Answer:
the way to work these types of problems is to create a table. The table will have three rows and three columns.
The table:
Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.
Product Amount Cost Total
--------------------------------------------------------
Nuts x .60 .60 * x
Bolts 138 - x .66 .66 * (138 - x)
Mix 138 .65 .65 * (138)
Step-by-step explanation:
The equation:
The nuts plus the bolts must equal the mix or:
.60 * x + .66 * (138 - x) = .65 * 138
I do not like to work with decimals, so multiply each term by 100:
60 * x + 66 * (138 - x) = 65 * 138
Remove the parenthesis and combine like terms:
-6x = -66 * 138 + 65 * 138
-6x = -138
Divide both sides by -6:
x = 23
Solution:
The mixture contains 23 kilograms of nuts.
The mixture contains 138 - 23, or 115 kilograms of bolts.
Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies.
For Job 'B', his salary would be: 62,000 + 2,000n
A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.
B.
a. 55,000 + 2,500n
b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a.
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]]
Anyway, I hope this helped! :D
<u>Answer:</u>
<u>Step-by-step explanation:</u>
- 10 + 4.5m = 21.25
- => 4.5m = 21.25 - 10
- => 4.5m = 11.25
- => m = 11.25/4.5
- => m = 2.5
<u>Conclusion:</u>
Therefore, m = 2.5
Hoped this helped.
'justify your answer using complete sentences' means re-write your answer in a complete sentence. In other words, say your answer in a full and clear sentence.
Similar Polygons
Similar polygons are polygons whose corresponding angles are congruent and their corresponding sides are proportional. In other words, Polygons that have the same shape but not necessarily the same size are called similar polygons.
