)

x^(1/2)

√x

Learn more about Radical:

https://brainly.com/question/28519153

#SPJ4

In a triangle, the three sides are related by the sum of two angles being equal to 180 degrees. Knowing two angles and a side can be used to calculate the other two angles and sides.

a) B = 43.7degrees, A = 44.8degrees, c = 21.1m

b) B = 44.5degrees, A = 43.9degrees, c = 12.1m

c) B = 44.5degrees, A = 43.9degrees, c = 21.5m

d) B = 57.6degrees, A = 25.4degrees, c = 33.9m

a) B = 180-97-44.8 = 180-97-44.8 = 38.2

A = 180-97-43.7 = 38.3

c = 21.1

b) B = 180-103-43.9 = 33.1

A = 180-103-44.5 = 32.5

c = 12.1

c) B = 180-103-43.9 = 33.1

A = 180-103-44.5 = 32.5

c = 21.5

d) B = 180-103-25.4 = 51.6

A = 180-103-57.6 = 19.4

c = 33.9

In order to solve the triangle, you need to use the Law of Sines and the Law of Cosines. The Law of Sines states that the ratio of the sides to their opposite angles is constant, while the Law of Cosines states that the sum of the squares of the sides of a triangle equal the square of the hypotenuse. Using these two laws, you can calculate the angles and side lengths of the triangle.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Using the given function in variable 'x', substitute x=y and y =x to find the inverse, The answer is y=-3x/4 +1/2.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The most common symbol for a function is an arrow with the letter "f" written above it (f: X → Y), where "X" is the set of inputs and "Y" is the set of outputs. A function assigns a unique output to each input, and the inputs and outputs can be any mathematical objects, such as numbers, vectors, or polynomials.

To find the inverse of a function, you first need to make sure that the function is invertible, which means that it has a unique inverse. A function is invertible if and only if it is a bijection, that is, it is both a function (meaning that it assigns a unique output to each input) and a surjection (meaning that every element of the output set is the image of at least one element of the input set) and an injection (meaning that no two different inputs have the same output). Once you have verified that the function is invertible, you can find its inverse by "reversing" the input and output.

f(x) = -4/3x+2/3

replacing input and output,

x = -4/3y + 2/3

3x-2 = -4y

y = -3x/4 + 1/2

To learn more about functions visit:

https://brainly.com/question/28193995

#SPJ1

The length of 'Added metal bar' will be;

⇒ Approximately 5.4 m

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

The sides of box are;

⇒ a = 4 meters

⇒ b = 2 meters

⇒ c = 3 meters

Now,

Let the length of Added metal bar = d

By the formula of 3D Pythagoras theorem, we get;

⇒ d² = a² + b² + c²

⇒ d² = 4² + 2² + 3²

⇒ d² = 16 + 4 + 9

⇒ d² = 29

⇒ d = √29

⇒ d = 5.38

⇒ d = 5.4 meters

Thus, The length of ''Added metal bar'' is ''Approximately 5.4 m''.

Learn more about the Pythagoras theorem visit:

brainly.com/question/343682

#SPJ1

The statements a, c and d are true.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

From the figure we understood that h is the height and r is the radius.

The volume of the cone is 1/3πr²h

V= 1/3πr²h

When volume is 47 then we need to find the height

47= 1/3π(3)²h

47=3×3.14h

47=9.42h

h=4.92=5

So if the volume is 47cm³ then the height of the cone is 5cm approximately is true

Now let us find the statement 2 is true or not

V= 1/3π(3)²(10)

V=3×3.14×10

V=94.2 cm³

So the second statement is not true

The equation V= 1/3π(3)²h is the volume of the cone and h=3V/π(3)² an be used to find the height of the cone is true.

Hence, the statements a, c and d are true.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

Answer:

Below

Step-by-step explanation:

The bottom will be   5 cubes (= 1 2/3  in)   X  6 cubes ( =2inches )

     = 5 x 6 = 30 cube layer

there will be  9 layers high ( 1/3 inch x 9  = 3 inches)

30 cubes/layer * 9 layers = 270 cubes

The values of the lengths of x and y in the triangle are x = 5.06 and y = 6.33

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

This means that

x + y = 11.4

The theorem of angle bisector states that:

"The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle"

This means that

a/b = x/y

In this case, we have

6.4/8 = x/y

So, we have

0.8 = x/y

Make x the subject

x = 0.8y

Substitute x = 0.8y in x + y = 11.4

0.8y + y = 11.4

Evaluate

1.8y = 11.4

Divide by 1.8

y = 6.33

Recall that

x = 0.8y

So, we have

x = 0.8 * 6.33

Evaluate

x = 5.06

Hence, the lengths are x = 5.06 and y = 6.33

Read more about triangles at

https://brainly.com/question/14285697

#SPJ1

Answer: 11,295,063

Step-by-step explanation:

The value of x for which JKLM is a parallelogram is 21

It is important to note that the sum of angles in a parallelogram is 360 degrees.

