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seraphim [82]
3 years ago
11

Find three consecutive odd integers such that three times the sum of the first and second is 3 more than 3 times the third

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

3, 5, 7

Step-by-step explanation:

1st number: (2k+1)

2nd number: (2k+3)

3rd number: (2k+5), k∈Z

3*[(2k+1) + (2k+3)] = 3 + 3*(2k+5)

3*(4k+4)=3+6k+15

12k+12=18+6k

6k=6

k=1

1st number: (2k+1) = 3

2nd number: (2k+3)=5

3rd number: (2k+5)=7

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Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give yo
slava [35]

Answer:

1200

Step-by-step explanation:

i=prt is the interest equation however we must find the total because it says <em>After</em> 2 years

first lets do 1000*.1*2=200

1000+200=

1200

7 0
2 years ago
Negative one-sixth of a number is less than -9. write an inequality.​
sladkih [1.3K]

Answer:

-1/6 n < -9

Step-by-step explanation:

Negative one-sixth of a number

-1/6 n

is less than -9

-1/6 n < -9

3 0
2 years ago
A local grocery store received 6 5/6 crates of strawberries. the produce workers had to throw away 1 7/8 crates of strawberries
BigorU [14]

Answer:

D. 4 23/24

Step-by-step explanation:

1 7/8 = 1 21/24

6 5/6 = 6 20/24

6 - 1 = 5

20 - 21 = -1

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3 0
2 years ago
I don’t know how to make a rule:(
Yuri [45]

Answer:

*assuming you know the concept of proportionality*

since L is directly proportional to T, an increase in L will result in an increase in T

so the solution of the first part is increases

in part 2, y is inversely proportional to x

which means that an increase in y will result in a decrease in x and vice-versa

So the answer of the second part is decreases

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8 0
3 years ago
I need help
dangina [55]

Answer:

a)  x =3 and x=5

c)  x =-1 and x = \frac{-7}{3}

i)  x =0 and  x = \frac{-9}{2}

Step-by-step explanation:

a)

Given that the quadratic equation

    x² - 8x +15 =0

The factors of 15 = 5 × 3

   x² - 5x -3x +15 =0

  x(x -5) -3(x-5) =0

  (x-3)(x-5) =0

x =3 and x=5

c)

  3 x² + 10 x +7 =0

⇒   3x² + 3x + 7x +7 =0

⇒   3x (x +1) +7(x+1) =0

⇒  (x+1) ( 3 x +7) =0

⇒  x =-1 and x = \frac{-7}{3}

i)

     2 x ² + 9 x =0

⇒ x( 2 x + 9) =0

⇒ x =0 and 2 x = -9

⇒ x =0 and  x = \frac{-9}{2}

4 0
3 years ago
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