A Rube Goldberg machine consists of a series of devices that perform a simple task. Kate is drawing a scale model of her Rube Goldberg machine, which she plans to build and enter into a contest. A bicycle wheel on the scale model is 2 inches in diameter, while in the actual machine, it will be 28 inches in diameter.

Question 1
Part A

Based on the measures of the wheel diameter, what is the unit rate of inches of machine per inch of the model?

Answers

Answer 1

Answer:

The unit rate is 16

Step-by-step explanation:

Answer 2

The unit rate of the machine is given as 14 inches per model.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The diameter of bicycle wheel on the scale model is 2 inch.

And, the diameter in actual machine is 28 inch.

The unit rate of the machine can be found by using unitary method as follows,

For 2 inch diameter on scale model, diameter in machine = 28 inch

For 1 inch diameter on scale model, diameter in machine = 28/2 inch

                                                                                                = 14 inch.

Hence, the unit rate of inches of machine per inch of the model is 14 inches per model.

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Related Questions

20 POINTS
A Tour of Washington, D.C. Parallel Lines and Transversal
(if anyone can find the actual answer that would be greatly appreciated)

Answers

Answer:

I am so sorry but I need pts...

Step-by-step explanation:

Answer: Can you add a picture or give the full question?

Step-by-step explanation: i don’t understand the question.

PLEASE HELP ASAP BY 11/12 BY 9:00 am!!!! WILL AWARD BRAINLIEST!!!
(x,y) ---> (1/4, 1/4)
what does the above transformation mean?
THANK YOU!!!!!!!

Answers

Answer:

x=1/4 y=1/4

Step-by-step explanation:

They mean x-coordinate and y-coordinate

Ann​'s car can go 132 miles on 4 gallons of gas. During a drive last​ weekend, she used 7 of gas. How far did she ​drive? Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:44 Step-by-step explanation:

Answer:

multiply 132x4x7 and see how many gallons of gas

Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card? (Use the table to help you solve the problem; you will need to copy it onto a piece of paper

Answers

It will take her 12 weeks overall

Answer:

i got 2.5 weeks

Step-by-step explanation:

you subtract 5-3=2 so she saves 2$ every day.So divide 35 to 2 and get 17.5.

then divide 17.5 from 7 days and get 2.5weeks

I THINK!

Which comparison is correct?
A. 7 -7
C. -9 > 4
D. -6 > -5

Answers

Answer:

A is correct hope this helps

Answer:

The Correct answer is B

Step-by-step explanation:

-2 > -7

if we were to put this on a number line -2 would be to the right which would make it the number larger

At a​ little-known vacation​ spot, taxi fares are a bargain. A 42 ​-mile taxi ride takes 49 minutes and costs ​$29.40. You want to find the cost of a 46​-mile taxi ride. What unit price do you​ need?

Answers

Answer:

about 13.50$

Step-by-step explanation:

Plz name me the brainlest

13.50 that is the answe

Reflection/Math 10points

Answers

Hola!

I just wanted to say Goodluck! :)

Mr. Smith drove for 45 minutes at a speed of 40 km/h. He stopped for 15 minutes for a coffee break and then he drove for 2 hours at a speed of 75 km/h. What was his average speed for the entire journey? I WILLMR BRAINLIEST

Answers

Answer:

60 km/h

Step-by-step explanation:

Average speed is total distance over total time.

Total distance: 30 + 0 + 150 = 180 km.

Total time: 0.75 + 0.25 + 2 = 3 hrs.

180/3 = 60/1

Answer:

60

Step-by-step explanation:

Please help. and put a explanation because I need it lol (if you can )

Answers

Answer:

I am pretty sure it's the first one with the table

Step-by-step explanation:

All of the numbers from the x side can be times by 4 to get the y value and that goes for all of the x values which means that it is proportional

Answer:

I think its either the first one

Step-by-step explanation:

Because we can see 3 times 4=12

6 times 4=24

9 times 4 =36

Which ordered pair is not a solution of f(x) = 2x + 9?

(7, 23)
(3, 14)
(2, 13)
(0, 9)

Answers

Answer:

The answer is (3,14)

Step-by-step explanation:

Answer:

(3,14)

Step-by-step explanation:

find f(2) for the function below
f(x) =1/8*5^x

Answers

Answer:

f(x)=.625^x

Step-by-step explanation:

Step-by-step explanation:

f(x)=1/8*5^x

f(2)=1/8*5^2

f(2)=1/8*25

f(2)=25/8

Rewrite the absolute value function y=|x|-3 as two linear functions, one that has the domain x<0, and one that has the domain x≥0.

Answers

seems the answer has been figured out

Two linear functions, one that has the domain x < 0 is y = - x - 3

And, one that has the domain x ≥ 0 is y = x + 3.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

The absolute value function is,

⇒ y = |x| - 3

So, The linear function which has the domain x < 0 is,

⇒ y = - x - 3

And,  The linear function which has the domain x ≥ 0 is,

⇒ y = x - 3

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1/2 + 2/5 + 1/8 = ???

Answers

41/40 (decimal 1.025)
41/40 or 1 1/40Hope it helped!

Rectangle QRST has coordinates Q(-3, 7), R(-3, 11), S(4, 11), and T(4,7)

Dilate the rectangle by a scale factor of 3 with a center of dilation at the origin. What are the coordinates of rectangle Q’R’S’T’? Explain your reasoning. Is the dilation a reduction or an enlargement?

