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2 years ago

Write a number in each blank to make the statements true.

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

The complete statements are:

One pencil is worth 18 matches
Five paper clips are worth 15 matches
Three pencil and six paper clips are equal in value to 66 matches
Two pencil and nine paper clips are equal in value 66 matches

<h3>How to write a number in each blank to make the statements true.</h3>

The statements are given as:

Each paper clip can be traded for three matches.
Each pencil can be traded for six paper clips.

The above means that:

1 paper clip = 3 matches

1 pencil = 6 paper clips

Multiply 1 paper clip = 3 matches by 6

6 paper clips = 18 matches

So, we have the following equivalent ratios:

1 pencil = 18 matches

Multiply 1 paper clip = 3 matches by 5

5 paper clips = 15 matches

Using the above ratios, we have:

3 pencil = 54 matches

6 paper clips = 12 matches

Add the above equations

3 pencil + 6 paper clips = 66 matches

Also, we have:

2 pencil = 12 paper clips

9 matches = 4.5 paper clips

Evaluate the sum

2 pencil + 9 matches = 16.5 paper clips

Hence, the complete statements are:

One pencil is worth 18 matches
Five paper clips are worth 15 matches
Three pencil and six paper clips are equal in value to 66 matches
Two pencil and nine paper clips are equal in value 66 matches

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3 years ago

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Step-by-step explanation:

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3 years ago

Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

bija089 [108]

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

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Area of the sector = $\frac{\theta}{360}(\pi )(r)^2$

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3 years ago

Select the correct answer.

maks197457 [2]

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

$\frac{3n}{n + 3} + \frac{5}{n - 4}$

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

$\frac{3n}{n + 3} + \frac{5}{n - 4}$

Step 1: Take L.C.M of the denominators

$LCM = (n+3)(n-4)$

Step 2: Evaluate the fractions

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}$

Step 3: Open the brackets at the numerator

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}$

Step 4: Collect and evaluate like terms

$\frac{3n}{n + 3} + \frac{5}{n - 4}$ $= \frac{3n^2-7n+15}{(n+3)(n-4)}$

<em>Follow the above steps, and you'll be able to solve your question.</em>

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3 years ago

Which expression represents the phrase "15 less than the current amount"?

Leya [2.2K]

Answer:

C is the answer n is the current amount your just taking way 15

hope this helps

have a good day :)

Step-by-step explanation:

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3 years ago