Mathematics High School

Question 1
18 pt
A Merry-Go-Round revolves 6 times per minute, Jack is 10 feet from the center
while Bob is 14 feet from the center. (calculator allowed)
Jack's linear speed is (Select ]
feet per minute.
V
Bob's linear speed is Select !
feet per minute.

Answers

Answer 1

Bob's linear speed is higher than Jack's because the radius of the circle

around which Bob rotates is larger.

Responses:

Jack's linear speed is approximately 377 feet per minuteBob's linear speed is approximately 527.8 feet per minute

What is the relationship between linear speed and angular speed?

Given:

The rotational speed of the merry go round = 6 revolution per minute

Jack's distance from the center = 10 feet

Bob's distance from the center = 14 feet

The angular speed, ω, of the merry-go-round is found as follows;

[tex]\omega = \mathbf{\dfrac{6 \times 2 \cdot \pi}{1 \ minute}} = 12 \cdot \pi \ rad/minute[/tex]Linear speed = ω × r

Which gives;

Jack's linear speed = 12·π rad/min × 10 feet ≈ 377 feet per minuteBob's linear speed = 12·π rad/min × 14 feet ≈ 527.8 feet per minute

Learn more about angular speed and linear speed here:

https://brainly.com/question/8058144

Related Questions

At a used book sale, all the books cost the same price. Henry buys 4 paperback books for $3.20. Laney buys 9 books. How much does Laney pay for her books? Group of answer choices

Answers

Answer:

Henry: 12.80

Laney: 28.80

Step-by-step explanation:

Find the equation of the line shown

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Y = x + 6 is the correct answer

2/5 (s + 20) help please

Answers

Answer:

2/5s+8

Step-by-step explanation:

2/5(s+20)

=(2/5)(s+20)

=(2/5)(s)+(2/5)(20)

=2/5s+8

4. What is the value of the expression that you chose in number 3? *

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Answer:

what is the answer choice

Step-by-step explanation:

What is the quotient of 72 divided by 0.75?

Answers

Answer:

96

Step-by-step explanation:

Answer:

96 is the answer for this question

Evaluate 27x squared - 42x + 12

Answers

The answer is -42x+741.

Charlie is thinking about buying a game for his Xbox that cost $60 and requires a subscription to basic Xbox live that cost $10 per month he could choose to upgrade his Xbox live membership and then the game will be included but that membership is $15 a month how many months would Charlie have the game before the cost of the two is the same?​

Answers

Answer:

by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Hope this helps

Answer: by 12 months both prices will be 180.

Step-by-step explanation:

If you take 12 and multiply it by 10 because that is the monthly subscription, you will get 120 + 60 for the game which equals 180. But if you take 12 and multiply it by 15 you will also get 180.

Yw.

PLEASE HELP ME
Evan sells skateboards in his store. He marks up the prices by 40% of what he pays for them. If his cost of a gold series skateboard is $130, how much will
he sell the skateboard for?

Answers

Answer: The calculation adds up to 180.488, however i think you might need to round it up to 180.49.

Step-by-step explanation:

i got griefed last time so help me out please

Answers

Answer:

Step-by-step explanation:

a)y=2x+3

b)y=2x+2

c)y=-2x+3

if someone could please help me on this it would be amazing thank you so much

Answers

Answer:

7 cm squared

Step-by-step explanation:

not sure if its right but thats what i got round up to

Solve this equation for x:
-100+2х=80+бх


Answers

Answer:

-45

Step-by-step explanation:

-100 + -80 = 6x + -2x

-180 = 4x

-180/4 = -45

Answer:

x= -45

Step-by-step explanation:

-100 + 2x =  80 + 6x

-80  - 2x  =  -80 -2x

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

-180 + 0   =    0 + 4x

-180/4 = x

-45 = x

Pls help

Solve 3in= ft

Answers

Answer:

3in= 1/4 ft

Step-by-step explanation:

1 foot equals 12 inches so a quarter of 12 inches is 3. PLEASE MARK BRAINLIEST

Answer:

3 inches = 1/4 of a foot

Step-by-step explanation:

There are 12 inches in one foot, so we can create a quick proportion:

1 foot/12 inches = x feet/ 3 inches

x = 1/4 of a foot

Hope this helps!!

Find the slope of the line
у
4
(1,4)
3
2
1
(0, 0) 3 4 5x
slope

Answers

Answer:

(0, 0)

Step-by-step explanation:

Can I get help on this math question plz I need it

Answers

Answer:

(1,3)

Step-by-step explanation:

the answer is where they intersect and the two lines intersect at (1,3)

Answer:

(1,3)

Step-by-step explanation:

The graph shows you where the point meets (your answer)

hope this helps!!

