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andre [41]
3 years ago
13

Use the expression $100 + 5n to find the total price for n students to take a field trip to the science museum. If 175 students

go on the field trip, how much will total cost?
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

Total cost= $975

Step-by-step explanation:

Giving the following information:

Total cost= 100 + 5*n

n= number of students

<u>The $100 is a fixed cost. It remains constant no matter the number of students. The $5 is the unitary variable cost</u><u>.</u> The total variable cost increases with the number of students.

<u>Total cost for 175 students</u>:

Total cost= 100 + 5*175

Total cost= $975

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Which of these is the equation for calculating your maximum heart rate?
Dmitry_Shevchenko [17]

Answer:

To find your heart rate you would, D.  220 - your age

Step-by-step explanation:

You can calculate your maximum heart rate by subtracting your age from 220. For example, if you're 45 years old, subtract 45 from 220 to get a maximum heart rate of 175. This is the average maximum number of times your heart should beat per minute during exercise

7 0
3 years ago
Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
Semmy [17]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

7 0
3 years ago
Which is the slope of a line that is parallel to the line represented by the equation x-y=8
pychu [463]

Answer:

slope of parral line is same as slope of line its 1

5 0
3 years ago
Read 2 more answers
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Kobotan [32]

Answer:

7 (g-8)

Step-by-step explanation:

this is your answer

4 0
3 years ago
line L passes through point (2, -5) and is perpendicular to the line with equation y=7. determine the equation of line L
Andrew [12]

Answer:

The equation of the line L is x=2

Step-by-step explanation:

we know that

The line y=7

Is a horizontal line (parallel line to the x-axis)

The slope of a horizontal line is equal to zero

A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)

The slope of the line L is undefined

The line L passes through the point (2,-5)

therefore

The equation of the line L will be equal to the x-coordinate of the given point

x=2

7 0
3 years ago
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