In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.
Explanation:When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.
Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.
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find the factors and the greatest common factor 375,66,333
Answer:
the greatest common factor is 3
Step-by-step explanation:
375: 1, 3, 5,11, 15, 25, 75, 125, 375
66: 1, 2, 3, 6, 11, 22, 33, 66
333: 1, 3, 9, 37, 111, 333
What’s b = 3x + 9xy ? Solving the equation for x.
Answer:
x= [tex]\frac{b}{3+9y}[/tex] .
Step-by-step explanation:
Given : b = 3x + 9xy.
To find : Solving the equation for x.
Solution : We have given
b = 3x + 9xy.
Taking common 3x from right hand side
b = 3x ( 1 + 3y).
On dividing both sides by 1 + 3y .
[tex]\frac{b}{1+3y}[/tex] = 3x
On dividing both sides by 3
[tex]\frac{b}{(3+9y)}[/tex] = x .
Therefore, x =[tex]\frac{b}{(3+9y)}[/tex] .
x = b/(3 + 9y)
Further explanation[tex]\boxed{ \ b = 3x + 9xy \ }[/tex]
In the equation, there are three variables, namely b, x, and y. The coefficients of x and xy are 3 and 9, respectively.
We need solving for x from the equation.
Let us reposition it by swapping sides. The aim is to prepare x as the subject on the left-hand side.
[tex]\boxed{ \ 3x + 9xy = b \ }[/tex]
On the left-hand side, 3x is pulled out of the brackets because it is the GCF (The Greatest Common Factor) of 3x and 9xy.
[tex]\boxed{ \ 3x(1 + 3y) = b \ }[/tex]
Both sides divided by 3(1 + 3y).
[tex]\boxed{ \ x = \frac{b}{3(1 + 3y)} \ }[/tex]
Hence, the final result is
[tex]\boxed{\boxed{ \ x = \frac{b}{3 + 9y} \ }}[/tex]
That's all the steps to get x as a subject.
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Three equivalent ratio of 36:48
Write an algebraic expression for each verbal expression
why is scientific notation useful? how is scientific notation used in the real world?
What is 39.39 rounded to the nearest 10th
567,433 to the nearest hundred thousand
The number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
What is rounding off the number?Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.
It is given that:
The number is 567,433
600,000
Rounded to the nearest 100,000 or
the Hundred Thousands Place.
Thus, the number 567,433 nearest hundred thousand is 600,000 after rounding off, the answer is 600,000.
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he earns $7 a week for each cat he feeds and $0.20for each email he answers. Marcus answered 140 emails and earned $49 last week. create an equation that will determine the number of cats he fed
Algebra 1: Consecutive Integers
If the sum of the first two consecutive even integers is equal to three times the third what are the three integers
Which integer is less than –4?
A.
–6
B.
–2
C.
0
D.
3
simplify the following expression: 2(6x + 18)
a. -12x + 36
b. 8x + 20
c. 6x + 36
d. 12x + 36
What is 855,000 in scientific notation
Evaluate the expression for the given values.
mx−y when m=2, x=7, and y=5
Eva would like to add paper streamer around the edge of a round table. The table covers an area of 19.5 square ft. What is the minimum length of the paper streamer Eva needs?
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page? Show your work.
The division is one of the four fundamental arithmetic operations. The number of pages of the album that are completely filled is 13, while the last page of the album has only 1 card.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Rafel has 118 baseball cards arranged in an album. Also, Each page of the album can hold 9 cards.
Therefore, the number of pages that will be full can be found by dividing the total number of cards available by the total number of cards that each page can have.
In the division, the quotient represents the number of pages which have 9 photos, therefore are full. And the remainder represents the number of photos that will be left on the last page.
The division can be carried out as shown below.
Hence, the number of pages of the album that are completely filled is 13, while the last page of the album has only 1 card.
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How do you read 12.0045 in standard form
if x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?
After 3.5 hours pasha had traveled to 17 miles if she travels at a constant speed how far will she have traveled after four hours
A town's population increases in one year from 100,000 to 110,000. If the population is growing exponentially at a steady rate, then at the end of a second year it will be
2/5 (y-40) = 5 (solve for y)
I need help solving these problem 14=8-6r
The solution of expression is, r = 1
We have to give that,
An expression to solve,
14 = 8 - 6r
Now, Simplify the expression by combining the like terms as,
14 = 8 - 6r
Add 6r on both sides,
14 + 6r = 8 - 6r + 6r
14 + 6r = 8
Subtract 14 on both sides,
6r = 8 - 14
6r = 6
Divide into both sides by 6,
r = 6/6
r = 1
Therefore, The solution is, r = 1
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In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
Equation in slope intercept form will be 5x + 20.
It is given that to join a online learning community, startup fee is $ 20 and the monthly fee is $ 5.
We have to write an equation in slope-intercept form.
What is the equation for slope intercept form ?
Equation for slope intercept form is y = mx + c.
Let's assume ;
y = total cost
x = months
c = startup fee
∵ equation in a slope intercept form is y = mx + c.
Putting the values , we get ;
y = 5x + 20
Thus the equation in slope intercept form will be y = 5x + 20.
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When you write a deposit slip, you put the cash and the checks in the same section True or False
Divide 28 cans of soda into two groups so the ratio is 3 to 4.
Nine cave explorers will carry 120 ft of the rope with them during an expedition next month what’s they total number of yards of rope that the explorers will carry
Slope=5,through(3,13)
Answer:
y=5x-2.Step-by-step explanation:
This question wants us to write the given line in a slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. We already know the slope, which is 5, so just insert 5 in for m. We get y = 5x = b. We're not done, however, we still need to solve for b. (3,13) equals 5(3)+b=13. This gives us our final result of b=-2. insert this into the equation for b, and the equation becomes y = 5x -2.
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A 16 foot piece of string is cut into two pieces so that the longer piece is 1 foot longer than twice the shorter piece find the length of both pieces
x = long piece
y = short piece
x = 2y+1
2y +1 +y =16
3y +1 = 16
3y =15
y = 15/3 =5
y = 5
x = 2(5) +1 = 11
short piece is 5 feet
long piece is 11 feet
Discussion Explain why 2 < x < 6 can be considered the short method for writing the AND compound inequality x > 2 AND x < 6.
What is 51/8 as a mixed number?
Pls help
Simplify
6m+ 7n+ 5m - 3n