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Paul [167]
3 years ago
13

A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater c

an seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.

Which inequalities are among the constraints for this situation?
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer: The constraints for this solution would be: 1000 >_ 12x + 8y; 200 <_ x + y

Step-by-step explanation:

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The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spr
nordsb [41]

Answer:

t > 82

Step-by-step explanation:

First write what we know.

Earned $72

$4 per ticket, t

Cost is $400

So let's write our equation:

The cost is $400 so we put that on the left side,

$400 =

Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.

So we write:

$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.

400 = 4t + 72   Subtract 72 from each side.

400 - 72 = 4t + 72 - 72  

328 = 4t     Divide each side by 4.

328/4 = 4t/4

328/4 = t

82 = t

If the committee wants money left over they need to sell more than 82 tickets!

Our inequality is:

t > 82

7 0
3 years ago
20 gallons to 0.75 gallons express in simplest form
natta225 [31]

20 : 0.75 = 40 : 1.5 = 80 : 3

7 0
3 years ago
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
What number would complete the pattern below? 66 73 13 21 52 __ 10 20
Serhud [2]
The answer is d.61. 66+7=73. 13+8=21. 52+9=61. 10+10=20
3 0
3 years ago
Read 2 more answers
Plz help!!!! Need quick. 65 points
DanielleElmas [232]

Answer:

The area of the mat is 2/3 m^2

Step-by-step explanation:

Area of a rectangle is length times width or

A = l x w

8/9 x 3/4 =

24/36 =

2/3

4 0
3 years ago
Read 2 more answers
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