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Studentka2010 [4]

3 years ago

10

Afton made a chicken dish for dinner. She added a 10 ounce package of vegetables and a 14 ounce package of rice to 40 ounces of

chicken. What was the total weight of the chicken dish in pounds.

1 answer:

olga nikolaevna [1]3 years ago

7 0

10 ounces + 14 ounces + 40 ounces= 64 ounces, or 4 pounds

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3 years ago

Calculate the fraction of this recurring decimal.

Agata [3.3K]

<h3>Answer: 76/4995</h3>

========================================================

Explanation:

x = 0.0152152...

10x = 0.152152...

10000x = 152.152...

Subtract the last two equations to find that

10000x-10x becomes 9990x on the left side
152.152... - 0.152152... becomes 152 on the right side

We're left with the equation 9990x = 152 which solves to x = 152/9990

Divide both parts of that fraction by 2 so that the fraction fully reduces to 76/4995 which is the final answer

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3 years ago

Segment CD has endpoints (-4, 3) and (8, -1). Find the coordinates of the point that divides the line segment directed from C to

Diano4ka-milaya [45]

Answer:

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

Step-by-step explanation:

If point $A(x,y)$ divides the segment with endpoints $C(x_1,y_1)$ and $D(x_2,y_2)$ in the ratio $m:n,$

then

$x=\dfrac{nx_1+mx_2}{m+n}\\ \\y=\dfrac{ny_1+my_2}{m+n}$

In your case,

$C(-4,3)\\ \\D(8,-1)\\ \\m:n=2:3$

then

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Thus,

$A(0.8,\ 1.4)\ \text{or }\ A\left(\dfrac{4}{5},\dfrac{7}{5}\right)$

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