Answer:
d>67
Step-by-step explanation:
Let's solve your inequality step-by-step.
−50−(−9d+7)>−d+10+9d
Step 1: Simplify both sides of the inequality.
9d−57>8d+10
Step 2: Subtract 8d from both sides.
9d−57−8d>8d+10−8d
d−57>10
Step 3: Add 57 to both sides.
d−57+57>10+57
d>67
Answer:
There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.
Step-by-step explanation:
Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.
The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is As a result, we have 165 ways to distribute the blackboards.
If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is . Thus, there are only 35 ways to distribute the blackboards in this case.
Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b
so we also need to convert ax+by=c into y=mx+b as shown below:
divide both sides by
Now compare it with y=mx+b, we get
So using values of a and b, we can find the slope
compare given equation -5x+2y=15 with ax+by=c, we get:
a=-5, b=2
Now plug both into above formula
Now matching these details with given choices we find that THIRD choice is the final answer.
Answer:
26
Step-by-step explanation:
the answer is 26
Answer:
The answer is 113
Step-by-step explanation:
6^2 + 7(3^2 + 8 - 6)
36 + 7(9 + 8 - 6)
36 + 7(11)
36 + 77
113