Answer:
Inequality: 2x + 2 ≤ 5•2x - 50
Solution: x ∈ <6.5, ∞)
Step-by-step explanation:
2x - the smaller of consecutive even integers
2x+2 - the greater of consecutive even integers
5•2x - five times the smaller number
5•2x-50 - fifty less than five times the smaller number
"is at most" means is less or equal
2x + 2 ≤ 5•2x - 50
2x + 2 ≤ 10x - 50
-2 -2
2x ≤ 10x - 52
-10x -10x
-8x ≤ -52
÷(-8) ÷(-8)
x ≥ 6.5
<u>x ∈ <6.5, ∞)</u>
Answer:
Step-by-step explanation:
Given
Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:
Answer:
Percent error = 15.79%
Step-by-step explanation:
Given the following data;
Experimental value = 12cm
Actual value = 14.25cm
To find the percentage error;
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
Substituting into the equation, we have;
Percent error = 15.79%
Answer:
5
Step-by-step explanation:
Let :
x(1) be 2
y(1) be 5
x(2) be -2
y(2) be 2
We know that distance between any 2 points is equal to:-
So using the above formula ,
Answer:
The answer is d) 22.4
Step-by-step explanation:
I attached a file below if you want to see the process!