The ratio that is proportion to 5:15 is most likely 1:3
The second integer is greater than the first integer
<span> The first term in the binomial is "<span>x2</span>", the second term in "3<span>", and the power </span>n<span> is </span>6, so, counting from0<span> to </span>6, the Binomial Theorem gives me:(<span>x2 + 3)6 = 6C0 (x2)6(3)0 + 6C1(x2)5(3)1 + 6C2 (x2)4(3)2 + 6C3 (x2)3(3)3</span><span>+ 6C4 (x2)2(3)4 + 6C5 (x2)1(3)5 + 6C6 (x2)0(3)6</span></span><span>Then simplifying gives me<span><span>(1)(x12)(1) + (6)(x10)(3) + (15)(x8)(9) + (20)(x6)(27)</span><span><span>+ (15)(x4)(81) + (6)(x2)(243) + (1)(1)(729)</span><span>= </span><span>x12<span> + 18</span>x10<span> + 135</span>x8<span> + 540</span>x6<span> + 1215</span>x4<span> + 1458</span>x2<span> + 729</span></span><span><span>
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Answer:
They will not have the same weight during the program
Step-by-step explanation:
Let x be the number of weeks.
<u>Sandra:</u>
Sandra is starting at 150 pounds and plans to lose 1 pound a week.
Weight after x weeks:
<u>Bernice:</u>
Bernice is starting at 135 pounds and plans to lose 1/2 a pound a week.
Weight after x weeks:
Weights must be the same, so
Since 30 weeks is more that 12 weeks (the duration of the program), they will not have the same weight during this program.
