Mathematics Middle School

Write the repeating decimal 0.1515... as a fraction

pls explain

Answers

Answer 1
Answer:

533

Explanation:

We first let 0.¯¯¯¯15 (15 being repeated) be x.

Since x has 2 decimal places recurring, we multiply it by 100.

x=0.151515....
100x=15.151515...

Next, we subtract them.

100x−x=15.151515−0.15151599x=15

Lastly, we divide both sides by 99 to get x as a fraction.

x=1599=533
Answer 2
0.1515 repeating
simplify it to the hundreds

0.15 (simplified)

0.15 = 15/100 (change to fraction)

15/100 = 3/20 (simplest form)


hope this helps

Related Questions

Is 3/6 grater then 1/8

Answers

True

3/6 = 0,5

1/8 = 0,125

0,5 > 0,125

Answer: 1/6  1/8


Step-by-step explanation:


mx+nx=p solve for x please

Answers

x(m+n) = p
x = p/(m+n)

Hope this helps!

The width of a rectangle is 3 inches less than twice the length. If the length of the rectangle is represented by L, write an algebraic expression to represent the width.

Answers

2L - 3 = Width
so if Width = w
w = 2L - 3

You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account. How much money will be in the account after 4 years?


I need to know asap.

Answers

In four years you will have $2,400
4 years = 2,400
Sorry if I'm wrong
Good luck!

Which ratio forms a proportion with 25/35

Answers

25:35

25/5:35/5

5:7

your ratio is 5:7

hope this helps

Very small numbers are often written in exponential form using scientific notation to make them easier to multiply or divide. Explain how to apply the laws of exponents when multiplying and dividing numbers written in scientific notation.

Please give a detailed and accurate explanation that demonstrates a full understanding. Thanks for any help. :)

Answers

The laws of exponents that are applied in standard form are:

[tex]x^m*x^n=x^{m+n}[/tex]
[tex] \frac{x^m}{x^n} =x^{m-n}[/tex]

Example 1:
(6.25 × 10⁴) × (2.53 × 10⁻⁹)
(6.25×2.53) × (10⁴×10⁻⁹)
15.8125 × 10⁽⁴ ⁺ ⁻⁹⁾
15.8125×10⁻⁵

Example 2:
(3.65×10⁵) ÷ (1.45×10⁻²) 
(3.65÷1.45) × (10⁵÷10⁻²)
2.52×10⁽⁵ ⁻ ⁽⁻²⁾⁾
2.52×10⁵⁺²
2.52×10⁷

Find the quotient: 18,198 / 27 518 608 674 689

Answers

Final answer:

The quotient of dividing 18,198 by 27 is 674, as 27 times 674 equals 18,198, leaving no remainder.

Explanation:

The student has asked to find the quotient of the division of 18,198 by 27. To find the quotient, one would typically use long division. After setting up the long division, it turns out that 27 can be divided into 18,198 exactly 674 times, because 27 times 674 equals 18,198.

To solve this, you would write 18,198 as the dividend and 27 as the divisor. Then you would see how many times 27 can go into 181 (the first three digits of 18,198), which is 6 (since 27 x 6 = 162). You write the 6 above the third digit of 18,198, subtract 162 from 181, and bring down the next digit from the dividend, which is 9, making 198. Now you find how many times 27 can go into 198, which is 7 times exactly since 27 x 7 gives you 189. Subtract 189 from 198, and the result is 9, bringing down the last digit 8 to get 98. Finally, you divide 27 into 98 which is 3 times (since 27 x 3 = 81), subtract 81 from 98 to get 17. Since there are no more digits to bring down, we are left with a remainder of 17. Therefore, the quotient is 673 and the remainder is 17.

The quotient of 4/7  is a decimal number. How many digits in the quotient are overlined?

Answers

6 digits are overlined because the repeating numbers after the decimal is 571428.
she is right 6 digits

What mathematical operation "attaches" r and t in this formula:

d = rt


AND


What operation undoes the operation that "attaches" r and t?

