Answer:
Bobby around 131 minutes and Billy around 111 minutes
Step-by-step explanation:
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = ~ 1/60
Which table represents a linear function? y=3,7,11,15 y=3,8,15,21 y=3,9,3,9 y=3,9,27,81?
steposvetlana [31]
The table that represents a linear function is y=3,7,11,15
<h3>How to determine the table?</h3>
For a table to represent a linear function, the table must have a constant rate of change i.e. a common difference
From the list of options, we have:
y=3,7,11,15
The difference between each y value is 4
i.e. 7 - 3 = 11 - 7 = 15 - 11 = 4
Hence, the table that represents a linear function is y=3,7,11,15
Read more about linear functions at:
brainly.com/question/4025726
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Answer: -7
Step-by-step explanation:
The equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is <u>d = 320 - 69h</u>. Hence, <u>option B</u> is the right choice.
The total distance that Joe needs to cover to travel to Dallas = 320 miles {As he lives 320 miles away from Dallas}.
The distance that Joe covers after traveling for h hours at an average speed of 69 miles per hour = 69h {as Distance = Speed*Time}
Therefore, the distance left to cover by Joe, that is the distance from Dallas d can be written as the difference between the total distance needed to be covered and the distance Joe already covered.
Thus the equation is d = 320 - 69h.
Thus, the equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is <u>d = 320 - 69h</u>. Hence, <u>option B</u> is the right choice.
Learn more about writing equations at
brainly.com/question/18087375
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Answer:
8 + 2x = 30
Step-by-step explanation:
Given,
The initial number of push-ups he does in each day = 8,
And, the number of push-ups, he increases per day = 2,
Let x be the number of days after he will reach his target of 30 push-ups,
Since, the number of push-ups she will increase in x days = 2x,
Thus, the number of push-ups she will do after x days = 8 + 2x,
⇒ 8 + 2x = 30, which is the required equation.
