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2 years ago

How many solutions are there on the equation below 16(x+2)-8=16x+24

Mathematics

1 answer:

goblinko [34]2 years ago

4 0

Answer:

Infinitely many solutions

Step-by-step explanation:

First,

$16(x+2)=16\cdot x+16\cdot 2=16x+32.$

Then

$16(x+2)-8=16x+32-8=16x+24.$

The equation becomes

$16x+24=16x+24.$

This equation is always true equality (because left and right parts are the same for all possible values of x). This means that equation has infinitely many solutions.

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Quick please no links or anything just the straight up answer

neonofarm [45]

Answer:

Step-by-step explanation:

11x+6 = 15x-26

7 0

3 years ago

Solve using the appropriate formula. Substitute 3.14 for π. Hint: Circle: A = πr2 Find the area of a circle with a radius of 4 c

arsen [322]

Answer:

The area of a circle is [tex]\pir^{2}[\tex] and the radius is 4 so we have 16π and substituting 3.14 for pi we get 50.24 .

Hope this helps!

8 0

2 years ago

Read 2 more answers

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

3 years ago

A mile is 5,280 feet. Between which to integers is the elevation in miles?

Tatiana [17]

5300 and 6000 is the elevation in miles

7 0

3 years ago

Reference angle of 203 degrees

Alex787 [66]

The angle is in the 3rd quadrant so you subtract 180° from it giving you 23°

5 0

3 years ago