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
Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.
A ray from Trevor to the fish is the hypotenuse side of a right triangle with
vertices at Trevor's position, the hook and the fish.
The distance from Trevor to the fish is approximately 9.4 meters.Reasons:
The distance of the hook below Trevor, y = 8 meters
The horizontal distance of the fish from the hook, x = 5 meters
Required:
The distance of the fish from Trevor
Solution:
A line drawn from Trevor's position to the fish, h, then to the hook, x, and
then to Trevor, y, forms a right triangle with the distance from Trevor to the
fish being the hypotenuse side, h.
Therefore, by Pythagorean theorem, we have;
h² = y² + x²Which gives;
h² = 8² + 5²
h = √(8² + 5²) = √(89 ≈ 9.4
The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters
Learn more about Pythagorean theorem here:
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The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?
Part A: Draw the pond and label what you know from the problem above.
Part B: What is the diameter of the pond?
Part C: How many seconds does it take the boat to get to the other side of the pond?
Step-by-step explanation:
See the photo let me know if you have a question
If one angle of a parallelogram is of measure 70
∘
, find the measures of all the angles of the parallelogram.
Answer:
70, 110, 70, 110
Step-by-step explanation:
If one angle is 70 degrees, the opposite angle is also 70 degrees. The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.
Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of
$50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hour.
Using systems of equations, answer the following questions. Show all your work.
Part A: Write a system of equations the represent the situation. (Be sure to identify the
variables.)
Answer:
?
Step-by-step explanation:
i'm sorry i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye
The system of equations that represent the situation are as follows;
C = $50 + $25hC = $10 + $35h.According to the question;
Mary was trying to rent a boat and wanted to get the best plan.Let C = Charged feesand h = hours of rentalFor Plan A:
Rental plan A charges a fee of$50 plus $25 per hour.C = $50 + $25hFor Plan B:
Plan B charges a fee of $10 plus $35 per hour.C = $10 + $35h.Read more on rental charges;
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PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.
Solve for x
1. x + 4x = 90
Answer:
First, you combine like terms.
Then, you divide both sides of the equation by the same term.
Next, you simplify.
Lastly, you have your solution, which is x= 18
Step-by-step explanation:
Hope this helps!
Y+1=1/5(x-10)
Solve for y
Answer:
y = (x-10 / 5) - 1
Step-by-step explanation:
Hope this helps :)
Answer:
y=1/5x-3
Step-by-step explanation:
y+1=1/5(x-10)
y=-1 +1/5(x-10)
y= -1 +1/5x-2
y=1/5x-3
please help and show work
x=
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = âŚx⌉ equal? Check all that apply. â€""8 â€""5. 2 â€""1. 7 0 2. 4.
The x-values that will make the output values of the floor and ceiling functions equal are;
Option A: -8
Option D: 0
The complete question is;
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.
A) –8
B) –5.2
C) –1.7
D) 0
E) 2.4
When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.
Now, looking at the giving options the only integers we have are -8 and 0.
Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.
Read more on floor function and ceiling function at; https://brainly.com/question/7321190
9) the formula for the volume
I of a cone is v= 1/3 TT r ² h
Solve the formula for the
height h
Please show your work!!!
Answer:
V=TTr²h
Step-by-step explanation:
Why?
Because you will v=TT r² h/3
so the answer is
v=TT r² h/3,r É R,h É R
That's my hardwork lick it brainliest and liked my hardwork please
How can you find approximations of square roots?
Answer:
you can do a trial and improvement
Step-by-step explanation:
Help please!! Due today
Answer:answer is x=15=20
Step-by-step explanation:i did it before in class and got an A
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue
Answer: (15th street, 14th Avenue)
Step-by-step explanation:
Given the following :
Ping's residence = (3rd street, 6th Avenue)
Ari's residence = (21st street, 18th Avenue)
Gym location = 2/3 the distance of Ping's residence to Ari's residence
So, distance between Ping's home to Ari's home
Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)
Distance = (21 - 3) street, (18 - 6) avenue
Distance between ping and Ari = (18th , 12th )
Gym distance = 2/3 of distance between ping and Ari
Gym distance = 2/3 × (18), 2/3 ×(12)
Gym distance = (12, 8)
Gym location = Ping's location + gym distance
Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)
Gym location = (15th street, 14th Avenue)
Answer:
D
Step-by-step explanation:
cuz its right :0
what is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?
Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.
Explanation:
y = 6, x = -6
By putting above values in equation (i)
6 = approximately -1.66 (-6) + b
6 = approximately 9.96 + b
approximately -3.96 = b
b = approximately -3.96
y = -5/3x + -3.96
state if the triangles in each pair are similar, if so state how you know they are similar.
