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3 years ago

Evaluate the expression for x=5

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:

There is not enough here to answer this problem

Step-by-step explanation:

Sorry : (

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a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its custome

Natalija [7]

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

4 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:

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

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2 years ago

the greater of two numbers is 1 more than twice smaller. three times greater exceeds 5 times the smaller by 10. find the three n

krek1111 [17]

<h3><u>The value of the greater number is 15.</u></h3><h3><u>The value of the smaller number is 7.</u></h3>

x = 2y + 1

3x = 5y + 10

Because we have a value for x we can plug this value in to find the value of y.

3(2y + 1) = 5y + 10

Distributive property.

6y + 3 = 5y + 10

Subtract 5y from both sides.

y + 3 = 10

Subtract 3 from both sides.

y = 7

We can plug this value back into the original equation to find the value of x.

x = 2(7) + 1

x = 15

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3 years ago

Woodward's seafood resting has a fish tank that is 6 feet long 3 feet wide and 4 feet tall how much water does the fish tank hol

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Answer:

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3 years ago

Which is one difference between fixed rate mortgages and variable-rate mortgages?

statuscvo [17]

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2 years ago