This is the number 80 thousand
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Explanation:
1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.
In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.
Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.
Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000
Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.
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Checking the answer:
original fund amount = 80000
1/2 of 80000 = 40000 is the amount the wife gets
1/4 of 80000 = 20000 is the amount the son gets
That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.
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Another method using algebra:
x = original amount of the fund
W = x/2 = 2x/4 = half of the fund = amount wife gets
S = x/4 = quarter of the fund = amount the son gets
W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4
W+S represents the sum of the wife's and son's amounts.
We'll subtract this from the original amount x to find out what's left
x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4
This shows that 1/4 of the fund is left over after distributing to the wife and son.
The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000
So,
x/8 = 10000
x = 8*10000
x = 80000
The original fund is worth Rs 80000
Sound will travel fastest in air at _____.
Answer: 15 degrees Celsius
Step-by-step explanation:
Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated
• correct me if I'm wrong
A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item
The cost of each campstools, tent and sleeping bag is $20, $100 and $26
let
tent = 1
sleeping bags = 2
campstools = 3
Total cost = $212
tent = t
sleeping bags = s
campstools = c
If
t = 5c
s = c + 6
Total = t + 2s + 3c
212 = 5c + 2(c + 6) + 3c
212 = 5c + 2c + 12 + 3c
212 = 10c + 12
212 - 12 = 10c
200 = 10c
c = 200/10
c = 20
t = 5c
= 5 × 20
= 100
s = c + 6
= 20 + 6
= 26
Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26
Learn more about equation:
https://brainly.com/question/4916384
How many solutions do 5-2x=2x-5
Answer:
1 solution is the answer
Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8
Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5
what is the factor of this 3x - 12
Answer:
3 (x - 4)
Step-by-step explanation:
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
if x is the midpoint of AB, then AX=XB?
Answer:
Yes
Step-by-step explanation:
AX is equal to XB
send help pleaseeeeeeeeeeeeee
MY ANSWER WITH SOLVING STEPS
#CARRYONLEARNING
DON'T FORGET HIT THE THANK YOU BUTTON
A rectangular garden has a walkway around it. The area of the garden is 4(2.5x + 1.5). The combined
area of the garden and the walkway is 5.5(4x + 4). Find the area of the walkway around the garden as
the sum of two terms.
Answer:
Area of Walkway = 12x+16
Step-by-step explanation:
Area of Garden = 4(2.5x + 1.5) [Garden Area]: (10x + 6)
Area of Garden and Walkway = 5.5(4x+4) [Total Area]: (22x + 22)
Area of Walkway = [Total Area] - [Garden Area]
Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]
Area of Walkway = [22x+22)] - [10x + 6)]
Area of Walkway = 12x+16
Answer:
9x+11 Its hard to explain but if you need a explanation khan academy really helps.
ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work
The line of length 48 is passing through the midpoint of traingle so it's half of base
[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 10% sales? Please explain your answer.........
Answer:
1500 + x(0.1)=salary
Step-by-step explanation:
Without a sales value, what I'm assuming you want is the equation to find his salary
Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck
so we end up with an equation of 1500 +0.1x=y
Leave a thanks please!
why didnt lawrenece fishburn play morpheus in matrix 4 reddit
Answer:
I'm confused about your question can you explain?
The following shapes are congruent. Write the correct congruence statement for shape MJZP.
A. BLXY
B. LXYB
C. XYBL
D. YBLX
Answer:
B. LXYB.
Step-by-step explanation:
help pleasee
on the image
with the steps.
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
what is the difference in length between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
1 1/4 is the same as 5/4.
5/4 is also the same as 10/8.
The distance from 3/8 to 10/8 is 7/8.
Hope that helps
Answer:
1 1/4 - 3/8
5/4 - 38
10/8 - 3/8
7/8
Brainliest if correct! Please explain how this is done!
In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
I will mark brainliest if you are correct!
The value of csc C in fraction and in decimal form is as follows:
csc C = 5 / 3
csc C = 1.66666666667
Using trigonometric ratio,
secant A = 1 / cos A = hypotenuse / adjacent
Therefore,
sec A = 5/3
sec A = 1 / cos A
cos A = adjacent / hypotenuse
cos A = 3 / 5
A = cos⁻¹ 0.6
A = 53.1301023542
Therefore,
∠A = 53°
∠B = 90°
∠C = 180 - 143 = 37°
cosec C = 1 / sin C = hypotenuse / opposite
cosec C = 5 / 3
learn more about trigonometry here: https://brainly.com/question/25942962?referrer=searchResults
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?
Answer:
29 minutes
Step-by-step explanation:
hellllllllllllllllllllppppppppppppppppppppp
Answer:
Y-intercept: (0, -10)
X-intercepts: (5,0), (1,0)
Axis of symmetry: (3,0)
Step-by-step explanation:
You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.
There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.
By factoring it, you get
-2(x-5)(x-1)=0
If one part of it equals zero, than the whole function equals zero.
So it can be split up like this
(x-5)=0
(x-1)=0
So...
x=5 and x=1 are the the zeros or (5,0) and (1,0)
Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.
Tyson is 6 feet 2 inches tall. There are 2. 54 centimeters in 1 inch. What is Tyson's height in centimeters?.
Answer:
187.96cm
Step-by-step explanation:
first convert 6 feet to cm=182.88
then convert 2 inches to cm=5.08
add your answers together=187.96
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
Area of square whose side is 11 cm ________
Answer:
121 cm²
Step-by-step explanation:
Square's area formula is
A=a²
where a stands for a side of the square
A=(11 cm)²
A=121 cm²
whenever you're talking of area you put cm²
Answer:
Given :
✧ Side of square = 11 cmTo Find :
✧ Area of squareUsing Formula :
[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
Solution :
Substituting the given value in the required formula to find area of square :
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]
Hence, the area of square is 121 cm².
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A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.
The scale is 2 cm:7 m. What are the width of the actual parking lot, if the
drawing width is 7.5 cm?
=====================================================
Work Shown:
(2 cm)/(7 m) = (7.5 cm)/(x meters)
2/7 = 7.5/x
2x = 7*7.5
2x = 52.5
x = 52.5/2
x = 26.25
7.5 cm on paper corresponds to 26.25 meters in real life.
side note: 26.25 meters = 86.122 feet approximately
solve similar triangles (advanced)
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
what is the answer?
Answer:
1x+-8(-4)=b
Step-by-step explanation:
8:07, 8:58, ?, 10:43, 11:37
61
9:51
9:50
9:53
9:49
Answer:
9:50
Step-by-step explanation:
It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...
? - 8:58 = 0:52 ⇒ ? = 8:58 +0:52 = 9:50
10:43 -? = 0:53 ⇒ ? = 10:43 -0:53 = 9:50
The missing time is 9:50.
What is the volume of a cube with sides of length 15 mm?
Prove the following:
1 + cos^2 A = 2 ( cos^4A + sin^4A)
The 2 sides of the equation are not equal; hence, I cannot prove them to be true.