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3 years ago

Wich expression best estimates - 18 1/4 divided by 2 2/3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

7 0

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

$-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\ -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}$

$2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\ \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}$

By dividing:

$\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84$

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

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vovikov84 [41]

Answer:

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

Thus,

Thus the length of TU=6 inches

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3 years ago

9.5 is what percent of 500?

natta225 [31]

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9.5% × 500 =

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g100num [7]

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