Answer:
a 4/17
Step-by-step explanation:
if you add them all up, you get 34. 8 out of 34 reduced is 4/17
The ratio from pine to elm is pine/elm
so, pine/elm
1. Plug it in 350/600
2. Simplify 7/12
So there is 7kg of pine to every 11kg of elm. Written as a ratio, it's pine:elm, so 7:11
Answer:
- x = 10
- B. 3/7
Step-by-step explanation:
1. (x - 2)/ 4 - (3x + 5)/7 = - 3
7(x -2) -4(3x +5) = -84 . . . . . . . multiply by 28
7x -14 -12x -20 = -84 . . . . . . . . eliminate parentheses
-5x -34 = -84 . . . . . . . . . . . . . . collect terms
-5x = -50 . . . . . . . . add 34
x = 10 . . . . . . . . . . . divide by -5
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2. 1/(1 + 1/(1 - 1/x)) = 4
1 = 4(1 +1/(1 -1/x)) . . . . multiply by the denominator
-3 = 4/(1 -1/x) . . . . . . . eliminate outer parentheses, subtract 4
-3(1 -1/x) = 4 . . . . . . . multiply by the denominator
-3 +3/x = 4 . . . . . . . . eliminate parentheses
3/x = 7 . . . . . . . . . . . add 3
x = 3/7 . . . . . . . . . . . multiply by x/7
Answer:
1
Step-by-step explanation:
We need to find the factors of 18 and 35
Breaking into prime factors
18 = 2*9 = 2*3*3
35 = 5*7
There are no common factors so the greatest common factor is 1
Answer:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches