Answer:
68.875 / 7.25 = 9 1/2 pounds
Step-by-step explanation:
Answer:
101.33333 minutes
Step-by-step explanation:
Given :
Leakage rate = 3 ounces per 19 minutes
Time it'll take for 16 ounces of juice in the container to leak out
The leakage rate on ounce per minute :
3 ounces / 19 minutes = 0.1578947 ounce per min
1f 0.1578947 ounces leak out in 1 minutes
16 ounces will leak out in x minutes
Hence ;
0.1578947x = 16 ounces
x = 16 / 0.1578947
x = 101.33335 minutes
OR :
3 ounces = 19 minutes
1 ounce = (19 / 3) = 6.333333 minutes
16 ounces = (15 + 1) ounce
15 ounces = 3 * 5
Hence, 15 ounces will leak in (19 minutes * 5) = 95 minutes
1 ounce = 6.33333 minutes
Hence,
16 ounces will leak in (95 minutes + 6.33333 ounces) = 101.33333 minutes
HENCE, All 16 ounces will leak out in 101.33333 minutes
<span> divide a polynomial p(x) by (x-3). Add and subtract the multiple of (x-3) that has the same highest-power term as p(x), then simplify to get a smaller-degree polynomial r(x) plus multiple of (x-3). </span>
<span>The multiple of (x-3) that has x^4 as its leading term is x^3(x-3) = x^4 - 3x^3. So write: </span>
<span>x^4 + 7 = x^4 + 7 + x^3(x - 3) - x^3(x - 3) </span>
<span>= x^4 + 7 + x^3(x - 3) - x^4 + 3x^3 </span>
<span>= x^3(x - 3) + 3x^3 + 7 </span>
<span>That makes r(x) = 3x^3 + 7. Do the same thing to reduce r(x) by adding/subtracting 3x^2(x - 3) = 3x^3 - 9x^2: </span>
<span>= x^3(x - 3) + 3x^3 + 7 + 3x^2(x - 3) - (3x^3 - 9x^2) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 </span>
<span>Again to reduce 9x^2 + 7: </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 + 9x(x - 3) - (9x^2 - 27x) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27x + 7 </span>
<span>And finally write 27x + 7 as 27(x - 3) + 88; </span>
<span>x^4 + 7 = x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27(x - 3) + 88 </span>
<span>Factor out (x - 3) in all but the +88 term: </span>
<span>x^4 + 7 = (x - 3)(x^3 + 3x^2 + 9x + 27) + 88 </span>
<span>That means that: </span>
<span>(x^4 + 7) / (x - 3) = x^3 + 3x^2 + 9x + 27 with a remainder of 88</span>
<u><em>Answer:</em></u>
No, they are not.
<u><em>Explanation:</em></u>
The base & height don't match up.
Say that you multiplied the numerator and the denominator by 2
