If it takes 10 machines 10 minutes to make 10 items, I would assume it would take 50 machines 50 minutes to make 50 items. Hope this helps :)
Answer:
percentage change in weight ≈ 10%
Step-by-step explanation:
The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as
decrease in weight = original weight - new weight
original weight = 48 kg
new weight = 43 kg
decrease in weight = 48 - 43 = 5 kg
Since the weight decrease their will be a percentage decrease in weight.
% decrease = decrease in weight/original weight × 100
% decrease = 5/48 × 100
% decrease = 500/48
% decrease = 10. 42666666667
percentage change in weight ≈ 10%
Answer:
a. 72 inches
b. 21.3 inches
Step-by-step explanation:
12:27
a. 32 inches in height
32/x = 12/27
Set these fractions equal to each other
32= 12
12 times 2.6(repeating decimal) equals 32
So to find the width do 2.666... time 27 and you get 72 inches.
---------------------------------------------------------------------------
b. 48 inches in width
Again set the fractions equal to each other.
x/48 = 12/27
48 divided by 27 equals 1.77777....
To get height, do 1.77777.... times 12 and you get 21.3333333
But since it is to the nearest tenth, you get 21.3 inches
Hope that helps!
Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
