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zhannawk [14.2K]
3 years ago
15

The sum of 2 consecutive odd integers is 52. If x represents the smaller integer, then the larger integer is

Mathematics
2 answers:
julsineya [31]3 years ago
5 0

Answer:

27

Step-by-step explanation:

2x+2=52

2x=50

x=25

x+2=27

Alex73 [517]3 years ago
4 0
In order to find the larger integer, we simply add 2 to x.
This may sound confusing, but consider that 1 is an odd number. Add 2, and you get 3. Add 2, and you get 5, and so on. By adding 2 to an odd number, you'll get another odd number (this works for even numbers too!).

The equation should be
x + (x + 2) = 52
2x + 2 = 52
2x = 50
x = 25
25+2=27

The larger integer is 27
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True or false 8.25 is greater than 8.25 repeating
AURORKA [14]

Answer:

ture

Step-by-step explanation:

7 0
1 year ago
2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

⇛ a = 2

Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

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

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

5 0
2 years ago
Fill in the box with the appropriate measure.<br> quick please I have only a few min left
Art [367]

Step-by-step explanation:

first box on the left

r=4

d=8

circumference= 2π*4= 8π

area = π*4*4= 16π

Second box on the left

d=6

r= 3

circumference= 2π*3= 6π

area =π*3*3= 9π

third box on the left

A=36π

A=36πarea= π*r*r

A=36πarea= π*r*rr= 6

A=36πarea= π*r*rr= 6d=12

A=36πarea= π*r*rr= 6d=12circumference= 2π*6= 12 π

the last box

C=18π

C=18πC= 2π*r

C=18πC= 2π*rr= 9

C=18πC= 2π*rr= 9d=18

C=18πC= 2π*rr= 9d=18area= π*9*9= 81π

8 0
2 years ago
Help please! What is the answer ?
kupik [55]

Answer:

x < -3 or x > 3

second answer choice

Step-by-step explanation:

 The symbol "∨" between p and q represents a disjunction and can be replaced with the word "or" to turn p ∨ q into p or q.

Plug in x < -3 in for p and x > 3 for q, and now you have:

x < -3 or x > 3

which is the same as the second answer choice.

So, the answer is x < -3 or x > 3, or the second answer choice.

I hope you find my answer helpful.

7 0
3 years ago
Plz help I need it badly!!!!!
Annette [7]
She would have saved 30 dollars. 

8 0
3 years ago
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