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patriot [66]
3 years ago
11

Alannah has two lengths of ribbon.

Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.

Step-by-step explanation:

Alannah has two ribbons one length is 36cm and other is 45cm.

It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.

So, let's find greatest common factor for both 36 and 45.

Let's prime factor each number

36= 2*2*3*3

45= 3*3*5

So, GCF is product of common factors for both numbers.

GCF= 3*3 =9

So, longest possible length for each of the shorter lengths of ribbon is 9 cm.

Learn more about GCF in brainly.com/question/21612147.

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The proportion that could be used to solve for the variable is \frac{16}{40}=\frac{3}{h} ; h = 7.5 ⇒ answer b

Step-by-step explanation:

A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality

  • y = k x is the equation of the proportional relationship
  • We can write the proportional relationship in the form \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k

The number of walls and the number of hours are increased or decreased together

∴ The number of walls and the number of hours are proportion

∵ 16 walls in 40 hours

∵ 3 walls in h hours

- By using the second rule above

∴ \frac{16}{40}=\frac{3}{h}

The proportion that could be used to solve for the variable is  \frac{16}{40}=\frac{3}{h}

Let us solve it to find h

∵  \frac{16}{40}=\frac{3}{h}

- By using cross multiplication

∴ 16 × h = 3 × 40

∴ 16 h = 120

- Divide both sides by 16

∴ h = 7.5

The value of h is 7.5 hours

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

#LearnwithBrainly

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A cereal box is an example of_____ and ________
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A cereal box is an example of a rectangular prism and a rectangle.
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
Akimi4 [234]

Answer:

673 people

Step-by-step explanation:

Statistics<3

Use the margin of error formula.

ME = t*\frac{s}{\sqrt{n} }

  • Margin of error or ME = 3
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  • Standard deviation or s = 39.7
  • Solve for n!

3 = 1.96*\frac{39.7}{\sqrt{n} }

3/1.96 = \frac{39.7}{\sqrt{n} }

1.531 = \frac{39.7}{\sqrt{n} }

39.7/1.531 = \sqrt{n}

25.937 = \sqrt{n}

25.937^2 = \sqrt{n}^2

672.7 = n

You need at least 673 people to be confident!

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