A group of 40 people went to the theme park. While there, each person bought popcorn. Regular bags of popcorn sold for $6 per bag. Super size sold for $8 per bag

Answer:

should be about 86

Step-by-step explanation:

multiply 11 by seven and then add nine because thats what you had originally.

we multiply because in those seven minutes we're constantly adding more pencils so instead of adding, multiplication is the easiest to do

9+(7x11)

Answer:

Step-by-step explanation:

Given that a storage rack has dimensions as 25x12x5 ft.

Box has dimensions as 15x8x10 inches

Volume of each box = 15(8)(10) = 1200 inches = 1200x12^(-3) feet^3

Volume of 5000 boxes = 5000 (1200x12^(-3) ) = 3472.22 cubic feet

Volume of storage rack = 25(12)(5) = 1500 cubic feet

Volume of 25 storage racks 1500(25) = 37500 cubic feet.

SInce storage racks have sufficient volume it is concluded that enough storage is there.

Answer:

Yes, we have enough storage space.

Step-by-step explanation:

25 storage racks that are:

Length: Lsr = 25 ft = 25 ft (12 in / 1 ft) → Lsr = 300 in

Width: Wsr = 3 ft = 3 ft (12 in / 1 ft) → Wsr = 36 in

Height: Hsr = 12 ft = 12 ft (12 in / 1 ft) → Hsr = 144 in

5000 boxes 15x8x10 in

Length: Lb = 15 in

Width: Wb = 8 in

Height: Hb = 10 in

In the length of each storage rack we can put:

Nl=Lsr/Lb=300 in / 15 in → Nl = 20

In the width of each storage rack we can put:

Nw=Wsr/Wb=36 in / 8 in = 4.5 → Nw = 4

In the height of each storage rack we can put:

Nh=Hsr/Hb=144 in / 10 in = 14.4 → Nh = 14

Then we can put in each storage rack:

N = Nl Nw Nh = (20)(4)(14) → N=1,120 boxes

And we have 25 storage racks, then we can storage in total:

Nt=25N=25(1,120)→Nt=28,000 boxes

And we have 5,000 boxes, then we have enough storage space

Answer:

Perpendicular!

Step-by-step explanation:

If they were parallel they would have the exact same slope. If they are perpendicular their slopes would be opposite reciprocals of each other... which they are. Another trick to tell if two slopes are perpendicular is to multiply them by each other and if the answer equals -1 they are perpendicular:

7/8 • -8/7 = -1/1 = -1

Answer:

x = -8.75; x = 7.25

Step-by-step explanation:

                                                         2(x + ¾)² - 5 = 123

The graph of your equation is a parabola with x-intercepts at x = -8.75

and x = 7.25.

The list of steps, in order, that will solve the equation is:

The given expression is raised to a power of 2, so we can say that the given expression is a quadratic equation.

A quadratic equation is a form of an algebraic expression in which the variable is usually raised to the power of its second degree.

From the parameters given:

[tex]\mathbf{2(x + \dfrac{3}{4})^2 -5 = 123 }[/tex]

[tex]\mathbf{2(x + \dfrac{3}{4})^2 -5 +5 = 123+5 }[/tex]

[tex]\mathbf{2(x + \dfrac{3}{4})^2 = 128}[/tex]

[tex]\mathbf{\dfrac{2(x + \dfrac{3}{4})^2 }{2} =\dfrac{ 128}{2}}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4})^2 = 64}[/tex]

[tex]\mathbf{\sqrt{(x + \dfrac{3}{4})^2} =\sqrt{ 64}}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4})} =\pm8}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4} - \dfrac{3}{4}) }\mathbf{= \pm 8-\dfrac{3}{4}}[/tex]

[tex]\mathbf{x= \pm 8-\dfrac{3}{4}}[/tex]

[tex]\mathbf{x= +8-\dfrac{3}{4} \ \ OR \ \ x= -8-\dfrac{3}{4}} [/tex]

[tex]\mathbf{x=7.25 \ \ OR \ \ -8.75} [/tex]

Learn more about quadratic equations here:

https://brainly.com/question/17210919

Answer:

(x, y) = (4, 5)

Step-by-step explanation:

given the 2 equations

x = 2y - 6 → (1)

y = - 3x + 17 → (2)

Either substitute x = 2y - 6 into (2) or y = - 3x + 17 into (1)

substituting y = - 3x + 17 into (1)

x = 2(- 3x + 17) - 6

x = - 6x + 34 - 6

x = - 6x + 28 ( add 6x to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

substitute x = 4 into (2)

y = - 12 + 17 = 5

solution is (4, 5 )

Answer:

So you are going to take the total cost and divide it by the amount

Step-by-step explanation:

23.97/3=7.99

Hope that helps feel free to ask more questions

Brainliest??

