Since she walked 3/5 mile in half a hour, we must multiply it by 2 to find mph.
3/5*2 = 6/5 = 1 1/5. Hope this helps!
Answer:
y = -2x + 1
Step-by-step explanation:
To find slope, you need to use the formula:
m = 
<u><em>Plug in the numbers accordingly:</em></u>
m = 
m = 
<u><em>Simplify:</em></u>
m = -2
<u><em>To find the y-intercept, you need to plug in one of the coordinates (doesn't matter which one) into the equation:</em></u>
Coordinate : (-1, 3)
3 = -2(-1) + b
3 = 2 + b
<u><em>Subtract 2 from both sides:</em></u>
3 = 2 + b
-2 -2
________
1 = b
<u><em>Put it all together:</em></u>
y = -2x + 1
Let
x = the number of a-cables
y = the number of b-cables
z = the number of c-cables
Cable a uses 3 black, 3 white and 2 red wires.
Cable b uses 1 black, 2 white and 1 red wire.
Cable c uses 2 black, 1 white and 2 red wires.
Because 120 black, 110 white and 100 red wires were used, therefore the system of equations is
3x + y + 2z = 120 (1)
3x + 2y + z = 110 (2)
2x + y + 2z = 100 (3)
Answer:
3x + y + 2z = 120
3x + 2y + z = 110
2x + y + 2z = 100
where
x,y,z = the number of a, b and c-cables respectively.
6 is the answer. 3(6-14)/-4 = 3(-8)/-4 = 3(-2) = -6.
Hope this helps, and have a great day!
Answer:
Step-by-step explanation:
4) d = 12 cm; r = 12/2 = 6cm ; h = 5 cm
S.A = 2πr(r + h)
= 2* 3.14 * 6 * (6 + 5)
= 2 * 3.14 * 6 *11
= 414.48 cm²
5) d = 8 cm ; r = 8/2 = 4cm ; h = 7cm
S.A = 2πr(r + h)
= 2 *3.14 * 4 * (4 + 7)
= 2 * 3.14 * 4 * 11
= 276.32 cm²
6) r = 4 cm ; h = 6cm
SA = 2πr(r +h)
= 2 * 3.14 * 4 * 10
= 251.2 cm²
7) Area of front and back = 
= base * height
SA = (front and back) + Base + left + right
= 4* 3 + (8*3) + (8*4) + ( 8*5)
= 12 + 24 + 32 + 40
= 108 cm²
8) SA = (front and back) + Base + left + right
= (8 * 6) + (12*6) + (12*8) + (12*10)
= 48 + 72 + 96 + 120
= 336 cm²
9) SA = (front and back) + Base + left + right
= (12 *5) + (8*5) + (8*12) +(8*13)
= 60 + 40 + 96 + 104
= 300 cm²