The diameter of a quarter is about 2.4 cm what is the circumference of a quarter

Answers

Answer 1
Answer:

The circumference of a quarter is approximately 7.536 cm.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle is given by the formula:

C = πd

where C is the circumference, d is the diameter, and π (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given diameter of a quarter, which is 2.4 cm, into the formula:

C = πd

C = π(2.4 cm)

C = 7.536 cm

Therefore, the circumference of a quarter is approximately 7.536 cm.

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Answer 2
Answer: circumference = 3.14 (diameter)
3.14 x 2.4 = 7.536

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Solve for x - Pre algebra

5/6 x 6/7 answer please

Answers

Answer:

0.71428571428

Answer:

0.714285 dec. form

5/7 exact form

Step-by-step explanation:

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.The company also discovered that it costs $29 to produce 2 widgets, $115 to produce 4 widgets, and $757 to produce 10 widgets.

How much does it cost to make 3 widgets?

Answers

Answer:

The total cost to make 3 widgets is $64.

Step-by-step explanation:

As cost is give by quadratic function such as c(x) = ax^2 + bx + d

As it costs $29 to produce 2 widgets. So,

c(2) = a(2)^2 + b(2) + d

29= 4a+2b+d ....[A]

As it costs $115 to produce 4 widgets. So,

c(4) = a(4)^2 + b(4) + d

115= 16a+4b+d ....[B]

As it costs $757 to produce 10 widgets. So,

c(10) = a(10)^2 + b(10) + d

757= 100a+10b+d ....[C]

In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]

Subtracting Equation [A] from [B] and [B] from [C]

 12a + 2b = 86  ........[D]

 84a + 6b = 642  ........[E]

Multiplying Equation [D] by 3 and subtracting from [E]

84a + 6b + 3(12a + 2b) = 642 - 86

48a = 384

a = 8

Putting value of a = 8 in equation [D]

12(8) + 2b = 86

96 + 2b = 86

2b = -10

b = -5

Substituting the value of a = 8 and b = -5 in Equation [A].

29= 4a+2b+d

29 = 4(8) + 2(-5) + d

29 = 32 - 10 + d

d = 29 + 10 - 32

d = 7

The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,

c(x) = 8x^2 - 5x + 7 is the required form of equation.

Therefore, the total cost to make 3 widgets will be:

Putting x = 3 in c(x) = 8x^2 - 5x + 7

c(3) = 8(3)^2 - 5(3) + 7

c(3) = 72 - 15 + 7

c(3) = 64

Hence, the total cost to make 3 widgets is $64.

Keywords: quadratic equation, cost

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What is the slope of (1,5),(2,8)

Answers

Answer:

m=3

Step-by-step explanation:

m= 8-(5)/2-(1)

If a machine takes 1 minute to fill 6 cartons of eggs, about how long will it take to fill 418 cartons?

Answers

418/6=69 2/3

69 2/3 minutes or 69 minutes 40 seconds or 69.66666666...
this is wat i got 418/6=69 2/369 2/3 minutes or 69 minutes 40 seconds or 69.66666666...

What is the answer pls help

Answers

2h + 8 > 3h - 6

To solve this question, we must isolate the h

Subtract 3h from both sides

2h (-3h) + 8 > 3h (-3h) - 6

2h - 3h + 8 > -6

-h + 8 > - 6

Subtract 8 from both sides to isolate the h

-h + 8 (-8) > - 6 (-8)

-h > - 6 - 8

-h > -14

Finally, isolate the h by making it a positive. To do so, divide - 1 from both sides. Note that when you divide a negative number, you must flip the sign.

-h/-1 > - 14/-1

h < 14

h < 14, or (1) is your answer

hope this helps

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service is 264.70.a.write an equation in point slope form to find the total price y for any number of monthes x.(hint:the point (6,264.70)is a solution to the equation.)
b.write the equation in slope intercept form.
c.what is the setup fee?​

Answers

Final answer:

The setup fee for the cable service can be found by creating an equation using the given point and solving for the y-intercept. This y-intercept, in this context, represents the setup fee.

Explanation:

Firstly, we understand that the cost per month for the premium cable is $39.95. Considering this cost as a rate, we can say that the total monthly cost can be calculated by multiplying the number of months with the rate per month. The setup fee is a fixed cost, and thus it doesn't change with the number of months.

To find this setup fee, we need to find the y-intercept. In this situation, the y-intercept, denoted usually as b in the slope-intercept form equation y = mx + b, is the setup fee.

So let's solve it step-by-step:

  1. Given the point (6, 264.70) substitutes into the equation as x and y. We can set up the following equation from this point: 264.70 = 39.95*6 + b.
  2. After multiplying and subtracting, we solve for b. The value of b comes out to be the setup fee.

So, the setup fee is found out by subtracting from the total cost of 6 months, the cost of the cable service for these 6 months.

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