x is the number of adults and y is the number of children.
x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
Answer:
31,536,000
Step-by-step explanation:
There are 3600 seconds in an hour and 24 hours in a day, so ...
(3600 s/h)(24 h/da) = 86400 s/da
Then in 365 days, there are ...
(365 da)(86400 s/da) = 31,536,000 s
_____
No rounding is needed.
<span>5x - 3y= -15
3y = 5x + 15
y = 5/3 x + 5
answer
slope m = 5/3
y intercept = 5</span>
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.