Mathematics Middle School

which of these nonterminating decimals can be converted into a rational number? A 0.48907542... b 0.02020202... C 0.92589542... D 0.10203040...

Paul is painting a square wall with an area of 115 square feet. To the nearest foot, what is the length of the wall? Hint: A = s2.
11 **
29
42
58

Answers

Answer 1
1.) B because it has a pattern
2.)
[tex]115 = s^{2} [/tex]
[tex] \sqrt{115} = \sqrt{ {s}^{2} } [/tex]
s is approximately 10.72381
Answer 2
Final answer:

Decimals B, C, and D can be converted into rational numbers as they have repeating patterns.

Explanation:

A nonterminating decimal can be converted into a rational number if it is a repeating decimal. Among the given options, decimals B, C, and D can be converted into rational numbers because they have repeating patterns.





Decimal B: 0.02020202... can be converted into a rational number by expressing it as the fraction 2/99.

Decimal C: 0.92589542... can be converted into a rational number by expressing it as the fraction 92589542/99999999.

Decimal D: 0.10203040... can be converted into a rational number by expressing it as the fraction 10203040/99999999.

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Related Questions

how many hours is it from 12am-5am

Answers

5 hours my guy the way you implied it
It is 5 hours 
Hope this helps!!

A little help would be nice :) I will award 5 stars and 15 points.

Answers

s = d/t for t

To do this, multiply both sides by 1/d

s/d = t

Hope this helps!

Laying used 3/8 cup of flour and 1/3 cup of sugar in a recipe which number below is a common denominator for 3/8 and 1/3

Answers

24 is the common denominator :)

Solve the inequality below and then graph the solution set.

1
_ w + 3 < -6

4

Answers

In order to solve for this inequality, we need to begin simplifying. 
First, subtract 3 from both sides. We can do this because of the subtraction property of equality. This changes the equation to:
(1/4)w< (-9)
Next, multiply both sides by 4. We can do this because of the multiplication property of equality. We want to do this to eliminate the fraction. This changes the equation to:
W < (-36)
Now, graph. We know that W is less than -36, so graph W < (-36). This puts a straight up and downline, parallel to the axis, with the left side of the line filled in. The graphed file looks like the file attached.
I hope that this explanation helps!

Name the property 3x6x8=8x6x3
Associative or communitive

Answers

Associative is the answer
Commutative property is the correct answer

students collected 600 cans for the canned food drive that was 80% of their goal how many more cans do they need to collect to reach their goal

Answers

I think it's 1080 cans

Answer: 150

Step-by-step explanation:

Let x be the total number of cans that was students' goal.

Given : Students collected 600 cans for the canned food drive that was 80% of their goal .

We can write 80% as 0.80

Then, we have

[tex]0.80x=600\\\\\Rightarrow\ x=\dfrac{600}{0.80}=750[/tex]

Thus, The students' goal of collecting cans for the canned food drive = 750 cans

Now, the number of food cans required to collect to reach the goal= 750-600=150

how to express 1/243 using a negative exponent other than -1

Answers

is that the full question

How many seconds equal 3.6 hours?

Answers

12960 seconds equals 3.6 hours.

since its 3.6 hours we need to calculate it so one minute = 60 seconds and 60 minutes = a hour so those are the basics to solve this. now u have add 1 minute of 60 minutes to equal just one hour which gets u 3 if u do it 3 times.

Which graph represents the solution set of the system of inequalities?

−2x+y≤4
{
y>x+2

Answers

Look at the given equations : -2x + y ≤ 4 & y > x + 2

For equation -2x + y = 4, 
Solutions are (0, 4), (-2, 0)

For equation y = x + 2,
Solutions are (-2, 0), (0, 2)

Graph second & Third obey this solution,

Take a point (5, 0) and put into the equations,
It does not obey both the equations,

So, Graph second is the correct answer.


Answer:

Graph 2

Step-by-step explanation:

Given system of inequalities,

−2x + y ≤ 4,

y > x + 2

∵ Related equation of −2x + y ≤ 4 is,

-2x + y = 4 ⇒ y = 4 + 2x ----(1)

While, the related equation of y > x + 2 is,

y = x + 2

From equation (1),

4 + 2x = x + 2 ⇒ 4 + 2x - x = 2 ⇒ 4 + x = 2 ⇒ x = 2 - 4 ⇒ x = -2

Again by equation (1),

y = 4 + 2(-2) = 4 - 4 = 0

Hence, the intersection point of the related equation is (-2,0),

∴ Graph 1 and graph 3 can not be the graph of the given system.

