Explanation:
Let's start by translating the given sentence into an equation:
"5 less than twice a positive integer" can be written as 2x - 5, where x is the positive integer.
"5 less than twice a positive integer is 83" can be written as:
2x - 5 = 83
Now we can solve for x:
2x = 83 + 5
2x = 88
x = 44
Therefore, the positive integer is 44.
Explanation:
2,500 out of 55,000 equals to 2500⁄55000 = 25⁄550 = 1⁄22
Explanation:
4 ÷ 1⁄6 = 24
Explanation:
The percent of girls playing tennis is:
40%×25%=0.40×0.25=0.10=10%
Explanation:
To solve the problem, we need to use the formula for calculating successive percentage increases:
Total percentage increase = a + b + (ab/100)
where a and b are the percentage increases in the first and second years, respectively.
In this case, a = 15% and b = 20%. Substituting these values into the formula, we get:
Total percentage increase = 15 + 20 + (15*20/100) = 35 + 3 = 38%
Therefore, the population of the town increased by 38% after two years.
Explanation:
To convert yards, feet, and inches to inches, we need to first convert everything to inches. We know that:
1 yard = 3 feet
1 foot = 12 inches
Using these conversions, we can convert the given measurement as follows:
11 yards = 11 × 3 feet = 33 feet
6 feet = 6 × 12 inches = 72 inches
4 inches = 4 inches
Adding these values together, we get:
11 yards 6 feet and 4 inches = 33 feet + 72 inches + 4 inches
Simplifying, we get:
11 yards 6 feet and 4 inches = 33 × 12 inches + 72 inches + 4 inches
= 396 inches + 72 inches + 4 inches
= 472 inches
Therefore, 11 yards 6 feet and 4 inches is equal to 472 inches.