Answers

Multiplication.
d=rt is d= r x t or d=r*t or d equals r times t.
The opposite of multiplication is division so the operation that would undo it would be division

The multiplication operation  "attaches" r and t in this formula and division will undo the operation.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression,

d = rt

Now rt is the multiplication of r and t it that r × t = rt so by multiplication its attaches.

Now in order to separate both.

Divide by r or t ⇒ d/r = t or d/t = r

Hence "The multiplication operation  "attaches" r and t in this formula and division will undo the operation".

To learn more about the arithmetic operators,

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Hank bought 2.4 pounds of apples. Each pound cost $1.89. How much did hank spend on the apples?

Answers

Hank spent $4.536 in all on apples!
1 lb      = $1.84
2.4 lbs = x amount of $

multiply 2.4 by 1.84 and you should get the correct answer. key word should, I haven't done problems like these in forever, so check it to make sure

A 20-minute TV program consists of two commercials, each 1 3/4 minutes long, and three equal‐length entertainment segments. How long is each entertainment segment?

Answers

Final answer:

To find the length of each of the three entertainment segments in a 20-minute TV program with commercials, we subtract the total time of the commercials from the total time of the program and divide the remaining time by the number of segments. This gives a length of 5.5 minutes for each segment.

Explanation:

To determine the length of each entertainment segment in this 20-minute TV program, we first need to subtract the total length of the commercials from the overall program length. The two commercials, each 1 3/4 minutes long, add up to 3 1/2 minutes.

20 minutes (total program length) - 3.5 minutes (total commercial time) = 16.5 minutes left for the entertainment segments.

As there are three equal‐length entertainment segments, we simply divide the remaining time by the number of segments:

16.5 minutes / 3 = 5.5 minutes.

Therefore, each entertainment segment is 5.5 minutes long.

Learn more about Time Calculation here:

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Final answer:

Each entertainment segment is 5.5 minutes long.

Explanation:

To find the length of each entertainment segment, we need to subtract the total time of the commercials from the total duration of the TV program.

The total time of the commercials is given as 1 3/4 minutes each, which is equivalent to 7/4 minutes each.

So, the total time of the commercials is 2 * 7/4 = 14/4 = 3.5 minutes.

Since we know that the TV program is 20 minutes long, the total time of the entertainment segments can be found by subtracting the time of the commercials from the total duration: 20 - 3.5 = 16.5 minutes.

Since there are three equal-length entertainment segments, we can divide the total time of the entertainment segments by 3: 16.5 / 3 = 5.5 minutes.

Therefore, each entertainment segment is 5.5 minutes long.

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savannah is painting a striped background for a mural on a wall that is 15 yards long. she wants a total of 96 stripes that’s are all the same width. which calculation should savannah use to decide how wide to make each stripe?

Answers

Answer: D

15/1 x 1/96 x 36/1 =5.625

Final answer:

To determine the width of each stripe, Savannah needs to divide the total length of the wall by the number of stripes she wants.

Explanation:

To determine the width of each stripe, Savannah needs to divide the total length of the wall by the number of stripes she wants. In this case, the wall is 15 yards long and she wants 96 stripes. So, she should use the calculation 15 yards / 96 stripes = 0.15625 yards. Therefore, each stripe should be approximately 0.15625 yards wide.

what characteristics make Ur an advanced city?

Answers

Well, how ur is a wealthy city they worshipped many gods, and that's where the prophet Abraham lived

General Product Inc. distributed 100 million coupons in 2016. The coupons are redeemable for 30 cents each. General anticipates that 70% of the coupons will be redeemed. The coupons expire on December 31, 2017. There were 45 million coupons redeemed in 2016 and 30 million redeemed in 2017. What was General's coupon promotional expense in 2017?

Answers

Hello,

We want to find out the value of all the coupons redeemed in 2017. If there were 30 million coupons redeemed in 2017 and each coupon is worth 30 cents, we multiply 30 million coupons and 0.30 dollars to get the value of coupons. (We use 0.30 dollars as multiplying by 30 will give us the amount in cents, not dollars)

So, we have:
30,000,000 * 0.30 = 9,000,000

General's coupon promotional expense in 2017 is 9 million dollars.

Hope this helps!