Now, −2(0) + (0)  ≤ 4 ( true )

That is, −2x+y ≤ 4 would contain the origin,

Also, 0 > 0 + 2 ( False )

That is, y > x + 2 does not contain the origin.

Therefore, by the above explanation it is clear that,

Grap 2 represents the solution set of the system of inequalities.

How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?



-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.

-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.

-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.

Answers

C- it is the graph of the absolute value of x shifted up by 7 units

The graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉ as the graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.

Modulus function / Absolute function [x]What is modulus function?

A modulus function is a function that determines a number or variable's absolute value. No matter what input was provided to this function, the outcome is always positive.

Solution of function f(x) = [x]

Consider different values for x.

Say,

x = -1; f(-1) = [-1] = 1

x = 1; f(1) = [1] = 1

For any value of the x, the value of the function will be positive only.

The graph is attached in the image.

Solution of function f(x) = [x] + 7

Consider different values for x.

Say,

x = 0; f(0) = [0] + 7 = 0 + 7; f(0) = 7

x = -1; f(-1) = [-1] + 7 = 1 + 7; f(-1) = 8

x = 1; f(1) = [1] = 1 + 7; f(1) = 8

For any value of the x, the value of the function will be positive only, but it would be 7 units shifted up on the y axis.

The graph is attached in the image.

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What is 121,580 Rounded to the nearest thousand?

Answers

122000 is the answer.
To round, you must see if the number coming before the place you're rounding to is greater than or equal to 5. In this case, it's the hundreds place, and it is 5, so you would round up. (If it was less, you'd round down to 121,00.) To round up, we raise the thousands place by 1. Therefore, the answer is 122,000.

Michael earns a base salary of $100.00 every week with an additional 9% commission on everything he sells. If Michael sold $4950.00 worth of items last week, what was his total pay?

Answers

find the 9% commission:O .09·4950=445.50 
Add his commission and base: 100+445.50=545.50
He earned $545.50 :)

What percent of 100 is 40

Answers

The roots “per” and “cent” in “percent” together mean “for each 100.” “40 percent of 100” translates to “add 40 for each 100.” Since we only have 100, we only need one 40, so our answer is 40.
The answer to your question is 40. 

Dean needs 6060 inches of wood to build a rectangular picture frame. The length ll of the frame is twice its width ww. Three of these equations give the correct value for ww. Which equation does NOT?

Answers

6060 not answer these

can some one help me a little hard for me

Answers

Seven is matter
Eight is liquid

What is the value of X?
3 (x - 2) + 5x = 18

Answers

Multiply everything in the parenthesis by 3.

3x - 6 + 5x = 18

Combine like terms.

8x - 6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8.

x = 3

Hope this helps!
3x - 6 (distribute the 3 to each item in ()
3x - 6 + 5x = 18
8x - 6 = 18 combine like terms
     +6    =6
8x = 24
__    __
8      8
x = 3

find the experimental probability of rolling a 4

Answers

Final answer:

The experimental probability of rolling a 4 is calculated by dividing the number of times a 4 is rolled by the total number of rolls. It may not match the theoretical probability exactly in the short term but should converge to approximately 0.1667 as the number of trials increases.

Explanation:

To find the experimental probability of rolling a 4 with a fair six-sided die, we must consider the frequency of the event (rolling a 4) occurring among a number of trials. Since each side of the die has an equal chance of landing face up, each side has a probability of 1/6.

If a die is rolled many times, and the results are recorded, the experimental probability can be calculated as the number of times a 4 occurs divided by the total number of trials. For example, if a die is rolled 120 times and the number 4 comes up 20 times, the experimental probability for rolling a 4 would be 20/120, which simplifies to 1/6. However, since this is experimental probability, the outcome may not always exactly match the theoretical probability due to variations in the short term. Nevertheless, as the number of trials increases, we expect the experimental probability to get closer to the theoretical probability of 1/6 or approximately 0.1667 when rounded to four decimal places.

Please help me!

x + 6 ≤ 8

Answers

Your goal is to isolate the x variable, so all you have to do here is subtract 6 on both sides.

Your final answer is x ≤ 2.

