Our basis is the given ratio of 1:44. The actual rocket is obviously larger than the model rocket. Thus, it means that for every 44 ft of the actual rocket, the scale of the model rocket would be 1 ft. Through ratio and proportion, the solution is as follows:
1/44 = x/168
x = 3.818 ft
<em>The height of the model rocket, is approximately 3.8 ft.</em>
Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
You replace the p in the given expression by -2 and the m by 3 and simplify
So its (-2)^ / 4 - 3
= 4/4 - 3
= 1 - 3 (note the division 4/4 is done first according to the order of operations rule)
= -2 answer
Answer:
See below
Step-by-step explanation:
The first one 'cubes' the denominator AND the numerator:
(-2/5)^3 = -2/5 * -2/5 * -2/5 = -8/125
The second one 'cubes' only the denominator:
-2/5^3 = -2 / (5 * 5 * 5) = - 2 / 125