Answer:
Looking at both triangles, angle P in triangle PQR = 38 degrees. Angle N in triangle LMN = 38 degrees. Both angles are equal.
Side PQ in triangle PQR = 16
Side MN in triangle LMN = 8
Therefore,
PQ/MN = 16/8 = 2
Side PR in triangle PQR = 14
Side LN in triangle LMN = 7
Therefore,
PR/LN = 14/7 = 2
Therefore, triangle PQR is similar to
triangle LMN because
1) the length of PQ is proportional to the length of MN.
2) the length of PR is proportional to the length of LN
3) angle P = angle N
4) Therefore, QR is also proportional to ML
Therefore,
PQ/MN = PR/LN = QR/ML = 2
Step-by-step explanation:
The pair of the first two triangles are not similar triangles, while the pair of the next two triangles are similar triangles.
What are similar triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar. To put it another way, comparable triangles are similar in shape but not necessarily in size. In addition, the triangles are congruent if their corresponding sides are of identical length.
As it we know that for the two triangles to be similar triangles, the ratio of their corresponding sides should be the same.
A.) In the first pair of triangles,
For the first pair of triangles to be similar,
[tex]\dfrac{US}{UD}=\dfrac{UT}{UE}=\dfrac{ST}{DE}[/tex]
The above ratio should be similar, but since we can see that the ratio,
[tex]\dfrac{US}{UD}\neq \dfrac{UT}{UE}[/tex]
[tex]\dfrac{39}{16}\neq \dfrac{40}{16}[/tex]
As we can see that the ratio of the sides of the triangle is not the same therefore, the two of the given triangles are not similar triangles.
B.) In the second pair of triangles,
For the second pair of triangles to be similar,
[tex]\dfrac{AB}{HG}=\dfrac{BC}{GF}=\dfrac{CA}{FH}[/tex]
The above ratio should be similar, and as we can see that the ratio,
[tex]\dfrac{72}{12}=\dfrac{48}{8}=\dfrac{84}{14} =6[/tex]
As we can see that the ratio of the sides of the triangle is the same therefore, the two of the given triangles are similar triangles.
Learn more about Similar Triangles:
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Help plzz I don’t get it
x intercept The x intercept is the point where the line crosses the x axis. At this point y = 0.
Which number below is an integer but not a natural number?
A) -1/2
B) Square root of 8
C) -5
D) 72
Answer:
C) -5
Step-by-step explanation:
-5 is an integer but not a whole number or a natural number.
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school
Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
Bathing suits are on sale 80% off at Dillards. If I see a bathing suit marked down to $25, what was the original price of the bathing suit?
Answer:
i think 20
Step-by-step explanation:
12/15 =10/13 true or false
Answer:
False.
Step-by-step explanation:
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
Hypotenuse: 20√2
Acute Angle measurements: 45
Step-by-step explanation:
Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.
By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.
Note that the leg side measures 20. Multiply:
20 * √2 = 20√2.
Hypotenuse: 20√2
Acute Angle measurements: 45
3. Solve each equality or inequality:
a. |8x-6|= 0
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Find possibilities.
We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.Step 2: Solve possibility 1.
[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]Therefore, x = 3/4.
rationalize the denominator 4√2/4√5
Answer:
answer given in the phot
how many times longeris the perimeter of the shorter side?
Answer: Which shape are you talking about?
estimate quotients using compatible numbers lesson 4.5 answer key
4 its the correct answer do it
Step-by-step explanation:
its correct
the table shows the daily temperatures for a city what is the mean absolute deviation for this data
A) 2
B) 10
C) 70
D) 71
B is the answer if you look at the data the test gives you
The map shows two walking trails in a park. Both paths end at the picnic area, located at C(6, 1). Trail A starts at A(−6, 6), and Trail B starts at B(−10, −11). If each unit on the map represents 0.5 mile, how many miles longer is Trail B than Trail A?
Answer:
12 miles
Step-by-step explanation:
because of slope
Determine all the zeros of the function y = 3x^2 - 2x - 2
Answer:
A
Step-by-step explanation:
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?
84
80
90
74
Answer:
74
Step-by-step explanation:
The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation
Mean = (sum of numbers)/(number of numbers)
Let's say that the missing test score is called x:
Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6
80(6) = 80 + 85 + 73 + 78 + 90 + x
480 = 80 + 85 + 73 + 78 + 90 + x
x = 480 - 80 - 85 - 73 - 78 - 90
x = 74
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
5(x - 7) = 55 ⇒ 5x - 35 = 55
The 5 was distributed in 5(x-7) to get 5x - 35.