𝑎𝑣𝑒𝑟𝑎𝑔𝑒=𝑠𝑢𝑚𝑜𝑓𝑡𝑒𝑟𝑚𝑠/𝑛𝑢𝑚𝑏𝑒𝑟𝑜𝑓𝑡𝑒𝑟𝑚𝑠
1860=1080 kg is the total weight of all the girls.
The total weight of all of the boys is 3262=1984 kg.
The total weight of all pupils is 1080+1984=3064 kg, with an average of 306450=61.28 kg.
Simplify the expression inside the second set of parentheses:
8695+(−3)−(6290−4233)=8695+(−3)−2057
Perform the subtraction inside the parentheses:
8695+(−3)−2057=8695+(−3)−2057=8695+(−2060)
Finally, perform the addition and subtraction:
8695+(−2060)=6635
Distribute the 9 to both terms inside the first parentheses:
81−90r+(−8−2r)
Combine like terms:
81−90r−8−2r
Now, combine the constants and the terms with:
73−92r
Divide both sides by 3 to get x by itself
3x/3 = 24/3
Simplifying:
x=8
To check the answer, substitute 8 for x,
3(8)=24
To find the difference, we need to subtract the sum of the numbers:
−83−17+87=−100+87=−13
So, the difference is
−13.
2,500 out of 55,000 equals to 2500/5500 = 25/550 = 1/22
The total of the supplement angles is 180 degrees. Let's call that angle x.
As a result of x+5x=180
6x=180, divide both sides by 6:x=30.
The probability of an event occurring ranges from 0 to 1, where 0 means the event is impossible, and 1 means the event is certain to happen. Since the probability is greater than 2/3, we know that it is more likely to happen than not. Therefore, the likelihood that it will rain on Saturday is greater than 2/3 or more than 66.67%.
Proportion of pupils who prefer enchiladas in the lunch line:
20 pupils/50 pupils = x pupils/ 520 pupils
Now, cross-multiply:
50x = 20×520
Solve for x:
x = 20×520 / 50
x= 208
First, solve the expression inside the parentheses:
3+(3−8)^2 −7
=3+(−5) ^2 −7
Next, calculate the square of -5:
=3+25−7
Now, perform the addition and subtraction:
=28−7
Finally, perform the subtraction to get the simplified result:
=21
1000 is the smallest four-digit number, and 9999 is the largest four-digit number. 8999 is the difference.
The formula we employ to determine the answer is shown below: 200÷5=40
Total charge for 26 hours with Attorney A:
250+25×150=250+3750= 4000
Total charge for 26 hours with Attorney B:
150+26×175=150+4550=4700
For 26 hours of work, Attorney A charges $4000, while Attorney B charges $4700.
In this case, Attorney A's total charge is lower, making Attorney A the better deal for 26 hours of work.
Division by zero is undefined in mathematics. It is not possible to divide any number by zero. So, 17÷0 is undefined.
11 x 36 + 6 x 12 + 4 = 472
Let 𝑥 be the integer. Then:
2𝑥–5=83
Add 5 both sides: 2𝑥=88
Divide both sides by2:𝑥=44
The symbol "≤" represents "less than or equal to," so the inequality x≤34 includes all values of x that are less than or equal to 34. Therefore, any number equal to or less than 34 satisfies this inequality.
Let 𝑥 be the smallest number. Then, these are the numbers:
𝑥,𝑥+1,𝑥+2,𝑥+3,𝑥+4
𝑎𝑣𝑒𝑟𝑎𝑔𝑒=𝑠𝑢𝑚𝑜𝑓𝑡𝑒𝑟𝑚𝑠𝑛𝑢𝑚𝑏𝑒𝑟𝑜𝑓𝑡𝑒𝑟𝑚𝑠⇒38=𝑥+(𝑥+1)+(𝑥+2)+(𝑥+3)+(𝑥+4)5⇒38=5𝑥+105⇒190=5𝑥+10⇒180=5𝑥⇒𝑥=36
The population has grown by 15% and 20%, respectively.
The population grows by 15%, bringing it to 115 percent of its initial size.
Multiply the figure by 120 percent for the second increase.
138 percent (1.15)(1.20)=1.38 percent
After two years, the population has expanded by 38%.
Divide -3 to each side.
-3x/-3<12/-3
Each side was divided by -3, hence the inequality symbol's direction must be changed. The answer is x > -4.
