Answer:
31, 33, and 35
Step-by-step explanation:
31, 33, and 35 are consecutive odd integers and they add up to 99. So there isn't any other three consecutive odd intergers add up to greater than 99 and less than 100.
To find the greatest possible values of three consecutive odd integers whose sum is less than 100, we can set up an equation and solve it for the variable representing the largest odd integer.
To find the greatest possible values of three consecutive odd integers whose sum is less than 100, we can start by considering the largest odd integer that is less than 100, which is 99. Let's represent this as x.
The next two consecutive odd integers would be (x+2) and (x+4). The sum of these three integers can now be expressed as:
x + (x+2) + (x+4) = 3x + 6
Since the sum must be less than 100, we can set up the following inequality:
3x + 6 < 100
Solving this inequality, we get:
3x < 94
x < 31.333
Therefore, the greatest possible value for x would be 31. This means the three consecutive odd integers would be 31, 33, and 35.
#SPJ2
Answer:
60
Step-by-step explanation:
b and a are complimentary angles they must add up to 90
90-30=60
-2x+6y=3
16. Tell whether the lines for each pair of equations are parallel perpendicular or neither
Y=-1/5x+6
-2x+10y= 5
Answer:
Step-by-step explanation:
15. The given lines are
Y=-3x+7 & -2x+6y=3 or, 6y = 3 + 2x or, .
The slope of the first line is -3 and the slope of the second line is [Comparing with the standard form of equation of straight line y = mx + c, where m is the slope of the straight line].
Two straight lines will said to be perpendicular to each other, if the product of its slopes will be equal to -1.
Since, , the equations are perpendicular with respect to each other.
16. The lines are and -2x + 10y = 5 or, 10y = 5 + 2x or, .
As per the question number 15, it is clear that these equations are not perpendicular.
Here, the slope of the first one is and the slope of the second one is .
The values are same with different sign. Hence, these equations are not parallel too.