1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
What is 6 3/4 percent of 800
Answer:
answer is 746.
have a nice day and do good in math
What is a common denominator for 1 3/4 and 1 4/5
Answer:
20
Step-by-step explanation:
A common denominator is a number that is a multiple of both denominators.
To find it just write the multiplication table of the numbers and find a number that appears in both of them.
In this case, we have 4 and 5:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.
[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]
no link no bot right please
9514 1404 393
Answer:
10.49
Step-by-step explanation:
Since we know 110 = 10² +10, we can make a first approximation to the root as ...
√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root
This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.
One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.
((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49
An approximation of √110 accurate to hundredths is 10.49.
__
The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.
For n = s² +r, the first approximation is ...
√n = s +r/(2s+1)
An iterated approximation is ...
s + r/(s +(s +r/(2s+1)))
The adds 's' to the approximate root to make the new fraction denominator.
For this root, the refined approximation is ...
√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49
_____
Additional comment
Any square root can be represented as a repeating continued fraction.
[tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]
If "f" represents the fractional part of the root, it can be refined by the iteration ...
[tex]f'=\dfrac{r}{2s+f}[/tex]
__
The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.
Which is greater, -6.4 or -6.5? please explain !!
Answer:
-6.4 is GREATER.
The number closest to 0 is greater.
Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)
Answer:
15:8=15/8
Step-by-step explanation:
45:24=45/24
15/8=15:8
what is 433.54 in terms of pi?
Answer:
The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".
Step-by-step explanation:
got the information from the internet
plsssss helpppppp i’ll give brainliest
Answer:
[tex]-6\leq x\leq 6[/tex]
Step-by-step explanation:
This is answer for the last question.
Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ
Answer:8x-40
Step-by-step explanation:
Because when we simply 4(x-5)/2
We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).
Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help
6 + 2f = 8
f =
what the awnser i need help
Answer
f= 1
step by step explanation
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?
Answer:
.25
Step-by-step explanation:
Help help math please please
Answer:
x = 42
Step-by-step explanation:
2x + 8 + 2x + 4 = 180
4x + 12 = 180
4x = 168
x = 42
1/7 divided by blank equals 14
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]Step 2: Multiply both sides by 7x.
[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]Step 3: Divide both sides by 98.
[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]Step 4: Check if solution is correct.
[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]Therefore, the answer is 1/98.
Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.
Answer:
Yes, because (-1,2) is a solution to both inequalities
Step-by-step explanation:
2>-1 so the first inequality is correct
-1+2>0 so the second inequality is correct
1 32 multiplied by 0.32 when rounded to the nearest hundredths
Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20
A car salesman earns a 3% commission on sales. If he sells a car for AED 75,990, how much the commission amount will he earn if he sells 4 cars?
Answer:
AED 9118.80
Step-by-step explanation:
to find out how much he earns for 1 car, multiply 75990 by 0.03 (3%). so the salesman earns 2279.70 per car sold. next, multiply this number by 4 to get the amount he earned for 4 cars: 9118.80
Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6
Answer:
d because your taking away 6 from the 275
Step-by-step explanation:
Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?
8x + 1/3 = 2/3 what is the answer?
Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4
Answer:
Step-by-step explanation:
0 = 5x + 7
-7 = 5x
x = - 7/5 = -1.4
Answer:
-1.4
Step-by-step explanation:
h(x)=0=5x+7
or, 5x= -7
x= -7/5= -1.4
Plot the point (6, 0) on the coordinate plane.
Answer:
Just go to the 6 on the bottom line, and add a point
Answer:
see below
Step-by-step explanation:
(6,0)
The first coordinate is the x coordinate. Since it is positive we go to the right 6 units. The second coordinate is the y coordinate. We go up zero units
Select all the correct answers.
Which statements are true about function g?
Answer:
i need the question
Step-by-step explanation:
Problem example: For the given sequence: -2,2,6,10,14,18
Write a recursive formula to find the nth term: a = an-1+4
Write a explicit formula to find the nth term: a = -2 + 4(n-1)
What is the 64th term in the sequence?
Answer:
250
Step-by-step explanation:
You can take the explicit formula and simply substitute the n value with 64:
-2 + 4 * (64 - 1)
-2 + 4 * (63)
-2 + 252
250
You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)
Answer:
Step-by-step explanation:
if 50 AED= 12 Euro
for 1 AED ? Euro
50AED/1AED= 12Euro/x
cross multiplication:
50*x=12*1
50*x=12
x=12/50
x=0.24 Euro
so for 1AED you will get 0.26 Euro
Is this a function or not a function?
Answer:
This is indeed a function
1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?
Answer:
2:1 or 2
Step-by-step explanation:
*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".
>> therefore 10/5 can be simplified to 2/1 )***
For every 10 notebooks, there are 5 ballpens.
Therefore, for every 2 notebooks there is 1 ballpen (The simplification).
EXTRA:
**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.
2/1 is not the same as 1/2 **
help plsssssssssssss
Answer:
with what
Step-by-step explanation:
Answer:
help with? there's nothing there
A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?
To answer this question, you would need to divide the total amount of cereal in the box by the serving size.
This would be 12 2/3 divided by 1 1/3.
We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3
Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2
Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.
Hope this helps
Find the product. Simplify your answer.
(m+2)(3m+2)
there you go the answer is in the picture
Differential Equation
1. The given equation is probably supposed to read
y'' - 2y' - 3y = 64x exp(-x)
First consider the homogeneous equation,
y'' - 2y' - 3y = 0
which has characteristic equation
r² - 2r - 3 = (r - 3) (r + 1) = 0
with roots r = 3 and r = -1. Then the characteristic solution is
[tex]y = C_1 e^{3x} + C_2 e^{-x}[/tex]
and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.
Now we use variation of parameters, which gives a particular solution of the form
[tex]y_p = u_1y_1 + u_2y_2[/tex]
where
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx[/tex]
and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is
[tex]W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}[/tex]
Then we find
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2[/tex]
so it follows that the particular solution is
[tex]y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}[/tex]
and so the general solution is
[tex]\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}[/tex]
2. I'll again assume there's typo in the equation, and that it should read
y''' - 6y'' + 11y' - 6y = 2x exp(-x)
Again, we consider the homogeneous equation,
y''' - 6y'' + 11y' - 6y = 0
and observe that the characteristic polynomial,
r³ - 6r² + 11r - 6
has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields
r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)
and from this we see the characteristic solution is
[tex]y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}[/tex]
For the particular solution, I'll use undetermined coefficients. We look for a solution of the form
[tex]y_p = (ax+b)e^{-x}[/tex]
whose first three derivatives are
[tex]{y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}[/tex]
[tex]{y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}[/tex]
[tex]{y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}[/tex]
Substituting these into the equation gives
[tex](-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}[/tex]
[tex](-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x[/tex]
[tex]-24ax+26a-24b = 2x[/tex]
It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is
[tex]y_p = -\dfrac{12x+13}{144}e^{-x}[/tex]
and the general solution is
[tex]\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}[/tex]