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>
8: slope is 1/2 and y intercept is 0
9: slope is 7/4 and y-intercept is 0
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
a = M -Gh/G
Step-by-step explanation:
in order to make a the subject of fomular , you will open the bracket first and then combine the like terms.
G(a + h) = M
Ga + Gh = M
Ga = M - Gh
since G is disturbing a from standing alone, we divide both sides by G
Ga/G = M- Gh/ G
a = M -Gh/G
<u>Given</u>:
The given expression is ![(\sqrt{5})( \sqrt[3]{5})](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29%28%20%5Csqrt%5B3%5D%7B5%7D%29)
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule 
, we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.
