Answer:
The answer is:
which agrees with the last answer option (D) in the list.
Step-by-step explanation:
In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:
the second denominator consists of only one of these factors: 
, then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: 
Then we get two expressions that can be easily added as shown below:
Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
Since the family spends ten minutes on average per shower and there is 2.5 gallons spent per minute, 25 gallons are used per shower and with 4 shows per day, 100 gallons are used per day, so in 30 days they use 3,000 gallons of water, since water costs $1.50 per 1000 gallons, showering only costs them $4.50 per month
Answer:
Step-by-step explanation:
c=100g+50
then plug in g to get c values
The amount Jake Hunter earned last week was $800.00
What is the total earnings of Jake Hunter for the week?
The total earnings of Jake Hunter for the week comprises of the regular rate multiplied the regular hours of 40 hours and the overtime rate, which is double of the regular pay multiplied by the overtime hours of 5 hours
Total earnings=($16*40)+($16*2*5)
2 means double of the regular pay of $16 , then multiplied by 5 overtime hours
Total earnings=$640+$160
Total earnings=$800.00
Find out more total earnings on: brainly.com/question/10432308
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