Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (
, 
) We can interpret the statement mathematically by means of the following expression:
Where 
, 
, 
.
This system is reduced to a single equation and solved afterwards:
Now we evaluate and to obtain the natural numbers:
262 and 263 are consecutive natural numbers whose sum is 525.
Answer: 6.86 ft per second
Step-by-step explanation:
Both the top and the bottom of the ladder will be moving at the same time.
Given that the base of the ladder is pulled away from the wall at a rate of 2 feet per second when its base is 7 feet from the wall. Then the time will be
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall
L^2 = 25^2 - 7^2
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
Answer:
we need more info on the question
Step-by-step explanation:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = \frac{3}{4}
4
3
cup
Peanuts = 1 cup
Chocolate chips = \frac{1}{2}
2
1
cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = \frac{3}{4}\times 10
4
3
×10 = \frac{30}{4}
4
30
= 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = \frac{1}{2}\times 10
2
1
×10 = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Answer:
0 i guess
Step-by-step explanation:
