Answer:
x = 17
Step-by-step explanation:
5x + 29 + 2x + 32 = 180 (linear pair means that these angles add up to 180 cos they are in a line)
7x = 119
x = 17
Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Answer:
10+5=15 sow longer trail is 15
Answer:
$150
Step-by-step explanation:
Let the account earns 5% APR as simple interest for the invested principal.
Now, the formula of simple interest gives that,
, where A is the final amount, P is the principal amount invested, r is the % of interest and t is the number of years for which the principal is invested.
So, the interest earned will be given by, 
Hence, in our case, $300 is invested for 10 years at a simple interest of 5%. So, 
dollars.
Therefore, the amount of interest earned will be $150. (Answer)
