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stepladder [879]
3 years ago
7

Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the nu

mbers.
Mathematics
1 answer:
ehidna [41]3 years ago
4 0
Let
x-------------> first odd number 
x+2----------> second consecutive odd number

we know that
<span>seven times the smaller, subtracted from nine times the bigger, gives 144

then
9*(x+2)-7*x=144-----------> 9x+18-7x=144---------> 2x=126-----> x=63

the numbers are
63 and 65</span>
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Solve for x.<br> I was sure the answer was 2?<br> Please show me the breakdown. THX
Murljashka [212]

Answer:

x = 8 and y = 10

Step-by-step explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

6y = 60

y = 10

7 0
3 years ago
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andrezito [222]

Answer:

\frac{(a+b)}{a^{2} -b^{2}  } + \frac{(a-b)}{a^{2} -b^{2}  } = \frac{2a}{a^{2} -b^{2}  }

Step-by-step explanation:

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2 years ago
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Parallel to y - 2x = 4 and passes through (0,5)
wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

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A parallel line shall have the same slope so

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4 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)

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6 0
3 years ago
Need help plz!!!!? Help would be appreciated
kolbaska11 [484]

Answer:

118•

Step-by-step explanation:

The interior side lengths are:

90

180-34

180-x

180-x

The sum of these are 360º

90 + 180-34 + 180-x + 180-x = 360

-2x = -236

x = 118º

3 0
3 years ago
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