Answer:- The smaller integer is -5.
Explanation:-
Let the first consecutive integer be x and the second consecutive integer be x+1.
According to the given question:-
x+6(x+1)= -29
⇒x+6x+6= -29 [distributive law]
⇒x+6x= -29-6 [subtract 6 on the both sides]
⇒7x= -35 [combining like terms ]
⇒x= -5 [dividing 7 on both sides]
Thus the smaller integer =x= -5
larger integer =x+1= -5+1= -4
84 is no less than 7 times K, 84 divided by 7= 12,
K=12
The answer is 25, 33. The difference between each consecutive number is 8.
see attached picture for #6
10 the inequality would be :
12 inch box is x
15 inch box is y
12x+15y≤84
