Paul is making a ball-toss game for his club booth at the fair. He wants to make the circumference of the holes at least 3 inches greater but not more than 4 inches greater than the circumference of the ball. One person suggests that Paul can make the diameter of the hole 1 inch greater than that of the ball. Another suggests the diameter should be 2inches greater. Which suggestion should Paul choose? Explain

Answers

Answer 1

Answer:

Paul can make the diameter of the hole 1 inch greater than that of the ball

Step-by-step explanation:

we are going to assume a diameter of the hole has 6in

the radius of the ball is 3in

we looking at a range of the hole greater by (3<4)

we know that the circumference of a circle is given as

the circumference of the ball is

C=2πr

C=2*3.142*3

C=18.85in

The circumference of the hole is ( 1 inch greater )

C=2πr

say the diameter is 6in plus 1in = 7in

the radius =3.5in

C=2*3.142*3.5

C=21.99

compare with the ball the difference is 21.99-18.85

=3.14 which is in the range

The circumference of the hole is ( 2inches greater. )

C=2πr

say the diameter is 6in plus 2in = 8in

the radius =4in

C=2*3.142*4

C=25.13in

compare with the ball the difference is 25.13-18.85

=6.28 which is out of  the range


Related Questions

Can someone solve fast it’s 381 to the power of 5 divided by 381

Answers

Answer:

1.6056648e+12

Step-by-step explanation:

Answer:

21071715921

Step-by-step explanation:

This is what I got when i entered it into a calculator. Hopefully i'm correct and this helps :) Have a good day/night

hey diddle diddle, the median's the middle; you add and divide for the mean. The mode is the one that appears the most,and the range is the difference between.



2,49,15,9

Mean:
Median:
Mode:
Range:​

Answers

Answer:

Ig?

Step-by-step explanation:

.3y + 3 (1 - y - y = 6​

Answers

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Morgan scored 41 points in 3 games. How many points did she score in 1 game?

Answers

Answer:

She is averaging 14 points a game, or close to it.

41/3= 13.67
Points in 1 game: 13.67
I guess you should round it

tell what 0 represents in that situation. Greg scored 278 points during his turn in the video game.

Answers

Answer:

ok i think it might be +278

Step-by-step explanation:

so try +278

Answer:

wanna zoom

Step-by-step explanation:

YALLLL I NEEDDDD HELPPPPPPP LOOK QT THE PICTURE PLZZZ

Answers

Answer:

Angle A = 65 degrees, Angle B = 78 degrees

Step-by-step explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.

I need help! As soon as possible please?

Answers

Answer:

-13834.65819

Step-by-step explanation:

here you go

-13834.65819
Hopefully this helps

in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

Answers

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

The measure of the following angles are as follows;

∠BCD = 38°

∠ECF = 38°

∠DCF = 142°

Angles form when a transversal cut parallel lines

When a transversal line cut across parallel lines, the angles form include corresponding angles, alternate angles etc.

Therefore,

∠BCD = 38 degrees(alternate angles)

∠ECF = 38 degrees(corresponding angles)

∠DCF = 180 - 38 = 142 degrees(angles on a straight line)

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A line passes through the point (-9,6) and has a slope of -2/3.

Write an equation in point-slope form for this line.

Answers

Answer: Line 2-2-

Step-by-step explanation:

Which of the following rules represent the function graphted
F(x)=1/2x
F(x)=x
F(X) = x + 2

Answers

Answer: F(x) = x

Step-by-step explanation:

y = mx + b is the base equation

m = the slope slope equals the increase of y over x

b = the y intercept

y = 1/1 x + 0

so y = x

or f(x) = x

F(x) = x

Have a nice day

is square root 1/9 a rational number? Explain

Answers

Yes, a rational number is a number that can be expressed as a ratio of two integer numbers.

What is the fraction 12/30 in simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

You divide 12 by 6 and 30 by 6.

PLEASE MARK BRAINLIEST!!!!

The fraction 12 / 30 in the simplest form is 2 / 5.

