Answer:
The quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Step-by-step explanation:
Let amount of first type of nut = x
Amount of second type of nut = 12.9 - x
Total Cost of first type of nut = 4.5 x
Total Cost of second type of nut = 8.8 × (12.9 - x)
Total cost of both type of nut = 8 × 12.9
Total cost = Cost of first type of nut + Cost of second type of nut
8 × 12.9 = 4.5 x + 8.8 × (12.9 - x)
103.2 = 4.5 x + 113.52 - 8.8 x
8.8 x - 4.5 x = 10.32
4.3 x = 10.32
x = 2.4
Therefore the quantity of first nut = x = 2.4 lb
The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb
Answer:
7%*12=6%(12+x)
.84=.72+.06x
.06x=.12
x=2
how much water should be added to 12 mL of 7% alcohol to reduce concentration to 6%? 2 ML
Step-by-step explanation:
Answer:
uhhhhhh i.dk lol
Step-by-step explanation:
Hey mate!
The word form for 680,000 is:
<span>Six hundred eighty
thousand and ten.</span>
<span>Hope this helps!</span>
<span>
</span>
<span>
</span>
9514 1404 393
Answer:
y = 11.2 in
Step-by-step explanation:
The product of segment lengths to the near and far intersection points of the secant with the circle are the same for all secants from the same external point. Here, there are three, so we have the relations ...
9×9 = 5(5+y) = x(x+19)
Then the value of y can be found as ...
81/5 = 5+y
16.2 -5 = y = 11.2
__
The value of x is a little trickier, as a quadratic is involved.
81 = x² +19x
81 + 90.25 = x² +19x +90.25 . . . . complete the square
171.25 = (x +9.5)²
x = √171.25 - 9.5 ≈ 3.58625...
__
<em>Additional comment</em>
For the purpose here, the tangent can be considered to be a degenerate case of a secant in which the two points of intersection with the circle are the same point. For the purpose of this calculation, the length of the tangent is squared. (The distance to the points of intersection is the same.)
I find it easier to remember one rule, rather than a separate rule for tangents. With some imagination, the same rule can be applied when the "secants" meet <em>inside</em> the circle. In that case, they are called "chords".
We have shown the value for x because we suspect some versions of this question may ask for x instead of y. (Rounding may be required in that case.)
