If x = 745/999, then
999x = 745
1000x - x = 745
This equation tells us that the fractional part of 1000x and x cancel upon subtracting. This means the block of repeating digits must be 3 digits long.
To verify this, suppose we write x = 0.yyy… , where y consists of 3 digits. Then
1000x = y.yyy…
1000x - x = y.yyy… - 0.yyy…
999x = y
x = y/999
which means y = 745.
Answer:
3 digits
Step-by-step explanation:
For what values of x is the equation X^2-x=20 true?
Answer: x = 5 or x = -4
Step-by-step explanation:
Given equation
x² - x = 20
Subtract 20 on both sides
x² - x - 20 = 0
Cross factorize the equation
x -5
x 4
Factorize the equation
(x - 5) (x + 4) = 0
[tex]\boxed{x=5}[/tex] or [tex]\boxed{x=-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
_______is the process of paying off a debt with regular fixed payments.
In the triangle above, Eight-fifteenths represents which ratio?
A right triangle is shown. Side A B has a length of 15, side A C is 8, and side C B is 17. Angle A is a right angle.
Answer:
a
Step-by-step explanation:
PLEASE HELP.I WILL MARK YOU BRAINLIEST
A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?
==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
Can someone help me!!!
4x+3=3x+13(Alternative interior angles)
4x-3x=13-3
x=10
Value of each angle=43 each
An 8-pack of board games costs $34.00. What is the unit price?
Step-by-step explanation:
Each unit would be $4.25
Answer:
8/$34.00 divided by 8 = 1/$4.25. 1 board game costs $4.25. hope this helps
Step-by-step explanation:
- Zombie
How do you find the slope of (-2,-2) and (4,1) the line passing through the points
Help me plssssssdsssss
Answer:
The graph is not a function
Step-by-step explanation:
Since the vertical line will pass through more than one point, the graph passes the vertical line test. Therefore, the relation Is Not a function
Help plz i will mark brilliant
Answer:
a=100 b=50 c=30
Step-by-step explanation:
30+50+a= 180, A= 100.
90+40+b=180, B=50
A+B+C= 180
100+50+c=180, C=30
bob pays his gym 99 per month and can attend 12 group classes. each additional class costs 5. if his bill for the month was 124, how many extra classes did he attend
simplify the polynomial. answer in standard form
Answer :
y^2 - 4y + 3
Step-by-step explanation:
You have to distribute.
how to convert quinary into binary numbers
Answer:
Step-by-step explanation:
how to convert quinary into binary numbers?
If this means x in base 5 is equal to y in base 2
You just have to divide in base 5 by 2
Let's take an example.
[tex](14)_5= (? )_2\\\\\begin{array}{c|c}14&1\\4&0\\2&0\\1&1\\0\\\end {array}\\\\\\\\[/tex]
[tex]Read\ from\ down\ to\ up ==> 1001\\\\[/tex]
[tex]Explanation:\\(14)_5=1*5+4=9\ in\ base\ 10\\\\[/tex]
[tex]in\ base\ 5\\4*2=13 \\14=4*2+1\\4=2*2+0\\2=1*2+0\\1=0*2+1\\[/tex]
[tex]So\ (14)_5=(1001)_2\\[/tex]
The quotient of 105 and the sum
of one and four.
Answer:
21
Step-by-step explanation:
105/(1+4)
= 105/5
= 21.
I really need help with this problem please help!!!
Answer:
Option C
Step-by-step explanation:
[tex]( { - 2m}^{3} {p}^{2} ) {}^{4} [/tex]
[tex] {( { - 2m}^{3}) }^{4} \times ( { {p}^{2} )}^{4} [/tex]
[tex] {16m}^{12} \times {p}^{8} [/tex]
Answer:
[tex] {( - 2 {m}^{3} {p}^{2}) }^{4} \\ = { (- 2)}^{4} { {m}^{3} }^{4} { {p}^{2} }^{4} \\ = 16 \times {m}^{12} {p}^{8} \\ c \: is \: ur \: answer \: \\ thank \: you[/tex]
Write the slope-intercept form of the
equation that passes through: (4,2),
parallel to y = x-3
I tried to answer myself but somehow got it wrong, would like to know what I did wrong
Help plssssss
1. (x +3) 2
2. 6÷2(1+2)
3. 15-1(12÷4+1)
Please say me the answer fast and correct....
Answer:
i dont know lol
Find the missing angle and x
the correct answer of this question is 32 I mean the value of X is 32
help me please i appreciate it
Answer:
17.5
plsss mark brainliestt
Step-by-step explanation:
10÷4=2.5
7×2.5=17.5
Answer:
4/7=10/x
or, 4×x=10×7
or, 4x=70
or, x = 70/4
or, x = 17.5
Thus, x is 17.5
Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill and Phil to have the same weight? (Please provide the equation and the answer.)
The answer should be 3 months
Answer:
it will take 5 months
Step-by-step explanation:
Find AC if AB = 1, AC = 2x + 26, and BC = x + 16
Answer:
8
Step-by-step explanation:
AC=AB+BC
2X+26=1+x+16
2x-x=1+16-26
X= - 9
Now, AC=2X+26
=2*-9+26
= - 18+26
=8
The sum of the first two numbers is 3. The difference of the
third number and the second number is 3. The sum of the first number and twice the third
number is 10. Find the three numbers
Answer:
Step-by-step explanation:
if 9m + 18= -27, then 4m - 5= ? Please help!
two billion,twenty million,five hundred thousand,nine hundred
In number form
Answer:
the answer = 2,020,500,900
The function y=2.5x+3 can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles
A. $3
B. $1
C. $2.50
D. $5.50
Answer:
C. $2.50
Step-by-step explanation:
x=1 y=5.5
x=2 y=2.5
Answer:
y=2.5x+3Compare to slope intercept form y=mx+b
Slope=m=2.5y intercept=b=3Sl
Here the rate of change is $2.50
someone please help me with this
3x - y = 6 [x]
Answer: x=6+y/3
Step-by-step explanation:
3x=6+y
x=6+y/3
Perform the indicated operations. Write the answer in standard form, a+bi.
(9 + 2i)(9 - 2i)
Answer:
It can't be expressed in that form
Step-by-step explanation:
From difference of two squares:
[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]
a » 9
b » 2i
[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]
but i² is -1 [ complex numbers ]
[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]
Answer:
[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]
Which graph represents the solution set to the system of inequalities?
{ y<−1/2x+2
y≥−3/2x+2
Answer:
The answer must be B because the rest are not possible.
Step-by-step explanation:
ana sold $234,654 in Sales. She
earns a 14.5% commission on all
Sales. Find her commission
Answer:
34024.83
Step-by-step explanation:
Aaron has 15 books to put on shelves. He wants to put the same number of books on each shelf. Which of the following lists shows all of the choices for how many books to put on each shelf?
Answer:
3 books on each shelf
5 books on each shelf
Step-by-step explanation:
