Answer:
Step-by-step explanation:
x = 1
(x^2-4x+3=0 or sin(x)=1)
x = 1
( x^2-4x+3=0 or sin(x)=1)
The mother is older than her daughter by
years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴
= daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m -
- Change 1 m to a fraction of denominator 4, then 1 m = 
∴ The difference between their ages =
-
= 
∴ The mother is older than her daughter by
years
The mother is older than her daughter by
years
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Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer:
$56,900
Step-by-step explanation:
Given that:
Total sales in March = $151,000
Total variable cost = $94,100
The contribution margin for March can be obtained using the relation :
(Total sales - Total variable expenses)
($151,000 - $94,100)
= $56,900
Hence, contribution March for the month of March is $56,900