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MaRussiya [10]
3 years ago
8

The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen

t, how many (to the nearest ten bacteria) will be present in 10 hours
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

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Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
givi [52]

Answer:

19 quarters and 13 nickles

Step-by-step explanation:

You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40

How many nickels and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters

Coin Total Equation → n + q = 32

Step 2: Rearrange Coin Total Equation in terms of nickels (n)

n = 32 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:

0.05(32 - q) + 0.25q = $5.40

0.05(32) - 0.05(q) + 0.25q = $5.40

1.6 - 0.05q + 0.25q = $5.40

1.6 + (0.25 - 0.05)q = $5.40

1.6 + 0.2q = $5.40

Step 4: Subtract 1.6 from each side of the equation to isolate q

1.6 - 1.6 + 0.2q = $5.40 - 1.6

0.2q = 3.8

Step 5: Divide each side of the equation by 0.2 to isolate q

0.2q

0.2

=

3.8

0.2

q = 19

Step 6: Using our value for q, Solve for n using our Coin Total Equation:

n + 19 = 32

Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19

n = 13

Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40

8 0
2 years ago
9x-2y=-21 2x+3y=16 Substitution
hjlf
9x-2y=-21 \\\\  9x=-21+2y \\\\ => \boxed{x=\frac{2y-21}{9}} \\\\ 2x+3y=16 \\\\ 2*\frac{2y-21}{9}+3y^{(9}=16^{(9} \\\\ 2(2y-21)+27y=144 \\\\ 4y-42+27y=144 \\\\ 31y=144+42 \\\\ 31y=186 \\\\ \boxed{y=\frac{186}{31}=6} \\\\ x=\frac{2*6-21}{9} \\\\ x=\frac{12-21}{9} \\\\ x=\frac{-9}{9} \\\\ \boxed{x=-1}
3 0
3 years ago
Andre earns $4,000 a month at his new job in order to track his spending and saving he created a monthly budget. Andre divided h
Alik [6]

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

3 0
3 years ago
Solve the system of equations 2x-y=132x−y=13 and 6x+5y=-336x+5y=−33 by combining the equations.
andreyandreev [35.5K]

Answer: (2;-9).

Step-by-step explanation:

\left \{ {{2x-y=13\ |*(-3)} \atop {6x+5y=-33}} \right. \ \ \ \ \left \{ {{-6x+3y=-39} \atop {6x+5y=-33}} \right. .\\Summing\  up\  these\  equations:\\8y=-72\ |:8\\y=-9.\\2x-(-9)=13\\2x+9=13\\2x=4\ |:2\\x=2.

5 0
2 years ago
6 weeks = 6*(1 week)<br>=6* (7 days)<br>= 42 days​
balu736 [363]

Answer:

42

Step-by-step explanation:

Yes, you are right.

6 weeks * 7 days in a week.

so 7 days in all 6 weeks is 42 days.

7 0
3 years ago
Read 2 more answers
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