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Marina86 [1]
2 years ago
7

Find two consecutive odd numbers such that the difference

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer:

15,17

Step-by-step explanation:

Let the two consecutive odd numbers be (2x + 1) and 2x + 3

 Twice the greater number : 2* (2x + 3) = 2*2x   + 2*3

                                                                 = 4x + 6

\sf \text{One third of smaller number=$\dfrac{1}{3}*(2x + 1)$}\\

                                            \sf = \dfrac{1}{3}*2x + \dfrac{1}{3}*1\\\\=\dfrac{2x}{3}+\dfrac{1}{3}

Difference = 29

\sf 4x + 6 -( \dfrac{2x}{3} + \dfrac{1}{3})=29\\\\ 4x + 6 -\dfrac{2x}{3}-\dfrac{1}{3}\\\\\text{\bf Multiply the entire equation by 3}\\\\3*4x + 3*6 - 3*\dfrac{2x}{3}-3*\dfrac{1}{3}=3*29\\\\ 12x  + 18 - 2x - 1 = 87

Combine the like terms.

12x - 2x  + 18 - 1 = 87

        10x  + 17     = 87

   Subtract 17 from both sides

                   10x   = 87 - 17

                    10x =  70

   Divide both sides by 10

                       x = 70/10

                       x = 7

2x +  1 = 2*7 + 1

            = 14 + 1

            = 15

2x + 3  = 2*7 + 3

           = 14 + 3

            = 17

  \sf \boxed{\text{\bf The consecutive odd numbers are 15,17}}

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Alecsey [184]
These are the answer that I got:

A. <span>That means: "The more it costs, the fewer people you can invite."

B. <span>Amount you can spend = M; You will have to come up with this number -   whatever you think is reasonable.
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C. (C = Cost per person, P = number of people you can invite )

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4 0
3 years ago
What steps should be taken to complete the conversion?
dusya [7]

To complete the conversion, the following will be gotten:

12880 m

<h3>How to convert distance?</h3>

Using conversion technique,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

we have to cancel out similar units in the numerator and denominator.

Therefore,

8 mi / 1 × 1.61 k / 1 mi × 1000m / 1k

8 / 1 × 1.61  / 1  × 1000m / 1 = 12.88 / 1 × 1000m

Hence,

12.88 / 1 × 1000m = 12880 m

learn more on conversion here: brainly.com/question/16887207

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7 0
2 years ago
Can someone please explain why this is the answer?
nekit [7.7K]

We can factor by grouping like so

3v^2 + 16v + 5

3v^2 + 15v + v + 5

3v(v + 5) + 1(v + 5)

(3v+1)(v+5)

---------

Check:

(3v+1)(v+5)

w(v+5) ... let w = 3v+1

vw + 5w

v(w) + 5(w)

v(3v+1) + 5(3v+1) .... plug in w = 3v+1

3v^2+v + 15v + 5

3v^2 + 16v + 5

We get the original expression again, which confirms the answer.

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3 years ago
An outdoor spigot at the school has a leak and is dripping water. A student counted eighty drops of water in five minutes and no
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Answer:

D. 108 liters

Step-by-step explanation:

Given that the leak is ;

5 drops = 5 minutes

?= 4 weeks

Find number of hours in 4 weeks

1 week=7days

4 weeks=?--------------cross multiply

4×7=28 days

1 day=24 hours

28 days=?--------------cross multiply

28×24=672 hours

Hour= 60 minutes

672 hours=?

672×60=40320 minutes

Finding the leakage in 4 weeks

80 drops= 5 minutes

?=40320 minutes------------cross multiplication

(40320×80)÷5 =645120 drops

Finding the liters of water wasted in 4 weeks

60 drops of water= 10 milliliters

645120 drops of water=?-------------cross multiply

(645120×10)÷60 =107520 milliliters

But you know

1 milliliter=0.001 liters

107520 milliliters=?-----------cross multiply

107520×0.001

=107.52 liters

=108 liters

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