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AleksAgata [21]

2 years ago

6

Marcy can make 3 potholders and 8 paper flowers in a day. The following expression, (3 * 2.50 + 8 * 1.25)d represents how much M

arcy can earn in d days. Use the Distributive Property to write an expression equivalent to this expression. (3 * 2.50 + 8 * 1.25)d =

1 answer:

frutty [35]2 years ago

8 0

Answer:

(3 * 2.50 + 8 * 1.25) d =

3*2.50 d + 8*1.25 d

or

7.50 d + 10 d

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

we have that

The horizontal distance AB is equal to

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The vertical distance AB is equal to

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so

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$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

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so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

so

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

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The coordinates of point C are (8,8.5)

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Answer:

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