Answer:
2 and 1/8
Step-by-step explanation:
Reduce fractions where possible.
Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.
[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.
The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].
Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]
[tex]= \frac{11}{4}[/tex]
Now, we can rewrite the expression as:
[tex]\frac{1}{8} \div \frac{11}{4}[/tex]
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{1}{8} \times \frac{4}{11}[/tex]
Next, let's simplify the multiplication:
[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]
We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
[tex]\frac{4}{88} = \frac{1}{22}[/tex]
Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].
To learn more on Fractions click:
https://brainly.com/question/10354322
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help meeeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
What do the two lines in the graph below have in common?
Answer: Parallel and same slope
Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.
branliest plssss :)
Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?
Answer:
[tex]280 \: dollars[/tex]
Step-by-step explanation:
[tex]3500 \times .08 = 280[/tex]
Simple as that ^^^ Just find 8% of 3500
280,00$
8% of 3500$ equals to
(8/100)*3500=
280,00$=
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
help pls ?? anyone ?? :(
7. yes
8. yes
9. no
10. no
Need all these questions answer plz
Step-by-step explanation:
1 result(s) found
x
2
−x−3
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x3 + 3x2 - 7x - 12
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -12.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,6 ,12
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-2 1 -2.00 6.00
-3 1 -3.00 9.00
-4 1 -4.00 0.00 x + 4
-6 1 -6.00 -78.00
-12 1 -12.00 -1224.00
1 1 1.00 -15.00
2 1 2.00 -6.00
3 1 3.00 21.00
4 1 4.00 72.00
6 1 6.00 270.00
12 1 12.00 2064.00
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
x3 + 3x2 - 7x - 12
can be divided with x + 4
Polynomial Long Division :
2.4 Polynomial Long Division
Dividing : x3 + 3x2 - 7x - 12
("Dividend")
By : x + 4 ("Divisor")
dividend x3 + 3x2 - 7x - 12
- divisor * x2 x3 + 4x2
remainder - x2 - 7x - 12
- divisor * -x1 - x2 - 4x
remainder - 3x - 12
- divisor * -3x0 - 3x - 12
remainder 0
Quotient : x2-x-3 Remainder: 0
Trying to factor by splitting the middle term
2.5 Factoring x2-x-3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
2.6 Cancel out (x+4) which appears on both sides of the fraction line.
Final result :
x2 - x - 3
Terms and topics
More Icon
Polynomial root calculator
Polynomial long division
Related links
More Icon
Root Finder -- Polynomials Calculator
How to factor five term polynomial - Yahoo Answers
Long Polynomial Division
Polynomial long division - Wikipedia
Polynomial Long Division
Polynomials - Long Division
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
I need help with this
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
Line AB is 14 inches long. What is the approximate area of the circle?
615.44 inches
21.98 inches
153.86 inches
43.96 inches
Answer:
The third one is closest
Step-by-step explanation:
half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804
Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?
Answer:
the product of the two integers is -80
Answer:
-80
Explanation:
it was on a mathcounts competition
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
Find the slope of the line
(1,-5),(-4,0)
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
helppppppppp pls
yhghfhcgfvg
Answer:
Length of the side is 10 for a
Each side for b is 3
Step-by-step explanation:
Answer:
50 and the second one is 3
Step-by-step explanation:
to get the length from each side the area divide the area by 2 and to get the length for each side from the total perimeter then divide by 4
help i need to pass:/
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
Help plz and thanks
Answer:
8
Step-by-step explanation:
4x4=16x8=128
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?
Given:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).
To find:
The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.
Solution:
The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).
If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then
[tex]A(2,3)\to A_1(2,-6)[/tex]
[tex]B(5,6)\to B_1(5,-3)[/tex]
[tex]C(8,6)\to C_1(8,-3)[/tex]
[tex]D(8,3)\to D_1(8,-6)[/tex]
Then the figure rotated 180 degrees clockwise about the origin. So,
[tex](x,y)\to (-x,-y)[/tex]
[tex]A_1(2,-6)\to A'(-2,6)[/tex]
[tex]B_1(5,-3)\to B'(-5,3)[/tex]
[tex]C_1(8,-3)\to C'(-8,3)[/tex]
[tex]D_1(8,-6)\to D'(-8,6)[/tex]
So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".
Therefore, the correct option is D.
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
Which expression is equivalent to 5 (h + 9)?
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz
Answer:
(-5, 0.5)
Step-by-step explanation:
-12+2/2= -5
-9+10/2= 0.5
(-5, 0.5)
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
7(y-2)=7y-14 I’m kinda confused
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
The sum of triple a number d and 5
(it’s translating expressions)
Answer:
3d+5
Step-by-step explanation:
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
Solve for y.
C=8(y + k)
Answer:
C/8 -k= y
Step-by-step explanation:
C=8(y + k)
Divide each side by 8
C/8 = y+k
Subtract k from each side
C/8 -k = y+k-k
C/8 -k= y
Answer: y = C /8 − k
Step-by-step explanation: