The sum of two consecutive integers is 123 what’s is the smallest of the two integers

Answers

Answer 1
Answer:

The smallest of the two integers is 61

Represent the consecutive numbers with x and y, where x is the smallest of the two numbers.

So, we have the following system of equations

x + y =123

y = x + 1

Substitute x + 1 for x in x + y =123

x + x + 1 =123

Subtract 1 from both sides

x + x =122

Evaluate the like terms

2x = 122

Divide both sides by 2

x = 61

Hence, the smallest of the two integers is 61

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Answer 2
Answer:

The smallest of two integers is 61

Step-by-step explanation:

Let x be the smaller integer

Then the next integer will be:

x+1

According to given statement that the sum of both is 123

x+ (x+1) = 123\nx+x+1=123\n2x+1=123

Subtracting 1 from both sides

2x+1-1=123-1\n2x=122

Dividing both sides by 2

(2x)/(2)=(122)/(2)\nx=61

The smallest of two integers is 61

Keywords: Linear equations, Variables

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A floor of a room is in the shape of square. It is to be covered with rectangular tiles that each have an area of 192 square inches.If the length of the floor is 14 feet, how many tiles are needed to cover the floor?

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If the length of the floor is 14 feet, convert it into inches to match the units of the tile. 14 feet is 168. So the floor is 168 inches long. Because we know it's a square and all sides are the same length, find the area of the floor by doing 168x168. This equals 28224 square inches. Then, divide by the area of one tile. 28224/192=147. So you need 147 Tiles.

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Answer:

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Step-by-step explanation:

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Answers

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Kendra is thinking of an integer greater than -3 2/5 and less than -2.7. Which of the following numbers could Kendra be thinking of?A) -2 B)-3
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Answers

The integers are -2 and -3 respectively. The correct options are (A) and (B) respectively.

What are integers?

Integers can be defined as the set of counting numbers and their negative values along with zero. An integer can be written in the form of a fraction by writing the denominator as 1.

The given numbers are -3(²/₅) and -2.7.

The equivalent form of -3(²/₅) is given as follows,

-3(²/₅)

= (-3 × 5 + 2)/5

= -13/5

= -2.6

Now, the integer greater than -2.6 is -2 and less than  -2.7 is -3.

Hence, the required integers greater than -2.6 and less than -2.7 are -2 and -3 respectively.

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What amount of money accumulate to $680.57 in 83 days at 4.6%?​

Answers

Answer:

P=\$65,062.35

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=(83/365)\ years\n P=?\n I=\$680.57\nr=0.046

substitute in the formula above

680.57=P(83/365)(0.046)

680.57*365=P(83)(0.046)

P=680.57*365/[(83)(0.046)]

P=\$65,062.35