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3 years ago

The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

Answer: It Diego i think please don’t be mad at me if you get it wrong

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A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c

Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

$\dfrac{120000}{20000}\\\\=\$6$

Margin contributed by 2000 guests would be

$1.50\times 20000\\\\=\$3000$

So, Revenue function would be

$6x+3000$

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

$\dfrac{90000}{20000}\\\\=\$4.5$

So, Cost function would be

$4.5x+50000$

Breakeven point would be

Cost function = Revenue function

$6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333$

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0

4 years ago

Find the circumference of a circle whose area is /. A. B. C. D.

notsponge [240]

I just took the test and the correct answer that i got was B

8 0

3 years ago

Read 2 more answers

If the federal reserve sells 70,000 in treasury bonds to a bank at 9% interest, what is the immediate effect on the money supply

taurus [48]

D , - if the Fed sells bonds, it decreases the money supply by removing cash from the economy in exchange for bonds.
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5 0

3 years ago

Describe how to transform (^6 sqrt x^5)^7 into an expression with a rational exponent.

solniwko [45]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
\left(\sqrt[6]{x^5}\right)^7\implies \left( x^{\frac{5}{6}} \right)^7\implies x^{\frac{5}{6}\cdot 7} \implies x^{\frac{5\cdot 7}{6}}\implies x^{\frac{35}{6}}$

5 0

4 years ago

Could someone explain this to me?

nignag [31]

The rule of the function g (x) will be;

⇒ g (x) = - x + 3

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

g (x) is the indicated transformation of f (x).

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Now,

The rule of f (x) is,

f (x) = - x + 5 ; horizontally translation 2 units left.

Since, g (x) is the indicated transformation of f (x).

So, g (x) = f (x + 2)

Hence, We get;

g (x) = - (x + 2) + 5

= - x - 2 + 5

= - x + 3

Thus, The rule of the function g (x) will be;

⇒ g (x) = - x + 3

Learn more about the transformation visit:

brainly.com/question/1620969

#SPJ1

8 0

1 year ago