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Dafna11 [192]
2 years ago
15

The sum of two consecutive even integers is 122. What are the two numbers?

Mathematics
2 answers:
irakobra [83]2 years ago
7 0

Answer:

  1. Let the first number = x
  2. Therefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number)
  3. Now, According to question
  4. x + x + 2 = 122
  5. 2x + 2 = 122
  6. 2x = 122-2
  7. 2x = 120
  8. x = 120/2
  9. x = 60
  10. Now, first no. = x = 60
  11. Therefore, second no. = x + 2 = 60 + 2 = 62
  12. Equation 60 + 62 = 122

Step-by-step explanation:

If you like my answer than please mark me brainliest

leonid [27]2 years ago
3 0

Answer:

The numbers are : 60 , 62

Step-by-step explanation:

Let the two consecutive even numbers be 2x , 2x + 2

2x + 2x + 2 = 122

Combine like terms

4x + 2 = 122

Subtract 2 from both sides

4x = 122 - 2

4x = 120

x = 120/4

x = 30

2x = 2*30 = 60

2x + 2 = 2*30 + 2 = 60 + 2 = 62

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nikdorinn [45]

Answer:

The answer us B y= -8/7x -18/7

5 0
3 years ago
A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially,
kompoz [17]

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

4 0
3 years ago
1..) 2x +15 = 35 
Masja [62]

Answer:

1) x=10

2) x=3

Step-by-step explanation:

1)

2x+15=35

Subtract 15 from both sides

2x=20

Divide both sides by 2

x=10

2(10)+15=35

20+15=35

35=35

this shows that 10 is the right answer

2)

7x-3=18

Add 3 to both sides

7x=21

Divide both sides by 7

x=3

7(3)-3=18

21-3=18

18=18

this shows that 3 is the right answer

Hope this helps

3 0
3 years ago
Deon drove 16 miles which is one fourth of the way home what’s the total length of the drive
svetlana [45]
64 miles

If 16 is 1/4 of the total distance, then x (the total distance) will be 4/4. To get 1/4 to equal 4/4, you multiply it by 4. Therefore you can multiply 16 by 4 to get 64 as the answer.
6 0
2 years ago
Read 2 more answers
Select correct answer
Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

p=0, p=6p

7 0
3 years ago
Read 2 more answers
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