-3n < 81...divide both sides by -3, change the inequality sign
n > -81/3
n > - 27 <==
** in an inequality, when dividing/multiplying by a negative number, the inequality sign changes
By using elimination method the solution for the given equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.
Step-by-step explanation:
The given equations are,
..................................(1)
..............................(2)
Step:1
By elimination method,
Multiplying the equation (1) by 9 ( Eqn (1) × 9)
.................................(3)
Multiplying the equation (2) by -6 ( Eqn (2) × -6)
................................(4)
Step:2
Subtracting the Equations (3) and (4),
( - )
( ) + ( ) = ( )
( ) = ( )
Step:3
Substitute the x=7 in equation (1),
( 5 × 7 ) + ( ) = 17
= -18
= -3
Step:4
Check for solution,
Substitute the x and y values in Eqn (1),
( 5 × 7 ) + ( 6 × -3 ) = 17
( 35 ) - ( 18 ) = 17
17 = 17
Result:
The solution for the equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.
Answer:
x = 67.5 miles
Step-by-step explanation:
Given:-
- The distance between two cities on map, d = 4.5 cm
- Scale : ( 1 cm -> 15 miles)
Find:-
The actual distance between two cities.
Solution:-
- We can direct proportion ratios to determine the actual distance between the two cities by using the scale of the map.
map actual
Scale : 1 cm -------- > 15 miles
cities: 4.5 cm ----------> x
- The proportional relationship is:
x = (15 miles)*(4.5 cm) / ( 1 cm )
x = ( 67.5 miles )
Answer:
x=-14
Y=40
Perimeter=(4×14+3)×4=236
Step-by-step explanation:
as long as it's a square then
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.