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ale4655 [162]
3 years ago
15

Sally has 30 feet of ribbon. She cuts strips each of length 2 2/5 feet from the ribbon. Sally says I can cut 13 of these strips

from this ribbon.
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer: See explanation

Step-by-step explanation:

For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:

= 30 ÷ 2 2/5

= 30 ÷ 12/5

= 30 × 5/12

= 25/2

= 12 1/2 strips

Therefore, the maximum number of strips that Sally can cut is 12 and not 13.

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Hitman42 [59]

\longmapstoThe value of "x" is 5.

\large\underline{\sf{Solution-}}

Given that,

A trapezium ABCD in which AB || CD such that

  • AO = x - 1

  • CO = BO = x + 1

  • OD = x + 4

Now,

\rm In \: \triangle  \: AOB  \: and \: \triangle \:  COD

\rm  \: \angle  \: AOB  \: and \: \angle \:  COD \:  \:  \{vertically \: opposite \: angles \}

\rm  \: \angle  \:ABO  \: and \: \angle \:  CDO \:  \:  \{alternate \: interior \: angles \}

\bf \: \triangle  \: AOB \:  \sim \:  \triangle  \: COD \:  \:  \:  \{AA \: similarity \}

\bf\longmapsto\:\dfrac{AO}{CO}  = \dfrac{BO}{DO}

\rm \longmapsto\:\dfrac{x - 1}{x + 1}  = \dfrac{x + 1}{x + 4}

\rm \longmapsto\:(x - 1)(x + 4) =  {(x + 1)}^{2}

\rm \longmapsto\: {x}^{2} - x + 4x - 4 =  {x}^{2} + 1 + 2x

\rm \longmapsto\: 3x - 4 =  1 + 2x

\rm \longmapsto\: 3x  -  2x=  1 +4

\bf\longmapsto \:x = 5

7 0
3 years ago
2(x + 4) − 1 = 2x + 7
Margarita [4]

Answer:

All real numbers are solutions to this problem.

Step-by-step explanation:

I) Simplify:

2(x + 4) - 1 = 2x + 7

x + 4 - 0.5 = x + 3.5 (Divide by 2)

x + 3.5 = x + 3.5 (Simplify <em>x + 4 - 0.5</em>)

x = x

II) Conclusion:

Any real number will work as a solution.

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Suppose, the width of the rectangular tabletop is x inch.

As the tabletop has a length that is twice it’s width, so the length will be:  2x inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>:  d=\sqrt{l^2+w^2}

So, the equation will be..........

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