<span>The first 8 (in the thousands location) has a value of 8,000 while the second 8 (in the hundreds place) is valued at 800. Similarly, the first 4 (in the tens location) has a value of 40 while the 4 in the units position is simply valued at 4.</span>
Answer:
see below
Step-by-step explanation:
Let g= amount that gail has
j = g+10
j+g ≤ 27
Substitute the first equation into the inequality
g+g+10 ≤ 27
2g + 10 ≤ 27
Subtract 10 from each side
2g≤ 17
Divide by 2
g≤ 8.5
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
answer:
6x(x - 2y) + 5y(x – 2y)
= 6x^2 - 12xy + 5xy - 10y^2
= 6x^2 - 7xy - 10y^2
<span>The work on the bucket is a function of height--->h
dwork = F(h)*dh
dwork = weight(h)*dh
weight(t) = 44 - 0.2t
but t = h/v
weight(h) = 44 - 0.2(h/v) --->[44 - 8] = 36 lbs at top
work = ∫ weight(h) * dh
work = ∫[44 - 0.2(h/v)] dh <0 to 80>ft
work = ∫[44 - 0.1h] dh <0 to 80>ft
work = 44h - 0.1*0.5*h^2 <0 to 80>ft
work = 44*80 - (0.1*0.5*80^2) = 3200 ft-lbs</span><span>
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