How to solve fractions in simplest form?

Fractions are numbers that are written in 2 parts: a numerator and a denominator.

The upper part is the numerator while the lower part is the denominator.

Therefore, let's solve the fractions to it simplest form.

Simplified fractions are the fractions in their lowest, reduced and simplest form.  In other words, a fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator.

Therefore,

12 / 30 ÷ 6 / 6 = 2 / 5

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PLS MY GRADE IS LOW!! IVE BEEN ASKING SINCE YESTERDAY!! LITTERALLY!!! EXTREAMLY EASY I AM JUST AFRAID TO GET THIS WRONG SO IF YOU COULD TAKE A MINUTE AND HAVE SOME PITY FOR ME PLS COME HELP AND LOOK!!! WHERE THE EXPERTS!!! THEY DONT COME HELP ANYMORE!!

( TO HELP ANSWER LOOK AT THE IMAGE BELOW)

2. Which kind of model do you think best represents the profit for each business? Explain.


3. Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.

4. Look at the functions that describe the profits of each business. Why do you think the a-value of the lawn care business is negative while the a-values of the dog walking and housesitting businesses are positive?

Answers

Answer:

The lawn care is the most sucsessful.The most money is earned and the uh House shelter or whatever is in the middle and the dog thing is the least sucsesful with the money.

For the second,i dont get it.

The lawn care is wealthy BUT never judge a book by its cover so the lawn care (lc)may be dirty,smelly,uncivilized,or just no privacey.

Statement A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes? A. 500 . 24 . 8 B. 500 + 24 + 8 C. 500 + 24 . 8 D. 500 . 248

Answers

Answer:

c. 500 + 24 * 8

Step-by-step explanation:

if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.

The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.

As per the given information, the required expression would be as

500 + 24 × 8

Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.

Hence, the correct answer would be option (C).

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work out the probability that halima at least walks one way

Answers

can you please explain what you said

What is the distance between (2, -1.2) and (2, 5.4)?​

Answers

Answer:

0,4.2

Step-by-step explanation:

Help with this one pleaseee

Answers

Answer:

??

Step-by-step explanation:

Tan= opposite/adjacent
So the Tanr = 35/12.

Be the first to answer this:)

Answers

Answer:

53 1/3 yards

Step-by-step explanation:

When you solve for area you multiply width times length so here we would divide.

6400 ÷ 120 = 53 1/3 yards

Hope that helps and have a great day!

Which of the following correctly solves this equation? ( − 6 ) 2 − ( 6 ) ( 6 ) = 36 ( − 6 ) ( − 2 ) = 12 ( − 6 ) ( − 6 ) = 36 ( − 6 ) ( − 6 ) = − 36

Answers

The correct solution are:  ( − 6 ) ( − 2 ) = 12 and  ( − 6 ) ( − 6 ) = 36 .

Addition Sign Rules

Here it is important to remember the rules for the  addition of integers numbers:

+  +   Add  Final result (+) - Final result (+)  

-   -   Add  Final result (-) - Final result (-)  

+  -   Subtract - Final result (the sign of the integer having a greater value)

-   +  Subtract - Final result (the sign of the integer having a greater value)

Multiplication Sign Rules

The rules for multiplication of numbers are:

  +  +  or -   -

The result presents a positive sign (+) because the signs are the same.

  +  - or   -   +

The result presents a negative sign (-) because the signs are different.

For solving this question, you should apply the rules presented previously. And after that check, if your result is the same that the question gives.

Option1

        ( − 6 ) 2 − ( 6 ) ( 6 ) = 36

        -12 -(36) = -12 -36 = -48 -> It is not the solution given in the exercise because  -48 ≠ 36.

Option2

        ( − 6 ) ( − 2 ) =12

                12=12 -> It is the solution given in the exercise because  12=12.

Option3

      ( − 6 ) ( − 6 ) = 36

               36=36-> It is the solution given in the exercise because  36=36.

