Answer:
let the number of persons be " x "
and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.
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let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,
let us suppose each person gets an amount of " r " rupees.
then ,
[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]
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According to Question ,
hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.
hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -
[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]
lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]
[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]
on dividing the complete equation by (- 160)
[tex]x { }^{2} + 20x - 1125 = 0[/tex]
now , use the method of splitting the middle term so that we get the value of x.
[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]
since number of persons can't be negative. therefore ,
number of persons = x = 25
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hope helpful :D
Error Analysis Your friend says that the volume of this sphere is 44.58
m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?
Answer:
the given dimension was used as the radius5.57 m³Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
Which of the following represent lengths of the sides of a
right triangle?
Select all that apply.
A 4,5,6
B 8, 15, 17
C 10, 15, 20
D
5, 12, 13
is this right? please tell me :) asap!!
Answer:
A
Step-by-step explanation:
calculate 20% of $88
[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60
Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps
Answer:
794 stamps in his collection
Step-by-step explanation:
If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2
397(2) =794 stamps
Answer:794
Step-by-step explanation:
397x2=794
In a class of 25 pupils, if 15 are females. Calculate the ratio of males : total
Answer:
2:5
Step-by-step explanation:
15 are female. 10 must be male.
Out of 25 pupils, 10 are male, so it's 10:25, or 2:5
help me please if you know it
Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
HELP ME I WILL GIVE BRAINLIEST
Answer: 42.0
Step-by-step explanation:
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
Fatima uses 6. 2 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help
Answer:
Its 452.16
Step-by-step explanation:
Because the formal is [tex]\pi[/tex]r2
Which is 3.14*12*12=452.16
alex earned $ 20.40 in three hours what is the unit rate in dollars per hour
Divide total made by total hours:
20.40 / 3 = $6.80 per hour
Answer:
See below.
Step-by-step explanation:
Divide the amount of money by the time.
20.4/3=6.8
So, alex earned $6.80 per hour.
-hope it helps
Convert the following fraction to a decimal 20/16
Answer:
1.25
Step-by-step explanation:
Last one i promise but i need help
Answer:
a
Step-by-step explanation:
An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?
It takes the diver 5 s to reach the water.
Quadratic equationsThese are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)
Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.
The diver reaches the top of the water when f(x) = 0.
So, equating f(x) to zero, we have
f(x) = 0
-2(x-5)(x+1) = 0
Dividing through by -2, we have
(x-5)(x+1) = 0
So, (x - 5) = 0 or (x + 1) = 0
x = 5 or x = -1
Since time cannot be negative, x = 5 s.
So, it takes the diver 5 s to reach the water.
Learn more about quadratic equations here:
https://brainly.com/question/24860429
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%
Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
3 ** -3,
The common radio between the langles is 2.5 because -25,
The triangles could be similar
The triangles could not be similar
The ratio of the sidelengths are not consistent
The ratio of the side lengths are consistent
Answer:
the ratio of the side lengths are consistent
6 6/9 divided by 1 5/7
Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5
Answer:
The solution is x = 2
Step-by-step explanation:
i) 3x+2y=4
ii) 2x-y=5
Let's isolate y for the second equation
2x-y=5
2x-5 = y
y = 2x-5
Now use this y and substitute it in the first equation.
3x+2y=4
3x + 2(2x-5) = 4
3x + 4x - 10 = 4
7x / 7 = 14 / 7
x = 2
How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?
Answer:
the answer is 4,800 dollars
Step-by-step explanation:
Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.
Hope this helps!
what does 13.2 − 1.78 equal
Step-by-step explanation:
Answer:
11.42
Step-by-step explanation:
What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14
please help me with this math! thank you!
Answer:
Heads or Tails
Step-by-step explanation:
its right there super simple.
help me with this please
Answer:
B and C
Step-by-step explanation:
Answer:
-15/-3,-5/-1
Step-by-step explanation:
please mark me as brainlest
PLEASE HELP! ASAP!!!!!
Answer:
A, E, B
Step-by-step explanation:
PLEASE HELP ME I CANT GET IT RIGHT
These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies
Do you have a picture of the mathmatic problem?
Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.
The Halls credit score is 2186.
We have given that,he experian score =711
his equifax score =736
his trans union score =736
What is the meaning of Hals score?
Hals credit score = sum of all score.
Hals credit score = sum of all score.
=711+736+736
=2186
Therefore, the Halls credit score is 2186.
To learn more about the credit score visit:
https://brainly.com/question/23024185
Answer:Answer is A
Step-by-step explanation:grandma told me
what is the area of the figure in square units?
Answer:
Area of a Rectangle: l x w
2 x 3 = 6
Area of a Triangle:
[tex] \frac{b \times h}{2} [/tex]
The slanted height of the triangle is 2 and the base of the triangle is also 2 so
[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]
So to get the area of the figure you add the area of the rectangle plus the area of the triangle.
6+2=8
The area of the figure is 8 units square