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Three balls - each of which is either red or yellow - lie in a straight line on a pool table. Adam strikes the first ball, which is red. That ball hits the middle ball. The middle ball then hits the last ball, which is yellow.

On the basis of this information, which one of the following statements must be true?
A. Only one of the balls was red.
B. A red ball hit a yellow ball.
C. A yellow ball hit a red ball.
D. Only one of the balls was yellow.

Answers

Answer 1

Answer:

B .red ball hit a red ball.

Answer 2

Based on the information provided, the statement "B. A red ball hit a yellow ball" must be true.

Let's analyze the given information step by step:

1. Adam strikes the first ball, which is red.

2. The red ball hits the middle ball.

3. The middle ball (which got hit) then hits the last ball, which is yellow.

Based on this information, we can deduce the following:

- The first ball was red and hit the middle ball.

- The middle ball was hit and then hit the last ball, which is yellow.

Now, let's consider the possible scenarios:

Scenario 1: The middle ball was yellow.

In this case, the red first ball would hit the yellow middle ball, and then the yellow middle ball would hit the yellow last ball. However, this contradicts the given information that the last ball is yellow and was hit by the middle ball. So, this scenario is not possible.

Scenario 2: The middle ball was red.

In this scenario, the red first ball hits the red middle ball, and then the red middle ball hits the yellow last ball. This is consistent with the given information.

So, based on the information provided, the statement "B. A red ball hit a yellow ball" must be true.

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Related Questions

Hello can someone please help me with this

Answers

Answer:

I would assume it is c. 1, because of rounding, but I'm only 70% sure.

Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?

Answers

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

The question is in the image! Please answer quickly.

Answers

Answer:

She thought the multiplication symbol was the addition symbol

actual answer: 1.39 x 10^12

Step-by-step explanation:

If it was addition, then she’d be correct;

6.75x10^6 + 0.2x10^6

= (6.75 + 0.2)x10^6

= 6.95x10^6

But really, it was a multiplication, meaning the answer really is;

(6.95x10^6)x(0.2x10^6)

= 1.39 x 10^12

(18−42+2)21÷4⋅12 what does it equal

Answers

The answer should be -1386

A 16-cup carton of ice cream costs $12.00. What is the price per pint?

Answers

9514 1404 393

Answer:

  $1.50 per pint

Step-by-step explanation:

1 pint = 2 cups, so the cost of it is ...

  x/(2 cups) = $12/(16 cups)

  x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups

The price per pint is $1.50.

(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.

Answers

The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:

Initial triangle

[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)

Final triangle

[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)

By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)

By (1), we simplify the expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)

If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:

[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)

Then, we reduce (3b) into an entirely algebraic expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)

Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].

Now we clear [tex]\Delta \theta[/tex] within the formula:

[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex]  (5)

If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:

[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]

[tex]y_{2} \approx 0.545[/tex]

[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]

[tex]\Delta \theta = 0.095[/tex]

As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845

Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?

Answers

Step-by-step explanation:

100% = 730

1% = 100%/100 = 730/100 = 7.3

30% = 1% × 30 = 7.3 × 30 = 219

so, they finished 219 of their 730 orders.

that leaves 730 - 219 = 511 orders still to be finished.

I need to know that answer please help if you can

Answers

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

choose the inequality that represents the following graph​

Answers

Answer:

A

Step-by-step explanation:

if the hole is not shaded that means it can not equal 5 and due to the fact that the line stops at 5 means it's less than 5 so the answer is A

What is the length of BC in the right triangle below?

Answers

Answer:

A. 122

Step-by-step explanation:

in right-angle triangle,

AB² + AC² = BC²

22²+120² = BC²

2²×11² + 2⁶×5²×3²= 2²(121+16×25×9)

4(121+3600) = 14884

BC=√14884 = 122

what is x and y in the equation 9x + 20y > 120

Answers

Answer:

independent variable/ variables

Step-by-step explanation:

Third question please need help

Answers

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

6x+3>15 solve for a please

Answers

Answer:

x>2

Step-by-step explanation:

1) 6x+3 > 15

2) 6x > 15-3

3) 6x > 12

4) x > 12÷6

5) x > 2

Can you help please?

Answers

-5/2

an example of how to write it is :)
-5/2 I learn this like last year but don’t quote me on it

Log2(x-1)+Log2(x+2) =2
Find X

Answers

X is 2.82 rounded off :)

If you added 1, 900 pounds and 2 tons, what would the total weight be?
a) 2, 100 pounds
b) 5, 900 pounds
c) 3, 900 pounds
d) 3.9 tons

Answers

Answer:

B) 5,900 pounds

Step-by-step explanation:

1,900 pounds + 2 tons = 5,900

plz plz heelp me i need heelp

Answers

C because 1.04 could be rounded to 1 to the nearest whole number

Mark bakes 12 more cookies than joe. mark bakes 36 cookies. how many cookie does joe bake?

Answers

Answer:

Mark bakes 36 cookies

Joe bakes cookies

36-12=24

Joe bakes 23 cookies

The lcm of 5^3 and 5^2 is?

Answers

Answer:

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

pls help with this pls​

Answers

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

How much money did the top tickets take in?..​

Answers

$1025, $525+$325+$175=$1025

Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.

Answers

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

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PLS HELP PLS HELP PLS HELP

Answers

The answer is 3/22

Hope this help~

Given f (x) = 1000 . (0.98) and g(x) = 350.
Part A
Enter an expression in the box to write a function h(x) to represent the sum h(x) = f(x) + g(x).
h(x) =
Part B
What is the horizontal asymptote of h(x)?

Answers

>> Answer

_________

[tex] \: [/tex]

f(x) = 1.000 × 0,98 = 980 g(x) = 350

Soo

Step by step :

h(x) = f(x) + g(x)

h(x) = 980 + 350

h(x) = 1.330

The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?

Answers

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Helppppppppppppppppppppppppppp!

Answers

Answer:

-0.6

Step-by-step explanation:

If i got the points correct, (0,3) and (5,0) i couldnt tell what the other point is so i assumed it was 5.

Equation of the line: (if needed)

y = -0.6x + 3

or

y =  

- 3 x

5

 + 3

When x=0, y = 3

When y=0, x = 5

What is the average of 100, 125, 150, 25

Answers

100

Step-by-step explanation:

So, you are essentailly finding the mean (the average of a set of numbers).

1. Add up all the numbers (should get 400)

2. Divide by the amount of numbers presented in the set. (Here there are 4)

3. Solve :  400/4 = 100

Part B
Find the slope of the following graph and enter your result in the empty box,


Answers

Slope is 3
m=3

Since the formula is rise over run,
3/1 to get to another point 3/1 is 3

So there’s your answer

Total consumption of fruit juice in a particular country in 2006 was about 1.41 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?​

Answers

Answer:

3.525 gal/person

Step-by-step explanation:

My class would consume 52.875 gallons

pls help me
nonsense answer=report
good answer=+points​

Answers

Solution:Opposite of an integer means the same integer with a change in its sign.If it is a positive integer, then the opposite of it is the negative of the same integer.And if it is a negative integer, then the opposite of it is the positive of the same integer.+20 : -20-13 : +13-9 : +9+50 : -50+93 : -93-16 : +16+35 : -35+11 : -11-12 : +12-14 : +14

Hope it helps.

Do comment if you have any query.

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