We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards
x = y-3 which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74
I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend
y = 13
z = 17
m = 34
Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
Answer:
b = 1.52
Step-by-step explanation:
Length of diagonals of a parallelogram = 
and 
If the given parallelogram is a rectangle,
Length of the diagonals will be equal in measure,
Therefore, 
245b - 365 = 
245b - 365 = 
5(245b - 365) = 4(3b + 6)
1225b - 1825 = 12b + 24
1225b - 12b = 24 + 1825
1213b = 1849
b = 
b = 1.52
Answer:
178
1900 = 5(x+202)
Step-by-step explanation:
Sasha= 5 times Bess and Jeremy
1900 = 5 (202 + X)
/5 /5
380 = 202 + x
-202 -202
178 = x
Inverse proportion is of the form:
y=k/x, in this case the variables are
z=k/x, and we are given the point (6,2) so we can solve for k
2=k/6
12=k, so our equation is:
z=12/x, so when x=13
z=12/13
