Step-by-step explanation:
"properly" is very vague.
as your can imagine, particularly in math, where many things are commutative or have other degrees of freedom what do when in what sequence, you will find particularly for the little techniques many different approaches. and most of them are correct.
particularly today I keep scratching my head about what i think is immensely complicated but teachers swear they are helping the students.
anyway, this is how I do divisions by using an example :
73496 ÷ 17
the "window" I use to look at the first number is a long as the second number. in this case 2 digits.
step 1a :
as mentioned, we look at the 2 left most digits (73) and see how often 17 fits inside that as a whole :
73 ÷ 17 = 4
4×17 = 68, so we have a remainder of 73-68 = 5.
I write it like this :
73|496 ÷ 17 = 4
05 (4×7 = 28 and 5 is then 33, carry over 3,
4×1 = 4 plus carry 3 = 7, 0 difference)
step 1b :
pull the next position down
734|96 ÷ 17 = 4
054
step 2a :
we look at the bottom number and divide this by 17.
54 ÷ 17 = 3 and a remainder of 3.
734|96 ÷ 17 = 43
054
03 (3×7 = 21 and 3 is then 24, carry over 2,
3×1 = 3 plus carry 2 = 5, 0 difference)
step 2b :
pull the next position down
7349|6 ÷ 17 = 43
054
039
step 3a :
we look at the bottom number and divide this by 17.
39 ÷ 17 = 2 and a remainder of 5.
734|96 ÷ 17 = 432
054
039
05 (2×7 = 14 and 5 is then 19, carry over 1,
2×1 = 2 plus carry 1 = 3, 0 difference)
step 3b :
pull the next position down
73496| ÷ 17 = 432
054
039
056
step 4a :
we look at the bottom number and divide this by 17.
56 ÷ 17 = 3 and a remainder of 5.
73496| ÷ 17 = 4323
054
039
056
05 (3×7 = 21 and 5 is then 26, carry over 2,
3×1 = 3 plus carry 2 = 5, 0 difference)
step 4b :
pull the next position down. but we have reached the last position before the decimal point. from that moment on we create result numbers after the decimal point.
and because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.0| ÷ 17 = 4323.
054
039
056
050
step 5a :
we look at the bottom number and divide this by 17.
50 ÷ 17 = 2 and a remainder of 16.
73496.0| ÷ 17 = 4323.2
054
039
056
050
16 (2×7 = 14 and 6 is then 20, carry over 2,
2×1 = 2 plus carry 2 = 4, 1 difference)
step 5b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.00| ÷ 17 = 4323.2
054
039
056
050
160
step 6a :
we look at the bottom number and divide this by 17.
160 ÷ 17 = 9 and a remainder of 7.
73496.00| ÷ 17 = 4323.29
054
039
056
050
160
07 (2×7 = 14 and 6 is then 20, carry over 2,
2×1 = 2 plus carry 2 = 4, 1 difference)
step 6b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.000| ÷ 17 = 4323.29
054
039
056
050
160
070
step 7a :
we look at the bottom number and divide this by 17.
70 ÷ 17 = 4 and a remainder of 2.
73496.00| ÷ 17 = 4323.294
054
039
056
050
160
070
02 (4×7 = 28 and 2 is then 30, carry over 3,
4×1 = 4 plus carry 3 = 7, 0 difference)
step 7b :
pull the next position down. because the left number did not have any explicit digits after the decimal point, all the numbers we are pulling down now are 0.
73496.0000| ÷ 17 = 4323.294
054
039
056
050
160
070
020
and so on ...
If f(x) = 5x, what is f-1(x)?
Answer:
[tex]y = \frac{x}{5}[/tex]
Step-by-step explanation:
I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.
[tex]x = 5y\\y = \frac{x}{5}[/tex]
The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine
the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the
location of the earthquake's epicenter if it is 4 miles away from A (5,2), 3 miles away from B (-2,2), and 5 miles away from C (1, -3).
Answer:
The coordinates of the epicenter are (1,2) ie x=1, y =2
Step-by-step explanation:
We use the fact that the distance d between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²
Let the epicenter be located at (x, y)
Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>
(x-5)² + (y-2)² = 16 (1)
Similarly, the distance from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9 (2)
Distance from point C(1,-3) ==>
(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)
(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7 (4)
This simplifies to
x² + -10x + 25 - (x² +4x + 4) = 7
or
x² + -10x + 25 -x² -4x - 4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1
Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2
So we get the epicenter coordinates as x=1, y =2
Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16 Check!
Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9 Check!
Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5² Check!
what is the answer to this question ?
the given expression does not represent a polynomial
PLEASE HELP
find the length of sides
[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]
ANSWER THE QUETIONS CORRECTLY FOR BRAINLIEST (ALGEBRA)
List the angles of ABC in order from largest to smallest.
Answer:
BCA
CAB
ABC
that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.
Students were asked to choose their favorite season and 6/9 chose either spring or summer. If 5/9 chose spring, what fraction chose summer?
The fraction of people who chose summer is 1/9.
What is a Fraction ?Fraction is a number that represents the part of the whole.
It is given that
The fraction of people who chose either spring or summer = 6/9
This can also be represented as P( Spring ∪ Summer) = 6/9
P( Spring ∪ Summer) = P( Spring ) + P( Summer) ---------- (1)
It is also given that
The fraction of people who chose spring = 5/9
The fraction of people who chose summer = ?
From the equation 1
6/9 = 5/9 + P( Summer)
P( Summer) = 1/9
Therefore , The fraction of people who chose summer is 1/9.
To know more about Fraction
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solve the proportion 18/2 = t/7
Answer:
t=63
Step-by-step explanation:
2t = 126
t=63
I neeed help please ??!!!
Answer: 1 3/4
Step-by-step explanation:
8 1/2 - 6 3/4
change the 1/2 to 2/4
then take away 1 from 8 and add 4 to the 2 and it gets 6
6-3=3
7-6=1
In circle O below, segment RA is a diameter, arc RP = 98 degrees, and arc RQ = 68 degrees. Find the
measure of the indicated angle m<2=
Answer:
90°.
Step-by-step explanation:
if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.
What is the slope of the line in this graph?
А.5/9
В.5/7
C. 7/5
D. 9/7
Answer:
5/7
Step-by-step explanation:
It goes up 5, and goes to the right 7.
<~~• ¥ Pls HELP me!! ¥ • ~~>
Pls help me figure out the 3 boxes left pls help meet
Answer:
First box - divide both by 2
Second box - subtract 8 by 6
last box - subtract x
Answer:
1. 2
2. 4
3. 20
4. 10
5. 4
6. 4
Step-by-step explanation:
I'm not sure about the last one.
hope this helps
have a good day
Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. Write an equation that represents the total cost, c, of any item bought in Idaho whose price is p.
Dalia buys a backpack at a different store in Idaho. It is on sale for 30% off. Dalia pays $33.39 total (including sales tax). What was the original price of the backpack?
Answer:
Step-by-step explanation:
Discussion
Question One
The first question is just to derive a formula that represents the cost of anything bought in Idaho.
c = p + 6/100 * p
c = p + 0.6 * p
c = 1.06 p
Question Two
The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.
c = (p - 30/100 p) + 6/100*(p - 30/100 * p)
c = (p - 0.3p) + 0.06* (p - 0.3p)
c = 0.7 p + 0.06*(0.7p) Combine the right side
c = 0.7p + 0.042p Combine
c = 0.742p
33.39 = 0.742p Divide by 0.742
33.39/0,742 = p
p = 45 dollars
The original cost was 45 dollars
A line passes through the points (-2, 9) and (-1, 0). What is its equation in slope-intercept form?
Answer:
y=-9x-9
Step-by-step explanation:
Just plug in your Ys and Xs in order to get y=-9x-9
Please help!! Detailed steps please! Thank you so much
Which equation is equivalalent to 2x²-24x-14=0
A. (x-6)²=50 B. (x-3)²=13 C. (x-3)²=20 D. (x-6)²=43
Answer:
D
Step-by-step explanation:
2x²-24x-14=0
2(x²-12x-7)=0
x²-12x-7=0
Expand A, B, C, D
A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]
actually from here you can see B, C are not correct
D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)
|x-(-12)|; if x>-12 pls help!!!!
Answer:
because -12 is smaller than x
Step-by-step explanation:
for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign
If each interior angle of a regular polygon is 168 °, then the number of sides of the polygon is ….
each interior angle= 168°
to find:the number of sides the polygon has.
solution:180- 360/n= 168
12= 360/n
n= 360/12
n= 30
therefore, the polygon has 30 sides.
the answer to your question is 30 sides
hope this helps
36. A survey provides the data shown.
2, 5, 6, 6, 7, 7, 8, 8, 9, 11, 13
Which box plot represents the data?
