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Natasha_Volkova [10]
3 years ago
11

Five friends split the cost of parking at an amusement park. Each of them also buys a$30 ticket.write an algebraic expression th

at represents the amount of money each friend spends.identify any variables
Mathematics
2 answers:
LenKa [72]3 years ago
7 0

Answer: (p/5) + 30

Step-by-step explanation:

We are dividing the parking amount they had to pay by the 5 friends since they are splitting the amount they pay. Then we are adding 30 because that is how much each friend is paying.

Pavel [41]3 years ago
5 0

Answer:

x/5 +30

Step-by-step explanation:

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

3 0
3 years ago
WORTH 100 POINTS need the answers asap
Lena [83]

<u>Answer:</u>

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

<u>Step-by-step explanation:</u>

We have a parabola and a small line shown in the graph.

The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.

Therefore, this function can be modeled by:

f(x) = x^2 , x < 2

f(x) = 5, 2\leq x < 4

4 0
3 years ago
Read 2 more answers
How many integers between 10000 and 99999, inclusive, are divisible by 3 or<br> 5 or 7?
Yuki888 [10]

Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

Step-by-step explanation:

Since we have given that

Integers between 10000 and 99999 = 99999-10000+1=90000

n( divisible by 3) = \dfrac{90000}{3}=30000

n( divisible by 5) = \dfrac{90000}{5}=18000

n( divisible by 7) = \dfrac{90000}{7}=12857.14

n( divisible by 3 and 5) = n(3∩5)=\dfrac{90000}{15}=6000

n( divisible by 5 and 7) = n(5∩7) = \dfrac{90000}{35}=2571.42

n( divisible by 3 and 7) = n(3∩7) = \dfrac{90000}{21}=4285.71

n( divisible by 3,5 and 7) = n(3∩5∩7) = \dfrac{90000}{105}=857.14

As we know the formula,

n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)

=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15

Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

5 0
3 years ago
A rectangle is 30 cm long and 10 cm wide. What's the ratio of the rectangle's length to its width?
Veseljchak [2.6K]

Answer:

3: 1

Step-by-step explanation:

hope this helps

6 0
2 years ago
Read 2 more answers
Two angles of a triangle measure 22 and 53 what is the measure of the third angle
Musya8 [376]
The third angle is 105.
How do I know this?
Add 22 and 53:
22 + 53 = 75
All interior angles on a triangle should add up to 180.
Subtract 75 from 180:
180 - 75 = 105
105 is our answer.
Hope this helps! =)
3 0
3 years ago
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