To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 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:

B) $16

Step-by-step explanation

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Answer:

its either b or d

Step-by-step explanation:

b or d is the answer

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

Answer:

n<8

Step-by-step explanation:

Answer: N < 8

Step-by-step explanation:

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

total = green marbles + red marbles + blue marbles

55 = 15 + 12 + blue marbles

55 = 27 + blue marbles

55 - 27 = blue marbles

28 = blue marbles

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

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Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

Answer:

1/3

Step-by-step explanation:

Use the elimination method.

15x - 12y = 13

30x + 9y = 4

If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.

-2(15x - 12y = 13)

30x + 9y = 4

You should have these two equations now:

-30x + 24y = -26

30x + 9y = 4

Add them together now. You should get this now.

33y = -22

Divide both sides by 33. You should get y = -2/3

Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.

30x + 9 (-2/3) = 4

30x - 6 = 4

30x = 10

30     30   (divide 30 and 10 by 30)

x = 1/3

Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Answer:

14 > 6

Step-by-step explanation:

because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

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Answer:

x < 2

Step-by-step explanation:

3x - 2 < 4

   + 2 | + 2

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

    3x < 6

         ↓

(3x) / 3  <  6 / 3

         ↓

       x < 2

Step-by-step explanation:

a) 1st term: 1-4= -3

2nd term: 2-4= -2

3rd term: 3-4= -1

b) FORMULA: a1 (n-1) d

a1 (first term): -3

d (difference): 1

-3 (n-1) 1

-3-1n-1= -1n-4

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Answer:

3 and 7

Step-by-step explanation:

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

Answer:

x = 8

Step-by-step explanation:

Let the number = x

x/6 - 1/3 = x/8

-1/3 = x/8 - x/6

-1/3 = (6x-8x)/48

-1/3 = -2/48x

Divide both sides by -2/48

x = -1/3 ÷ -2/48

= -1/3 × -48/2

= 48/6

= 8

x = 8

The number = 8