Answer:
There are 0.70km in 765 yards.
Step-by-step explanation:
This is a problem of conversion of units, that can be solved by multiple rule of three's.
The first step is converting 765 yards to feet. We have that each yard has 3 feet, so
1 yard- 3 feet
765 yards - x feet
x = 765*3
x = 2295
So, in 765 yards there are 2295 feet.
Now, we have to convert 2295 feet to miles. Each mile has 5280 feet, so:
1 miles - 5280 feet
x miles - 2295 feet
5280x = 2295
x = 0.435 miles
So, in 765 yards there are 2295 feet which is 0.435 miles
Now, the final step is converting from miles to kilometers. Each km has 0.621 miles, so:
1km - 0.621 miles
xkm - 0.435 miles
0.621x = 0.435
x = 0.70km
So, there are 0.70km in 765 yards.
The answer is D. j - 14 = 28
Basically, saying the answer aloud, you will be saying the jellybeans my mom added to the bag minus the 14 jellybeans I had previously is equal to my total of 28 jellybeans I have now.
Answer:
Sum of 100 terms of the sequence = 15050
Step-by-step explanation:
Given expression which represents a sequence is,
So the sequence will be,
2, 5, 8, 11, 14..........
So, the given sequence is an arithmetic sequence with,
First term of the sequence 'a' = 2
Common difference 'd' = 5 - 2 = 3
Sum of 'n' terms of an arithmetic sequence is given by,
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here, n = number of terms
a = first term
d = common difference
= ![\frac{100}{2}[2(2)+(100-1)(3)]](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B2%7D%5B2%282%29%2B%28100-1%29%283%29%5D)
= 50[4 + 297]
= 15050
Therefore, sum of 100 terms of the sequence = 15050
Answer:
(1 , 2)
Put the equation in the form "y=ax2+bx+c
Calculate the -b term, which is also the x coordinate of the vertex.
Plug in -b/2 into the equation for x and then solve for y.
