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sertanlavr [38]
2 years ago
6

Lavania is studying the growth of a population of fruit flies in her laboratory. After 6 days she had nine more than five times

as many fruit flies as when she began the study. If she observes 20 fruit flies on the first day of the study, write and evaluate an expression to find the population of fruit flies Lavania observed after 6 days
Mathematics
1 answer:
MatroZZZ [7]2 years ago
5 0

Answer:

Lavania observed 39 fruit flies after 6 days of observation

Step-by-step explanation:

Let x be the number of fruit flies on the first day of Lavania's study.

After 6 days she had nine more than five times as many fruit flies as when she began the study.

Five times as many fruit flies as when she began the study = 5x

Nine more than five times as many fruit flies as when she began the study=5x+9

The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9

If she observes 20 fruit flies on the first day of the study, then x=6, then

5x+9=5\cdot 6+9=30+9=39

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I agree with Marita, that the angles could have the same measure.  This can be proven if you set the two amounts equal and solve for x. 

9x - 25 + x = x + 50 + 2x - 12

To begin, we should combine like terms on both sides of the equation to start simplifying the equation.

10x - 25 = 3x + 38

Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.

7x = 63

Finally, we should divide both sides by 7, to get rid of the coefficient of x.

x = 9

If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees.  This means that Marita is correct, because if x = 9, then the angles would have the same measure.


8 0
2 years ago
During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
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So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)
6 0
2 years ago
Marika is training for a race track. she starts by sprinting 100 yards. she gradually increases her distance, adding 4 yards a d
iren2701 [21]

Answer: the correct answer is D.

Step-by-step explanation:

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2 years ago
Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of
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Answer:

d

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3 0
2 years ago
A daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula an=1.5(an-1)-10
zaharov [31]

Answer:

Hence, the number of daylilies in the first year were:

600

Step-by-step explanation:

It is given that:

the recursive formula a_n=1.5(a_{n-1})-100 represents the number of daylilies, a, after n years.

Also we are given that in the fifth year they have 2,225 daylilies.

i.e.

a_5=2225

Also,

a_5=1.5a_4-100

a_4=1.5a_3-100

This means that:

a_5=1.5(1.5a_3-100)-100\\\\a_5=(1.5)^2a_3-100\times (1.5)-100

Similarly,

a_3=1.5a_2-100

so,

a_5=(1.5)^2\times (1.5a_2-100)-100\times (1.5)-100\\\\a_5=(1.5)^3a_2-(1.5)^2\times 100-(1.5)\times 100-100

and so, putting a_2 in terms of a_1 we get:

a_5=(1.5)^4a_1-(1.5)^3\times 100-(1.5)^2\times 100-(1.5)\times 100-100

Now on putting the value of a_5 we find the value of a_1

2225-(1.5)^4a_1-337.5-225-150-100\\\\2225=5.0625a_1-812.5\\\\2225+812.5=5.0625a_1\\\\3037.5=5.0625a_1\\\\a_1=\dfrac{3037.5}{5.0625}\\\\a_1=600

Hence, the number of daylilies in the first year were:

600

4 0
2 years ago
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