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
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.
Division by zero is undefined in mathematics. It is not possible to divide any number by zero. So, 17÷0 is undefined.
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 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.
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
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%.
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
The formula we employ to determine the answer is shown below: 200÷5=40
11 x 36 + 6 x 12 + 4 = 472
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.
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%.
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.
2,500 out of 55,000 equals to 2500/5500 = 25/550 = 1/22
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.
Let 𝑥 be the integer. Then:
2𝑥–5=83
Add 5 both sides: 2𝑥=88
Divide both sides by2:𝑥=44
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
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
To find the difference, we need to subtract the sum of the numbers:
−83−17+87=−100+87=−13
So, the difference is
−13.
1000 is the smallest four-digit number, and 9999 is the largest four-digit number. 8999 is the difference.