From the information given, we have that;

This is represented as;

JKL + KLM + LMJ + MJK = 360

substitute the values

4x + 13 + 4x - 1 + 5x - 8 + 3x + 20 = 360

collect like terms

4x + 4x + 5x + 3x = 360 - 24

Add or subtract like terms

16x = 336

Divide both sides by the coefficient of x

x = 336/16

x = 21

Hence, the value is 21

Learn more about parallelogram here:

https://brainly.com/question/10744696

#SPJ1

Answer:

$390

Step-by-step explanation:

780/2 = 390

Answer:

-8 + (-7) = -8 - 7 = -15

The sum of -8 and -7 is -15.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

Answer:

D' (1,4)

Step-by-step explanation:

D(4,1)  When reflecting over y = x, switch the x and y values.

Answer: C

Step-by-step explanation:

The volume of the rectangular prism is 5 inches cube.

A rectangular prism is a three-dimensional shape or figure. Therefore, the volume of a rectangular prism can be represented as follows:

volume of a rectangular prism = lwh

where

Therefore,

l = 2 1 / 2 inches = 5  /2 inches

w = 1 inches

h = 2 inches

Hence,

volume of the rectangular prism = 5 / 2 × 1 × 2

volume of the rectangular prism = 10 / 2

volume of the rectangular prism = 5 inches cube

learn more on rectangular prism here: https://brainly.com/question/21308574

#SPJ1

Answer:It is 30 cubic inches.

Step-by-step explanation:

There are 168 different outfits does Cai have to choose from.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Cai is trying to pick out an outfit for the first day of school.

And, He can choose from 2 pairs of pants, 3 t-shirts, 7 sweaters or hoodies, and 4 pair of shoes.

Now,

Since, He can choose from 2 pairs of pants, 3 t-shirts, 7 sweaters or hoodies, and 4 pair of shoes.

Hence, Number of possible outfits = 2 × 3 × 7 × 4

                                                      = 168

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

C)  Portfolio 1, Portfolio 2, Portfolio 3

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Weighted Mean Formula}\\\\$ \overline{x}=\dfrac{\displaystyle\sum^{n}_{i=1}x_iw_i}{\displaystyle\sum^{n}_{i=1}w_i}$\\\\\\where:\\\phantom{ww} $\bullet$ $x_i$ is the data value\\\phantom{ww} $\bullet$ $w_i$ is the weight\\\end{minipage}}[/tex]

To calculate the weighted mean of the RoR for each portfolio:

Portfolio 1

[tex]\implies \overline{x}=\dfrac{1250 \cdot 0.039+575 \cdot 0.017 + 895 \cdot .0106 + 800 \cdot -0.032 + 1775 \cdot 0.081}{1250+575+895+800+1775}[/tex]

[tex]\implies \overline{x}=\dfrac{271.57}{5295}[/tex]

[tex]\implies \overline{x}=0.051288075...[/tex]

[tex]\implies \overline{x}=5.13\%\;\; \sf (2 \;d.p.)[/tex]

Portfolio 2

[tex]\implies \overline{x}=\dfrac{950\cdot 0.039+2025\cdot 0.017 + 1185\cdot .0106 + 445\cdot -0.032 + 625\cdot 0.081}{950+2025+1185+445+625}[/tex]

[tex]\implies \overline{x}=\dfrac{233.47}{5230}[/tex]

[tex]\implies \overline{x}=0.0446405353...[/tex]

[tex]\implies \overline{x}=4.46\%\;\; \sf (2 \;d.p.)[/tex]

Portfolio 3

[tex]\implies \overline{x}=\dfrac{900\cdot 0.039+2350\cdot 0.017 + 310\cdot .0106 + 1600\cdot -0.032 + 2780\cdot 0.081}{900+2350+310+1600+2780}[/tex]

[tex]\implies \overline{x}=\dfrac{281.89}{7940}[/tex]

[tex]\implies \overline{x}=0.0355025188...[/tex]

[tex]\implies \overline{x}=3.55\%\;\; \sf (2 \;d.p.)[/tex]

The RoR (rate of return) is the net gain (or loss) of an investment over a specified time period, expressed as a percentage of the investment's initial cost.

Therefore, based on the weighted means of the RoRs for each portfolio, the best to worst portfolios are:

(as Portfolio 1 has the highest RoR and Portfolio 3 has the lowest RoR).

You are requested to provide an estimate of the building's total window cleaning expense so that the board can make a decision.

Some window cleaners charge by the hour, though the majority bill by the square foot or the number of windows. For home work, professionals bill between $40 and $75 per hour.

Due of the increased safety dangers in high-rises, they usually charge $85 per hour. Many cleaners may charge by the pane if the house is medium-sized, anything from $2 to $7 for each one or more for larger windows. It's typical to charge an hourly rate in large homes when counting each window by itself would take too long or be impossible.

