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3 years ago

8

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly

2 answers:

Ipatiy [6.2K]3 years ago

8 0

Answer:

The answer is D : 2.95x+39.95(12)

Step-by-step explanation:

MakcuM [25]3 years ago

5 0

Answer: 2.95x+39.95(12)

Step-by-step explanation:

Hi, to answer this question we have t write an expression with the information given:

The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)

Mathematically speaking:

2.95x+39.95(12)

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

3 0

3 years ago

What is (7x-5)- (3x-2)

BaLLatris [955]

Answer:

4x-3

Step-by-step explanation:

Multiply the minus sign to lose the brackets

7x-5-3x+2

combine like terms

7x-3x-5+2

Simplify

4x-3 Answer

Hope this helps!

8 0

3 years ago

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

2 years ago

To convert 8.5 yards today a feet which ratio could you use to multiply by

Free_Kalibri [48]

There are 3feet in 1yard, thus $\bf 8.5yd\cdot \cfrac{3ft}{yd}$

7 0

3 years ago

ILL GIVE BRAILY!!!

Rom4ik [11]

Answer:

Step-by-step explanation:

here A(-3,-2)

-3 is x and -2 is y

so use this formula to find A'

p(x,y)=p'kx,ky)

here k is a scale factor which is 1/2

A(-3,-2)=A'(1/2*-3.1/2*-2)

A'(-3/2,-1)

7 0

2 years ago