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3 years ago

When evaluating the expression 3 x (3 + 12/3) - 4, Ryan began with 3 + 12. What was Ryan's mistake?

Mathematics

2 answers:

Airida [17]3 years ago

6 0

Answer:

He didn't follow the pemdas rule (see explanation)

Step-by-step explanation:

Rayan's mistake is that he didn't follow the pemdas rule, which states that you start with wat is inside parentheses first, then exponents then multiplication and division(from left to right) and then adding and subtracting (from left to right).

KIM [24]3 years ago

3 0

Answer:

He has to divide 12/3 first

Step-by-step explanation:

it’s like pemdas you have to do that first then you go on to added the 3+ whatever 12/3 is

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What is the solution to the following system of equations? x+y=5 x-y=1 step by step

Andreas93 [3]

x+y=5
-x -x

Equals:

y=-x+5

Now you have:

y=-x+5
x-y=1

Insert -x+5 into y

x-x+5=1

Combine like terms

2x+5=1

Subtract 5.

2x=-4

Divide 2.

Answer: x=-2

8 0

3 years ago

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

Solve the system of equations by graphing. Check your solution. Y= -x+1 X+y= -1/2

Advocard [28]

Answer:

Step-by-step explanation:

try https://www.mathpapa.com/calc.html?q=y%3D2x+1 for faster answers next time

5 0

3 years ago

Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,

Airida [17]

Answer:

Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.

Step-by-step explanation:

a = Stocks

b = Bonds

c = CDs

a + b + c = 75000

b = 30000 + c

a = 75000 - c - 30000 - c = 45000 - 2c

0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610

2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610

0.0635c = 635

c = 10000

So b = 40000 and a = 25000

3 0

3 years ago

Complete this statement: A polygon with all sides the same length is said to be ______.

il63 [147K]

The correct answer to this question is letter "B. equilateral." Complete this statement: A polygon with all sides the same length is said to be equilateral.

Equilateral means all sides are the same length, equiangular means all angles are the same degrees, and regular means both equiangular and equilateral. Convex means that the interior angles can have a maximum of 180 degrees each; no vertexes can point to the center.

7 0

3 years ago

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