The amount of time operators of a popular amusement park ride spend loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes), write an inequality to describe how many cycles of the ride, at most, can be completed on a Saturday. Explain each term in your inequality.

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Answers

Answer 1

Answer:

200 + 3x + 5x ≤ 720

(or simplified, 200 + 8x ≤ 720)

and x = 65

Step-by-step explanation:

x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

Answer 2

The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.

Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),

The inequality will be written as below,

200 + 3x + 5x ≤ 720

Here, x represents the number of rides

3 + 5 = 8

720-200 = 520

520/8 = 65

Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.

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Related Questions

Find the GCF of the set of numbers.

8 and 12
Enter the correct answer in the box.

Answers

Answer:

4

Step-by-step explanation:

prime factorization of 8 is 2x2x2

prime factorization of 12 is 2x2x3

2x2 are the only common factors, therefore GCF is 4

Answer:

4 is the GCF

Step-by-step explanation:

12/4 = 3

8/4 = 2

What is a quarter of 2770?

Answers

Answer:

692.5

Step-by-step explanation:

Answer:

it's 692.5

I hope it's right

What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

Help me with this question please!! Show all work

Answers

Answer:

439

Step-by-step explanation:

The denominator simplifies to 106/15

The question becomes

3+1/(106/15)=3+15/106=333/106

Therefore m+n=439

I’ll give brainliest, thanks and 5 stars

the diameter of a pool is 28 m. the circumference of the deck is 101 m. what is the area of the pool and deck?

Answers

Answer:

ok

Step-by-step explanation:

soln,

d=28m

r=d/2=28/2

=14m

now,

[tex]\pi {r}^{2} [/tex]

22/7×(14×14)

22/7×196

=616m^2

The regular price of a code is $32 it is on sale at 25% off the sales tax is 6.5% what is the final cost of code

Answers

Answer:

$25.56

Step-by-step explanation:

first find the discount

32 • 0.25 = 8

32 - 8= 24

find the tax

24 • 0.065 = 1.56

24 +1.56 = 25.56

so the final price is $ 25.56

Answer:

25.56

Step-by-step explanation:

25% of 32= 8

32-8= 24

6.5% of 24= 1.56

24+1.56= 25.56

I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!

whats the x and y-intercepts? y=5x−13,

Answers

Step-by-step explanation:

So in a linear function, it follows the form of y=mx+b where m is the slope of the graph (rise/run) and b is the y-intercept.  

Since b is (-13) that is the y-intercept.

This can also be confirmed by making x=0 since that is where the y-intercept occurs.

y=5x-13

y=5(0)-13

y=-13

To find the x-intercept, we need to make y equal zero since that is where x-intercepts are found.

0=5x-13

(now solve using algebra to isolate x)

(add 13 to both sides)

13=5x

(divide 5 from both sides)

13/5 = x

2.6=x

Your y-intercept is -13 and the x-intercept is 13/5.

Hope this Helps :D

Answer:

x-intercept: (2.6, 0) or  [tex](\frac{13}{5},0)[/tex]

y-intercept: (0, -13)

Step-by-step explanation:

Because the equation is written in slope-intercept form using the formula

[tex]y=mx+b[/tex]

b = y-intercept

y-intercept will be (0, -13)

To find x-intercept basically substitute 0 for y and solve for x

so x-intercept will be [tex](\frac{13}{5},0)[/tex] or simplified (2.6, 0)

what is the slope of (-1,6) and (2,3)?

Answers

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]

[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]

[tex] \implies \mathsf{ - 1 }[/tex]

Hence, the slope of the line joining the given points is -1.

Answer:

-1

Step-by-step explanation:

what is the scale factor?

Answers

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

3 times a Numbers plus 12 is more than 15?

Answers

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

Answer:

3x + 12 > 15

this can be simplified to

x > 1

Step-by-step explanation:

:D

The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches

Answers

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

Solve

2^3n-4>0

...................

Answers

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)

Answers

Answer:

345645

Step-by-step explanation:

60 x 45

What is 1 and 1/4 - 3/8?

Answers

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?

Answers

Answer:

450 minutes or 7.5hours

Step-by-step explanation:

for 1 week = 50 *3 (min)

                 =150 minutes

for 3 weeks = 150* 3(min )

                    =450 minutes

How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>

Answers

Answer:

The answer is ">"

Step-by-step explanation:

I took the quiz epicly

Answer:

>

Step-by-step explanation:

What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.

Answers

Answer:

200 cubic centimeter

Step-by-step explanation:

Answer:

201.1 cc

Step-by-step explanation:

r = d/2

v = πr^2 h

---------------------

r = 4/2

r = 2

v = π * (2^2) * 16

v = 3.14159 * 4 * 16

v = 201.06176

Rounded

v = 201.1 cc

--------------------

note:

if 3.14 is used for π

v = 200.96

which rounds to

v =201.0

if Andrew can paint 1 house in 4 days can he paint 9 houses in 27 days

Answers

Step-by-step explanation:

since this is a linear work and function, no, he cannot.

1 house in 4 days.

9 houses then in 9×4 = 36 days.

PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?​

Answers

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?

Answers

Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be

3/4+3/4=2 3/4

So, let us suppose that we have x erasers. The length of the row of x erasers would be

3/4 x

we want x such that this length is 42, so we have the equation

3/4 x =42

Step-by-step explanation:

Please help me with both problems I’ll mark as brainliest!!!

Answers

Answer:

7.  x = 9

9. x=7

Please help me!!!!!!

Answers

Answer:

do you know what the question is asking?

Step-by-step explanation:

Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.

Answers

Answer:

3 square feet

Step-by-step explanation:

Got it right because of the answer above :)

Marco will need 3 square feet of material to make the kite.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the formula for the area of a kite, which is:

A = (1/2) x d1 x d2

where d1 and d2 are the lengths of the two diagonals.

In this case,

d1 = 2 feet, and d2 = 3 feet.

Substituting these values into the formula, we get:

A = (1/2) x 2 feet x 3 feet

   = 3 square feet

Therefore,

Marco will need 3 square feet of material to make the kite.

Learn more about expressions here:

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For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Answers

Answer:

33/16

Step-by-step explanation:

Someone could help me with problem 3-75 (b) please

Answers

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?

Answers

Answer: 5 in

Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.

Alex got 9 hits in his first 22 at bats. If his hitting rate remains constant, how many at bats would he have to have to reach 50 hits

Answers

Answer:

122.2222 repeating

Step-by-step explanation:

7/10=r-(-8/9) please help

Answers

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Can someone help me pls

Answers

Slope is -3/2.

Equation in slope intercept form is: y=-3/2-2

Equation in point slope form is:
y+2=-3/2x-3/2.

If you want the un simplified version of the equation in point slope form it is: y- -2= -3/2(x+1)

Hope this helps!! :)
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