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3 years ago

3x=6y-3 (table of values)

Mathematics

1 answer:

Talja [164]3 years ago

8 0

Answer:

The image I put is the answer.

Step-by-step explanation:

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What is the answer to -3 1/2 divided by 1 1/4

Elenna [48]

The Answer is -2 4/5

4 0

4 years ago

If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?

Fittoniya [83]

Step 1: Find the value of one variable in terms of the other.

$a+3b=7\\a=7-3b$

Step 2: Substitute the value you just found for this variable in the other equation.

$3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}$

Step 3: Use your new value for the second variable to find the first.

$a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}$

Now that we know the values for a and b we can find the value of 4a+b.

$4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}$

6 0

4 years ago

A contaminant is leaking into a lake at a rate of R(t) = 1700e^0.06t gal/h. Enzymes that neutralize the contaminant have been ad

olasank [31]

Answer:

16,460 gallons

Step-by-step explanation:

This is a differential equation problem, we have a constant flow of contaminant into the lake, but also we know that only a fraction of that quantity of contaminant remains because of the enzymes. For that reason, the differential equation of contaminant's flow into the lake would be:

$\frac{dQ}{dt} =1700exp(0.06t)*exp(-0.32t)\\\frac{dQ}{dt} =1700exp(-0.26t)\\$

Then, we have to integrate in order to find the equation for Q(t), as the quantity of contaminant in the lake, in function of time.

$\int\limits^0_t {dQ}=\int\limits^0_t {1700exp(-0.26t)dt}\\Q(t)=\frac{1700}{-0.26} exp(-0.26t)+C \\$

Now, we use the given conditions to replace them in the equation, in order to solve for $C$

$t_{0} =0\\Q_{0}=10,000\\Q_{0}=-6538exp(-0.26*0)+C\\C=10,000+6538=16538$

Then, we reorganize the equation and we replace t for 17 hours, in order to determine the quantity of contaminant at that time:

$Q_{t} =-6538exp(-0.26t)+16538\\Q_{17} =-6538exp(-0.26*17)+16538\\Q_{17} =16460 gallons$

3 0

3 years ago

Which of the following is an advantage to using equations?

Elodia [21]

Answer:

The correct option is

(A). When given two names for the same quantity, you can use algebra to solve the equations.

Step-by-step explanation:

I had thesame quiz, lucky you...next time put the options :)

7 0

4 years ago

What is the answer to this

Len [333]

Answer:

it is most definitely A or B because the people increase by 5% each year its probably B

Step-by-step explanation:

5 0

3 years ago