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grigory [225]
3 years ago
9

Harry's spell casting class lasts for 11/6 hours each day. Today, he has been in the class for 7/5 of an hour so far. How much m

ore time is left in the class?
Mathematics
2 answers:
polet [3.4K]3 years ago
5 0

Answer:

13/30 hours

Step-by-step explanation:

11/6 - 7/5 = 55/30 - 42/30 = 13/30

Pavel [41]3 years ago
4 0

Answer: 1 13/30 hrs left

Step-by-step explanation:

his class lasts 2 5/6 hrs...and he has already been in there for 1 2/5 hr

so the time he has left can be found by subtracting the time he has been there from the total time of the class

2 5/6 - 1 2/5....

(2 - 1) = 1 : (5/6 - 2/5 = 25/30 - 12/30 = 13/30)

so he has 1 13/30 hrs left

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If you know the area of the circle, then
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3 years ago
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Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)
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Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
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-36=(-6)(-6)+c
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c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
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Pretty please help! there are 4 graphs.
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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
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3 years ago
Choose the expression that represents a cubic expression.
tino4ka555 [31]

The answer is C) 4x3 − 3x2 − 2x + 11

8 0
3 years ago
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