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3 years ago

A tile store charges $607.50 to install 135 square feet of tile. Assuming they charge the same rate

Mathematics

1 answer:

jasenka [17]3 years ago

7 0

Answer:

the tile is 4.50 per square foot to install

it will cost 3780.00 to install 840 square feet

Step-by-step explanation:

divide 607.50 by 135 to find out the price per square foot to install

multiply the price per square foot by the number of square feet you are installing so 4.50 X 840

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A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe

adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

$\frac{dC}{dt}=Ci*Qi-Co*Qo$

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

$\frac{dC}{dt}=-Co*Qo$

Rearranging the equation, it becomes

$\frac{dC}{C}=-Qo*dt$

Integrating both sides

$\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}$

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

$C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\$

The final equation for the concentration of salt at any given time is

$C=exp^{-3*t-0.693}$

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

$C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}= -\frac{-0.266}{3}=0.088$

5 0

2 years ago

Help Please!!!!!!!!

VladimirAG [237]

Answer:

$14.50 I'm positive.

Step-by-step explanation:

Rented one time shoes: $2.75

One game of bowling: $2.50*4 games of bowling

4 games of bowling is $10

$2.75+$10

One nachos: $1.75*2 orders of nachos

2 orders of nachos is $3.50

Half price of nachos, so 3.50/2 which is 1.75.

$2.75+$10+$1.75= <u>$14.50</u>

HOPE THIS HELPED :)

3 0

2 years ago

Please solve 2x+3=x−4

ddd [48]

The answer is x = -7

4 0

2 years ago

Read 2 more answers

During a rainstorm 2inches of rain fell in 5hours at that rate how many hours will It take for 20 inches of rain to fall

Trava [24]

Answer:

You would get 8in of rain Hope this Helped

Step-by-step explanation:

8 0

2 years ago

Members of the BladeRunner Skating Club collected $950 from fundraising activities. They want to buy Ultrablade skates which are

Ivahew [28]

They can buy 33 pairs of skates. The remainder represents the part pf the skate they can almost buy with that money.

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3 years ago