How do we determine whether the decimal representation of a quotient of two integers, with the divisor not equal to zero, will terminate or repeat? Justify your reasoning.

Answers

Answer 1

Answer:

If the remainder we get is zero then it is terminating otherwise the number will be repeating.

Step-by-step explanation:

In order to find whether a number is terminating or repeating, divide the numerator with the denominator. If the remainder we get is zero, then it is a terminating number and if we do not get zero as remainder, it is a repeating number.

In division algorithm, when the remainder is zero, we get a terminating algorithm as the algorithm stops or terminates.


Related Questions

a sphere has a radius r=12 inches. What is it’s approximate volume

Answers

Answer: 7238.28

Step-by-step explanation:

Anthony has 15 coins, all of which are quarters and dimes. In all, they're worth $3.60. How many of each kind of coin does Anthony have?

Answers

Answer:

1 Dime

14 Quarters

Step-by-step explanation:

d + q = 15

0.10d + 0.25q = 3.60

d = 15 - q

0.10d + 0.25q = 3.60

0.10(15 - q) + 0.25q = 3.60

1.5 - 0.10q + 0.25q = 3.60

0.15q = 3.60 - 1.5

0.15q = 2.1

0.15q/0.15 = 2.1/0.15

q = 14

d = 15 - q

d = 15 - 14

d = 1

Which number line shows the points −125 and –2.8?

Answers

You didn’t send a picture so we can’t tell

Determine which of the lines, if any, are parallel or perpendicular. Explain.

Line A: 4x-3y=2
Line B: y=4/3x+2
Line C: 4y+3x=4

Answers

line A. line B. line C. it’s A

An investment that you bought for __________ and sold for __________ made a profit.
700-600
700-500
600-500
600-700

Answers

Step-by-step explanation:

600-700 is the correct answer

pls mark me as BRAINLIAST

600-700 !

explanation:
to make profit, you have to sell for a higher price than what you bought it for (:


write each percent as a fraction in simplest form
60%​

Answers

Answer: 3/5 i hope this helps god bless

Step-by-step explanation:

is this table a function? why or why not?

Answers

No. There has to be only one output for each input. Because the number two is an input twice and has two different outputs, this can not be a function
no because 2 has two different inputs

8 = r³
r = ?
Please......

Answers

r = 2

Explanation:
2 x 2 x 2 = 8
Therefore r = 2

Final Answer: [tex]r = 2[/tex]

Steps/Reasons/Explanation:

Question: [tex]8 = r^{3}[/tex]. [tex]r[/tex] = ?

Step 1: Take the cube root of both sides.

[tex]\sqrt[3]{8} = r[/tex]

Step 2: Calculate using a calculator.

[tex]2 = r[/tex]

Step 3: Switch sides.

[tex]r = 2[/tex]

~I hope I helped you :)~

Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax and explain your reasoning. *

Answers

Answer:

$42

Step-by-step explanation:

By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.

For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.

Given data

firstly let us solve for 40% of $30

=40/100*30

=0.4*30

=$12

therefore the sale price will be the markup rate plus the initial price

Hence the you will have to pay 12+30=$42

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings

Answers

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.

Answers

Answer:

they have to work 2 hours

Step-by-step explanation:

Jess has a $5+ x*$10

Sam has  x*$12.5

where x-is number of hour worked

after x=1 hour

Jess has a $5+ 1*$10=$15

Sam has  1*$12.5= $12.5

afterx=2 hours

Jess has a $5+ 2*$10=$25

Sam has  2*$12.5=$25

Factor the polynomials x^2 + 15x + 56

Answers

Final Answer: [tex](x + 7)(x + 8)[/tex]

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]

Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?

[tex]7[/tex] and [tex]8[/tex]

Step 2: Rewrite the expression using Step 1.

[tex](x + 7)(x + 8)[/tex]

~I hope I helped you :)~

The questions and options is on the image ;)

Answers

Answer:

the thie\rd one

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

it is 3/4 lol trust

The test scores for 15 students are 72, 74, 74, 79, 82, 82, 82, 82, 86, 86, 86, 87, 87, 89, and 92. Find the mean of the data. Round your answer to two decimal places.

Answers

76.53 i’m pretty sure.

Answer:

82.67

Step-by-step explanation:

1240 divided by 15 = 82.66667

Plz if u would mark me as brainlest!

Enter a range of values for x.

Answers

Can you give a picture of whatever your asking ?

give your answer as either an improper fraction or mixed number​

Answers

Answer:

1 1/10

Step-by-step explanation:

2 1/5= 2 2/10

33/10- 22/10= 11/10 or 1 1/10 or 1.1

BTW you can use google!

11/10 and i dunno what the mixed number is sorry

What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?

Answers

Answer:

74

Step-by-step explanation:

[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]

Evaluate: 4
4.[22 -(1 +0.5)

Answers

Answer:

82

Step-by-step explanation:

Answer:

20.5

Step-by-step explanation:

glad i could help!

what is the table of 75​

Answers

Step-by-step explanation:

75×1=75

75×2=150

75×3=225

75×4=300

75×5=375

75×6=450

75×7=525

75×8=600

75×9=675

75×10=750

Please help me I’m so desperate I need help please help me with questions 3,4 and 5 please

Answers

Answer:

The answer to number 3 is -2.

