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masya89 [10]
2 years ago
14

Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu

el walk?
Mathematics
2 answers:
Afina-wow [57]2 years ago
3 0
Find a common denominator which is 12

1*3=3   4*3=12  so 3 3/12

then 5*2=10   6*2=12     so 2 10/12

2 10/12+3 3/12= 5 13/12  

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12
poizon [28]2 years ago
3 0

Answer:

73/12 miles

Step-by-step explanation:

We can determine the total amount of miles that Samuel walks by using the distances he walks in the parade and the distance he walks home. We can add these totals together to give us the total distance walke. We can first make all values in fraction form by using a common denominator. We can see that the for 3 1/4 in the fraction for:

=(3\cdot{4}+1)/4=13/4

and for 2 5/6:

=(2\cdot{6}+5)/6=17/6

The common demonimator of both equations are 12:

and therefore:

39/12+34/12=73/12

Samual walks 73/12 miles

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Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral
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Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

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Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

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The length of side BC, with B = (6, 6) and C = (4, 1) gives;

l_{BC} = \sqrt{\left (1-6  \right )^{2}+\left (4-6  \right )^{2}} = \sqrt{29}

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

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The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

l_{DA} = \sqrt{\left (4-(-1)  \right )^{2}+\left (1-(-1)  \right )^{2}} = \sqrt{29}

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b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

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The equation of the diagonal AC in point and slope form is given as follows;

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