-16
1/16
16
256
b.) 2/9
c.) 3/8
d.) 4/7
Answer: The correct option is (C)
Step-by-step explanation: We are given to select the fraction that converts to a terminating decimal number.
(a) The first fraction is
We have
Since this decimal is non-terminating, so this option is NOT correct.
(b) The second fraction is
We have
Since this fraction is non-terminating, so this option is NOT correct.
(c) The second fraction is
We have
Since this fraction is terminating, so this option is CORRECT.
(d) The second fraction is
We have
Since this fraction is non-terminating, so this option is NOT correct.
Thus, option (C) is CORRECT.
Answer:
3. the answer is 5 degrees
4. 8 points
5. 56
6.24
Step-by-step explanation:
Answer:
-9s2 + 4s -2
Step-by-step explanation:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)=
(-6s2-3s2) +12s-8s -8+6=
-9s2 + 4s -2
Answer:
Step-by-step explanation:
Answer:
Attachment 1 :- x = 3/2
Attachment 2 :- m + r = 154°
Step-by-step explanation:
Attachment 1 :-
As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-
Attachment 2 :-
PQR is a straight line . It's given that m + n = 110°
But we know that m + n + r = 180° ..............eqn.1
So substituting the value of m+n in eqn.1 gives :-
m+n+r = 180°
=> r + 110° = 180°
=> r = 180° - 110°
= 70°
It's also given that n+r = 96°
So putting the value of r in the above gives ,
n+r = 96°
=> n + 70° =96°
=> n = 96° - 70°
= 26°
Putting the value of n in eqn.1 gives
m + n = 110°
=> m + 26° = 110°
=> m = 110° - 26°
= 84°
So m + r = 84° + 70° = 154°
Answer: This is a problem of inverse variation, where the number of days that the food lasts is inversely proportional to the number of soldiers in the fort. We can use the formula:
d = k / s
where d is the number of days, s is the number of soldiers, and k is a constant of proportionality. We can find the value of k by using the initial information:
48 = k / 1500 k = 48 * 1500 k = 72000
Now we can use the information after 13 days to find the new number of soldiers. Let x be the number of soldiers who joined the fort. Then we have:
25 = 72000 / (1500 + x) 25 * (1500 + x) = 72000 37500 + 25x = 72000 25x = 34500 x = 1380
Answer: The number of soldiers who joined the fort after 13 days is 1380.