The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.

Step-by-step explanation:

Answer 2

Answer:

possible solution (10,80)

Step-by-step explanation:

Variable Definitions:

x=the number of student tickets sold

y= the number of adult tickets sold

“at most 100 people"→100 or fewer tickets

Therefore the total number of tickets sold, x+y, must be less than or equal to 100:

x+y≤100

“no less than $770"→$770 or more

Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:

6x+11y≥770

Solve each inequality for y:

x+y≤100

y≤−x+100

6x+11y≥770

11y≥770−6x

y≥ -6/11x+70

Graph y≤100−x by shading down and graph y≥-6/11x+70

by shading up


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Step-by-step explanation:

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Evaluate the following expression:
62 - 7(8 + 6 – 3²)


ANSWER STAT!!

Answers

Answer:

27

Step-by-step explanation:

A jet, cruising at 26,400 feet, begins its descent into JFK Airport, when it is 96 miles away. Another jet, cruising at 31,680 feet, is 120 miles from JFK when it begins its descent. Which of these two paths of descent is steeper? Is a linear model reasonable to use in this situation? Explain.

Answers

9514 1404 393

Answer:

  first jet is steeper; not unreasonable

Step-by-step explanation:

The slopes in feet per mile for the two jets are ...

  (26,400 ft)/(96 mi) = 275 ft/mi

  (31,680 ft)/(120 mi) = 264 ft/mi

The descent of the first jet is steeper.

__

The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.

Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.

_____

Additional comment

Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.

please help me to find ​

Answers

Answer:

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Step-by-step explanation:

10/15 = 2/3

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Answer:

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Answers

a. m2 = 74°
b. m3 = 74°
c. m4 = 106°

:)

If 20 buckets of sand are used, how many buckets of EACH of the following will be needed?

Answers

Buckets of cement needed is 5 and sand needed is 20

Solution:

Given that Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1 : 4 : 6

cement : sand : gravel = 1 : 4 : 6

Let the cement needed be "1x"

Let the sand needed be "4x"

Let the gravel needed be "6x"

Given that 20 buckets of sand used

4x = 20

x = 5

Thus buckets of cement needed = 1x = 1(5) = 5

Buckets of sand needed = 4x = 4(5) = 20

5 buckets of cement and 20 buckets of sand are needed

Graph a line that goes through (0, -2) and grows by 4

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I’ve attached a sketch of what it would look like

Simmons and Magda do push-ups for exercise. Simmons does 42 push-ups in 360 s. Magda does 24 push-ups in 3 min. Who does push-ups at a faster rate? *

Answers

Answer:

magda

Step-by-step explanation:

simmon

360 second to minutes

360 ÷ 60 = 6 minutes

push up per minute

42÷ 6 = 7

madge

3 minutes

push up per minute

24 ÷ 3 = 8

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6) 4/50 = 1/8
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Answer:√ 25

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Step-by-step explanation:

I’m sorry I don’t know this one lol

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Answer:

Image #1: -8 and 8

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At birth, a newborn's head is about 25% of its total length. If a baby is 18 inches long, about how many inches is the baby's head?

Answers

Answer:

18 × 0.25 = 4.5

Step-by-step explanation:

25% is multiplying by 0.25

Answer:

4.5 inches long

Step-by-step explanation:

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Simplify the polynomials. : 27. 97 + 47+ n​

Answers

Answer:

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Step-by-step explanation:

We need to simplify the given polynomial i.e.

27.97 + 47+ n​

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Answers

Answer:

8gallons

Step-by-step explanation:

If Joe drinks 10 liters of water every week, then;

10liters = 1 week

After 3weeks;

x litres =3 weeks

Divide both expressions

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x = 30litres

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To determine the number of gallons consumed in 3 weeks;

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Cross multiply

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Answers

1.12 is smaller
keep in mind that there’s two decimal places, which automatically makes it smaller

Answer:

1.12

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

1) find the total of the ratio parts

5 + 3 + 2 = 10 parts in total

2) divide the total by the amount

2680/10 = 268

3) multiply to find the specific ratios

5 * 268 = 1340

3 * 268 = 804

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The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively

What are ratios and proportions?

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Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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