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2 years ago

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.

Mathematics

2 answers:

Setler [38]2 years ago

6 0

In the question "Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment. Which statement about the stamps is correct?" The correct answer is "The total number of stamps is 35." This is because the sums of the different combinations of the 45 cents stamps and 65 cents stamps are 35. i.e. 18 + 17 = 35 20 + 15 = 35 22 + 13 = 35 25 + 10 = 35

ArbitrLikvidat [17]2 years ago

4 0

The table gives the different combinations of stamps Karl has

the first option says that

a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps

b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong

c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct

d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong

correct answer is C

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The lengths of MN is 22 units, MO is 26 units and JK is 10 units

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A line segment joining the mid-points of two sides in a triangle is parallel to the third side and equal to half its length

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∵ J, K, and L are mid-points

∵ JL // MN and LK // MO

∴ L is the mid-point of ON

∴ J is the mid-point of MO

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→ By using the rule above

∴ JL = $\frac{1}{2}$ MN

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∴ 11 = $\frac{1}{2}$ MN

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∴ 22 = MN

∴ MN = 22 units

∵ K, L are the mid-points of MN and ON

∵ KL is opposite to MO

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∴ MO = 26 units

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∴ JK = 10 units

∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units

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