What is the highest common factor of 72 and 90

Answers

Answer:

18

Step-by-step explanation:

Help please I’m trying to do my homework and don’t understand

Answers

Answer:

Answer is 9.

I think this is helpful. Vote it and like me

Write an equation for the following sentence:
The sum of three times a number and 7 is 20.

Answers

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

"What is the image of (-4,2) after a reflection over the y
axis?

Answers

Answer:

(4,2)

Step-by-step explanation:

when reflecting over the y axis you just changed the sign of the x value. (:

Answer:(4,2) just take out the - symbol.

Step-by-step explanation:


PLEASE HELP FOR 20 POINTS!

Answers

Answer:

Yes

Step-by-step explanation:

Taylor earns $5 each time she walks her neighbor's dog.she has already earned $25.write and solve an equation to find out how many more times taylor needs to walk the dog to earn enough to buy a bike that cost $83.

Answers

Answer:

Equation: $83=5w+25 and 12 walks more

Step-by-step explanation:

Here is an equation: $83=5w+25

The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)

The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.

The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)

To solve:

83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone

58 = 5w –– Divide both sides by 5 to get w alone

11.6 = w –– Round this up to 12 because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)

Check:

83=5w+25 –– Replace w with 12

83=5(12)+25 –– Multiply

83=60+25 –– Add

83=85 –– This shows she will have $2 left over

hiii please help i’ll give you brainliest if you show your work

Answers

Answer:

385

Step-by-step explanation:

Math answers to fraction 4235 divided by 11 can be calculated as follows.

4235/11 math problems division = 385. Therefore 385 to 2 decimal places= 385

Answer:

385

(Please give me branilest) (:

Can anyo help me thanks

Answers

Answer:

(-3, -5)

Step-by-step explanation:

We will multiply (6a -2b = -8) by -3, and (a - 3b = 12) by 2

Thus,

-18a + 6b = 24

2a - 6b = 24

=

-16a = 48

a= -3

Then we'll substitute,

-18(-3) + 6b = 24

54 + 6b = 24

6b = -30

b = -5

(-3, -5)

a system of two linear equations must have at least one solution as long as the lines have different intercepts. True or False.

Answers

Answer:

True

Step-by-step explanation:

Hey can someone please help me solve system of equations I’m failing can y’all help me pleaseee

Answers

Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour

Which inequality represents the sentence?

The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29

Answers

7.2 x 29  then 208.8 29

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

;)

answer for brainliest

Answers

Answer:

idrk,...............

Step-by-step explanation:

5kg of compost cost £7.50. Find the cost of 3kg of compost

Answers

Answer:

£4.5

Step-by-step explanation:

5kg= £7.50

£7.50/5 = £1.5

£1.50 =1 kg

£1.50 times 3 equals £4.5

£4.5

Mini earn 6% commission on each how she sells if she sells her house for $180,000 how much does she earn in commission

Answers

Answer:

10800

Step-by-step explanation:

100% -> 180000

6%-> 10800

If a prize of $6000 was divided among Georgia, Leanne and Maya in the ratio
of 5:2:3, how much did each girl get?

Answers

Answer:

G-$3000, L- $1200, M- $1800

Step-by-step explanation:

Georgia= 5/10 * 6000= $3000

Leanee= 2/10 * 6000= $1200

Maya= 3/10 * 6000= $1800

If a prize of $6000 was divided among Georgia, Leanne and Maya to the ratio of 5:2:3 Georgia received $3000, Leanne received $1200, and Maya received $1800.

To find out how much each girl received, we can divide the prize of $6000 according to the given ratio of 5:2:3.

First, let's calculate the total parts in the ratio:

Total parts = 5 + 2 + 3 = 10

Now, we can determine the share of each girl by dividing the total prize by the total parts and multiplying it by the respective ratio:

Georgia's share = (5/10) * $6000 = $3000

Leanne's share = (2/10) * $6000 = $1200

Maya's share = (3/10) * $6000 = $1800

Therefore, Georgia received $3000, Leanne received $1200, and Maya received $1800.

To know more about ratio click here :

https://brainly.com/question/32828757

#SPJ2

Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much of the pot is left over? PLS HELP I HATE MATH

Answers

Answer:

3/4 of the pot left.

Step-by-step explanation:

If the mom eats a 1/12 of the pot and then the brother also eats a 1/6 of the pot, then it is 9/12 left of pasta still. The reason for that is since 1/6 is equivalent to 2/12 so 1/12 plus 2/12 is 3/12, and if u subtract 3/12 from 12/12 it will give you 9/12 which can be simplified to 3/4 left of the pot.

Answer:

3/4 of the pot is left over

Step-by-step explanation:

find the least common denominator- in this case 121/12 and 2/12= 3/123/12-12/12=9/129/12=3/4 by simplfying

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