Hope this helps! The slope of the line passing through
(
2
,
7
)
and
(
0
,
−
5
)
is
m
=
y
2
−
y
1
x
2
−
x
1
=
−
5
−
7
0
−
2
=
−
12
−
2
=
6
.
Answer: 3
Explanation:
She has 18 and uses half, 18/2=9
So now she has 9 eggs left, she uses one third, 9/3=3 (3 eggs is one third)
Now she only has six eggs left, she used half of those six to make dinner 6/2=3
She now has 3 eggs remaining.
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
the surface area of that rectangular prism is 247.5.
<span>4−(2x+4)=5
4 - 2x - 4 = 5
-2x = 5
x = -5/2
x = - 2.5</span>
