You are the manager at an amusement park. The park's maximum capacity is 4500 people. You have also worked out that there needs to be 2800 people in the park to make a profit after all the overhead costs and employee pay. If people are entering the park at a rate of 12 people a minute and there are 850 people in the park currently, between how many minutes should the door stay open to let guests in?

Answers

Answer 1

Answer:

if you need the compound equality it is 2800 ≤ 850 + 12m ≤ 4500

Step-by-step explanation:

m= minutes 2800 is the minimum 4500 is the maximum 850 is from the people already in the park and 12m came from the people coming in per minute so i multiplied the 12 by m


Related Questions

Which statement is true?

Answers

Answer:

B I think

Step-by-step explanation:

Gavin wrote the equation p = StartFraction 3 (s + 100) Over 4 EndFraction to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Answers

Answer:

[tex]s = \frac{4p}{3} -100[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{3(s + 100)}{4}[/tex]

Required

Solve for s

[tex]p = \frac{3(s + 100)}{4}[/tex]

Multiply both sides by 4

[tex]4 * p = \frac{3(s + 100)}{4} * 4[/tex]

[tex]4 * p = 3(s + 100)[/tex]

[tex]4p = 3(s + 100)[/tex]

Open bracket

[tex]4p = 3s + 300[/tex]

Subtract 300 from both sides

[tex]4p -300= 3s + 300 -300[/tex]

[tex]4p -300= 3s[/tex]

Divide both sides by 3

[tex]\frac{4p -300}{3}= \frac{3s}{3}[/tex]

[tex]\frac{4p -300}{3}= s[/tex]

[tex]s = \frac{4p -300}{3}[/tex]

Split

[tex]s = \frac{4p}{3} -\frac{300}{3}[/tex]

[tex]s = \frac{4p}{3} -100[/tex]

Answer: b

Step-by-step explanation:

i just did it and got it right

What is the volume of a cylinder that has the same diameter as a
sphere with a volume of 14 u3, in u3?

help lol

Answers

Answer:

U4

Step-by-step explanation:

i will brainliest you please help with last question:) :(​

Answers

Answer:

663 and 366 are both right

Step-by-step explanation:

Which triangle congruency theorem can b used to prove the triangles are congruent?? :))))

Answers

Answer:

1. SSS

Step-by-step explanation:

AB = AC

BD = BD

AD = AD

How many grams are in 4.5 moles of Fe?

Answers

Answer:

Step-by-step explanation:

: The mass of 4.5 moles of sodium fluoride is 189g

You can view more details on each measurement unit: molecular weight of Fe or grams The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Fe, or 55.845 grams.

Answer:

252g

Step-by-step explanation:

1 mole of fe =56g

therefore 4.5 moles = 4.5×56

=252g

please help will give brainliest for the answers need help

Answers

Answer:

I really cant find one...Ive tried all of them on the clacutaor but the closest one seems to be number 4

Step-by-step explanation:

5) Write the expression as a product of two factors.
12x + 18y - 60
a) (2x + 3y - 60)
b) (x + y)(12 + 18 - 60)
c) 6(2x + 3y - 10)
d) (12x + 18y)(-60)

Answers

Answer:

c) is the right answer.

Step-by-step explanation:

The Skills needed are: GCF, Division, and Factoring

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

HELP ASAP PLEASE (20 points)
An open-topped box is to be created from a 100 cm by 80 cm piece of cardboard by cutting out a square of side length x from each corner.

a) Write an expression for the volume of the box in terms of x.
b) Write an expression for the surface area of the open-topped box in terms of x.
c) Write a simplified expression of the ratio of the volume of the box to the surface area.
d) Refer to your answer in part (c). State the restrictions on x

Answers

I’m pretty sure it’s b) I’m sorry if I’m wrong

a) Volume = x(100 - 2x)(80 - 2x).

b) Surface Area = (100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x).

c) Ratio = x(100 - 2x)(80 - 2x) / [(100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x)].

d) Restrictions: 0 < x ≤ 40 and x < 50. (Positive dimensions, non-zero volume, and avoiding non-physical dimensions)

a) The box will have a height of x and a base of (100 - 2x) cm by (80 - 2x) cm.

Thus, the expression for the volume of the box in terms of x is:

Volume = x × (100 - 2x) × (80 - 2x)

b) To find the surface area of the open-topped box,

consider the area of the bottom (100 - 2x) × (80 - 2x) and the four sides.

The sides have a width of x and a length of 100 - 2x or 80 - 2x, so the surface area expression is:

Surface Area = (100 - 2x) × (80 - 2x) + 4x × (100 - 2x) + 4x × (80 - 2x)

c) To find the ratio of the volume to the surface area,

divide the volume expression by the surface area expression:

Ratio = Volume / Surface Area

Ratio = [x × (100 - 2x) × (80 - 2x)] / [(100 - 2x)× (80 - 2x) + 4x × (100 - 2x) + 4x ×(80 - 2x)]

d) To identify restrictions on x, consider practical aspects of the box.

