Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are
1 answer:
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Answer:
.
Step-by-step explanation:
Let represent the mass (in pounds) of that
copper alloy required, such that the final mixture would contain
copper by mass.
Consider: if pounds of that
copper alloy is mixed with
pounds that
copper alloy, what would be the mass of copper in the mixture?
- Mass of copper in
pounds of that
copper alloy:
.
- Mass of copper in
pounds of that
copper alloy:
.
Therefore, the mixture would contain of copper.
The mass of that mixture would be . The mass fraction of copper in that mixture would be:
.
This ratio is supposed to be equal to . These two pieces of equations combine to give an equation about
:
.
.
Simplify and solve for :
.
.
.
Therefore, of that
alloy would be required.
Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN = °
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO = °
For the second question, things become somewhat more complex.
We know that ∠GHD = ° and ∠AGH
°.
You correctly calculated that °.
∠AGE is equal to both ° and
°. Either equation will work just fine.
∠AGE = °
So m∠AGE = 160°