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vazorg [7]
3 years ago
12

Barry is measuring the length of his pencils. The red pencil is 4.32 inches long, the blue pencil is 6.1 inches long, and the gr

een pencil is 2.27 inches long. What is the sum of the lengths of the pencils? 7.20 inches 12.61 inches 12.69 inches
I NEED ANWSER FAST! AND QUICK! PLEASE HELP! I give 38 points who ever answer!! PLEASE!!!
Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer: \boxed {12.69 inches}

Step-by-step explanation:

<u>Given information</u>

Red pencil = 4.32 inches

Blue pencil = 6.1 inches

Green pencil = 2.27 inches

<u>Expression deducted from the question</u>

Total length = Red pencil + Blue pencil + Green pencil

<u>Substitute values into the expression</u>

Total length = (4.32) + (6.1) + (2.27)

<u>Simplify by addition</u>

Total length = 10.42 + 2.27

Total length = 12.69 inches

Hope this helps!! :)

Please let me know if you have any questions

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A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

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Step-by-step explanation:

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