Hope this helps a lot! :)

x+6<8 looking at this you want to see what x equals
  -6  -6  subtract 6 from both sides because the 6 is a positive if it was negative  then you would add 6 to both sides but it is a positive in this problem so you would subtract
so you final answer would be x<2

What is 3/8 equivalent to

Answers

3/8 is equivalent to 0.375.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{What is }\rm{\bf \dfrac{3}{8}}\large\textbf{ equivalent to?}[/tex]

[tex]\huge\textbf{Now, let's solve for the given question:}[/tex]

[tex]\mathbf{\dfrac{3}{8}}[/tex]

[tex]\mathbf{= \dfrac{3\times2}{8\times2}}[/tex]

[tex]\mathbf{\approx \dfrac{3 + 3}{8 + 8}}[/tex]

[tex]\mathbf{= \dfrac{6}{16}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{6}{16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the expanded form of 7 x 256

Answers

7*256 = 1000 + 700 + 90 + 2.

PLEASE ANSWER!!!!! After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment. Show all work for full credit.

Answers

Problem
After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment.

Result
The initial investment was $6,333.

Solution
P = I/ i · t
P = 950/ 0.03 · 5
P = 6,333.333

5, -10, 15, -20,... sequence

Answers

5, 10, 15, 20, 25.

Switching it from positive to negative...
5, -10, 15, -20.

Next number will be positive.
And will be 5 more than 20...

25.

What is the maximum height of a projectile, such as a rocket, called?

Answers

Since we are talking about a parabolic curve, the highest point it reaches would be called the "vertex" in terms of math.

What's the sum of all the integers between √3 and √89 ?

Answers

So the closest integer above the square root of 3 is 2, and the closest integer below the square root of 89 is 9. (square root of 4 and 81, respectively.)

So we just want to add together all numbers between (including) 2 and 9.

So,

2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

Or,

11 * 4

44

The greatest common factor of 56 f^3g^2 and 70 fg^3 is 7 fg^3 .
true or false

Answers

The answer would be false

Answer: False

Step-by-step explanation:

You can see 7*3*2*f*g is not the same as 7fg3, so the statement is false.

A handyman charges fixed or r to visit a customer house in addition the handyman charges an hourly rate of H for each hour worked write a formula to represent T the total amount this handyman would charge for a job that requires N hours of work

Answers

NH+r=T
The hours times the hourly rate plus the one time fee equals the total amt. of money

Answer:

T = HN + r

Step-by-step explanation:

A handyman charges $H for each hour worked.

If the handyman works for N hours then the expression for the charges will be = $HN

Handyman charges a fixed amount = $r

Then the total amount charged T will be represented by

T = HN + r

Therefore, formula to calculate the total charges by handyman will be

T = HN + r

You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600?

Answers

5% = $ 25 from $ 500
$ 600/25 = 24

Hi there! $500 is currently in the bank and you earn 5% interest. 500 * 5% (0.05) is 25. You earn $25 in interest in 1 year. 500 is 100 a way from 600. 100/25 is 4. It will take 4 years for the account to reach $600.

Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings. How many months will it take for her to reach her goal of $1,350
16 months
14 months
18 months
12 months

Answers

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
$1350 - $174 = $1176 (left to collect)
$1176 : $84 ($ per month) = 14 months

Plot the line for the equation on the graph. y−2=−2(x+4)

Answers

It's (-3,-6). The -3 is the x axis and the -6 is the y axis

The plot of the given line is required.

The graph is shown below with two points [tex](0,-6)[/tex] and [tex](-3,0)[/tex].

The line is

[tex]y-2=-2(x+4)\\\Rightarrow y=-2x-8+2\\\Rightarrow y=-2x-6[/tex]

Let us find two points on the line

[tex]x=0[/tex]

[tex]y=-2\times0-6=-6[/tex]

[tex](0,-6)[/tex]

[tex]y=0[/tex]

[tex]0=-2x-6\\\Rightarrow x=\dfrac{6}{-2}=-3[/tex]

[tex](-3,0)[/tex]

Join the two points on the graph and the line will be constructed.

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2− ​0.5n=3n+16

Help

Answers

2 - 0.5n= 3n+16
-----------------------            subtract 2 from both sides
-2                   -2

-0.5n = 3n+14
-----------------------             then subtract -3n from both sides as well
-3n       -3n

-3.5n = 14
---------------                       divide -3.5 on each side
-3.5       -3.5
                                        simplify
Answer: n= -4
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