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Nataly [62]
3 years ago
10

A school group has $140 to spend. Write and solve an inequality that represents the cost to rent the main hall, where h represen

ts the number of hours the group can rent the room.
Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

a. 15h + 40 ≤ 140

b. h ≤ 6.6

<em>Note: The question is missing a table. The table is shown in the attachment below.</em>

Step-by-step explanation:

a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.

The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.

Let  h represent the number of hours the group can rent the hall.

Cost of renting the main hall, C is given by:

15h + 40 ≤ 140

b. Solution of the inequality:

15h + 40 ≤ 140

15h ≤ 140 - 40

15h ≤ 100

h ≤ 100/15

h ≤ 6.6

Therefore, the main hall can only be rented for a maximum of 6.6 hours or less

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Considering the definition of parallel line, the equation of line l is y= -5x -11.

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A linear equation o line can be expressed in the form y = mx + b

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Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

<h3>Equation of parallel line in this case</h3>

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

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Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

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Finally, the equation of parallel line is y= -5x -11.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

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