A boat company charges a flat fee of $35.00 plus $7.25 per hour to rent a boat. Another company charges a fee of $29.00 plus $10.50 per hour to rent the same boat. PLEASE SHOW WORK.

Answers

Answer 1

Answer: 35.00 + 7.25x = 29.00 + 10.50x

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4Roberta wants to create 32 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture oftwo lotions. One lotion has a 21% concentration of beeswax, and the second lotion has a concentration of 5% beeswax. Based onthe inequality below, how much of the 21% lotion, x, will she need?0.21x + 0.05(32 - x) > 4.8A x 20ОВ.x > 28C. x 16OD. x > 21.33ResetSubmit
in a theater there are 200 seats adult tickets cost $12.50 and child tickets cost $6.25 the cinemas goal is to sell at least $1500 worth of tickets for the theater write a system of inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy, the goal.
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hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.

Answers

Answer:

$2√(6)$

Step-by-step explanation:

Perimeter of equilateral triangle = 36 inches

Formula of perimeter of equilateral triangle = $3* side$

⇒ $36=3* side$

⇒ $(36)/(3) = side$

⇒ $12= side$

Thus each side of equilateral triangle is 12 inches

Formula of area of equilateral triangle = $(√(3))/(4) a^(2)$

Where a is the side .

So, area of the given equilateral triangle = $(√(3))/(4) * 12^(2)$

= $36√(3)$

Since hexagon can be divided into six small equilateral triangle .

So, area of each small equilateral triangle = $(36√(3))/(6)$

= $6√(3)$

So, The area of small equilateral triangle :

$(√(3))/(4)a^(2) =6√(3)$

Where a is the side of hexagon .

$(1)/(4)a^(2) =6$

$a^(2) =6* 4$

$a^(2) =24$

$a =√(24)$

$a =2√(6)$

Hence the length of a side of the regular hexagon is $2√(6)$

$Perimter\ of\ equilateral\ triangle\ =36\n a- \ side\ of\ triangle\n 36=3a\ |:3\n a=12\n\n Area\ of\ equilateral\ triangle:\n A=(a^2√(3))/(4)\n A=(12^2√(3))/(4)\n A=(144√(3))/(4)=36\sqrt3 \n\n Hegagon\ can\ be\ divided\ into\ 6\ equilateral\ small\ triangles.\nArea\ of\ one\ of\ them: A_s=(A)/(6)=(36\sqrt3)/(6)=6√(3)\n s-side\ of\ equilateral\ =\ side\ of\ small\ triangle\n A_s=(s^2√(3))/(4)=6√(3)\ |*4 \n s^2\sqrt3=24\sqrt3\ |\sqrt3\n s^2=24\n s=√(24)$ $√(24)=√(4*6)=2\sqrt6\n\n Side\ of\ hexagon\ equals\ 2\sqrt6\ inches$

Find the percent of decrease from 22 songs to 12 songs. Round to the nearest tenth of a percent if necessary.percent of decrease %

Answers

Answer:45.5% decrease????

Step-by-step explanation:

Hey 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats so for $20 each at one event $30,180 was collected and ticket sales with 10 seats left on so how many for each type of ticket was sold

Answers

Answer:

Number of premium tickets sold = 638

Number of regular tickets sold = 552

Step-by-step explanation:

Let number of premium tickets sold be p and number of regular tickets be r.

Total number of seats = 1200

Ticket sales with 10 seats left on, that is

p + r = 1190 ----------------eqn 1

Cost of premium ticket = 30 $

Cost of regular ticket = 20 $

Money collected = 30180 $

Total money collected = 30 p + 20 r = 30180

3p + 2 r = 3018 ----------------eqn 2

eqn 1 x 2

2p + 2r = 2380 --------------------eqn 3

eqn 2 - eqn 3

p = 3018 - 2380 = 638

Substituting in eqn 1

638 + r = 1190

r = 552

Number of premium tickets sold = 638

Number of regular tickets sold = 552

x = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.

Solve the system of equations 3y+2z=12 and y-z=9

Answers

mulitply second equation by 2 and add to first

3y+2z=12
2y-2z=18 +
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6

On a backpacking trip through Europe, Troy spent 20 Swiss francs to stay one night in a youth hostel. If the foreign exchange rate between the U.S. dollar and the Swiss franc is 1:2.2, how much did Troy spend in U.S. dollars?