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3 years ago

What are the smallest and largest possible numbers in base 3?

1 answer:

3 0

Our number system is in base 10. The ones place holds digits 0 - 9. When you reach 10, you must add another place value (the tens place).

Base 3 is digits 0-2 becasue when you reach 3, you need to add another place value.

Therefore, the smallest number is 0 and the largest number is 2.

Answer: smallest = 0, largest = 2

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What is the greatest common factor of 30 and 50

siniylev [52]

Hi,

The greatest common factor of 30 and 50 is 10.

Have a great day!

5 0

2 years ago

The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

a package of markers includes 3 black markers and 9 colored markers. What percent of the markers in the package are colored mark

enyata [817]

0.75

just divide 9 by 12

3 0

3 years ago

Read 2 more answers

Find Sin A, Cos A, and Tan A given the following triangle.

Solnce55 [7]

Answer:

Step-by-step explanation:

sin A=(opposite side)/hypotenuse=a/c

cos A=(adjacent side)/hypotenuse=b/c

tan A=(opposite side)/(adjacent side)=a/b

8 0

3 years ago

A garden snail moves 1/6 foot in 1/3 hour. What is his rate in feet per minute?

azamat

I hope you can read this or see it and it helps,thanks bye bye.

3 0

3 years ago