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GarryVolchara [31]
3 years ago
11

Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill

equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.
Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

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Sam bought a soft drink for 4 dollars and 7 candy bars . he spent a total of 18 dollars. how much did each candy bar cost?
Masteriza [31]
18 dollars - 4 dollars for the drink = 14 dollars after you take out the drink
$14 divided by 7 candy bars = $2 per candy bar

8 0
3 years ago
While sitting on a rooftop 95 feet off the ground Mary flicks a twig up and off of the ledge with the initial vertical velocity
cestrela7 [59]

Answer:

The maximum height of the twig is 96.6 feet off the ground

Step-by-step explanation:

To determine the maximum height of the twig,

First, we will determine the height distance covered by the twig after Mary flicks the twig up.

From the question,

Mary flicks a twig up and off of the ledge with the initial vertical velocity of 10 feet per second, that is

the initial velocity of the twig is 10 feet/second

At maximum height, the final velocity is 0

From on the equations of motions for bodies moving upwards,

v² = u² - 2gh

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (Take g = 9.8m/s² = 32.17 ft/s²)

and h is the height

From the question

u = 10 feet/second

and v = 0 feet/second

Putting the values into the equation

v² = u² - 2gh

0² = 10² - 2(32.17)h

0 = 100 - 64.34h

64.34h = 100

h = 100/64.34

h = 1.6 feet

This is the height distance covered by the twig after Mary flicks it up.

Now, the maximum height of the twig will be the sum of the height of the rooftop from the ground and the height distance covered by the twig.

That is,

Maximum height = 95 feet + 1.6 feet

Maximum height = 96.6 feet

Hence, the maximum height of the twig is 96.6 feet off the ground.

7 0
3 years ago
The sum of three consecutive even integers is 54. Find all three integers.
matrenka [14]
A good way to find the answer to these questions is to find it algebraically. Let's call the first number 'n'. 
n + (n + 2) + (n + 4) = 54
3n + 6 = 54
3n = 48
n = 16
Therefore the numbers are 16, 18, 20

6 0
3 years ago
How is the sum expressed in sigma notation? <br> 1/64+1/16+1/4 + 1 + 4
shusha [124]

9514 1404 393

Answer:

  sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we  have ...

  term #: 1, 2, 3, 4, 5

  value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

  \displaystyle sum=\sum_{n=1}^5{4^{n-4}}

5 0
3 years ago
Find the slope of the line that goes through the two points.<br> (6,7) (-2,11)
Alla [95]

Answer:

-1/2

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1).

Plug in the values given in the problem

(11-7)/((-2)-6)

Then simplify

4/(-8)=-1/2

3 0
2 years ago
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