Step-by-step explanation:
Part A:
Let 
be the number of mittens and 
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
5^0=1
Any exponent to zero power equals 1
as a fraction it would be 74 over 25 in one way there might be other ways
Answer: The cost will be the same on month 5.
Step-by-step explanation:
x = number of months
50 + 100(x) = $550
200 + 70(x) = $550
x = 5
Answer:
x = 1; y = 1; z = 0
Step-by-step explanation:
First problem:
First equation minus second equation: 3y + 2z = 3 Eq. A
Second equation plus third equation: 2y + 4z = 2 Eq. B
-2 times Eq. A plus Eq. B: -4y = -4
y = 1
Substitute y = 1 in Eq. A: 3 + 2z = 3
2z = 0
z = 0
Substitute z = 0 and y = 1 in original first equation:
-2x + 2 + 0 = 0
-2x = -2
x = 1
Answer: x = 1; y = 1; z = 0
