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KiRa [710]
3 years ago
5

Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 4 4 4444 inches wide and the s

econd piece is 3 3 3333 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?
Mathematics
2 answers:
disa [49]3 years ago
7 0

Answer:

11

Step-by-step explanation:

We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.

To find the greatest possible width of each strip we will find GCF of 44 and 33.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 33 are: 1, 3,11, 33.

We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.

poizon [28]3 years ago
5 0

Answer:

Each strip should 11 inches wide.

Step-by-step explanation:

We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.

To find the greatest possible width of each strip we will find GCF of 44 and 33.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 33 are: 1, 3,11, 33.

We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.

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Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

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It's about 6,111 kids per second.

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Answer:

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Step-by-step explanation:

<u>We know that:</u>

  • 4x + y = 14
  • 6x - 3y = 3

<u>Let's first solve for y by choosing any equation.</u>

  • 4x + y = 14
  • => y = 14 - 4x

<u>Now, let's substitute the value of y into the second equation.</u>

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<u>Now, let's substitute the value of x into the equation of y.</u>

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