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3 years ago

If π is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 9 cm?

1 answer:

8 0

Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27

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Suppose there are 8 blue, 4 green, 11 yellow, and 7 red buttons in a bag. If you randomly pick out one button, what is the proba

STALIN [3.7K]

11/29 i believe. Cuz you add them all together and get 29 and then red and green added together is 11

5 0

3 years ago

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The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers

Elis [28]

Answer:

The numbers are 23 and 7

Step-by-step explanation:

1. Set up the equations

Let x = the greater number

and y = the smaller number. Then

(1) x - y = 16

4y = 4 times the smaller number and

4y - 5 = 5 less than 4 times the smaller number. Then

(2) x = 4y - 5

You have a system of two equations:

$\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}$

2. Solve the equations

$\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}$

The larger number is 23; the smaller number is 7.

3. Check

$\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}$

OK.

3 0

3 years ago

Hellllllpppppopp plzzzzz i dont know how to do this

Ronch [10]

Answer:

The picture isn't showing up.

Step-by-step explanation:

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3 0

3 years ago

What is the cube root of -216?

Tatiana [17]

(-6)*(-6)*(-6)=-216.

Therefore, the cubed root of -216 is -6.

4 0

3 years ago

Suppose Celine wants to choose a box that maximizes the amount of cereal it can hold. Volume of Box 1: 3x5 Volume of Box 2: 4x5

finlep [7]

The <em><u>correct answer</u></em> is:

Box 2

Explanation:

In these expressions, x represents the width of the box. We are asked about widths greater than 1; let's us 1.1 as an example:

Box 1:

3(1.1⁵) = 4.83153

Box 2:

4(1.1⁵)-(1.1⁴) = 6.44204 - 1.4641 = 4.97794

With a difference as small as a tenth, the volume of box 2 is larger. The larger the difference in width, the larger the difference in volume, and the volume of box 2 will be larger every time.

3 0

3 years ago

Read 2 more answers