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Anna [14]
3 years ago
12

Convert the following sentence into an algebraic expression: a number increased by 5

Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer:

x + 5

Step-by-step explanation:

Let x be the unknown number. Increased means adding, so you add 5 to the unknown number.

Resulting in x + 5

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The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
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We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

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