Answer:
Step-by-step explanation:
Let the invested amount is x.
<u>Then the interest amount is:</u>
- x*5*2.25/100 = 675
- 0.1125x = 675
- x = 675 / 0.1125
- x = 6000
Correct choice is A
Answer: 89,760 miles
Step-by-step explanation: 5,280*17=89,760.
Answer:
Hi There the correct answer is {x,y} = {-1,-10}
System of Linear Equations entered :
[1] 3x - y = 7
[2] 4x - 2y = 16
Graphic Representation of the Equations :
y + 3x = 7 -2y + 4x = 16
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 3x - 7
// Plug this in for variable y in equation [2]
[2] 4x - 2•(3x-7) = 16
[2] -2x = 2
// Solve equation [2] for the variable x
[2] 2x = - 2
[2] x = - 1
// By now we know this much :
x = -1
y = 3x-7
// Use the x value to solve for y
y = 3(-1)-7 = -10
Solution :
{x,y} = {-1,-10}
Hope it helps!
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
Answer:
Im not 100 percent sure but I think you have to do this
Step-by-step explanation:
Add all numbers together to find total students
Then add the students in Chemistry and Physics and both together
Then find what that number is in percent to the total students
