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Elis [28]
2 years ago
9

Taylor buys 2 gallons of milk for $5.50. What is the cost per gallon

Mathematics
1 answer:
Vanyuwa [196]2 years ago
5 0

Answer:

its 2.75 for one gallon

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Find the missing lengths of the sides
Kay [80]
Your answer would be A.

according to the 30°, 60°, 90° triangle rules,
side a would equal x
side \: b \: would \: equal \: x \sqrt{3}
and side c would equal 2x
4 0
3 years ago
Read 2 more answers
Mathematical induction, prove the following two statements are true
adelina 88 [10]
Prove:
1+2\left(\frac12\right)+3\left(\frac12\right)^{2}+...+n\left(\frac12\right)^{n-1}=4-\dfrac{n+2}{2^{n-1}}
____________________________________________

Base Step: For n=1:
n\left(\frac12\right)^{n-1}=1\left(\frac12\right)^{0}=1
and
4-\dfrac{n+2}{2^{n-1}}=4-3=1
--------------------------------------------------------------------------

Induction Hypothesis: Assume true for n=k. Meaning:
1+2\left(\frac12\right)+3\left(\frac12\right)^{2}+...+k\left(\frac12\right)^{k-1}=4-\dfrac{k+2}{2^{k-1}}
assumed to be true.

--------------------------------------------------------------------------

Induction Step: For n=k+1:
1+2\left(\frac12\right)+3\left(\frac12\right)^{2}+...+k\left(\frac12\right)^{k-1}+(k+1)\left(\frac12\right)^{k}

by our Induction Hypothesis, we can replace every term in this summation (except the last term) with the right hand side of our assumption.
=4-\dfrac{k+2}{2^{k-1}}+(k+1)\left(\frac12\right)^{k}

From here, think about what you are trying to end up with.
For n=k+1, we WANT the formula to look like this:
1+2\left(\frac12\right)+...+k\left(\frac12\right)^{k-1}+(k+1)\left(\frac12\right)^{k}=4-\dfrac{(k+1)+2}{2^{(k+1)-1}}

That thing on the right hand side is what we're trying to end up with. So we need to do some clever Algebra.

Combine the (k+1) and 1/2, put the 2 in the bottom,
=4-\dfrac{k+2}{2^{k-1}}+\dfrac{(k+1)}{2^{k}}

We want to end up with a 2^k as our final denominator, so our middle term is missing a power of 2. Let's multiply top and bottom by 2,
=4+\dfrac{-2(k+2)}{2^{k}}+\dfrac{(k+1)}{2^{k}}

Distribute the -2 and combine the fractions together,
=4+\dfrac{-2k-4+(k+1)}{2^{k}}

Combine like-terms,
=4+\dfrac{-k-3}{2^{k}}

pull the negative back out,
=4-\dfrac{k+3}{2^{k}}

And ta-da! We've done it!
We can break apart the +3 into +1 and +2,
and the +0 in the bottom can be written as -1 and +1,
=4-\dfrac{(k+1)+2}{2^{(k-1)+1}}
3 0
3 years ago
Anna gets paid $8.75/hour working as a barista at Coffee Break. Her boss pays her $9.00/hour for creating the weekly advertiseme
vladimir1956 [14]

Answer:

i believe it would be $443.75

Step-by-step explanation:

just add 8.75 to 9.00 then multiply it by 25

8.75+9.00= 17.75 x 25= 443.75

if its a different type of equation then maybe this didn't help but i hope it does

7 0
3 years ago
Which one is correct for this question need help please
emmainna [20.7K]

Answer:

A is correct, 7 units. Hope this helps! :)

5 0
3 years ago
Simplify (2n + 5) - (3n + 7) + (4n - 9). -3n - 11 3n - 11 -3n + 11 3n + 11
KATRIN_1 [288]
 <span>2n + 5 – (3n + 7) + 4n – 9
</span> <span>6n + 5 – (3n + 7) – 9
</span> <span>6n – 4 – (3n + 7)</span>
 <span>6n – 4 – 3n – 7
</span> <span>3n – 4 – 7
</span> <span>3n –11</span>


6 0
3 years ago
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