Answer:
174 seconds
Step-by-step explanation:
I tried my best please don't report
Step-by-step explanation:
A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.
The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.
4x + 8 = unknown angle
6x + 3 = unknown angle
(4x + 8) + (6x + 3) = 180
Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.
Solve for x.
(4x + 8) + (6x + 3) = 180
10x + 11 = 180
10x = 169
x = 16.9
Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.
4x + 8
4(16.9) + 8
67.6 + 8 = 75.6 degrees
and the other angle
6x + 3
6(16.9) + 3
101.4 + 3 = 104.4 degrees
Now we know that the smaller angle is 75.6 degrees.
Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.
75.6 + 104.4 = 180 so we know they are supplementary for sure.
Good luck!
Answer:
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ---> the number of dime's coin
z ---> the number of quarter's coin
Remember that



we know that
----> equation A
----> equation B
----> equation C
substitute equation C in equation A and equation B
---> equation A1

-----> equation B1
Solve the system of equations A1 and B1 by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (75,35)
see the attached figure
so
z=75, y=35
<em>Find the value of x</em>

therefore
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Answer:
21
Step-by-step explanation:
28/4=7 (So it is 7 strawberries for every smoothie)
7*3=21