Rahul and Swapnil brought an equal amount of money for shopping. Rahul spend rupees 95 and Swapnil spend rupees 350. after that Swapnil had 4/7 of what Rahul had left. how much money did Rahul have left after shopping.
A. 27
B. 36
C. 45
D. 54
Answers
Given:
Rahul and Swapnil brought an equal amount of money for shopping.
Rahul spend rupees 95 and Swapnil spend rupees 350.
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
To find:
How much money did Rahul have left after shopping.
Solution:
Let x be the amount brought by both Rahul and Swapnil.
Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:
Rahul's remaining amount = [tex]x-95[/tex]
Swapnil's remaining amount = [tex]x-350[/tex]
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
[tex](x-350)=\dfrac{4}{7}\times (x-95)[/tex]
[tex]7(x-350)=4(x-95)[/tex]
[tex]7x-2450=4x-380[/tex]
Isolate the variable terms.
[tex]7x-4x=2450-380[/tex]
[tex]3x=2070[/tex]
[tex]x=\dfrac{2070}{3}[/tex]
[tex]x=690[/tex]
Now, the remaining amount of Rahul is:
[tex]x-95=690-95[/tex]
[tex]x-95=595[/tex]
Therefore, the correct option is B.
Related Questions
is this linear, exponential, or quadratic?
Answers
Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3
In ΔQRS, the measure of ∠S=90°, SR = 12, RQ = 37, and QS = 35. What ratio represents the cotangent of ∠Q?
Answers
Answer:
35/12
tan Q = 12/35
so cotan Q = 35/12
Somebody asked a teacher how many students do you have? I would like to send my son to your school The teacher asnwered if as many students as i have now join my school and half as many as i have join it and quarter as many and your boy comes to study with me as well i will have excactly 100 students
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Answer:
So whats the question?
I am going to bye a three bags of plums and the cost of the plums are $4000 but I only have $300 how many more money do I need
Answers
well...
if all three bags cost $4,000 then you'll need $3,700.
but if one bag costs $4,000 then that'll equal to $12,000 which then you'll need $11,700.
i might've misundestood your question so please let me know if this is correct!
PLEASE HELP, I AM MARKING BRAINLEST, dont forget to show work please :)
Answers
Value of g(-2) = -8
hope it helps you.....
Answer:
-12
Step-by-step explanation:
-4(-2)^2 -3(-2) -2
-4(4) +6 -2
-16 +6 -2
-12
which pair is a pair of vertical angles?
Answers
Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
Pls help me with this equation
Answers
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answers
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
The perimeter of a rectangle with width, x cm and length, y cm is 82cm. If the length of a rectangle is 15 cm longer than its width, calculate the length and the width of the rectangle.
Answers
Answer:
Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)
Now, we know
Perimeter(p)=2(length+width)
40= 2(x+5+x)
40=2(2x+ 5)
40/2=2x+5
20=2x+5
20–5=2x
15/2=x
x=7.5
Now,
length=x+5=7.5+5=12.5cm
width=x=7.5cm
Therefore length is 12.5cm and width is 7.5cm.
please help ? i do not understand this question--
Answers
Answer:
hey, i think it's the first alternative
Step-by-step explanation:
Find the x...............
Answers
Answer:
Step-by-step explanation:
Remark
You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.
That base is equal to the difference between the two bases.
Solution
The base of the triangle = 2x + 1 - (x + 3) Remove the brackets.
base = 2x + 1 - x - 3
base = x - 2
Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.
c^2 = a^2 + b^2
a = x - 2
b = x + 4
c = 2x
4x^2 = (x - 2)^2 + (x + 4)^2 Expand the brackets
4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16 Collect like terms
4x^2 = 2x^2 + 4x + 20 Subtract the right side from the left.
4x^2 - 2x^2 - 4x - 20 = 0
2x^2 - 4x - 20 = 0 Divide by 2
2x^2/2 - 4x/2 - 20/2 = 0
x^2 - 2x - 10 = 0
x = - b +/- sqrt(b^2 - 4*a*c)/ 2a
a = 1
b = - 2
c = - 10
x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2
x = (2 + / - sqrt(4 + 40 ))/2 Only the plus root has any meaning.
x = ( 2 + sqrt(44 ) )/2
x = ( 2 + 2*sqrt(11) ) / 2
x = 1 + sqrt(11)
sqrt(11) = 3.3166
x = 1 + 3.3166
x = 4.3166
-6x + 7y = 9
2x - 2y = 4
Solve for x and y
Answers
Answer:
x = 23 , y = 21
Step-by-step explanation:
-6x + 7y = 9 -- (1)
2x - 2y = 4 -- (2)
(2) x 3 : 6x - 6y = 12 -- (2)'
(1) + (2)' : y = 21 -- (3)
Subtituting (3) into (2),
2x - 42 = 4
2x = 46
x = 23 -- (4)
According (3) and (4),
x = 23 , y = 21
If this helps you, please give brainliest!