Window cleaning costs typically run between $40 and $75 per hour. If the house is medium-sized, many cleaners may charge per the pane; for larger windows, they may charge anywhere from $2 to $7 for each one or more.

To learn more about window cleaning expense can make a decision refer to:

https://brainly.com/question/23936619

#SPJ1

You are requested to provide an estimate of the building's total window cleaning expense so that the board can make a decision.

Some window cleaners charge by the hour, though the majority bill by the square foot or the number of windows. For home work, professionals bill between $40 and $75 per hour.

Due of the increased safety dangers in high-rises, they usually charge $85 per hour. Many cleaners may charge by the pane if the house is medium-sized, anything from $2 to $7 for each one or more for larger windows. It's typical to charge an hourly rate in large homes when counting each window by itself would take too long or be impossible.

Window cleaning costs typically run between $40 and $75 per hour. If the house is medium-sized, many cleaners may charge per the pane; for larger windows, they may charge anywhere from $2 to $7 for each one or more.

To learn more about window cleaning expense can make a decision refer to:

brainly.com/question/23936619

#SPJ1

Using Pythagoras theorem to solve the right angle triangle formed between the astronaut and the earth, his distance 6412.5km

Pythagorean Theorem, states the square of the hypotenuse in a right angle triangle is equal to the sum of the squares of the other two sides. In the equation x² = y² + z², where x is the hypotenuse and y and z are the other two sides.

To find the distance of the astronaut from the space center, the height of the space center and his current location forms a right angle triangle.

We can find the distance as;

x² = y² + z²

z = radius of earth = 12800 / 2 = 6400km

x² = 6400² + 400²

x² = 41120000

x = √41120000

x = 6412.5km

The astronaut location from the earth is 6412.5km

Learn more on Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ1

Answer:

43

133

Step-by-step explanation:

Complementary means that the two angles added together equal 90

90 - 47 = 43

Supplement means that the two angels added together equal 180

180 -47 = 133

The estimated arrival time of the train in San Diego is 4:16 PM.

To find the arrival time, we must add the length of the trip to the starting time.

The trip is 4 hours and 26 minutes long, so we must add 4 hours, which is equivalent to 240 minutes, and 26 minutes to the starting time of 11:50 AM.

This results in a final time of 4:16 PM.

The simplified inequality for this problem is given as follows:

0.65x - 0.35y + 0.65z ≥ 0.

Hence the value of A is of:

0.65.

The inequality for this problem is defined as follows:

(x + z)/(x + y + z) ≥ 0.35.

Cross multiplication would work in this case, as the right term is a constant, however if it was a rational expression it would not work.

Thus the first step is leaving the right side as 0, as follows:

(x + z)/(x + y + z) - 0.35 ≥ 0.

Then the least common factor is applied to the left side, as follows:

[x + z - 0.35(x + y + z)]/(x + y + z) ≥ 0.

Applying the distributive property and combining the like terms, we have that:

(0.65x - 0.35y + 0.65z)/(x + y + z) ≥ 0.

Now cross multiplication can be applied, hence the simplified inequality is:

0.65x - 0.35y + 0.65z ≥ 0.

The coefficient A has a value of 0.65, which is the term that multiplies x.

More can be learned about simplifying expressions at https://brainly.com/question/723406

#SPJ1

One thing that is wrong with Sana's statement is that it is repetitive as negative three degrees Celsius is already below zero.

When temperature is measured in degrees Celsius then it means that there are temperatures above 0 degrees Celsius and those that are below it. Those temperatures above 0 degrees Celsius are positive temperatures and those below zero degrees Celsius are negative.

These negative temperatures are used for places that are very cold and the colder a place is, the lower the temperature will be below zero. This therefore means that saying a temperature is negative and saying it is below zero is the same thing.

This means that Sana was wrong to say, " temperature is negative three degrees below zero " as they could have either said that the temperature was 3 degrees below zero or negative 3 degrees Celsius.

Find out more on temperature at https://brainly.com/question/26141817

#SPJ1

Answer:

270 m^2

Step-by-step explanation:

formula for area of a triangle is base times height divided by 2

(30)x(18)÷2

30x9

270 m^2

hopes this helps

Answer: Two correct representations of the inequality -3(2x - 5) < 5(2 - x) are:

-6x + 15 < 10 - 5x

-6x + 15 < -5x + 10

Both of the above are correct because they are equivalent to the original inequality.

Note that in order to get the above representation, I first applied distributive property on both sides of the inequality and then combined like terms on both sides.

Step-by-step explanation:

Answer:

663

Step-by-step explanation:

5967/9=663

Answer:

663

Step-by-step explanation:

        663

9 l 5967

    -54

        56

        -54

           27

          -27

           0

hopes this helps