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OLEGan [10]
3 years ago
9

PLLEEAASSEE HELP ME!!!!! 20 POINTS AND BRAINLIEST ANSWER

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0
1x+3y=8
3x+2y=10

solve

multiply first equation by -3 and add to 2nd equation

-3x-9y=-24
<u>3x+2y=10 +</u>
0x-7y=-14

-7y=-14
divide by -7 both sides
y=2

sub back
x+3y=8
x+3(2)=8
x+6=8
minus 6
x=2

wow

both juices cost $2 per gallon
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What is 2,871,000,000 in scientific notation
Nimfa-mama [501]

Answer:

2.871*10^9

Step-by-step explanation:

add a decimal point at the end of the number ( 2,871,000,000.) then count how many places it takes to move the decimal point between the first and second number (2.8) then write the rest of the numbers higher than "0" after, giving you the 2.871

to show that the number written is in scientific notation you add 10 to the power of the amount of times you moved the decimal place. In this case, because the decimal point was moved a total of 9 times, it would be 10 to the 9th power (10^9).

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3 years ago
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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
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22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
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So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

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828.7 hours.

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To answer a question in which the total time has to be calculated of all the activities, first of all, all the times have to be converted to a single form. There are two types: decimals and fractions. Convert the fractions into decimals.

Department A = 202.50 hours.

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Department C = 198.25 hours.

Department D = 215 1⁄5 hours = 215.20 hours.

Therefore, the total number of hours spent on this project by all four departments. is the sum of all the above numbers. 202.50 hours + 212.75 hours + 198.25 hours + 215.20 hours = 828.7 hours.

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