Answer:

2. y = x + 16; 0.21y = 0.27x + 2.88

Step-by-step explanation:

You have two conditions:

For the first condition,

16 + x = y     Transpose

(1)    y = x + 16

=====

For the second condition

  V₁c₁    +  V₂c₂  =  V₃c₃

16×0.18 + 0.27x = 0.21y

   2.88 + 0.27x = 0.21y               Transpose

(2)           0.21y = 0.27x + 2.88

The system of equations is y = x + 16; 0.21y = 0.27x + 2.88

Answer: I'm not really sure how to shrink the number to the top but in word form it would be 10 to the power of 4.

To find the average speed of the plane, divide the total distance traveled, which is 3,360 miles, by the total time of the journey, which is 6 hours, resulting in an average speed of 560 miles per hour.

The student's question involves calculating average speed, which is a concept in Physics, specifically within the topic of kinematics. To find the average speed of the plane you would use the formula:

average speed = total distance / total time

In this case, the plane travels 3,360 miles in 6 hours, so the calculation would be:

average speed = 3,360 miles / 6 hours = 560 miles/hour

This calculation demonstrates how to determine the average speed of an object in motion when given the total distance traveled and the total time taken. This concept is analogous to determining the average speed in other examples, such as a car journey or a train trip.

Answer:

The only correct answer is the second one, that the three in the tenths place is 10 times the amount in the 100ths place.

Step-by-step explanation:

The others are all wrong because the further the place, the less the value, so they cannot be ANY times the amount of a place closer to the decimal.

Answer:

The slope is found by the change in Y over the change in x.

Using the given points:

The change in Y = -8 - 4 = -12

The change in x = 2 - -6 = 2 +6 = 8

The slope is -12/8

Both the numerator and denominator can be divided by 4

-12/4 = -3

8/4 = 2

The slope = -3/2

40% helping customers + 13% doing paper work = 53% of his time.

This means 100% - 53% = 47% of his time he is doing other tasks.

You would vertically shift the function up a unit, making it clear that the answer should be graph 3.

Use the image below, red is the original function, and blue is the new function.  

Answer: 4 km/hr and 6 km/hr

Step-by-step explanation:

A runner = 4km/hr

A runner covered distance after 3 hours = 12 km

B runner = 6km/hr

B runnet covered distance after 3 hours = 18 km

Total distance = 12 + 18 = 30km

Answer:

C (1.38)

Step-by-step explanation:

The graphed function has the slope 4/3, which is obvious:  As x increases from 0 to 1.5, y increases from -2 to 0.  Thus, m = rise / run = 2/1.5 = 4/3.

Which of the given functions have greater rates of change than 4/3?  These include A (1.86), B (1.4), C (1.38), E (1.67).  Of these, C has the lowest rate of change (1.38).

The lowest rate of change of the function is y = 11/8x + 3/8. The correct option is C.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

The graphed function has a slope of 4/3, which is obvious:  As x increases from 0 to 1.5, y increases from -2 to 0.  Thus, m = rise / run = 2/1.5 = 4/3.

Which of the given functions has greater rates of change than 4/3?  These include A (1.86), B (1.4), C (1.38), E (1.67).  of these, C has the lowest rate of change (1.38).

Therefore, the lowest rate of change of the function is y = 11/8x + 3/8. The correct option is C.

To know more about a function follow

https://brainly.com/question/24748644

#SPJ2

Answer:

Population of town in Year 2010 is 3476.

Step-by-step explanation: Formula for the Population after t years is given by   P(t) = P (1-i/100)^n

        where P is initial population.

Here in question P is initial population.

If we compare the equation given in the question to the problem equation

we have P = 3476 , which is initial population.

Answer:

The population of the town in 2010 is 3476.

Step-by-step explanation:

Answer:

Pia

Step-by-step explanation:

The smaller the number of pencils in a bundle the greater the number of  bundles.

For example if the number of pencils each has is 60,

Then the number of bundles for Pia = 60/10 = 6,

and    ...................................................Gauri  = 60/12 = 5,

and   .....................................................Yasmin = 60/20 = 3.

Answer:

Pia

Step-by-step explanation:

Answer:

As a fraction, the answer is 5/2

In decimal form, the answer is 2.5

=====================================

Explanation:

The triangles are similar (AA similarity property) so we can solve the proportion below

x/3 = 5/6

6*x = 3*5

6x = 15

x = 15/6

x = 5/2

x = 2.5

Answer:

400 divided by 5 is how you get the answer.

Step-by-step explanation:

400 / 5 = 80

80 batches of soup.

Answer:

[tex]y=250(5)^x[/tex]

Step-by-step explanation:

The growth of a population of bacteria can be represented by exponential growth function,

[tex]y=a(1+r)^x[/tex]

where,

y = the population of the bacteria after x hours,

x = the number of hours,

a = initial population of bacteria,

r = rate of growth,

At the beginning the number bacteria was 250 and the population of bacteria quadruples every hour i.e rate of growth is 400% or 4 per hour.

