Answer:
7 19/42
Step 1:
Convert the mixed fractions into improper fraction (Denominator will be same)
2x7+2= 16/7
5x6+1=31/6
Step 2:
LCM of 6 and 7 are 42
Step 3:
217+96/42= 313/42
Step 4:
Covert to mixed fraction so the answer is 7 19/42
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑
means to sum all elements in the set f as the square of the elements f = 
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
10) + (30×16) = 875
d. ∑
means to sum all elements as the product of the square of m and f = 
You can either do;
1. 90(2) = 100(2)
180 = 200
In 3 minutes, they can write 200 words. So now we can divide by 3.
3/3 = 1 minute
200/3 ≈ 66.666
or
2. 90/3 = 30 secs
100/3 ≈ 33.333
30(2) = 1 minute
33.333(2) ≈ 66.666
Either way, the admin assistant can write 67 words per minute. (Rounded to the nearest whole)
Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
2.7 is 27/10 and 3.6 is 18/5
