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3 years ago

What is the next number? 2 3 5 7 11 13 17 A.18 B.19 C.20 D.21

Mathematics

1 answer:

morpeh [17]3 years ago

6 0

I think the answer is A.18 because the pattern is +1 +2 +2 +4 +3 +3. And it ends at 17 so 1+17=18.

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The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom

34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer. That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!

Answer C.

7 0

4 years ago

the chumas family is driving from north carolina to california on vacation. They drive 330 in 5.5 hours How many hours would it

spin [16.1K]

An easy way is to work out their speed. Speed = distance/time.

First part: Speed = 330/5.5 = 60 mph

Finally, the second part: time = distance / speed

So time = 720/60 = 12 hours

7 0

3 years ago

Read 2 more answers

26. A book costs sh. (x - 300) and a pen costs sh (x + 100). If Ndagire pad sh. 3300 for 3 books and 2 pens, how much did she pa

saul85 [17]

Answer:

500 and 900

Step-by-step explanation:

3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis

3x - 900 + 2x + 200 = 3300

5x - 700 = 3300 ( add 700 to both sides )

5x = 4000 ( divide both sides by 5 )

x = 800

Then

cost of book = x - 300 = 800 - 300 = 500

cost of pen = x + 100 = 800 + 100 = 900

7 0

2 years ago

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

What is the equation of the line perpendicular to y=3x+2 that passes through the point 0,2

alex41 [277]

Answer:

“My head was pounding. It was like my insides had swollen so much they were pushing on my skull.”

Step-by-step explanation:

6 0

3 years ago