Answer:
joint variation means L (safe load) is directly proportional to both w and d2
inverse proportionality means L = k/l
So the equation is:
L = k(wd2/l)
You are given:
w = 6 in
d = 5 in
l = 12 ft
L = 7666 lbs
7666 = k(6*52/12)
Solve for the constant, k.
7666 = k (6*25/12)
7666 = k (150/12)
7666 = k (12.5)
613.28 lbs/(ft.in3) = k
Use this k-value to solve for L in the last part of the question.
What safe load, L would a beam 3 in. wide, 7 in. deep and 15 ft long of the same material support? (Round off your answer to the nearest pound.)
w = 3 in
d =7 in
l = 15 ft
k = 613.28 lbs/(ft.in3)
Final Safe load = 6010.144 lbs *** Edited for clarity and to fix a multiplication erro
Answer: 105
Step-by-step explanation: 3 x 7 x 5= 105
Answer:
$508.33
Step-by-step explanation:
If I bet $25 (And I win, of course), I will win:
If I win $61 per every $3 bet, then:
61/3 = x/25 ⇒ Solving for 'x':
61*25/3 = $508.33
Finally, if you bet $25 you will win $508.33.
Answer:
<h3>13 years</h3>
Step-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
