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eimsori [14]
3 years ago
10

Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $5 for children. One hundred fifty-nine adult

s and children attended, and $1,383 was made in ticket sales. How many children and how many adults went to the film premiere?
A.
16 children; 143 adults
B.
6 children; 153 adults
C.
9 children; 150 adults
D.
12 children; 147 adults
Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer:

The answer is D. 12 children, 147 adults.

Step-by-step explanation:

I solved all of the possibilities and only D was the answer.

A. 16 children, 143 adults = $1,367

B. 6 children, 153 adults = $1,407

C. 9 children, 150 adults = $1,395

D. 12 children, 147 adults = $1,383

So, the answer is D.

Hope this helps! :)

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The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth
Art [367]

Answer:

a) N_0=250\; k=0.15

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

b) After 2 days means t=48. So, we just replace and operate:

N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}

c) N(t_1)=4000; \;t_1=?

N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h

d) t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)

N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h

6 0
3 years ago
Please answer this correctly without making mistakes
morpeh [17]

Answer:

2nd one is corect

60% is 93.49$ but u are getting 100$ discount so 2nd is ans

4 0
3 years ago
Solve the system of equations graphicallySolution=?
BigorU [14]

The given system is

\begin{cases}y=\frac{5}{2}x-8 \\ y=-\frac{1}{2}x-2\end{cases}

Given that y = y, let's combine the equations

\frac{5}{2}x-8=-\frac{1}{2}x-2

Let's solve for x

\begin{gathered} \frac{5}{2}x+\frac{1}{2}x=8-2 \\ \frac{6}{2}x=6 \\ 3x=6 \\ x=\frac{6}{3} \\ x=2 \end{gathered}

Then, we find y

y=-\frac{1}{2}x-2=-\frac{1}{2}\cdot2-2=-1-2=-3

The solution is (2, -3).

The image below shows the solution graphically.

3 0
1 year ago
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