The answer to number 4 is 30,340 feet.

The answer to number 5 is 7 and -3.

Step-by-step explanation:

So much work, take it and go, lol.

Hope this helped! :)

Solve the system of equations using elimination.
3x-2y=5
x+2y=3

Answers

Answer:

x = 2

y = 1/2

Step-by-step explanation:

3x - 2y = 5

x + 2y = 3

We don't have to mutiply anything because we have values that we can eliminate.-2y and 2y can be crossed off becuase they have the same value and plus and minus cancel out. We can add instead of changing the signs.

4x = 8

x = 2

Now we know that x = 2. To find y we have to plug in x into one of the equations. I am going to use x + 2y = 3.

2 + 2y = 3

2y = 1

y = 1/2

Now we figured out y. I hope I helped!

A line passes through the points (-8,-4) and has a slope of 5/4.​

Answers

The answer is y=5/4x+6

plz help i will mark you brainlist this is due in 5 minutes

Answers

Answer: ion know help ur self

Step-by-step explanation:

Suppose 56 gallons of water came out of a pipe In 7 minutes.
What was the rate in gallons per minute?

Answers

56/7 = 8
8 gallons per minute

Answer:

8

Step-by-step explanation:

7 x 8 = 56

56 divided by 7 is 8

A school district has decided that students in grades 7 through 12 should receive 400 minutes of physical education every 10 school days. A gym teacher at one of the schools believes that his students are not meeting this criterion. She randomly selects 50 students and it is found that her students have a mean of 385 minutes and a standard deviation of 55 minutes. Is this evidence to support her claim?

Answers

Answer:

Yes

Step-by-step explanation:

Based on the information provided we can say that Yes, this is enough evidence to support her claim. Since the 50 students were randomly selected and the physical education criteria applies to all of the students in that grade range then these 50 students perfectly represent the total population. That being the case, the results gathered to show that with a standard deviation of 55 minutes some students are surpassing the requirement by very little but others are falling very far from that requirement. When it is a requirement for all of the students in that grade range. Therefore, it is enough to support her claim.

the order of the surd 6 √2187 after simplification is​

Answers

Answer:

[tex]n = 162[/tex]

Step-by-step explanation:

Given

[tex]6\sqrt{2187[/tex]

Required

Determine the order of the surd

If a surd is represented as [tex]n\sqrt{r[/tex], then the order of the surd is [tex]n[/tex]

[tex]6\sqrt{2187[/tex]

Express 2187 as [tex]3^6 * 3[/tex]

[tex]6\sqrt{2187} = 6\sqrt{3^6 * 3}[/tex]

Split the surd

[tex]6\sqrt{2187} = 6\sqrt{3^6} * \sqrt{3}[/tex]

Apply the following law of indices:

[tex]\sqrt{a} = a^{\frac{1}{2}}[/tex]

The expression becomes:

[tex]6\sqrt{2187} = 6 * 3^{\frac{6}{2}} * \sqrt{3}[/tex]

[tex]6\sqrt{2187} = 6 * 3^{3} * \sqrt{3}[/tex]

[tex]6\sqrt{2187} = 6 * 27 * \sqrt{3}[/tex]

[tex]6\sqrt{2187} = 162 * \sqrt{3}[/tex]

[tex]6\sqrt{2187} = 162 \sqrt{3}[/tex]

By comparing [tex]162 \sqrt{3}[/tex] to [tex]n\sqrt{r[/tex], we can say that:

[tex]n = 162[/tex]

[tex]r = 3[/tex]

Conclusively, the order of the surd is 162

help a girl out plz!! im confused

Answers

Answer:

30

Step-by-step explanation:

distribute the 5 to z and 4 --> 5z + 20

same with 5 to the 2 and -z --> 10-5z

5z + 20 + 10 - 5z = ? combind like terms

the z cancle out leaving 20 + 10 = ?

Answer:

20z-10z

Step-by-step explanation:

Distribute the 5 to both z and 4 which would make it 20z

Distribute the 5 to the 2 and -z which gives you 10z

Put them together and you get the answer

4x+3−2x=15
what is x?

Answers

Answer:

2

Step-by-step explanation:

4x+3-2x = 15

6x = 15-3

6x = 12

x = 12/6

X = 2

hope it helpful ✌️✌️

i got the answer of x = 6

If a baseball travels at 90 mi/h, how many seconds does it take to travel 60 ft.?

Answers

Answer:

0.458 seconds

Step-by-step explanation:

dont get mad when its wrong

0.458 seconds

You already know that the ball travels at 90 mi/hr. 60.5 1/475200 = 0.00012732 hours. This is still a small number so express it in seconds. 0.0076389 minutes = 60 0.0076389 = 0.458 seconds. (this from google btw)

How do you do this and what would the answer be.

Answers

If you add the same number together it is impossible for it to be a negative number

1 out of 3

Step-by-step explanation:

There are 5 cards. 3 of which are odd. if you lift 3 out of the five there is a 3 out of 5 chance itll be odd. while if it is only 3 cards. it would have to be a 1 out of 3 chance because there will always be an odd number involved.

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