Answer: 197
Step-by-step explanation:
The nth term is 3n+5
so the 64th term will be
(3 x 64)+5
192+5
= 197
Answer:
solution:
x = pounds of cashews = 20
y = pounds of peanuts = 70
Step-by-step explanation:
x = pounds of cashews
y = pounds of peanuts
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4.75x + 2.50y = 3.00*90
x + y = 90
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put the system of linear equations into standard form
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4.75x + 2.50y = 270
x + y = 90
Use TrianCal to draw a triangle with phi as Great Piramid (minimum perimeter given 2 equal heights) = maximun stability.
NOTE: Phi=(1+√5)/2≈1.62 and acos(1/Phi)≈51.83º
Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3
This equation is written in <em>standard form</em>, so we need to change it into <em>slope-intercept form.</em>
<em />
3x = -y - 5
3x + y = -y + y - 5
3x + y = -5
3x - 3x + y = -5 - 3x
y = -5 - 3x
y = -3x - 5
The slope is classified as "m" in this type of equation, so, the slope is -3.
Best of Luck!
