Answer:
x + y = 170
Step-by-step explanation:
360 = 110 + x + y + 80
x + y = 360 - 110 - 80
x + y = 170
To understand this, take scissors and look at the angles how they change when you change the angle... there are always just TWO different angles and each of the angle has its exact counterpart on the opposite side. Now look again at this illustration and you will get it!
Another information, sum of all the angles inside of any rectangle is always 360 degrees!
We need to calculate a total TIME.
Let the time required to cover distance d at 20 mph be x. d is the ONE WAY distance, not the total distance traveled (which would be 2d).
Remember the formula d=rt: the distance traveled equals the rate times the time. Here, d = rx, and thus x = d/r = d/(20mph)
Let's begin by recognizing that d(going) = d(returning)
Then (20 mph)x = 6 + (16 mph)x
(20 mph)x - (16 mph)x = 6 miles
Then: (4 mph)x = 6 miles
or: x = 1.5 hours
It takes the bird 1.5 hours at 20 mph to cover distance d, which is 30 miles.
Thus, the total time spent flying is 1.5 hours (going) and [1.5 hours + (6 miles)/(16 mph) returning:
1.5 hours + 1.5 hours + 0.375 hours = 3.375 hours total.
The total distance covered is 2d, or 2(30 miles) = 60 miles.
It took me a while and a lot of experimentation to arrive at these results. Please, if my arguments here are not clear, ask questions.
Answer:
Step 4
Step-by-step explanation:
Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -9.5
Between which two steps did Paula use the division property of equality?
Step 1: -4(x + 8) - 2x = 25
Opening the parenthesis
Step 2: -4x – 32 - 2x = 25
Combining x-terms
Step 3: -6x – 32 = 25
Adding 32 to both sides
Step 4: -6x = 57
Dividing both sides by -6
Step 5: x = -9.5
The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.
The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5
This means from the equation, x is equal to -9.5 and -9.5 is equal to x
The correct answer is step 4
Answer:
The percentage change is 7.67%
Step-by-step explanation:
Cost of stock in a restaurant when bought= $300
Cost of stock in a restaurant now = $323
Change in cost = 323 -300 = $23
The percentage change is = (change in cost/Cost of stock in a restaurant when bought) * 100
The percentage change is = (23/300) * 100 = 7.67 %
The percentage change is 7.67%
Hmmm... the partial products?
