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3 years ago

11

You and two friends eat at a restaurant and split the bill total evenly.The food bill is $63.84.Sales tax is 7%.You leave a 20%

tip.How much should each person pay?

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

The cost per person would be $27.03

Step-by-step explanation:

In order to find this, we must first find the total amount of the bill. We can do this by multiplying the amount of the check by the tax amount and then by the tip amount.

$63.84 * 7% = $4.47

$63.84 * 20% = $12.77

Now we add the amounts of the tax and tip to the original bill.

$63.84 + $12.77 + $4.47 = $81.08

And to find the total amount for each of the 3 people, divide that bill 3 ways.

$81.08/3 = $27.03 per person

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Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the giv

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Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

$\Delta Sector=\dfrac{1}{2}r^2\theta$

Whereas the area of a circle for a radius r is given as

$\Delta Circle=\pi r^2$

Now the ratio is given as

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}$

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }$

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

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3 years ago

There is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group

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The answer is (10,17)

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3 years ago

Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

8 0

3 years ago

satela [25.4K]

Answer:

the answer would be x(f)-3

Step-by-step explanation:

you already know

4 0

2 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

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Let x be the number of weeks; therefore, the two linear equations are

$\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}$

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

Thus, substitute the value of x=3 into the first equation,

$\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}$

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

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1 year ago