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>
Answer:
$243.92 for 8 is cheaper
Step-by-step explanation:
To find the unit price for the 6 shirts you would do 188.94 divided by 6.
To find the unit price for the 8 shirts you would do 243.92 divided by 8
for 6 shirts it's: $31.49/shirt
for 8 shirts it's: $30.49/shirt
Because the two angles on the right add to 180 degrees, we can create this system:
We can also prove that
, which, when solved, shows that
.
When plugged in to the original equation, we find that y = 105 degrees.
Answer:
29.1 units²
Step-by-step explanation:
½ × 13 × 8 × sin(34)
29.07803098
Answer:
1,600
Step-by-step explanation: