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Alex
3 years ago
12

A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu

dget for the corporate team-building event is $31?
Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

There can be at most 12 attendees in a corporate team-building event.

Step-by-step explanation:

Let x denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12

So, there can be at most 12 attendees in a corporate team-building event.

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The image shows the distances in miles between three cities. How much closer is it to travel from Aurora to Clifton directly tha
murzikaleks [220]

Answer:

First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:

    x² + 65² = 97²

=> x²           = 97² - 65²

=> x²           = 5184

=> x             = √5184 = 72 (m)

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)

We have: 137 - 97 = 40 (m)

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

7 0
3 years ago
Find the slope of the line through each pair of points.
Natali [406]

Answer:

1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17

Step-by-step explanation:

y2 - y1 / x2 - x1

1. -18 - -18 / 15 - 6 = 0

2. 16 - 12 / 0 - 8 = -4/8 = -1/2

3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)

4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3

5. -36 - -12 / 4 - 8 = -24 / -4 = 6

6. - 23 - -15 / 11 - 7 = -8 / 4 = -2

7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17

3 0
2 years ago
Read 2 more answers
Find the percent of increase from 4.5 inches to 13.5 inches.
jolli1 [7]

Answer:

200%

Step-by-step explanation:

Increase: 13.5 - 4.5 = 9

%increase:

Increase/initial × 100

9/4.5 × 100

200%

4 0
4 years ago
How do you find percentages?
DochEvi [55]
To calculate percentage increase, use the following method:

First, Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Now, divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Also, If your answer is a negative number it is a percentage decrease.


To calculate percentage decrease, use this method:

First, Work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then, divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

Also, If your answer is a negative number then it is a percentage increase. 

<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula.  Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>

4 0
3 years ago
What properties of a figure stay the same after a reflection? *
devlian [24]

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

7 0
3 years ago
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