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SVETLANKA909090 [29]
3 years ago
6

Judy is playing a card game. She needs to select two cards below that have a sum greater

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

Answer:

2\frac{2}{5}  + 2\frac{5}{8} \simeq 5

2\frac{2}{7}  + 2\frac{5}{8}  \simeq 5

Step-by-step explanation:

Mixed fraction a\frac{b}{c} can be converted into like or unlike fractions.

Here, a\frac{b}{c} =  \frac{ac +b}{b}

So, convert all the given fractions as follows:

2\frac{2}{5} =  \frac{2(5) +2}{5} = \frac{12}{5}  =2.4

2\frac{2}{7} =  \frac{2(7) +2}{7} = \frac{16}{7}  =2.4

1\frac{7}{8} =  \frac{1(8) +7}{8} = \frac{15}{8}  =1.8

2\frac{1}{10} =  \frac{2(10) + 1}{10} = \frac{21}{10}  =2.1

2\frac{5}{8} =  \frac{2(8) +5}{8} = \frac{21}{8}  =2.6

Here, No Two fractions on addition gives a sum greater than 5.

But an approximate sum of 5 is given by adding 2.4 + 2.6 = 5

⇒2\frac{2}{5}  + 2\frac{5}{8} \simeq 5

or  ⇒2\frac{2}{7}  + 2\frac{5}{8}  \simeq 5

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The complete question is;

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

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Step-by-step explanation:

From the image, the diagonals of the parallelogram bisect each other. Thus;

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We are given that;

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BD = 8y - 4

Putting 8 for y to obtain;

BD = 8(8) - 4

BD = 64 - 4

BD = 60cm

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