The sum of three consecutive even numbers is one hundred sixty - two.What is the smallest of the three numbers ?
Answers
Answer:
52
Step-by-step explanation:
Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...
x + (x+2) +(x+4) = 162
3x = 156 . . . . . . . . . . . .subtract 6
x = 156/3 = 52
The smallest of the three numbers is 52.
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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.
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Juan's age, x, is 4 times his age 15 years ago.
From 19801980 to 20002000, the annual profit of a company was determined by subtracting from \$625{,}000$625,000 the product of \$25{,}000$25,000 and the number of years either before or after 19901990. Which of the following equations below could be used to determine in which year, xx, the profit was \$550{,}000$550,000?a.550−25∣x−1990∣=625b.625 - 25 | x - 1990 | = 550625−25∣x−1990∣=550c.625 +25 | x - 1990 | = 550625+25∣x−1990∣=550d.625 +25 | x + 1990 | = 550625+25∣x+1990∣=550
I had ⅖ of my chips and gave my dad ⅔ are they equivalent?
Someone please help <33
Answers
Answer: Mode
For instance, the mode of the set {1,2,3,5,4,4,6,4,8,4,4,7,4} is 4 because it shows up the most compared to the other values. Making a frequency table can be helpful to determine the mode.
Final answer:
In statistics, the most recurring number in a data set is identified as the mode. It is calculated by identifying the frequency of each number in the data set. A data set may have one mode, no mode, or more than one mode.
Explanation:
The number that appears most often in a given set of data is called the mode. The mode is an important concept of statistics and helps in identifying the most frequent value in a data set. There can be more than one mode for a data set if they have the same frequency, which is the number of times a value appears in the data set. For example, in a data set of [2, 3, 3, 5, 5], both 3 and 5 are modes because they appeared twice each, which is more frequently than any other number in the data.
In some cases, the data set might have no mode when no number repeats or two modes, which will then be referred to as bimodal.
Learn more about Mode here:
#SPJ11
Answers
The third side of the triangle is greater than the difference of the lengths of the other two sides (h > 7x cm - 3x cm) and it is less than the sum of the lengths of the other two sides (h < 7x cm + 3x cm). Therefore:
h > 7x - 3x
h < 7x + 3x
This can be expressed as:
7x cm - 3x cm < h < 7x cm + 3x cm
⇒ 4x cm < h < 10x cm
Answers
4 oranges= $1.80, one orange cost $0.45
5 oranges= $2.25, one orange cost $0.45
If one orange cost $0.45, then ten cost $4.50 ($0.45*10)
If you were to buy ten oranges are $4.25, this would make each orange $0.425 ($0.43 rounded).
This means that if you were to buy ten oranges, it would be cheaper to buy ten for $4.25, instead of buying two lots of 5 for $2.25 each.
Hope this helps :)
Answer:
10 for $4.25 has a better value than 2 bunches of 5 for $2.25 each.
Step-by-step explanation:
3 oranges = $1.35
y × 3 = 1 × 1.35
3y = 1.35
3y ÷ 3 = 1.35 ÷ 3
y = $0.45
4 oranges = $1.80
y × 4 = 1 × 1.8
4y = 1.8
4y ÷ 4 = 1.8 ÷ 4
y = $0.45
5 oranges = $2.25
y × 5 = 1 × 2.25
5y = 2.25
5y ÷ 5 = 2.25 ÷ 5
y = $0.45
y × 1 = 0.45 × 10
y = $4.50
y × 10 = 1 × 4.25
10y = 4.25
10y ÷ 10 = 4.25 ÷ 10
y = 0.425
$0.425 ≈ $0.43
Answers
Disadvantages: Mishandling of account and exceeded expenses can cause a refund check and bad credit
Answers
Answer:
× B + A
Step-by-step explanation:
Given equations are x + y = 12 ---------(A)
and equation y - x = 6 -------------(B)
To eliminate the variable x we will multiply equation A by
and add it to equation B.
In other words, the expression that we will adopt to eliminate the variable x will be × B + A
the answer is 5/2*A+B
Answers
80 = 5h
h = 16 hr
1200 + 100d = 3230 – 190d
290d = 2030
d = 7 days
2500 + 150m = 3000 + 125m
25m = 500
m = 20 months