Is 8.3 repeating rational? If so, prove it by writing it as a fraction in the form a/b.

Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

$\frac{1}{2} - \frac{1}{4} = \frac{1}{2}$

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

<em>In other words, they belong to different set</em>

8 0

2 years ago

A man is paid a basic hourly rate of $7.00 and is paid

guapka [62]

Answer:

$385

Step-by-step explanation:

This would be 50x7=350

And 60 is 10 over 50, we half his salary($3.50), and multiply $3.50 by that extra 10. coming to $35. Add 35 to 350 to get his $385 60 day salary

4 0

2 years ago

A circular quilt is made from 113.04 square feet of fabric. How much trim is needed to go around it’s edge?

erik [133]

Hey there!

We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.

First, we need to undo the area to find our radius.

113.04/3.14=36

We square root this to find the radius.

√36=6

Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.

6*2=12

12*3.14=37.68

Therefore, we will need 37.68 feet of trim to around the edge of the quilt.

I hope this helps!

6 0

3 years ago

Jose bought 750 bags of peanuts for $375.00.he intends to sell each bag for $0.15 more than he paid. How much should he charge f

tatyana61 [14]

Jose should charge $0.65 for each bag if he intends to sell the bag for $0.15 more than he paid.

<h3>How do we solve word problems?</h3>

Mathematical problems dealing with word problems can be solved by arranging data given into variables and using the appropriate arithmetic operation to solve them.

From the given information:

If Jose bought a 750 bag of peanuts for $375.00. It means that he bought each bag(1 bag) for:

$\mathbf{=\$\dfrac{375}{750}}$

= $0.5

However, he intends to sell each bag for $0.15 more than he paid; Then the amount he should charge for each bag is:

=$0.5 + $0.15

=$0.65

Learn more about solving word problems here:

brainly.com/question/27893239

#SPJ1

3 0

2 years ago

When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?

iVinArrow [24]

Answer:

$41 \: \: \: years \: \: \: old$

Step-by-step explanation:

$me \: \: \: \: \: \: \: \: \: \: \: sis \\ 18 \: \: \: \: \: \: \: \: \: \: \: \: 9 \\ 82 \: \: \: \: \: \: \: \: \: \: \: x \\ \\ use \: \: cross \: \\ multipaction \\ \\ 18x = 82 \times 9 \\ 18x = 738 \\ \frac{18x}{18} = \frac{738}{18} \\ x = 41$

4 0

3 years ago

Read 2 more answers