Mathematics, 05.12.2019 05:31 Tyjon16

Kelly babysits for 5 5/6 hours on the weekend. this is 2 1/12 hours more than she babysits during the week how many hours does she babysit during the week? show work

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Answer from: mateotrevino1

She had baby sit for $\frac{45}{12}$ hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.

Step-by-step explanation:

Given:

kelly babysits for 5 5/6 hours on the weekend.

5 5/6 can be rewritten as $\frac{35}{6}$

This is 2 1/12 hours more than she babysits during the week.

2 1/12 hours can be rewritten as $\frac{25}{12}$

Let the number of hours she works in week be x;

Hence the expression can be given as;

$\frac{25}{12} + x = \frac{35}{6}$

Now Solving for x we get;

$x = \frac{35}{6}-\frac{25}{12}$

Now making the denominator common we get;

$x = \frac{35\times 2}{6\times2}-\frac{25}{12}$

$x = \frac{70}{12}-\frac{25}{12}$

$x = \frac{70-25}{12}$

$x = \frac{45}{12}$

She had baby sit for $\frac{45}{12}$ hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.

Answer from: karyvillanuevap5w9ym

During the week she babysits 3 3/4 hours

Step-by-step explanation:

Let's call x: the number of hours that she babysits during the week.

5 5/6 hours represents 2 1/12 hours more than she babysits during the week.

Therefore:

x + 2 1/12 = 5 5/6

x = 5 5/6 - 2 1/12

5 5/6 can be rewritten as (6*5 + 5)/6 = 35/6

2 1/12 can be rewritten as (12*2 +1)/12 = 25/12

Replacing:

x = 35/6 - 25/12

12 is multiple of both denominators, 6 and 12, then the subtraction will have 12 as denominator.

x = [35*(12/6) - 25*(12/12)]/12

x = (70 - 25)/12

x = 45/12 or 3 3/4

Answer from: Quest

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

$m\angle qrt=156^o$

$m\angle qst=156^o$

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

Answer from: Quest

answer: what are the answer choices?

step-by-step explanation:

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