Answer:
Cara:108
Step-by-step explanation:
John: x number of cards
Cara: 12 times x number of cards(she has 12 times more cards than John)
Cara+John=117 cards
Cara has 12×9 cards, so she has 108 cards.
Hope this was helpful :)
Answer:
Step-by-step explanation:
Given:
elongation, x = 0.50 in
Force, f = 9000 lb
Young modulus, E = 10,000,000 psi
Maximum Stress, Sm = 30000 psi
Length, L = 16 ft
Converting ft to in,
12 in = 1 ft
=16 × 12 = 192 in
Young modulus, E = stress/strain
Stress = force/area, A
Strain = elongation, x/Length, L
E = f × L/A × E
1 × 10^7 = stress/(0.5/16)
= 26041.7 psi
Minimum stress = 26041.7 psi
Maximum stress = 30,000 psi
Stress = force/area
Area = 9000/26041.7
= 0.3456 in^2
Stress = force/area
Area = 9000/30000
= 0.3 in^2
Using minimum area of 0.3 in^2,
A = (pi/4)(d^2)
0.3 in^2 = (pi/4)(d^2)
d = 0.618 inches
diameter, d = 0.618 inches
Answer:
s = 6
Step-by-step explanation:
8(s+3) = 72
Expand the brackets out:
(8 x s) + (8 x 3) = 72
8s + 24 = 72
Now you get rid of 24 on the left, by taking away 24. But you also have to do the same on the right side so that both sides are equal:
8s + 24 = 72
left(-24) = right (-24)
So that leaves you with:
8s = 48
Now divide both sides by 8 to make them equal and to get s on its own:
8s = 72
left(/8) = right (/8)
Therfore:
s = 6
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
83.57 i believe because you would round the 43 down so it would stay the same
