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mixas84 [53]
3 years ago
6

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry c

lub wants to spend less than $91 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,
Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
T= # of rental hours


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $91.


Reservation + ($ per hr * # hrs) < $91

$19 + $6t < $91
subtract 19 from both sides

6t < 72
divide both sides by 6

t < 12


ANSWER: To spend less than $91, they need to rent the room less than 12 hours.

Hope this helps! :)
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Rochelle earned $500 during the summer. She put 35% of this amount into savings. Which of the following fraction is equivalent t
vivado [14]

Answer:

65/100 or 13/20

Step-by-step explanation:

65% = 65/100 and simplify to 13/20

6 0
3 years ago
A right triangle has legs of lengths 9 cm and 12 cm. calculate the length of the hypotenuse?
just olya [345]
Let the legs of the triangle be a and b, and the hypotenuse c.

Your first instinct might tell you to use the Pythagorean theorem to go about solving this because c= \sqrt{a^{2}+b^{2}}. This works, but it is slow.

The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.
6 0
3 years ago
Read 2 more answers
Divide x4+2x2−24<br> by x+2
Ipatiy [6.2K]

\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{  x+2  } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8  \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\  _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}&   \\  _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }

\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}

7 0
3 years ago
Read 2 more answers
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
Solve 7 3/4- 5 5/4=
Kaylis [27]

Hey!

----------------------------------------------

Solution:

(5/4 = 1 1/4) and (1 1/4 + 6 = 6 1/4)

= 7 3/4 - 6 1/4 (5/4 = 1 1/4)

= 1 2/4 or 1 1/2

----------------------------------------------

Answer:

1 2/4 or 1 1/2

----------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
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