7 divided by -1 equals -7
Answer:
z=-8
Step-by-step explanation:
Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
Correct Question:
John works as a tutor for $12 an hour and as a waiter for $8 an hour. This month, he worked a combined total of 86 hours at his two jobs.
Let be the number of hours John worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
Total hours = 86
Let t is the hours he spent on tutoring
then (86-t) is hours spent on waiting
Let Y is the total amount in dollars which is required .
Now;
y = (tutoring hours x 12$) + (waiting hours x 8$)
Y = 12t + 8(86-t)
The unit rate of the parachutist change in height is 11 feet per second.
• In Mathematics, Unitary method is a technique for solving a question by first finding the value of a single unit and then finding the required value by multiplying the number by value of single unit .
• We use unitary method to find the ratio of one thing with respect to other thing.
• There are two types of unitary method one is Direct Variation and the other is Inverse variation.
We have the rate of descend as 44 feet in 4 sec.
So, in 1 second it will be = 44 / 4 = 11 feet.
Which is the unit rate.
Therefore, the unit rate of descend for the parachutist is 11 feet per second.
Learn more about unit rate here:
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