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Elanso [62]
3 years ago
5

Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process. Jeff solved a similar

equation below. Is Jeff's solution correct? Explain why or why not. 3x − 2 = 5(x + 2) 3x − 2 = 5x + 10 8x = 8 x = 1
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
You have to distribute the 7 to x and 2 so :
7x+14=2x-1
Add one to both sides (inverse operations)
7x+14=2x-1
+1 +1
7x+15=2x
Cross Cancel by subtracting 7x from both sides
7x+15=2x
-7x -7x
15=-5x
Divide by -5
15/-5= -5/-5
X= -3

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A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y
siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32


Given that 100 beetles are released into a field.

So that means initial number of beetles P=100


Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

A=P(1+r)^n where A is number of beetles at any year n.

Plug the given values into above formula we get:

A=100(1+0.32)^n

A=100(1.32)^n


now plug n=10 years

A=100(1.32)^{10}=100(16.0597696605)=1605.97696605

Hence answer is approx 1606 beetles will be there after 20 years.


Now we have to find about how many beetles will there be in 20 years.

To find that we plug n=20 years

A=100(1.32)^{20}=100(257.916201549)=25791.6201549

Hence answer is approx 25791 beetles will be there after 20 years.



Now we have to find time for 100000 beetles so plug A=100000

A=100(1.32)^n

100000=100(1.32)^n

1000=(1.32)^n

log(1000)=n*log(1.32)

\frac{\log\left(10000\right)}{\log\left(1.32\right)}=n

33.174666862=n

Hence answer is approx 33 years.

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3 years ago
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Answer:

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twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?
stira [4]
x,x+1-\ two \ consecutive\ numbers\\\\
2x+x+1\geq25\\\\
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3x\geq24\ \ \ | divide\ by\ 3\\\\
x\geq8\\\\
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3 years ago
PLEASE HELP...........
Vlad [161]

Answer: Just do 2355

Step-by-step explanation: its that

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Y = 4x - 7 <br> What is the slope?
makkiz [27]

Answer:

(4x the answer ) can you help with my question

Step-by-step explanation:

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