Answer:
Mohan lent 3600 to Ram and 3000 to Shyam.
Step-by-step explanation:
Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.
Let Mohan lent x to Ram and y to Shyam
x+y=6600
Or, x=6600-y ...(i)
As Ram pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:
[tex]I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\[/tex]
[tex]\Rightarrow I=0.3(6600-y) \\\\[/tex] [by using (i)]
[tex]\Rightarrow I=1980-0.3y \cdots(ii)[/tex]
As Shyam pays compound interest at 15 %=0.15 p.a,
so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount
[tex]C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)[/tex]
As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),
[tex](1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow y = 1867.5/0.6225=3000[/tex]
From equations (i),
[tex]x=6600-3000=3600[/tex]
Hence, Mohan lent 3600 to Ram and 3000 to Shyam.
I'll give 30 for the right answer
the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas. a.) What is the gas mileage in miles per gallon? b.) How far could the car go on 15 gallons?
Answer:
Part A. The Toyota uses 21 miles per gallon.
Part B. The Toyota can go 315 miles using 15 Gallons.
Step-by-step explanation:
P.S Can I have brainliest?
The new Toyota can travel 315 miles with 15 gallons of gas.
Given that, the new Toyota can go 15 3/4 miles on 3/4 of a gallon of gas.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
A) Here, 15 3/4 miles can be written as 63/4
Now, the mileage = 63/4 ÷ 3/4
= 63/4 × 4/3
= 21 miles per gallon
B) Number of miles travelled with 15 gallons
= 21 × 15
= 315 miles
Hence, the new Toyota can travel 315 miles with 15 gallons of gas.
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A cylinder has height 20cm.
The area of the circular cross section is 74cm.
Work out the volume of this cylinder
Answer:
volume= l*b*h
So, Volume=area*height
= 74*20
=1480cm³
On a coordinate plane, point D is 1 unit up. Point C is 2 units to the right and 10 units up. Point F is 8 units to the right and 6 units up. Point G is 9 units to the right and 2 units up. Point E is 12 units to the right and 12 units up.
Look at the plotted points. Which statements are true? Select all that apply.
Point C is located at (1, 5).
Point D is located at (0, 1).
Point E is located at (12, 6).
Point F is located at (8, 6).
Point G is located at (9, 2).
Answer:
point D is 1 unit up; true
Point C is 2 units to the right and 10 units up; false
Point F is 8 units to the right and 6 units up; true
Point G is 9 units to the right and 2 units up; true
Point E is 12 units to the right and 12 units up; false
Step-by-step explanation:
Answer:
The other person is wrong,
Step-by-step explanation:
b, d and e are the correct answers
Transform the equation if necessary, and then solve it to find the value of x that makes the equation true.
11(x+10)=132
Answer:
11(x+10)=132 x = 2
Step-by-step explanation:
Step 1: Distribute the 11 to the "x" and the "10".
(Equation now becomes 11x + 110 =132)
Step 2: Subtract the "110" over to the "132"
(Equation now becomes 11x=22)
Step 3: Divide the "11" and the "22" --> 11x=22
11 11
Answer : x = 2
Question 19 of 25
What is the value of the expression below?
(12^1/6)^6
A. 8
B. 64
c. 12
D. 1
Answer: 12
Step-by-step explanation:
Apply exponent rules.
- (a^b)^c = a^b*c
Multiply exponents.
- 1/6 * 6 = 1
12^1
Apply exponent rule.
- a^1 = a
= 12
holaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
HIIIIIIIIIIII
Step-by-step explanation:
What is the sign of -5 × (-1/-2)
Please help me out with this problem
Answer:
Second choice, 2/5
Step-by-step explanation:
12 + 9 + 10 + 11 + 8 = 50
12 red and 8 blue, the probability of getting either is 12 + 8 = 20/50 which simplified is 2/5
a
3000
b
300
c
30
d
3 x 103
Answer:
What is the question. I can't help if there is no question
Please help me with geometry ASAP!!!
Answer:
asking all these questions why you asking all these questions
Step-by-step explanation:
4x^3(5x) = what,
will mark brainliest
Answer:
25
Step-by-step explanation:
PLEASEE FRIKEN HELP MEEEEEEEEEEEEEEEEEEEE
Whats 7x8(9+8)-6x7+2(77x8)-7+1092(2010x0.1134)+17-27=
Its my math question
Answer:
251028.928
Step-by-step explanation:
i used a calculator
The result of the expression 7 x 8(9 + 8) - 6 x 7 + 2 (77 x 8) - 7 + 1092 (2010 x 0.1134) + 17 - 27 will be 251028.928 .
Given , expression 7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27.
Apply BODMAS to solve the expression.
B = Bracket
O = of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Following the same order,
7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27
= 952 - 42 + 1232 - 7 + 248903.928 + 17 - 27
= 251028.928
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how many pepper plants are in 3 plants
Answer:
tatlo
Step-by-step explanation:
dependi sa lalagyan
Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.
Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
As the domain is (-1, 3)Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
Which expression is equivalent to (8x^3) 2/3? select all that apply.
A. 4x^2
B. 4x^3
C. √8x^9
D. √(8x^3)^3
Answer:
A
Step-by-step explanation:
Here, we simply want to select the indices that is equivalent to the given expression
(8x^3)^2/3
That is same as;
8^2/3 * x ^3 * 2/3
That will be;
2^2 * x^2
= 4x^2
Roberto buys a car. Because he buys the car from his cousin, he does not have to pay interest. He makes a down payment of $3,000 and pays the rest with monthly payments. The equation that represents the amount owed on the car can be represented by the equation y=−150x+2,500, where x is the number of months that Roberto pays off the loan, and y is the amount he still owes. What does 2,500 represent in this equation? A) The original cost of the car. B) The amount Roberto pays per month. C) The down payment that Roberto makes. D) The amount Roberto has to pay after the $3,000 down payment.
