7/20 is already in the simplest form!
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
A) Let's first consider the effect of the tax:
total payment = (food cost) + 25% × (food cost) = (1 + 0.25)×(food cost)
If the cost of a sandwich is x dollars, the cost of 6 sandwiches will be 6 times that, or 6x dollars. When the $2 cost of the soda is added, we get ...
food cost = 2 + 6x
Putting this into the equation for total payment, we find the expression to be ...
total payment = 1.25(2 +6x)
_____
B) Evaluating the expression for part A with x=5, we get ...
total payment = 1.25(2 +6·5) = 1.25·32 = 40 . . . . dollars
Answer:
V≈3489.26
Step-by-step explanation:
I just used the formula for a cone's volume and used my trusty calculator! Hope this helps! Comment if you are still confused!
Let
x------> amount of money Theo has
y------> amount of money Denise has
z------> amount of money Rudy has
we know that
x+y+z=$45-----> equation 1
x=5+y-----> equation 2
y=11+z----> equation 3
substitute equation 2 in equation 1
[5+y]+y+z=45-------> 2y+z=40-----> equation 4
y=11+z----> equation 3
2y+z=40-----> equation 4
resolves the equations system
using a graph tool
see the attached figure
the solution is
y=17
z=6
x=5+y----> x=5+17----> x=22
the answer is<span>
Denise has $17</span>
Angle ACD and angle CAD are angles that add to 90 degrees (60+30 = 90) and they are non-adjacent. They do not share a common vertex. So this is why the two angles fit the description for number 12.
In contrast, two adjacent complementary angles are angle FDG and angle GDE. They add to 90 degrees and share the common vertex point D. They also share a common segment DG.