3
If f(x) =
x
-VX-3, complete the following statement:
X + 2
than or equal to
The domain for f(x) is all real numbers.
3.
Answer here
SUBMIT
Answers
Answer:
Greater
Step-by-step explanation:
Because x-3 must be greater or equal zero and x must be not equal -2
What is the answer to this question?
Answers
Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
the sum of the 13th square number and the 4th cube number?
Answers
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
[tex]13^{2} +4^{3}[/tex]=233
The value of the sum of the 13th square number and the 4th cube number will be 223.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,
⇒ (13)² + (4)²
Simplify the numerical expression, then we have
⇒ (13)² + (4)³
⇒ 169 + 64
⇒ 223
The value of the sum of the 13th square number and the 4th cube number will be 223.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
What is the solution of the following quadratic function?
Answers
Hope this helps!!
if y is inversely proportional to 2x + 1 and the difference in the values of y when x= 0.5 and x= 2 is 0.9, find the value of y when x = -0.25
Answers
Answer:
6
Step-by-step explanation:
answer is in photo above
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answers
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
determine the equation of the circle graphed below .
( help pleasee )
Answers
Answer:
move the circle around that's how you co-ordinate
Step-by-step explanation:
Mrs. Malik ( my maths teacher ) helped me
Answer:
(x + 3)^2 + (y + 5)^2 = 4^2
Step-by-step explanation:
equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(h,k) is the center and r is the radius
the center of this circle is (-3, -5) and the radius is 4
plug the numbers in
(x + 3)^2 + (y + 5)^2 = 4^2
hope this is good, havent done this unit in a while
Of the songs in Jessica's music library, 7/8 are rock songs. Of the rock songs, 5/8 feature a guitar solo. What fraction of the songs in Jessica's music library are rock songs that feature a guitar solo?
*no scamming links are allowed or else I’ll have to report you* .
Answers
Answer:
ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64
one fifth of the sum of four and m
Answers
Answer:
[tex]\frac{1}{5\/}[/tex](4+m)
Step-by-step explanation:
[tex]\frac{1}{5\/}[/tex](4+m)
Hope this helps!
SOMEBODY PLEASE HELP
Answers
Answer:
x=40
Step-by-step explanation:
1/5x=8
x=8*5=40
x=40
What is the solution to the system of equations?
Answers
Answer:
ans: D
Step-by-step explanation:
suppose
y = 3x +1 be equation••••••1
and
y = -2x - 4
-y= 2x + 4 be equation ••••••2
add equation 1 and 2 as
y = 3x + 1
-y = 2x + 4
0 = 5x + 5
so ,
5x = - 5
x = - 1
put x In either equation 1 or 2 to get y= - 2
OR,
since given equation intersects each other ,
use substitution method ,
Answer:
D
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 2 ) ← solution → D
Please help fast it’s subtraction
Answers
Answer:
17
220
Result in decimals: 0.077272727272727
Step-by-step explanation:
Answer:
[tex]7\frac{17}{220}[/tex]
Step-by-step explanation:
[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]
[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]
[tex]=7\frac{17}{220}[/tex]
Hope this helps
Need help on this question asap please sorry
Answers
Answer:
D
Step-by-step explanation:
In picture
Brainliest please ~
Answer:
The answer is most likely the last option.
Step-by-step explanation:
While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:
[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} [/tex]
Note that the fractions can be flipped the other way around too.
[tex] \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} [/tex]
Now, I can add in the values into the equation
This will give the answer
[tex] \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} [/tex]
We are only looking at the first 2 fractions which were given, and the final option is the answer.
I need help it says which of the following function is graphed below
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The right part of the function is a line and its equation must be linear (the exponent of the x must be 1)
The lines start at x = 1. We can say that because there is a black dot
the x of the second function keep decreasing
Thanks to these informations we can say that the answer is D
What's the Area of the Rectangle, Triangle and the entire shape?
Answers
Answer:
Rectangle = 48 un²
Triangle = 12 un²
Total = 60 un²
Step-by-step explanation:
Area rectangle = 8 x 6 = 48 un²
Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²
Total = 48 un² + 12 un² = 60 un²
To check the total area, find the area of the trapezoid:
1/2 ( 8 + 12) * 6 =
(20 * 6)/2 =
120 / 2 = 60
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Triangle = 12 un
Total = 60 un
Given JKL: XYZ, find x.
Answers
Answer:
is there a pic to go along? i need more to this..
I need help fast please!!!!
Answers
Answer:
f translates right 2 units to get g. sorry about my English
Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units
Answers
Answer:
36 pi
Step-by-step explanation:
The radius is 6
A = pi r^2
A = pi 36
Answer:
Area of circle = 36 π square unit
Step-by-step explanation:
To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.
Area of circle = π × r²
where,
r is the radius of circlesubstitute the value
Area of circle = π × ( 6 ) ²
expand the exponent
Area of circle = π × 36
multiply
Area of circle = 36 π square unit