Complete question:
Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide
Answer:
2/3
Step-by-step explanation:
Given the number : 48 / 72
Obtain the greatest common factor of 48 and 72
- - - - 48 - - - - 72
- 2-- 24 - - - - 36
- 2 - 12 - - - - - 18
- 2 - 6 - - - - - - 9
- 3 - 2 - - - - - - 3
The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24
Hence, divide both the numerator and denominator by 24 ;
Numerator = 48/24 = 2
Denominator = 72 / 24 = 3
= 2/3
Answer:
In bold below.
Step-by-step explanation:
a) Arithmetic sequence with common difference 3 and first term = 2:
nth term = 2 + 3(n - 1)
= 3n -1.
b) Similar to above with common difference 2 and first term = 9.
nth term = 9 + 2(n - 1)
= 2n + 7.
Answer:
The distance in one sweep is 100 cm approximately
Step-by-step explanation:
Here, we want to calculate the distance the wiper covers in one sweep
Mathematically;
we have a structure like an arc of a circle. It is the length of this arc we want to calculate.
The formula for the length of an arc is;
theta/360 * 2 * pi * r
r is the radius which in this case is 50 cm
We have ;
115/360 * 2 * 3.1412 * 50 = 100 cm approximately
Answer:
a). The company's percentage=60%
b). The total premium=$812.50
c). The company's payment=$487.50
Step-by-step explanation:
a).
The total premium can be expressed as;
T=H+R
where;
T=proportion of total premium
H=proportion paid by Harold Wagner
R=remaining proportion
In our case;
T=100%
H=40%
R=r
replacing;
100%=40%+r
r=100%-40%
r=60%
The company's percentage=60%
b).
The total premium, if 40%=$325.00
Let total premium be=t
40% of t=325
(40/100)×t=325
0.4 t=325
t=325/0.4
t=$812.50
The total premium=$812.50
c).
The company's payment=60% of total premium
The company's payment=(60/100)×812.5
The company's payment=$487.50
Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
2=3x-1
+1 on both sides
3=3x
/3 on both sides
1=x
Flip
X=1
