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inn [45]
3 years ago
12

The sum of two confescutive integers is at least 46. What is the least possibly pair of integers?

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.

1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46

So we have two possibilities: either #2 or #4. Find least possible pair of integers.

x= first integer
x+1= second integer

x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5

Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.

Hope this helps! :)
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vampirchik [111]

Answer:

Ordered pair, (1, 5/2) does not satisfy the given equation  3x-3y=-3

Step-by-step explanation:

3x-3y=-3

Here (x, y) = (1, \frac{5}{2} )

3(1)-3(\frac{5}{2} )=-3

3- (\frac{15}{2} )=-3\\6-15=-6\\-9\neq -6

7 0
3 years ago
Please help. Thank you
madam [21]

Answer:

c

Step-by-step explanation:

Pythagoras theroem

\sqrt{(( {32}^{2})  + {12}^{2} ) }

= 4√73

8 0
2 years ago
(a)Find the greatest common factor (GCF) of 72 and 40.<br> (b)Use the GCF to factor 72 - 40.
DiKsa [7]

Answer:

(72-40) = 8 x (9-5)

Step-by-step explanation:

GCF = 8

(72-40) = 8 x (9-5)

4 0
2 years ago
Read 2 more answers
Given: AD = BC and AD || BC
bearhunter [10]

Answer:

ABCD is a parallelogram.

Step-by-step explanation:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA = 360^{0}  (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

4 0
3 years ago
three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shows cost 44 a pair what is the total coast o
MatroZZZ [7]

Answer:

240.

Step-by-step explanation:

Here is the correct question: Three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shoes cost 44 a pair. what is the total cost of the new outfits for all of the sisters​?

Given: Cost of each shirt is 11

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           Cost of each pair of shoes cost is 44.

Now, finding total cost of shirt, skirt coat and shoes as cost of one new outfit.

= 11+25+44 = 80

∴ Total cost of one new outfit is 80.

Next, finding cost of new outfit for all, three sisters.

Cost of new outfit for three sister = \textrm { cost of one outfit}\times \textrm{ number of sisters}

∴ Cost of new outfit for three sister = 80\times 3= 240

240 is the total cost of new outfit for all the sisters.

         

3 0
3 years ago
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