D) After the $3,000 down payment, Roberto must pay the following sum.
What is the real-life use of linear equations?People utilize linear equations on a regular basis even without utilizing a line graph since the scenarios they confront may involve an unknown number that may be described as a linear equation, such as calculating mileage rates, income over time, and so on. The four basic arithmetic operations are important here: addition, subtraction, multiplication, and division. In this post, we will study more about the applications of linear equations and solve several real-world cases.
Given, Roberto purchases an automobile. He does not have to pay interest because he purchases the automobile from his cousin. He puts down $3,000 and pays the remainder in monthly installments. also given an equation that represents the relation between the number of months Roberto pays and the amount he still owes.
y = -150x + 2500
If we calculate for "0" months then Roberto owes his cousin 2500. and after 1 month of payment, he has to pay 2350$.
Therefore, the meaning of 2500 in this equation is the amount Robert has to pay to his cousin after the down payment.
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Uh I need help with this I cant figure it out
Urgent !!!! write the equation in form y= mx + b ( slope intersect !)
1
—
4 of the students in the class received an A on the test. If there are 48 students in the class, how
many DID NOT get an A on the test
Please show the work
Answer:
36 did not get an A on the test
Step-by-step explanation:
48/4*3=36
Isosceles trapezoid ABCD is shown below with a line EF drawn through its center. If the isosceles trapezoid is dilated using a scale factor of one half and a line is drawn through the center of the new dilated figure, what relationship will that line have with line EF in the drawing below? (10 points)
Answer:
the answer for e is -2 and f is 2
Step-by-step explanation:
because if ever look at it E and F are straight from each other so one would be a negetive nunber and the other would be a positive number.
1. The graph below displays the height of an airplane. Describe the change
in the airplane's height over time. (Example 1)
Height
Time
Answer:
there no picture?? what you mean
A 220-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long
Answer:
let x be the length of the shorter piece.
4x + x= 210
x= 42.
4x= 168
The shorter piece is 42in and the long piece is 168 in.
The length of the shorter piece will be;
⇒ x = 44 inch
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
A 220-inch pipe is cut into two pieces.
And, One piece is four times the length of the other.
Now,
Since, One piece is four times the length of the other.
Let height of shorter piece = x
Then, The height of longer piece = 4x
Hence, We can formulate;
⇒ x + 4x = 220
Solve for x as;
⇒ 5x = 220
⇒ x = 220 / 5
⇒ x = 44
Thus, The length of the shorter piece will be;
⇒ x = 44 inch
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To compare and order fractions,the fraction can be written with a
PLEASE ANSWER CORRECTLY!!! I REALLY NEED AN ANSWER! WILL MARK BRAINLIEST!!!!
Misha solves the following system of equations using the substitution method.
y=5−2x
3x−y=15
What is the single-variable equation she solves after substituting?
A. 3(5+x)=5−2x
B. 15+3x=5−2x
C. 3x−(5−2x)=15
D. 3x−5−2x=15
Answer:
C
Step-by-step explanation:
The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be 3x−(5−2x)=15 thus option (C) will be correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y = 5 − 2x
3x − y = 15
Substitute y = 5 - 2x into 3x − y = 15
3x - (5 - 2x) = 15
Hence "The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be 3x−(5−2x)=15".
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1/3 + ( -2 1/4) Solve this equation and show your work!
answer has to be a number!
Answer:
-1.9
Step-by-step explanation:
i used a calculator and the answer was -1.91666666667 and i just cut it down to -1.9 was it right?? im not sure..So you dont have to use that answer!!
Answer:
-1.91666666667
Step-by-step explanation:
1/3 + ( -2 1/4)
1/3 -2 1/4 = -1.91666666667
The executive chef is in charge of the food quality and does not need to worry about sanitation issues such as pest control.
False
True
Answer:
False
Step-by-step explanation:
solve the equation f/4 + 5 =17
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
48/4 = 12, 12+5=17
What is the slope of a line parallel to the line whose equation is 3x−2y=18. Fully reduce your answer.
Answer:
3/2x
Step-by-step explanation:
-2y = -3x+18
y = 3/2x-9
Answer:
Slope: [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3x - 2y = 18
-2y = -3x + 18
y = [tex]\frac{3}{2}[/tex]x - 9
Slope = [tex]\frac{3}{2}[/tex]
Find the value of the unknown angle X.
158°
51°
21°
The diagram is not drawn to scale.
O
2 =
O
Answer:
x = [tex]130^{o}[/tex]
Step-by-step explanation:
The given figure is a trapezium which is a quadrilateral with four sides.
But,
Sum of angles in a quadrilateral = (n - 2) x 180
where n is the number of sides.
For a quadrilateral, n = 4. So that,
Sum of angles in a quadrilateral = (4 - 2) x 180
= 2 x 180
= [tex]360^{o}[/tex]
The sum of angles in a quadrilateral is [tex]360^{o}[/tex].
Thus,
[tex]158^{o}[/tex] + [tex]51^{o}[/tex] + [tex]x^{o}[/tex] + [tex]21^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] + [tex]230^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] = [tex]360^{o}[/tex] - [tex]230^{o}[/tex]
= [tex]130^{o}[/tex]
The value of x is [tex]130^{o}[/tex].
A set that contains no elements or the number of elements in the set is a natural number is called.
Answer: It's called a finite. The opposite of a finite is a infinite set.
Step-by-step explanation:
kind of simple I don't know