Answer:
The system of equations is:
x + y = 15
xy = 15
Step-by-step explanation:
solve the first for y and substitute in the second:
y = 15-x
x(15-x) = 15
15x - x� = 15
15x - x� - 15 = 0
-x� + 15x - 15 = 0
x� - 15x + 15 = 0
Answer:
Answer given below
Step-by-step explanation:
D = - 6 x 5 = - 30
Answer:
4(R + 5 + R + 2) [Option B]
Step-by-step explanation:
<u>GIVEN :-</u>
- Length = R + 5
- Width = R + 2
<u>TO FIND :-</u>
- Perimeter of the rectangle
<u>FORMULAE TO BE USED :-</u>
For a rectangle with length 'l' and width 'w' , its perimeter = 4(l + w)
<u>SOLUTION :-</u>
Perimeter = 
= 
= 
Answer:
Claire borrowed $500 from her father.
Step-by-step explanation:
Interest = $90
p = ?
r = 6% or 0.06
t = 3
Simple interest formula is :
Putting values in formula we get;
p = $500
Hence, Claire borrowed $500 from her father.
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
