35.

5/9= 0.555555556

0.55555556*63=35

2/3= 0.6666666667

0.666666667*63= 42

63-35=28

42-28=14
She has 35 unplanted flowers and must plant 14 more in order to have filled 2/3 of her flower bed.

8 0

2 years ago

The product of 12 and 3

cestrela7 [59]

Answer:

Step-by-step explanation:

12 x 3 = 36

3 0

3 years ago

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A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.

Dima020 [189]

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

$B - A = \frac{2}{2+3}(C - A)$

$B - A = \frac{2}{5}(C - A)$

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

$B - A = \frac{2}{5}(C - A)$

$x - 3 = \frac{2}{5}(5 - 3)$

$x - 3 = \frac{4}{5}$

$x = 0.8 + 3 = 3.8$

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

$B - A = \frac{2}{5}(C - A)$

$y - 4 = \frac{2}{5}(11 - 4)$

$y - 4 = \frac{14}{5}$

$y = 2.8 + 4 = 6.8$

Thus the correct answer is:

(3.8, 6.8)

7 0

3 years ago

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