The value of x must be positive since we're cutting squares from the corners.

Also, the value of x cannot exceed half the length of the sides

(100/2 = 50 and 80/2 = 40)

because if x is greater than half, then the box will have a negative or zero dimension, which is not meaningful. So, the restrictions are:

0 < x ≤ 40 (to ensure positive dimensions and non-zero volume)

x < 50 (to avoid non-physical dimensions)

learn more about Volume here

brainly.com/question/28210642

#SPJ2

5. What is the answer of X= (4^2)*6*
1 point
72
96
82
84

Answers

Answer:

B, 96

Step-by-step explanation:

All you have to do is simplify both sides of the equation.

ill be putting 20 points into this so please help-​

Answers

Answer:

the exponent is 3^-10

so its the first one the fourth and i think the fifth too

Answer:

A, D

I hope this works for you

how to convert x=2/3y+8 to y=mx+b

Answers

Y=3/2x-12 is what it would be in y=mx+b

4(х +Зу) = 2(3х-y)
Solve for x

Answers

Answer:

7y

Step-by-step explanation:

use distributive property:

4x+12y=6x-2y

2x=14y

x=7y

Evaluate the function.

f(x)=−3x²+9x−8

find f(5)

Answers

Answer:

f(5) =  -38

Step-by-step explanation:

Given the function

f(x)=−3x²+9x−8

Evaluating the function

f(x)=−3x²+9x−8

f(5) = −3(5)²+9(5)−8

f(5) = -75+45-8

f(5) = -38

Therefore, we conclude that:

f(5) =  -38

answer all please i need help

Answers

4.AR
6.is angle B
7.KB

Plzz help in 3rd part of question 3​

Answers

Answer:

X=28/9, Y=7/5

Step-by-step explanation:

By using Elimination method

Multiply equation 1 by 9 and equation 2 by 3/2

There you get those values listed above for x and y

CAN SOMEONE LS HELP WITHT THIS ASAP PLEASE

Answers

Answer:

x = 10

y = 20

Step-by-step explanation:

Hope this hepls you.

(5f − 3) (–2)

help me plz lolz

Answers

Answer:

Step-by-step explanation:

(5f-3)(-2)

-10f + 6 = 0

f= 6 + 10

f = 16

The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'. Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is 5. The length of B B prime is 15. What is the perimeter of ΔA'B'C'? 13 cm 26 cm 39 cm 52 cm

Answers

Answer:

39 cm

Step-by-step explanation:

Given

ΔABC and ΔA'B'C'

B = 5 cm

B' = 15 cm

Perimeter ΔABC = 13 cm

Required

Determine the perimeter of ΔA'B'C

[Since ΔABC is dilated to give ΔA'B'C', the first step is to get the scale factor.]

Scale Factor = ΔA'B'C ÷ ΔABC

[Using side B and B' as points of reference]

Scale Factor = B' ÷ B

[Substitute values for B' and B]

Scale Factor = 15 ÷ 5

Scale Factor = 3

[The perimeter of ΔA'B'C' is then calculated as:]

Perimeter ΔA'B'C'= Scale Factor * Perimeter of ΔABC

ΔA'B'C = 3 * 13 cm

ΔA'B'C = 39 cm

Answer: 52

Step-by-step explanation:

Edge 2023

please help. I don't understand this problem. ​

Answers

The fifth term is -6075

write as single power of 3?

(3^-9)^6​

Answers

Answer:

The single power of 3 is 3 ^ -54.

Hope it will help :)❤

Answer:

[tex]3^{-54}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](3^-9)^{6}[/tex]

= [tex]3^{(-9(6))}[/tex]

= [tex]3^{-54}[/tex]

Plz help im stuck on this question

Answers

a) The foxes distance starts decreasing from 3 seconds to 6 seconds, since the line is coming down as time increases.
b) the fox is still from 2 seconds to 3 seconds, since the line is flat.
c) let’s look at the slope of the four intervals.

From 1 to 2, the distance increases to 4. The slope is 4/2 = 2.
From 2 to 3, the distance doesn’t change. The slope is 0.
From 3 to 5, the distance decreases to 3. The slope is -1/2.
From 5 to 6, the distance decreases to 0. The slope is -3, which is the greatest magnitude, therefore the fox is moving fastest.

The question is in the picture

- I could really use some help !! Thank you so much !!

Answers

Answer:

Could you retake the photo plz so i can see the full question and answer choices

Step-by-step explanation:

Find the area of each figure. Use 3.14 for pi.