Answers

Q’= (-6,21) R’=(-6,33) S’=(12,33) T’=(12,21) the scale factor is 3 so you multiply the coordinates by 3. It is an enlargement

All of last year’s car models were marked down 40%. Tracy wants to buy a car on sale for $18,000. What was the retail price of the car?

Answers

25,200 is the retail price of the car. 18000 + (40% = 7200) equals to 25,200.

Answer:

25,200.

25,200 is the retail price of the car. 18000

+ (40% = 7200)

equals to 25,200.

Answer Both HELPPPP pls look at image

Answers

Answer:

FOR NUMBER 10 and 11

Step-by-step explanation:

$1.00= 2 minutes

$10.00= 20 minutes

$1.50= 3 minutes

$2.50= 5 minutes <3   can you give me a brainliest x

Shaundra may have decided to pick shop and go as 1 bottle from Super buy is $0.33 but 1 bottle from Shop and Go is $0.21 , this is a good choice as she i saving money.

One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.

Answers

Answer:

c=5b-25

Step-by-step explanation:

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

The value of c in terms of b is 5b - 25

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

Example:

x² + 3x + 9 is an equation.

x³ + 6x² + 6x + 8 is an equation.

We have,

x² - bx + c = 0

One of the roots of this equation is 5.

This means,

5² - 5b + c = 0

25 - 5b + c = 0

Adding 5b on both sides.

25 + c = 5b

Subtracting 25 on both sides.

c = 5b - 25

Thus,

The value of c in terms of b is 5b - 25

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The body of a 154-pound person contains approximately 2×10^2 milligrams of gold and 6×10^3 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times greater than the number of milligrams of gold in the body?
can you show your work too?
re asked it cs some bozo stole my points but pls hellp asap

Answers

Answer:

5800

Step-by-step explanation:

2x10^2= 10x10= 100x2= 200

6x10^3=10x10x10=1000x6=6000

6000-200=5800

The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable

Answers

Answer: 36, 13, -10

The rates of change are variable.

Step-by-step explanation:

The rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.

What is a variable and a constant?

A variable is a quantity that changes in its value, but a constant remains fixed.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For this case, we get the rates as:

For rate between first two values,

[tex]Rate_1 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{17-0}{0.5-0} = 34[/tex]

For rate between second two values,

[tex]Rate_2 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{30-17}{1.5-0.5} = 13[/tex]

For rate between third two values,

[tex]Rate_3 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{25-30}{2-1.5} = -10[/tex]

We see that the rate of change of height of the football considered with respect to time is changing, so its a variable.

Thus, the rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.

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what is 2x + 20 ≤ 50

Answers

Answer:

x ≤ 15

Step-by-step explanation:

2x + 20 - 20 ≤ 50 -20

2x ≤ 30

2x/2 ≤ 30/2

x ≤ 15

A scale of 1:25 was used to create a drawing of an object. How would you find the actual length that corresponds with a given scale length?
A.)Multiply the scale length by 1/25.
B.)Multiply the scale length by 25.
C.)Divide the scale length by 1/2.5 .
D.)Divide the scale length by 25.

Answers

Answer:

B) Multiply scale length by 25!

Step-by-step explanation:

1 : 25

1 * 25 = 25

25 :25

25 = 25

Consider Brainliest! Hope this helped!

please help its confusing a little for me will give brainliest

Answers

Answer:

B. 24.5

Hope this helps

Darius created a factor tree and wrote the prime factorization of 60 shown here.

A factor tree of 60. 60 branches to 4 and 15. 4 branches to 2 and 2. 15 branches to 3 and 5.


60 = 2 × 3 × 5

What is Darius’s error?

Answers

Answer: he needs to finish factoring the 4s.

Step-by-step explanation:

4x15 is 60, so that is right, 3x5 is 15, so that’s is right, 2x2 is 4, so that is right, but he didn’t finish factoring. 1x1 is 2, so he should have 1 and 1 coming from each 2 on the tree. Hope this helps.

HELPPPP look at image

Answers

Answer:

300 gallons this was to easy

It would take 300 gallons of fuel. I’m pretty that’s right

Carter was given a box of assorted chocolates for his birthday. Each night, Carter treated himself to some chocolates. Carter ate 5 chocolates each night and there were originally 30 chocolates in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Carter's birthday.

Answers

C(t) = 30 - 5t ur very much welcome

This question has three parts. Answer the parts in order.
Part 1

Sam is 8 years younger than his brother Steve. He is also half as old as Steve.

Select two equations of a system that can be solved to find both ages.
Part 2

How many years old is Sam? (Use only the digits 0 – 9 to enter a number.)
Part 3

How many years old is Steve? (Use only the digits 0 – 9 to enter a number.)


this are the answeres of part one

Answers

Answer:

b

Step-by-step explanation:

b

A person earns 16,000 one year and get 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.
please help me if you can

Answers

Answer:

16800 a year

Step-by-step explanation:

Best answer gets brainliest

Answers

Answer:

is mine the best answer

Step-by-step explanation:

please say it is

The following scale drawing was made for a home that is for sale. Use this information to answer the problem.
A.)1 in. by 1.5 in.
B.)36 in. by 54 in.
C.)2 in. by 3 in.
D.)18 in. by 27 in.

Answers

Answer:

B.)36 in. by 54 in.

Step-by-step explanation:

It's a 1 to 6 ratio, so I did the dimensions(6 and 9) and multiplied each by 6.

6.39E-26 in scientific notation please help

Answers

6.39 * 10^-26
I believe that’s the answer

Answer:

I'm so sorry I just need points :) bjsdbhdjfhedf8biehuj3

Step-by-step explanation:

Thanks

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