Answer: x = 5
Step-by-step explanation:
We can set up an equation to solve for x:
3x + 4 = 19
We can subtract 4 from both sides:
3x = 15
We can divide both sides by 3:
x = 5
Let x grams used for sweater.
Then since hat required 5 times less wool than sweater
wool used for hat = x/6 (since 5 times less)
Scarf wool=wool for hat - 5
= x/6 -5
Total wool used = wool for sweater + hat + scarf
= x+x/6+x/6-5
Given total wool used = 555 gms.
i.e. x+x/6+x/6-5 = 555
8x/6= 560
x = 560(6/8) = 420
i.e. For sweater = 420 gm of wool
for hat = 70 gm of wool
and for scarf = 65 gm of wool were used.
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Answer:
B
Step-by-step explanation:
Okay, so this is a fairly challenging problem.
Parallel lines have the same slop, but different y-intercepts.
The new equation is y = 4/3 x + b
Now substitute x and y for the point's coordinates...
-4 = 4/3 (3) + b
(solve for b)
-4 = 12/3 + b
-4 = 4 + b
b = -8
The final equation is:
y = 4/3 x - 8
In point-slope form, this is B