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Igoryamba
3 years ago
5

Lily is making granola she is as almonds walnuts and pecans in the ratio 4 to 328 Louise is 40 ounces of pecans find the weight

of the walnuts
Mathematics
1 answer:
blagie [28]3 years ago
5 0
15 ounces of walnuts 
75 ounces of granola
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Tema [17]
The answer is A (x+5)(x+3)

explanation:
the GCF of 15 is 3 and 5
3 and 5 also add up to 8 making each of the number the zeros

(x+5)(x+3)
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Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?
velikii [3]
We can use the point-slope equation:
y = mx + b
m, the slope, is 3/4:
y =  \frac{3}{4} x + b
To find b, we plug in the point (4,1/3):
( \frac{1}{3} ) =  \frac{3}{4} (4) + b \\  \frac{1}{3}  = 3 + b \\  \frac{1}{3} =  \frac{9}{3}  + b
-  \frac{8}{3}  = b

Therefore, the point-slope equation is
y =  \frac{3}{4} x -  \frac{8}{3}

Now we have to see which answer matches.


y -  \frac{3}{4}  =  \frac{1}{3} (x - 4) \\ y -  \frac{3}{4}  =  \frac{1}{3} x -  \frac{4}{3}  \\ y -  \frac{9}{12}  =  \frac{1}{3} x -  \frac{16}{12}
y =  \frac{1}{3} x -  \frac{7}{12}
Since this is not the same, we try the next one.


y -  \frac{1}{3}  =  \frac{3}{4} (x - 4) \\ y -  \frac{1}{3}  =  \frac{3}{4} x - 3 \\ y -  \frac{1}{3}  =  \frac{3}{4} x -  \frac{9}{3}
y =  \frac{3}{4} x -  \frac{8}{3}

This is the same, so this is the answer. We should still double-check the other answers.

y -  \frac{1}{3}  = 4(x -  \frac{3}{4} ) \\ y -  \frac{1}{3}  = 4x - 3 \\ y -  \frac{1}{3}  = 4x -  \frac{9}{3}
y = 4x -  \frac{8}{3}
This one is not equivalent.

y - 4 =  \frac{3}{4} (x -  \frac{1}{3} ) \\ y - 4 =  \frac{3}{4} x -  \frac{1}{4}  \\ y -  \frac{16}{4}  =  \frac{3}{4} x -  \frac{1}{4}
y =  \frac{3}{4} x +  \frac{15}{4}
This one also does not work.


The answer is the second one:
y -  \frac{1}{3}  =  \frac{3}{4} (x - 4)
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