Answer:
x = 21
Step-by-step explanation:
We know that a triangle equals to 180 degrees.
Combine like terms. (x + 3x) and (-4 + 100)
x - 4 + 3x + 100 = 180
Subtract 96 on both sides.
4x + 96 = 180
-96 -96
Divide 4 on both sides.
4x = 84
--- -----
4 4
And you get a solution of 21.
x = 21
<u>Check:</u>
Substitute 21 into x.
Add/Subtract from left to right.
21 - 4 + 3(21) + 100 = 180
17 + 63 + 100 = 180
80 + 100 = 180
180 = 180
<span>3 black ribbons and 12 green ribbons
so P(</span><span>Lila selects a black ribbon)=3/(3+12)
=1/5
</span>2 black ribbons and 12 green ribbons left
P(<span>Jessica selects a green ribbon)=12/(12+2)
</span>=6/7
so P(<span>Lila selects a black ribbon and Jessica selects a green ribbon)
</span>=1/5*6/7
=6/35
ans is D
Here the time function is h(t) = [6 + 96t - 16t^2] feet.
The initial height of the ball is 6 feet. That's when t=0. h(0)=[6+0-0] ft = 6 ft.
At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
h(7 sec) = h(t) = [6 + 96(7) - 16(7)^2] feet This produces a large negative number (-106 ft), which in theory indicates that the ball has fallen to earth and burrowed 106 feet into the soil. Doesn't make sense.
Instead, let t=1 sec. Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
=[6 + 96 -16] ft, or 86 ft.
One sec after the ball is thrown upward, it reaches a height of 86 feet. It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.
Find out how many liters are used in the old toilet in a year;
4×27= 108 l (in a day)
365×108= 39420 liters (in a year)
Find out how many liters are used in the new toilet;
4×6=24 (in a day)
24×365=8760 l (in a year)
Find the water saved; 39420-8760
= 30660 l saved.
Hope I helped :)