Option 4

       ( − 6 ) ( − 6 ) = − 36

            36≠ -36 -> It is not the solution given in the exercise because  36 ≠ -36.

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please answer fast

Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
y + 3 = -5(x - 2)
y-2--5(x + 3)
y+3 -- - 2)
y-2-(x+3)


Answers

It’s D is the point slope

Anthony travels from Page Az to Flagstaff Az at a rate of 60 miles per hour in 2.5 hours. How far is Flagstaff from Page?( Show your process plz)

Answers

Answer:

150 miles

Step-by-step explanation: The distance from Page to Flagstaff can be shown with the equation d = r * t, or distance = rate * time. In this case, the rate is 60 mph, and the rate is 2.5 h. Plugging that into the equation you get d = 2.5(60) = 150, giving you your distance.

Jonas's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages?

Answers

Answer:

It will take 10 minutes for the printer to print 240 pages.

Step-by-step explanation:

First, you have to find how many pages the printer prints in 1 minutes. whixh is 24. You can find this by simply dividing 96 by 4. Then, you divide 240 from 24, and get 10! Hope this helps!

A water tank already contains 55 gallons of water when Jenny begins
to fill it. Water flows into the tank at 8 gallons per minute. What is the
volume of water in the tank after 25 minutes?
a. 145 gallons
200 gallons
b. 255 gallons c.200 gallons
d. 1383 gallons

Answers

Answer:

200

Step-by-step explanation:

8x25=200

una madre tiene 35 años mas que su hija y dentro de 5 años tendra el doble
¿que edad tiene cada uno?

Answers

hijo = x

madre = x+35

y ahora dentro de 15 años ,es decir:

hijo =x+15

madre= (x+35)+15

luegos nos dicen que :

2(x+15)=(x+35)+15

2x+30=x+50

x=20

la edad del hijo es 20 años

y la de la madre x+35= 55 años.


Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10
per week. In how many weeks will you have the same amount of money?

Answers

Answer:

9 weeks

Step-by-step explanation:

5x+75=10x+30

-5x        -5x

75=5x+30

-30      -30

45=5x

÷5    ÷5

9=x

x=9

it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.

Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:

Amount of money in your account = $75 + $5x

For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:

Amount of money in your friend's account = $30 + $10x

To find the number of weeks where you both have the same amount of money, we set up the equation:

$75 + $5x = $30 + $10x

Simplifying the equation:

$5x - $10x = $30 - $75

-$5x = -$45

Dividing both sides of the equation by -5 gives us:

x = 9

Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

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Question 2
Identity the numbers that make the statement below tree
58=-= a postave number
A
B
6.3
c
500
D
5.9
E
-7.3
F
8.2
PLEASE HELP TIMED TEST!!!!!

Answers

Step-by-step explanation:

I am a math genis but the is hard

20 POINTS AND 5 STARS

Answers

the first one I believe

What is the definition of liquidity?
ERRE
how difficult it is to maximize returns on investments
how much money someone has in a savings account
how easily an investment can be exchanged for cash
how much income someone has to invest each year

Answers

Answer: The answer is the third option (How easily an investment can be exchanged for cash)

Step-by-step explanation: I got 100% on this quiz on Edge, I’m 3 weeks late to answering this, but I hope It helps somebody :)

Answer:

C. How easily an investment can be exchanged for cash.

Step-by-step explanation:

What is the first step in silving this equation?
3n - 4 = -2 + 2n

Answers

Answer:

[tex]3n - 4 = - 2 + 2n \\ or \: 3n - 2n = - 2 + 4 \\ or \: n \: = + 2 \\ or \: n = 2 \\ therefore \: n = 2[/tex]

The Answer of this question is 2.

Thank you ☺️ ☺️

Steps:

3n - 4 = -2 + 2n

-2n              -2n

n - 4 = -2

   +4    +4

n = 2

Please help me out please!

Answers

Answer:

-1.86

Step-by-step explanation:

1.86 is half of 3.72, and when you divide a negative with a positive, you get a negative.

Answer:

-1.86

Step-by-step explanation:

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