Putting all the values,

[tex]y=250(1+4)^x[/tex]

[tex]\Rightarrow y=250(5)^x[/tex]

Alicia runs 8 miles in 6 days. By setting up a proportion, it's calculated that it will take her 27 days to run 36 miles at the same rate.

Calculating Days Needed to Run a Total Distance:

Alicia runs 8 miles in 6 days. To find out how many days it will take her to run 36 miles, we can set up a proportion. Since the number of days is directly proportional to the miles run, we can use the equation:

8 miles / 6 days = 36 miles / x days

By cross-multiplying, we get:

8 miles * x days = 6 days * 36 miles

x = (6 days * 36 miles) / 8 miles

The miles cancel out, leaving us with:

x = 216 / 8

x = 27 days

Therefore, it will take Alicia 27 days to run a total of 36 miles if she continues running at the same rate.

Answer:

6+2d

Step-by-step explanation:

An algebraic expression for 'six more than the quantity d times two' is written as 2d + 6, which represents the multiplication of d by two, followed by the addition of six.

To write an algebraic expression for "six more than the quantity d times two," you first perform the multiplication and then add six.

The quantity d times two is expressed as 2d. Then, to represent "six more" than this quantity, you add six to the product, which is written as [tex]2d + 6[/tex].

The greatest number of sets of pens and pencils that can be made, using all of the given 28 pens and 80 pencils in each set, is 4. Each set would contain 7 pens and 20 pencils.

In the problem, we are looking to find the Greatest Common Divisor (GCD), which is the greatest number that can evenly divide both the number of pens (28) and the number of pencils (80). The GCD between 28 and 80 is 4.

Thus, the most sets of pens and pencils you can make would be equal to the GCD, which in this case is 4.

This means you can put together 4 sets with an equal number of pens and pencils in each set. In each of these sets, there would be 7 pens (28 pens ÷ 4 sets) and 20 pencils (80 pencils ÷ 4 sets).

https://brainly.com/question/32851476

#SPJ1

Final answer:

To maximize the number of sets with 28 pens and 80 pencils, find the greatest common divisor and divide the total by it. You can create 27 sets of 4 pens and 10 pencils each.

Explanation:

To find the greatest number of sets you can make with 28 pens and 80 pencils, you need to determine the highest common factor of the two quantities.

Calculate the greatest common divisor (GCD) of 28 and 80, which is 4.

Divide the total number of pens and pencils by the GCD: (28 + 80) ÷ 4 = 27.

You can make 27 sets, each consisting of 4 pens and 10 pencils.

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=3(x-3) \\\\\\ y-1=3x-9\implies y=3x-8[/tex]

To determine the number of artists who showed only sculptures or paintings at the art fair, we use the formula for the principle of inclusion-exclusion, resulting in 61 artists.

To find out how many artists showed only sculptures or paintings at the art fair, we apply the principle of inclusion-exclusion. First, we add the number of artists who showed sculptures (25) to those who showed paintings (48), which gives us a total of 73 artists. However, this counts the 12 artists who showed both sculptures and paintings twice, so we subtract 12 from this total to correct for the double counting. Therefore, the number of artists who showed only sculptures or paintings is 73 - 12, which equals 61 artists.

Answer:

19 percent

Step-by-step explanation: First we need to convert them all the a similar format. Fractions would be easiest.

.22 = 22/100

1/5 = 20/100

19% = 19/ 100

The one that contains the least is 19/100 or 19%.

[ Answer ]

2 / 3

[ Explanation ]

1 * 8 / 4 * 3

8 / 12

Simplify:

2 / 3

<> Arsenal <>

Answer:

(x - 2)*(x - 1) is the answer

Step-by-step explanation:

We have to divide the polynomial f(x) = x^{3}-8x^{2}+17x-10 by (x-5).

Now, after dividing f(x) gets simplified into (x-5)*(x^{2}-3x+2).

So, we need to factorize the quadratic equation x^{2}-3x+2.

i.e. x^{2} - 3x + 2 = x^{2} - x - 2x + 2 = x(x-1) - 2(x-1) = (x - 2)*(x - 1)

Therefore, f(x) again gets simplified into (x-5)*(x - 2)*(x - 1)

Now eliminating the common factor (x-5).

We get, [tex]\frac{x^{3}-8x^{2}+17x-10}{x-5}[/tex] = (x - 2)*(x - 1)

Answer:

[tex]x^{2}-3x+2[/tex]

Step-by-step explanation:

Use synthetic division.

5 |  1    -8    17    -10

   +     5    -15    10

      1   -3     2     0

The quotient is [tex]x^{2} -3x+2[/tex].