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lesantik [10]
3 years ago
7

Morgan is arranging a bowling party for his friends. The party room at the bowling alley is $35. The bowling alley offers a part

y package that includes unlimited games and shoe rental for $10 per person. Morgan thinks it will cost an additional $3 per person for snacks. What is the maximum number of people that Morgan can invite to stay under his budget of $175?
Mathematics
2 answers:
vlada-n [284]3 years ago
7 0
Your inequality is (x being number of people):
175≥35+10x+3x

First, combine like terms so your new inequality is:
175≥35+13x
Then subtract 35 from both sides which makes it:
140≥13x
then divide 140 by 13 making it:
<span>10.769≥x
</span>But because you can't have .769 of a person the actual answer is 10
then you have to subtract 1 because he isn't including himself and there is the answer!:
9≥x
DochEvi [55]3 years ago
7 0

The answer to this question is, 10

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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

3 0
3 years ago
Please help asap! i don’t know what the answer is!
miss Akunina [59]

Answer:

I think its B

Step-by-step explanation:

I think it is B because 4*2=8 if I am wrong please tell me and i will double check and make sure i give you the right answer

5 0
3 years ago
Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​
Svetach [21]

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

6 0
2 years ago
A triangle has side lengths of 6, 8, and 9. what type of triangle is it?
miv72 [106K]
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6 0
3 years ago
Write the equation of the line in slope-intercept form
NikAS [45]

Answer: Y = 7/8x+ 2.25

Step-by-step explanation:

  • you would subtract both y  7
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8 0
3 years ago
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