Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n
1 answer:
Answer:
Δn=3
Step-by-step explanation:
Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.
We have the interval [-5,7]. The distance between the endpoints of the interval is
.
Now, we divide d by 4 and obtain
Then, Δn=3.
Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.
So,
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We are given these three people age below:
- Jim's age
- Carla's age
- Tomy's age
We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
- Jim's age = x
Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
- Carla's age = x+5
Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
- Tomy's age = 6+(x+5)
The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
Combine like terms and solve for x.
Then we substitute the value of x in ages to find these three people ages.
- Jim's age = x = 5
- Carla's age = x+5 = 5+5 = 10
- Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.
Answer
- Jim's age = 5
- Carla's age = 10
- Tomy's age = 16
Answer:
He sold 32 apples, 40 peaches and 60 apples.
Step-by-step explanation:
We are given that
4 apples are sold every 5 peaches and
3 tomatoes are sold every 2 peaches.
i.e. the ratio is apples: peaches = 4 : 5 ...... (1)
and the ratio peaches: tomatoes = 2 : 3 ...... (2)
Peaches are the common link here in both the ratio terms.
Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.
Multiply (1) by 2 and (2) by 5:
The ratio becomes;
apples:peaches = 8:10
peaches: tomatoes = 10:15
In other words, the ratio becomes:
apples:peaches:tomatoes = 8:10:15
Let the number of apples =
Let the number of peaches =
Let the number of tomatoes =
We are given that total fruits are = 132
So, number of apples sold =
Number of peaches sold =
Number of tomatoes sold =