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svet-max [94.6K]
3 years ago
13

Given two consecutive integers whose sum is 45, find the smaller of the two integers.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

22 and 23

Step-by-step explanation:

let two consecutive number be

x and x+1

now,according to the question

x+x+1=45

or,2x=45-1

or,2x=44

or,x=44/2

:-x=22

Hence, the two consecutive numbers are

22 and 23

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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

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Where,

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To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

6 0
3 years ago
$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t
guajiro [1.7K]

9514 1404 393

Answer:

  • $9,000 at 15%
  • $4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

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$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

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What is the domain and range of the graph?
GREYUIT [131]

Answer:

Domain (0, ∞)

Range (-∞, ∞)

Step-by-step explanation:

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Domain (0, ∞)

The range is the output values

The input is from negative infinity to infinity

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