Jim makes the following conjecture: other than 1, there are no numbers less than 100 that are perfect squares and perfect cubes. what is a counterexample that proves his conjecture false?

Answers

The number 64 is a counterexample to Jim's conjecture because it is the square of 8 and the cube of 4. A fast way to solve this problem is to list out the perfect cubes that are less than 100 and check if any of them are also perfect squares. A perfect square is a number which can be written as another number multiplied by itself, and a perfect cube is one which can be written as a number multiplied by itself twice. The perfect cubes less than 100 are as follows: 1*1*1 = 1 2*2*2 = 8 3*3*3 = 27 4*4*4 = 64 Now we can calculate perfect squares until we find one in this list 1*1 = 1 2*2 = 4 3*3 = 9 4*4 = 16 5*5 = 25 6*6 = 36 7*7 = 49 8*8 = 64 We see that 64 is in the list of perfect squares and perfect cubes, so this is a counterexample to Jim's conjecture.

y=x+2
and then you have x=-3


You also have to use transitive property

Answers

If y = x+2 and x = -3 then we can say that y = -3+2 after replacing the 'x' with -3

From here, we just add -3 and 2 to get -1 which is why y = -3+2 turns into y = -1

So together x = -3 and y = -1

They pair up to form (x,y) = (-3,-1)

Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? $64.00 $88.00 $155.00 $620.00.Please help I am on a time limit!!!!

Answers

You want to multiply 87.60 and 25.60 by 10. 87.60x10=876. 25.60x10=256.876-256=620. Then you will take 1/4 of 620 to get the answer 155 is what she paid for lessons.

Answer:

$155.00

Step-by-step explanation:

Jinni deposited $87.60 every month for 10 months, this represents a total of

[tex]\$87.60(10)=\$876[/tex]

But, she used $25.60 every month to pay for music classes, the total money spent is

[tex]\$25.60(10)=\$256[/tex]

So, she has in her bank account

[tex]\$876 - \$256 = \$620[/tex]

Then, she uses 1/4 of the total money left ($620) to go to a summer camp, which is

[tex]\frac{1}{4}(\$620)=\$155[/tex]

Therefore, she spent $155 to go to the summer camp. So, the right answer is the third option.

Diana has z gerbils. Jackie has 4 times as many gerbils as Diana. If w stands for the number of gerbils Jackie has, express w in terms of z, and state the independent and e dependent variables in the equation.

Answers

Gerbils Diana has = z

Gerbils Jackie has = 4z = w

Hence, w = 4z

Independent Variable is a variable that stands alone and isn't changed by the other variables you are trying to measure.

Hence, the independent variable is z here.

Dependent Variable is something that depends on other factors. 

Hence, the dependent variable is w here.


Dina =z gerbils
Jacki =4z
W = 4z
Independent:z
Dependeny:w

insert commas in the following numbers 13886 365 719463 40047209 2145739180 1783457

Answers

13,886
365
719,463
40,047,209
2,145,739,180
1,783,457
Number 1: 13,886
Number 2: 365
Number 3: 719,463
Number 4: 40,047,209
Number 5: 2,145,739,180
Number 6: 1,783,457

21=cd+e solve for d ( please help!!)

Answers

[tex]21=cd+e \ \ \ \to \ \ \ 21-e=cd \ \ \ \to \ \ \ d= \cfrac{21-e}{c} [/tex]
Here's the answer in more detail.

What is 1/2 x 1/3 in not simplest form and in simplest form

Answers

3/6×2/6
= 6/6 not simplified
=1 simplified
To multiply fractions, just multiply across the fraction bar
[tex] \frac{1}{2} [/tex]·[tex] \frac{1}{3} [/tex]=[tex] \frac{1}{6} [/tex]
This already being in simplest form

~I hope this helps~

HELP MEH, PLEASE. :3

1. c = x + h, solve for x
2. gh = w, solve for h
3. a - b = k, solve for a
4. r ÷ k = w, solve for r

Please HELP!!
WOULD THEY STAY THE SAME?
THANK YOU!! :)

Answers

I hope I help you ^^....

simplify (a+3)(a-2) I need to show my work...thanks!

