20x+5y=120
10x+7.5y=80 multiply this one by 2
___________
20x+5y=120
20x+15y=160 subtract
___________
-10y=-40 divide both sides by -10
____________
y=4
20x+5(4)=120 plug 4 in for y in the first equation
20x+20=120 multiply
20x=100 subtract
x=5 divide to find x
Answer:
and
in interval notation.
Step-by-step explanation:
We have been given a compound inequality
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.



Dividing by negative number, flip the inequality sign:





Dividing by negative number, flip the inequality sign:


Upon merging both intervals, we will get:

Therefore, the solution for our given inequality would be
and
in interval notation.
Answer:
8 + 2x = 30
Step-by-step explanation:
Given,
The initial number of push-ups he does in each day = 8,
And, the number of push-ups, he increases per day = 2,
Let x be the number of days after he will reach his target of 30 push-ups,
Since, the number of push-ups she will increase in x days = 2x,
Thus, the number of push-ups she will do after x days = 8 + 2x,
⇒ 8 + 2x = 30, which is the required equation.
For the leftmost digit there are 9 possibilities!