A number is divided by 5, then added to 18. The answer is 9 less than 62. What is the original number?
1 answer:
Answer: The original number is 175
Step-by-step explanation:
The number will be represent by x .
The number is being divided by 5 so we can represent by the expression x/5.
After than is being added to 18 so we will add 18 to the expression.
x/5 + 18 .
It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression 62 -9.
Whole equation will be x/5 + 18 = 62 - 9
+ 18 = 62 - 9 Combine like terms on the right side
x/5 + 18 = 53 Subtract 18 from both sides
-18 -18
x/5 = 35 Multiply both side by 5.
x = 175
This means the original number is 175.
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Answer:
The value of pressure at an altitude of 10000 ft = 10
Step-by-step explanation:
Given data
Atmospheric pressure = 14.7
Pressure at 4000 ft = 12.6
If temperature is constant then the atmospheric pressure is varies with the altitude according to law
P (h) =
------ (1)
where k= constant & h = height
12.6 = 14.7
0.857 =
㏑ 0.857 = - 4000 k
-0.154 = - 4000 k
k = 3.85 ×
Thus the atmospheric pressure at an altitude of 10,000 ft is
14.7 ×
----- (2)
Product of k & h is
k h = 3.85 × × 10000
k h = 0.385
Put his value of k h = 0.385 in equation (2) we get
14.7 ×
10
This is the value of pressure at an altitude of 10000 ft.