Answers

(a+3)(a-2)
a^2-2a+3a-6
a^2+1a-6
^ = the exponent so if i have a^2 that is a squared. a^3 is a cubed. 
a^2 - 2a + 3a - 6 because a*a = a^2, a*-2 = -2a, 3*a = 3a, and 3*-2 = -6. 
a^2 + a - 6 because of combining like terms. 

how do i translate this?

Answers

To translate the points, move each point making up the triangle 3 units up the y-axis and 4 units to the left of the x-axis as the directions say. 

The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?

Answers

that would be 42(x) greater than 809(x)

Factor x2 + 4x + 4! Please help!

Answers

This is a whole squared equation. So, it is (x+2)^2.
If you check it, you get x2 + 4x + 4

Hope this helps!
The answer should be (x + 2)^2 because when factoring using grouping, you can rid of two x's from the first two terms, and you can factor 4 into 2 * 2. Factoring the first two terms rids of the first and leaves two x's in the second. You can check if i'm right by multiplying (x + 2) (x + 2). This should give x^2 + 2x + 2x + 4. Simplyify this into x^2 + 4x + 4 by combining like terms. Hope this helps. 

Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f ∥ g?

Answers

The Answer is Option D, which is d.

If f is parallel to g, then c should equal 75 degrees because c and 75 degrees are vertical angles. If C is 75 degrees then D must equal 105 degrees because c and d are both on the left side of line f which means they must add up to 180 degrees, which should get you to this equation: c + d = 180. We can replace c for 75 because we already known that, which should get you: 75 + d = 180. So you should then subtract 75 against 180 to get your answer: d = 105.


Hope this helps, Have a good day!


A Brainliest would be nice.

Final answer:

The question likely pertains to the geometry principle of parallel lines and transversals. To determine which angle would need to measure 105° for line f to be parallel to line g, we'd need more context or a diagram. Typically, congruent corresponding or alternate angles would indicate parallel lines.

Explanation:

This question appears to be related to parallel lines and transversals in geometry. However, without a clear diagram or proper context, it's hard to definitively state which angle should be 105° to prove that f is parallel to g. Typically, corresponding angles, alternate interior angles, or alternate exterior angles are congruent (equal) when two lines are parallel and cut by a transversal. For instance, if 'a' and 'b' form corresponding angles with the transversal, and angle 'a' is given as 105°, then angle 'b' would also be 105° for the lines to be parallel. This corresponds to the angle properties of parallel lines.

Learn more about angles here:

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is 1/5 bigger than 20 and 20.6?

Answers

Answer: "No"; and "no".

"1/5"  is smaller than "20" and" "20.6".
________________________________
Note: "1/5" = "0.8";  which is MUCH smaller than "20" and "20.6".
______________________________________________________

The temperature in Jonestown and Cooperville was the same at 1:00. By 2:00, the temperature in Jonestown dropped 10 degrees, and the temperature in cooperville dropped 6 degrees. By 3:00 the temperature in Jonestown dropped 8 more degrees, and the temperature in coopervi dropped 2 more degrees.

Answers

Final answer:

The subject of this question is Physics as it involves the concept of temperature and the change in temperature over time.

Explanation:

The subject of this question is Physics as it involves the concept of temperature and the change in temperature over time.

Step 1: At 1:00, the temperature in Jonestown and Cooperville was the same.

Step 2: By 2:00, the temperature in Jonestown dropped 10 degrees and the temperature in Cooperville dropped 6 degrees.

Step 3: By 3:00, the temperature in Jonestown dropped an additional 8 degrees and the temperature in Cooperville dropped an additional 2 degrees.

Therefore, the subject of this question is Physics and the grade is High School.

help me with question 2 plss

Answers

i cannot do this because it wont let me look at the attachment i am sorry
[tex]\frac{p^{3 \cdot 4}}{q^4} \times \frac{9q^{4\cdot2}}{p^{3\cdot2}} = \frac{p^{12}}{q^4} \times \frac{9q^{8}}{p^{6}} = {p^{12-6}} \times 9q^{8-4}}} = 9p^6q^4[/tex]
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