To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.80 per hour. The film club wants to spend at most $73.80 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

Answer: “ACB”

Step-by-step explanation: I took the quiz/test

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Answer:

x² - 30 + 5x

Step-by-step explanation:

(x + 5)(x − 5)

=x(x − 5)+5(x − 5)

=x² - 5 + 5x - 25

=x² - 30 + 5x

Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.

Answer:

because that is equivalent to the not operator

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

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Answer:

7 1/3

Step-by-step explanation:

the 7 stays but 9/27 can be simplified into 1/3 because you divide both 9 and 27 by 9

Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

Answer 153

Step-by-step explanation:

There are 388 pencils. Jake takes away 235 how much does he have left.

Answer: jake has 388 pencils and you took 235 away from him. How many pencils does he have?

Step-by-step explanation:

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

angle BGC and angle BAD

Answer:

43°

Step-by-step explanation:

Angles A and B are supplementary

i. e. angle A + angle B =180°

137° + angle B =180°

angle B=180°-137°

=43°

Answer:

Domain: All Real Numbers or (-∞, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that any value of x can be plugged into the function.

∴ Our answer is all real numbers

Answer:

no

Step-by-step explanation:

u can cut the trapesoid in half and make it into a rectangle then get ur answer

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

Answer:

3,125

Step-by-step explanation:

[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]

Answer:

$12

Step-by-step explanation:

Step 1:

$35 - $23

Answer:

$12

Hope This Helps :)

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Answer:

21

Step-by-step explanation:

(p)=37-16

Answer:24 xexponet 3 − 5

Step-by-step explanation:

The line segment congruent to line HF will be  DF. The correct option is C.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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Answer:

y(t) = 460(0.94)^t

Step-by-step explanation:

Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.

Plug in the values we know:

y(t) = 460(0.94)^t will be the exponential model

The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Since

The initial value is 460, and there is a 6% decrease each period.

So here we use the basic exponential decay form i.e.

[tex]Y = a(1 - b)^x,[/tex]

here a is the starting amount

y is interest

b is the growth/decay rate,

and x is amount of time/periods.

So,

[tex]y(t) = 460(0.94)^t[/tex]

hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

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Answer:

Its letter B

Step-by-step explanation: