To rent a certain meeting room, a college charges a reservation fee of $44 and an additional fee of $7.40 per hour. The history club wants to spend less than
$73.60 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:

[tex]y = e^{x^2 - 3x}\\\\\\Let \ u = x^2 - 3x\\\\y = e^u\\\\\frac{dy}{du} = e^u\\\\\frac{du}{dx} = 2x - 3\\\\y' = \frac{dy}{dx} = \frac{dy}{du} *\frac{du}{dx} = e^u * (2x -3)\\\\Substitute \ u = x^2 -3\\\\y' = (2x -3)e^{x^2-3x}\\\\option A[/tex]

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

Answer:

5040

Step-by-step explanation:

-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320

40320 ÷ 8 = 5040

(not 100% sure this is right)

Answer:

Step-by-step explanation:

Pet sitters charge $25 to $30 a day on average, depending on the services involved. The average cost of a 30-minute visit is $25, while overnight pet-sitting costs $75 to $85

Number of sections = 9

Angle of each section = 360°/9 = 40°

Answer:

b. 75°

Step-by-step explanation:

By exterior angle theorem:

3x = x + 70°

3x - x = 70°

2x = 70°

x = 70°/x

x = 35°

Therefore, 3x = 3*35° = 105°

[tex] \measuredangle ACB= 180\degree - 105\degree [/tex]

(Linear pair angles)

[tex] \measuredangle ACB= 75\degree [/tex]

Answer:

Upper left coordinate (-8,8),

upper-right coordinates (-3,8)

Lower left (- 8, 5)

Lower right = ( - 3, 5)

Step-by-step explanation:

Given that :

Upper left coordinate (-8,8),

upper-right coordinates (-3,8).

x1, y1 = (-8, 8) ; x2, y2 = (-3, 8)

The distance, d = √(x2-x1)² + (y2 - y1)²

d = √(-3 + 8)² + (8 - 8)²

d = √25

d = 5

Recall :

Area = length * width

Length = distance, d

15 = 5 * w

15 = 5w

w = 15 / 5

w = 3.

Hence, coordinate becomes ;

x3, y3 becomes (- 8, (8-3)) = (-8, 5)

x4, y4 becomes (-3, (8-3)) = (- 3, 5)

Hence, we have

Upper left coordinate (-8,8),

upper-right coordinates (-3,8)

Lower left (- 8, 5)

Lower right = ( - 3, 5)

Answer:

b = 225

Step-by-step explanation:

multiply both members by 15

15 x 15 = (b/15)x 15

b = 225

Answer:

225

Step-by-step explanation:

if b divided by 15 equals 15, multiply 15 by 15 and you get 225

Answer:

$137.75

Step-by-step explanation:

question is 'what is 5.8% of 2375'

'what' means assign a variable

'is' means an equal sign

'of' means to multiply

p = .058 x 2375

p = 137.75

*You could do the following:  p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left

Answer:

Surface Area Formula for a Rectangular Prism: A = 2( wl + hl + hw)

w = width

l = length

h = height

In this picture, it shows that the height is 4, the width is 2, and the length is 3. Therefore, we have:

A = 2 [ (2*3) + (4*3) + (4*2) ]

A = 2(6 + 12 + 8)

A = 2(26)

A = 52

Thus, the surface area is 52 cm^2.

Answer:

[tex]\dfrac{a+b+c}{a} =7[/tex]

Step-by-step explanation:

Given :-

And we need to prove that ,

So let us assume that ,

[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]

Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,

[tex]\implies a + b = 3k \quad \dots (i) [/tex]

Similarly we can say that ,

[tex]\implies c + b = 6k \quad \dots (ii)[/tex]

[tex]\implies a + c = 5k\quad \dots (iii) [/tex]

Subtracting (i) and (ii) :-

Adding (iv) and (iii) :-

[tex]\implies 2c = 4k [/tex]

[tex]\implies \boxed{c = 4k }[/tex]

Put this is (ii) :-

[tex]\implies b +4k = 6k [/tex]

[tex]\implies \boxed{b= 2k }[/tex]

Similarly we will get ,

[tex]\implies \boxed{a = k }[/tex]

Proving the given equation :-

[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]

Hence proved !

Given:

Original price = $145.00

Final cost = $152.25

To find:

The percent of tax.

Solution:

The formula for tax is:

Tax = Final cost - Original price

[tex]\text{Tax}=\$152.25-\$145.00[/tex]

[tex]\text{Tax}=\$7.25[/tex]

Formula for tax percentage is:

[tex]\text{Tax percent}=\dfrac{\text{Tax}}{\text{Original price}}\times 100[/tex]

[tex]\text{Tax percent}=\dfrac{7.25}{145.00}\times 100[/tex]

[tex]\text{Tax percent}=\dfrac{725.00}{145.00}[/tex]

[tex]\text{Tax percent}=5[/tex]

Therefore, the percent of tax is 5%.

Answer: B. 49 inches

Step-by-step explanation:

Circumference is calculated by 2πr, where r is radius. Radius is 8 inches, so the circumference is 2(3.1415)(8) ≈ 49 inches.  

A clock has 12 hours on it.

360/12 = 30

Each hour is 30 degrees.

3pm to 7:30pm is 4.5 hours

Multiply total hours by degrees per hour:

4.5 x 30 = 135 degrees

Answer:

135 degree

Step-by-step explanation:

difference of 3pm to 7:30 is 4 hrs 30 min

12hrs=360degree

60min=360degree

4×360/12

=120

360/12×60×30

360×30÷720

15

now

120+15

135degree

Answer:

4√5

Step-by-step explanation:

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

Answer:

Step-by-step explanation:

I got chu UwU, the answer is B cause it is smaller

Answer:

D

Step-by-step explanation:

Answer:

I believe it's the Gulf Stream

Step-by-step explanation:

"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."

Answer:

im going to say the equator

Step-by-step explanation:

Answer:

7.5%

Step-by-step explanation:

Cost of memory card including tax = $138.89

Cost of memory card only = $129.20.

Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only

= $138.89 - $129.20

= $9.69

Cost of tax on memory card = $9.69

What percent sales tax did he pay.

Percent of tax = Cost of tax on memory card / Cost of memory card only

= $9.69 / $129.20 × 100

= 0.075 × 100

= 7.5%

Percent of tax = 7.5%

Answer:

Percentage increase = 36%

Step-by-step explanation:

Kitten's weight = 640 grams

Adult's weight = 2918 grams

To find the percentage increase in the kitten's weight;

We will calculate the increase using the formula;

[tex] Increase = original \; number - new \; number [/tex]

Substituting the values, we have;

Increase = 2918 - 640 = 2278

Mathematically, percentage increase is calculated using the following formula;

[tex] Percentage \; increase = \frac{increase}{original \; number} * 100[/tex]

[tex] Percentage \; increase = \frac{2278}{640} * 100[/tex]

[tex] Percentage \; increase = 3.56 * 100[/tex]

Percentage increase = 35.5 ≈ 36%

Answer:

North?

Step-by-step explanation:

Answer: 169 more?

Step-by-step explanation: I multiplied 13x13 and got 169

Answer:

C. 5*5*5*5

Step-by-step explanation:

Answer:

B.16

Step-by-step explanation:

4x4=16

Answer:65

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.

EX:

(x-3)^(3)=0

Answer:

y=140+25x

Step-by-step explanation:\Given data

Flat fee= $140 per event

Charge per contract=$25

Hence the expression for his total charges y for x number of contracts is expressed as

y=140+25x

Answer:

c

Step-by-step explanation: