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Mashutka [201]
3 years ago
10

Do you have 135$ in a savings account and save $12 per week your friend has $95 in a savings account and save $20 per week how m

any weeks will it take for you and your friend have the same balance?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

5 weeks.

Step-by-step explanation:

If w is the number of weeks, apply algebra.

So think about what would be the total money saved, or the same thing as  the Money in saving account + Money saved per week × Number of weeks

For you, this would be 135 + 12w

For your friend, 95 + 20w

So then, 135 + 12w = 95 + 20w

1) 135- 95 = 20w - 12w

2) 40 = 8x

3) X= 5 (8 times 5 is 40)

Therefore, it will take 5 weeks for you and your friend to have the same balance.

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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3
ArbitrLikvidat [17]
ANSWER

\boxed {( \frac{1}{2} , 1)}

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})

Using L(0,-3),N(1,5) gives,

(\frac{0+1}{2}, \frac{ - 3+5}{2})

(\frac{1}{2}, \frac{ 2}{2})

(\frac{1}{2}, 1)

Or we could have also used,M(-2,1),O(3,1) to get,

(\frac{-2+3}{2}, \frac{ 1+1}{2})

(\frac{ 1}{2}, \frac{ 2}{2})

(\frac{ 1}{2}, 1)

The correct answer is C

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