Answers

so you know the how to find the area for a saquare A=a*b first we have to find the area for a circle 10*10=100 A=100cm (2) is the area for our circle

so we have half of the circle so formula for that is A=(πr(2))/2 we know the radius is 5 A=3.14*25/2

A=78.5/2 reason why we are dividing by this number to 2 because we have half of the circle A=39.25 then add two areas together A=100+39.25=....

I need the answers for both a and b so thats why 61 points are up for grab

Answers

Answer:

Step-by-step explanation:

From the picture attached,

a). Triangle in the figure is ΔBCF

b). Since, [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and m is a transversal line,

   m∠FBC = m∠BFG [Alternate interior angles]

   Since,  [tex]L_1[/tex] and [tex]L_2[/tex] are the parallel lines and n is a transversal line,

   m∠BCF = m∠CFE [Alternate interior angles]

   By triangle sum theorem in ΔBCF

   m∠FBC + m∠BCF + m∠BFC = 180°

   From the properties given above,

   m∠BFG + m∠CFE + m∠BFC = 180°

   m∠GFE = 180°

Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.

A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water

3 minutes later, swimming in the same direction at 134 meters per minute. Which parametric equations could model

the swimmers' paths from the time the first swimmer entered the water?

Answers

Answer:

[tex]x(t) = 54t[/tex]  and [tex]y(t) = 134(t - 3)[/tex]

Step-by-step explanation:

Represent the swimmers with A and B

For Swimmer A:

[tex]Rate = 54m/min[/tex]

For Swimmer B:

[tex]Rate = 134m/min[/tex]

Required:

Write a parametric equation

For Swimmer A:

If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes

So, the function is:

[tex]x(t) = 54t[/tex]

For Swimmer B:

If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.

If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)

So, the rate is:

[tex]y(t) = 134(t + 3)[/tex]

Hence, the parametric functions are:

[tex]x(t) = 54t[/tex] and

[tex]y(t) = 134(t - 3)[/tex]

Answer:

A on Edge

Step-by-step explanation:

can somebody help me ?

Answers

Okay listen the answer is yes. Because it is going by 10. I don’t know how to like write it down for you just to copy

Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of ?

Answers

Answer:

P = 4w + 8

Step-by-step explanation:

Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let w stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of w?

Perimeter of the rectangle = 2(L +w)

L is the length of the rectangle

w is the width

If the length is 4 inches longer than its width, then;

l = w + 4

Substitute into the expression;

P = 2 (L+w)

P = 2(w+4+w)

P = 2 (2w+4)

P = 4w + 8

Hence the perimeter of the map in terms of w is P = 4w + 8

What is an equation of the line that passes through the point (−1,4) and is parallel to the line 2x+y=1?

Answers

Answer:

y=-2x+2 (if you need it in y-intercept form)

2x+y=2 (if you need it in standard form)

Step-by-step explanation:

1. Write the original line in y=mx+b form. In other words, get the y by itself on the left side of the equation.

Subtract 2x from both sides.

y=-2x+1

2. Recall that parallel lines have the same slope. Slope is always the number with the x in the equation. Since the slope in the first equation is -2, the slope of the new line will also be -2.

3. Find the y-intercept. Use the point (-1,4) and plug the y and x values into the point-slope formula. M represents the slope.

y-y1=m(x-x1)

y-4=-2(x+1)

Simplify the equation.

y-4=-2x-2

y=-2x+2

(Proceed to step 4 if you need it in standard form)

4. Write the equation in standard form (x+y=z). Z represents the number by itself without variables.

Add -2x to both sides

2x+y=2

Answer:

An of line that passes through the point (−1,4) and is parallel to the line will be:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

2x+y=1

converting the line into slope-intercept form

y = -2x+1

comparing with the slope-intercept form of the line equation

The slope of the line = m = -2

We know that the parallel lines have the same slopes.

Thus, the slope of line that passes through the point (−1,4) and is parallel to the line will be: -2

using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -2 and the point (-1, 4)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-2\left(x-\left(-1\right)\right)[/tex]

Add 4 to both sides

[tex]y-4+4=-2\left(x+1\right)+4[/tex]

[tex]y=-2x+2[/tex]

Therefore, an of line that passes through the point (−1,4) and is parallel to the line will be:

[tex]y=-2x+2[/tex]

how to Simplify 6/8

Answers

Answer:

3/4

Step-by-step explanation:

in order to simplify divide the numerator and denominator by the greatest Common Factor or both numbers... in this case the numbers are 6 and 8

6: 1,2,3,6

8:1,2,4,8,

as you can see the GCF is 2... so you divide 6 by 2 nd 8 by 2

6/2= 3

8/2=4

since 6 in ur numerator the quotient is 3 so the number 3 goes on the top

3/4

Answer: 3/4 or .75

Explanation:

you divide the denominator and numerator by 2

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