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3 years ago

12

At a recreation center, it costs $3 per hour to

1 answer:

Zinaida [17]3 years ago

8 0

It is possible to rent 8 ping pong tables.

This is because if you are renting a bowling lane for 2 hours you would do 12+12 and that’s 24. You would then do 24/3 cause that’s the amount of the cost for 1 hour of the ping pong to rent and that would give you and answer of 8.
Hope that’s helps:)

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-3(x + 5) + 8 = 2(x + 4) - 6

Elodia [21]

-3x+(-15)+8=2x+8-6
45x+8=2x+2
not equal

6 0

3 years ago

Read 2 more answers

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=72,000+60x

myrzilka [38]

Answer:

Step-by-step explanation:

Given

Cost Price $c(x)=72000+60x$

Price $p(x)=300-\frac{x}{20}$

Revenue generated $R(x)=P(x)\times x$

where x=no of units

$R(x)=300x-\frac{x^2}{20}$

To get maxima and minima differentiate R(x)

$\frac{\mathrm{d} R(x)}{\mathrm{d} x}=0$

$\frac{\mathrm{d} R(x)}{\mathrm{d} x}=300-2\times \frac{x}{20}=0$

$300=2\times \frac{x}{20}$

$x=3000$

maximum Revenue $R(x)=(300-\frac{300}{20})\times 300=4,50,000$

(b)Profit=Revenue - cost

$Profit=xp(x)-c(x)$

$Profit=300x-\frac{x^2}{20}-72000-60x$

$Profit(z)=240x-\frac{x^2}{20}-72000$

differentiate Profit to get maximum value

$\frac{\mathrm{d} z}{\mathrm{d} x}=240-2\times \frac{x}{20}$

$x=2400$

maximum Profit $z=2,16,000$

(c)Now company decided to tax the company $ 55 for each set

Profit $(z_1)=xp(x)-c(x)-55x$

$z_1=300x-\frac{x^2}{20}-72000x-60x^2-55x$

$z_1=185x-\frac{x^2}{20}-72,000$

differentiate Profit to get maximum value

$\frac{\mathrm{d} z_1}{\mathrm{d} x}=0$

$\frac{\mathrm{d} z_1}{\mathrm{d} x}=185-\frac{2x}{20}=0$

$x=1850$

$P(z_1\ at\ x=1850)=99125$

company should charge 207.5 $ for each set

6 0

3 years ago

2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degr

Damm [24]

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

5 0

2 years ago

Find two consecutive odd integers whose product is 143

Dennis_Churaev [7]

Two consecutive odd integers whose product is 143 are 11 and 13.

4 0

3 years ago

Raju bought 12 pencils at $0.35 each and 10 pens at $1.75 each . How much did raju spend in total?

MrRa [10]

21.7 Because $0.35 x 12 is 4.2 and 1.75 x 10 is 17.5 and add that up and it’s 21.7!

7 0

3 years ago