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gregori [183]
2 years ago
3

Three consecutive integers have a sum of 297 . Find the integers.

Mathematics
2 answers:
Murljashka [212]2 years ago
5 0
We will put X to the first integer. Since they're consecutive (meaning that the 2nd number will be X+1 and the third number will be X+2 and they should all add up to 297) Here is how you can write the equation.<span>
</span>X+X+1+X+2 = 297<span>
</span>To solve for X, you have to add the integers together and the X variables together. Then, you must subtract 3 from each side and then dividing by 3 on each side.<span>
X + X + 1 + X + 2 = 297
3X + 3 = 297
</span>3X + 3 - 3 = 297 - 3<span>
3X = 294
</span>3X/3 = 294/3<span>
X = 98
</span>Which means that the first number is 98, the second number is 98+1 and third number is 98+2. Which give us three consecutive integers that add up to 297.<span>
</span>98+99+100= 297<span>
</span>
horrorfan [7]2 years ago
4 0

297 /3 = 99

99-1 = 98

99 +1 = 100

98 + 99 + 100 = 297

 the numbers are 98, 99 , 100

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2 years ago
Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
Hoochie [10]

To solve this problem, we can set up an equation, letting the unknown value of last month's supply sales be represented by the variable x.

First, we must convert 78% to its decimal equivalent, by dividing 78/100. This is because percentages are parts of a whole 100 percent.

78/100 = 0.78

Now, we are ready to set up our equation, using our knowledge that the word "of" refers to multiplication in mathematics.

3,285 = 0.78x

To solve our equation, we must divide both sides of the equation by 0.78 to get the variable x alone on the right side of the equation.

x = 4211.53846154

This means that last month's supply sales were about $4,211.54 (we round the last digit up because 8 is greater than 5).

Hope this helps!


8 0
2 years ago
Cindy’s parking garage charges $3.50 for weekday parking, and weekends are half price. If Cindy parked in the garage 20 times pe
Pachacha [2.7K]

Answer: \$64.75

Step-by-step explanation:

  You know that for weekdays parking the price is $3.50 and weekends are half price.  Then for weekends, the price is the following:

\frac{\$3.50}{2}=\$1.75

You know that Cindy parked in the garage 20 times per month, and three of these days were weekend days. This means that she parked 17 times in week days and 3 times in weekends days.

 Therefore, the total amount of money she would spend on parking per month can be calculated with:

Total\ per\ month=17(\$3.50)+3(\$1.75)\\\\Total\ per\ month=\$59.5+\$5.25\\\\Total\ per\ month=\$64.75

6 0
2 years ago
In the parallelogram AXYZ, line segment AT = 4y – 2, line segment TY = 6x -12, line segment TX = 14, line segment ZT = 2x + 12.
Tpy6a [65]
In a parallelogram diagonals bisect each other,
=>AT=TX=>4y-2=14=>4y=14+2=>4y =16=>y=16/4=4
And ZT=TY=>2x+12=6x-12
=>12+12=6x-2x
=>24=4x
=>24/4=X
=>6=X
Hope this helps u...!!!

8 0
2 years ago
Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.
Lyrx [107]

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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