Answer:
Step-by-step explanation:
we know that
She rides for 11.2 kilometers at a speed of 7 kilometers per hour
Using proportion
Find how many hours does she ride
Answer: 35 additional teachers are needed
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Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
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Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
Answer:
d. Two complex solutions
Step-by-step explanation:
We have been given a trinomial 
and we are supposed to predict the type of solutions of our given trinomial.
We will use discriminant formula to solve for our given problem.
, where,
,
,
Conclusion from the result of Discriminant are:
Upon substituting our given values in above formula we will get,
Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.
Answer:
x = 1
Step-by-step explanation:
2x + 1 = -1
2x = -1 - 1
2x = -2
x = -2 ÷ -2
x = 1