T --
0
5
10
15
+→
15
5
10
+
0
5
10
15
D
--
0
5
10
15
Answer:
ad r4
Step-by-step explanation:
rfrrrrfe
Lily paid $208.50 for 2 identical necklaces and 3 purses. Serena paid $91.50 for 1 such necklace and 1 purse. Each purse cost the same. How much did a necklace cost?
please help! I have been absent and i don't know how to do. I will award u 20 points
Answer:
unsig elimination method to solve simultaneous equations
sorry about the other question i asked i didnt show the answer chooses so here you go.
Answer:
Goals are easier to achieve in small steps.
Step-by-step explanation:
In the story she scared and she dont want to run a mile but when she tried to run and aim for that goal she finish the 1 mile without noticing it so it better if you take little by little each time to conquer your fear :)
A line remains _______ if the center of dilation is on the line
Answer:
same
Step-by-step explanation:
A line remains same if the center of dilation is on the line.
8. A woman decides to go for a 10-minute run every day this week and plans to increase the time of her daily run by 4 minutes each week. Write a formula for the time of her run after n weeks. How long will her daily run be 8 weeks from today?
Answer:
t(n) = 4n + 1058 minutesStep-by-step explanation:
Initial value is 10 minutes and additional time is 4 minutes per week.
This is a linear function with
y-intercept b = 10slope m = 4The formula for the time of run after n weeks is
t(n) = 4n + 10, where t(n) - run time after n weeksDaily run time after 8 weeks is
t(8) = 4*8 + 10 = 58 minutesHow do you solve a perfect square trinomial??
Answer:
Step-by-step explanation:
Here's an example:
x^2 + 6x + 9 = 0
First factorise it:
(x + 3)(x + 3) = 0
So the solution is x = -3 (multiplicity 2)
That is there are 2 roots both -3.
Rationalise the following:
(Root3-1) / (root3+1)
Answer:
[tex]2-\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]
Two consecutive integers have a sum of 55. Find the integers.
0.0
Х
?
Answer:
27 and 28
Step-by-step explanation:
x+x+1=55
2x+1=55
2x=55-1
2x=54
divide each side by 2
x=27
x+1=28
check your answer adding the two integers
27+28=55
Help please I’m stuck on these questions since I’ve been out of school for a week and is confused .
Question 1 of 20
t cost Andrea $50 per day to rent a moving truck and an additional $3 for
every mile that she drove it. If Andrea spent a total of $104 after renting the
ruck for 1 day, which equation shows how many miles Andrea drove?
O A.
104
3
= 50x
OB. 50+3x = 104
OC. 3+50x= 104
The equation that shows the miles Andrea drove is $104 = $50 + $3x.
What is the equation that shows the miles Andrea drove?The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.
Total cost = cost to rent per day + (cost per mile x total mile driven)
$104 = $50 + $3x
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Fifteen is three times the difference between three times a number, n, and four.
Translate into equation and solve.
We can translate word equations into number equations by recognizing key words as operations:
Three times = multiply by 3Difference = subtractIs = equalsSolving the QuestionWe're given:
Fifteen is three times the difference between three times a number, n, and four.Divide the sentence into parts:
[Fifteen] [is] [three times the difference between three times a number, n, and four]Translate into numbers and operations:
15 = [three times the difference between three times a number, n, and four]15 = 3 × [difference between three times a number, n, and four]15 = 3 × (3n - 4)Isolate n:
15 = 3 × (3n - 4)
15 = 9n - 12
27 = 9n
n = 3
Answer15 = 3 × (3n - 4)
n = 3
What is P(A, B, and C)? They are independent.
P(A) = .66
P(B) = .52
P(C) = .78
If each of A, B, and C are mutually independent, then
P(A and B and C) = P(A) P(B) P(C)
so that the probability of the three-way intersection is
P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27
PLEASE HELP NOW!!
Jada cuts out a rectangular piece of paper that measures 5x4 inches.
Han cuts out a paper sector of a circle with radius 5 inches and calculates the arclength to be 2 TT.
Answer:
Formula for arc length =
arc length = r θ where θ is in radians
So we have
2pi = 5 θ solve for θ and we have that
θ = [ 2 pi ] / 5
The area of the sector =
(1/2) r^2 θ = (1/2)(5^2) (2pi) / 5 = 5 pi in^2 ≈ 15.7 in ^2
The rectangular shape has more area = (5 * 4) = 20 in ^2
Step-by-step explanation:
I don't think this will help but hope it does