Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?
1 answer:
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Answer:
$2.45
Step-by-step explanation:
Let x be the number of months.
We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents).
The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be:
Now let find the cost of mango in the 25 month by substituting x=24 in our expression because price will increase 24 times after 1st month.
Therefore, the cost of a mango in the 25th month will be $2.45.
If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(
<span>/3</span>³<span>) = D</span>³/√27
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(