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Sindrei [870]
3 years ago
15

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29

cartons today. How much twine will he need? Convert the answer to larger units whenever possible.
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer

Find out the how much twine will he needs to pack 29 cartons today .

To proof

As given

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.

As given in the question

Convert the answer to larger units .

As between  yard is the largest unit between yard, feet and inches.

1 inches = \frac{1}{36} yard

and

1 feet = \frac{1}{3} yard

Convert 2 feet into yard

=\frac{2}{3}

Convert 4 inches into yard

= \frac{4}{36}

twine to wrap each carton packs

= 1 + \frac{2}{3} + \frac{4}{36}

L.C.M of (3 , 36) = 36

than the equation becomes

=\frac{36 +2\times 12 + 4}{36}

= \frac{64}{36}

=1.77777778 yard

Now twine to wrap pack 29 cartons  = 29× 1.77777778

                                                             = 51.5555556 yard


Now twine to wrap pack 29 cartons is 51.55 yard ( approx)

Hence proved  

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<em>The answer is 18k + 22p - 10</em>

<em>Step-by-step explanation:</em>

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pychu [463]

1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>

2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.

<h3>What is a mathematical expression?</h3>

A mathematical expression is a statement that involves two or more variables that require some mathematical operations.

Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.

<h3>Data and Calculations:</h3>

Parking fee = $35

Ticket fee per person = $45

The number of people on the show = 3 (Ms. Thomas and her two friends)

Coupon = $15

Amount of money spent = p + 45n - c

where p = parking fee, n = number of visitors, and c = coupon received.

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Learn more about mathematical expressions at brainly.com/question/1852123

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3 0
2 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

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I am not really getting your question. Could you comment on this answer?

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