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3 years ago

Aubrey's dinner cost $85. She tips the waitstaff 30%% for excellent service How much does Aubrey tip the waitstaff?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

7 0

Answer:

$25.50

Step-by-step explanation:

We need to find 30% of 85:

30%*85

Convert 30% to a fraction to make the math easier:

$\frac{30}{100}*85=\frac{3}{10}*85=25.5$

She tipped the waiter $25.50

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A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh

Rainbow [258]

The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet

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brainly.com/question/17147411

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8 0

1 year ago

Determine the equation of the tangent to x− 3x +1 at the point (3,1)

wariber [46]

9514 1404 393

Answer:

y = 3x -8

Step-by-step explanation:

We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.

y' = 2x -3

At x=3, the slope is ...

y' = 2(3) -3 = 3

The equation of the line through point (3, 1) with a slope of 3 is ...

y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line

y = 3x -9 +1 . . . . . eliminate parentheses, add 1

y = 3x -8

4 0

4 years ago

What is the horizontal asymptote of the function f(x)= -2x/x+1

daser333 [38]

Answer:

-2

Step-by-step explanation:

We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.

Recalling the rules for a horizontal asymptote:

1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.

2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.

3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.

Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.

Horizontal asymptote = $-\frac{2}{1}$ = -2

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3 years ago

The angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum o

Airida [17]

Step-by-step explanation:

It is given that the angels of a triangle have a sum of 180°. The angles of a rectangle have a sum of 360°. The angels of a pentagon have a sum of 540.

Let me define the each terms.

1. We know that each angle in a triangle is 60°, So there is a three angle in a regular triangle.

60° + 60° + 60°
180°

2. We know that each angle in a rectangle, is 90°, So there is a four angle in a regular rectangle.

90° + 90°+90°+90°
360°

Similarly,

There is 8 angle in a regular octagon and each angle measurement is 135°.

So, sum of the angles of an octagon = 135° × 8

Sum of the angles of an octagon = 1080°

Therefore, the required sum of the angles of an octagon is 1080°

6 0

3 years ago

Write down 1 16 as (a) a decimal, [1] (b) a percentage.

Ede4ka [16]

Answer:

(a) 1.0625

(b) 6.25% percentage

Step-by-step explanation:

5 0

3 years ago

Aubrey's dinner cost $85. She tips the waitstaff 30%% for excellent service How much does Aubrey tip the waitstaff? ​

Aubrey's dinner cost $85. She tips the waitstaff 30%% for excellent service How much does Aubrey tip the waitstaff?