3 years ago

What is the scale factor of this dilation?

Mathematics

1 answer:

Luden [163]3 years ago

8 0

The answer is 3/5 because i did the math on my paper and yea

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Time = 8 hours

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Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four

andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

x is Ada's amount.
y is Betty's amount.
z is Chris's amount.
w is David's amount.

$45 total, hence:

$x + y + z + w = 45$

Ada <u>gets 2 from Betty</u>, hence:

$x + 2 = y - 2$

$x = y - 4$

$y = x + 4$

<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:

$x + 4 = y = 3z = \frac{w}{2}$

Then:

$3z = x + 4$

$z = \frac{x + 4}{3}$

$x + 4 = \frac{w}{2}$

$w = 2x + 8$

Solving for w, we find Ada's initial amount.

$x + y + z + w = 45$

$x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45$

$4x + 12 + \frac{x + 4}{3} = 45$

$12x + 36 + x + 4 = 45$

$13x = 5$

$x = \frac{5}{13}$

$x = 0.385$

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

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