Answer:
Simplifying
6n + 7 + -2n + -14 = 5n + 1
Reorder the terms:
7 + -14 + 6n + -2n = 5n + 1
Combine like terms: 7 + -14 = -7
-7 + 6n + -2n = 5n + 1
Combine like terms: 6n + -2n = 4n
-7 + 4n = 5n + 1
Reorder the terms:
-7 + 4n = 1 + 5n
Solving
-7 + 4n = 1 + 5n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5n' to each side of the equation.
-7 + 4n + -5n = 1 + 5n + -5n
Combine like terms: 4n + -5n = -1n
-7 + -1n = 1 + 5n + -5n
Combine like terms: 5n + -5n = 0
-7 + -1n = 1 + 0
-7 + -1n = 1
Add '7' to each side of the equation.
-7 + 7 + -1n = 1 + 7
Combine like terms: -7 + 7 = 0
0 + -1n = 1 + 7
-1n = 1 + 7
Combine like terms: 1 + 7 = 8
-1n = 8
Divide each side by '-1'.
n = -8
Simplifying
n = -8
Step-by-step explanation:
Answer:
The two number are :
x = 1411
y = 1079
Step-by-step explanation:
Let the two numbers = x and y
The sum of two numbers is 2490
x + y = 2490..... Equation 1
If 6.5 percent of one no. is equal to 8.5 percent of the other,
Hence:
6.5% of x = 8.5% of y
0.065x = 0.085y
Make x the subject of the Formula
x = 0.085y/0.065
x = 1.308y
We substitute 1.308y for x Equation 1
x + y = 2490..... Equation 1
1.308y + y = 2490
2.308y = 2490
y = 2490/2.308
y = 1078.8561525
y = 1079
x + y = 2490..... Equation 1
x = 2490 - y
x = 2490 - 1079
x = 1411
Answer:
x
=5, y
=0
Step-by-step explanation:
To make things easier, this solid can be divided in 3 parts:
- the first one is 2in long, 5in wide and 8in tall
- the second one is 2in long, 8in wide and 3in tall
- the third one is just like the first one, so 2in long, 5in wide and 8in tall
In order to find the volume of the solids, we need to multiply their dimensions:
1st: 2.5.8 = 80
2nd: 2.8.3 = 48
3rd: 2.5.8 = 80
The volume of the big solid is equal to (80 + 48 + 80)
V = 208
Answer:
D
Step-by-step explanation:
2.75(3 x 6 - 15)= 8.25
