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tresset_1 [31]
2 years ago
12

Celeste and Dora both offer guitar lessons. Celeste charges an initial fee of $5.00, and an hourly rate of $7.25. Dora has an in

itial fee of $10.25, and an hourly rate of $6.50. At how many hours of instruction will the cost for each instructor be the same?
Which equation represents the scenario?
(7.25h + 5) + (6.5h + 10.25)
(5h + 7.25) + (10.25h + 6.5)
5h + 7.25 = 10.25h + 6.5
7.25h + 5 = 6.5h + 10.25
Mathematics
2 answers:
kolezko [41]2 years ago
6 0

The equation for the celeste is,

Celeste=5+7.25h

Here , h is the number  of hour

now,the equation for the Dora is ,

Dora= 10.25+6.5h

For the same cost, after h hours

5+7.25h=10.25+6.5h

The last option is correct

PLEASE MARK ME AS BRAINLIEST

liq [111]2 years ago
5 0

Step-by-step explanation:

D option is the correct answer of this question ...

plz mark my answer as brainlist plzzzz and plz vote me

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Margaret and Bethany have a lemonade stand for one week each summer.
Monica [59]

Answer:

6.00

Step-by-step explanation:

5 0
2 years ago
A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x
Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

<u><em>That would be number of units sold to get max revenue.</em></u>

<u><em /></u>

<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>

<u />

Before differentiating, we see the rules shown below:

f(x)=ax^n\\f'(x)=n*ax^{n-1}

Where

f'(x) is the differentiated function

Now, let's do the process:

r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000

The max revenue amount is $350,000

5 0
2 years ago
Tanisha and Neal are simplifying the expression . They each began the same way. Tanisha’s Work Neal’s Work Which statements are
valentina_108 [34]

Answer:

The correct simplified answer is \frac{1}{8} \left (\frac{x}{ y}  \right )^{8} or  \frac{x^8}{81\cdot y^8}

Step-by-step explanation:

Here we have the expression as

\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})}   \right )^{4}

Tanisha's work

\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})}   \right )^{4} = \left (\frac{(x^2)(y^{-2})}{3}   \right )^{4}

Neal's work is

\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})}   \right )^{4} = \left (\frac{(x^{16})(y^{-20})}{3^4(x^8)(y^{-12})}   \right )

The correct simplified answer is   \frac{x^8}{81\cdot y^8}.

which can also be expressed as

\frac{1}{8} \left (\frac{x}{ y}  \right )^{8}

Both form represent simplified forms of the original equation.

8 0
2 years ago
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Can someone please help me with my Imagine Math? My teacher assigned are class to do this even though we haven't learned about t
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Answer:

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Step-by-step explanation:

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lara [203]
That'd be one third of 1500 muffins, or 500 muffins.  
3 0
2 years ago
Read 2 more answers
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