To express 12.405 as a mixed number in simplest form, the whole number part is 12, and the decimal .405 is equivalent to 405/1000, which simplifies to 81/200, resulting in the mixed number 12 81/200.
Explanation:To express the decimal 12.405 as a mixed number, we first recognize that the number to the left of the decimal point is the whole number part, which is 12. The decimal part is .405, which we need to convert to a fraction. Since .405 has three decimal places, it is equivalent to 405/1000. However, we must simplify this fraction to its simplest form.
We find the greatest common divisor (GCD) of 405 and 1000, which is 5. Dividing both numerator and denominator by 5, we get 81/200. Thus, the mixed number equivalent of 12.405 in simplest form is 12 81/200.
An important note to consider is that when working with significant figures, the number of decimal places in the original number is maintained in the fractional part of the mixed number. Therefore, in a scientific context, the number of significant figures can influence the final result.
Evaluate the expression for the given values.
mx−y when m=2, x=7, and y=5
Discussion Explain why 2 < x < 6 can be considered the short method for writing the AND compound inequality x > 2 AND x < 6.
Which integer is less than –4?
A.
–6
B.
–2
C.
0
D.
3
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
How do you read 12.0045 in standard form
2/5 (y-40) = 5 (solve for y)
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.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5
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
Three equivalent ratio of 36:48
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
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.
To learn more about slope intercept form click here ,
https://brainly.com/question/12005129
#SPJ6
#SPJ6
What is 51/8 as a mixed number?
John has 2,456 pennies in his coin collection. He has the same number of pennies in each of 3 boxes. Estimate to the nearest hundred the number of pennies in each box.
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.
PLEASE MARK BRAINLIEST
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
simplify the following expression: 2(6x + 18)
a. -12x + 36
b. 8x + 20
c. 6x + 36
d. 12x + 36
What is 39.39 rounded to the nearest 10th
Simon has a bag of marbles. Six are green marbles, four are red, two are blue and ten are black. If he selects one at random, the probability that it will be black is
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
why is scientific notation useful? how is scientific notation used in the real world?
Write an algebraic expression for each verbal expression
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.
Learn more about the rounding off number here:
https://brainly.com/question/13391706
#SPJ2
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.
Learn moreSolve one of the variables of the equation to become the subject https://brainly.com/question/6465937# The inverse of a function https://brainly.com/question/3225044What is the simplified form of 5(14 - 2)² ÷ 2 ? https://brainly.com/question/1602237Keywords: what’s b = 3x + 9xy?, solving the equation for x, solve for x, both sides, divide, GCF, subject, steps, b/(3 + 9y)
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
Pls help
Simplify
6m+ 7n+ 5m - 3n
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
To learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
An Apple orchard sells apples in bags of 10. the orchard sold a total of 2,430 apple One day. how many bags of apples was this?
if x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?