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Andreas93 [3]
3 years ago
15

Please help! Will give brainliest to correct answer

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

We can solve it through proportionality or ratios

  • 2 lamps required to create 4signals

Let lamps required to create 60signals be x

Now

\\ \sf\longmapsto 2:4=x:60

\\ \sf\longmapsto \dfrac{2}{4}=\dfrac{x}{60}

\\ \sf\longmapsto 4x=60(2)

\\ \sf\longmapsto 4x=120

\\ \sf\longmapsto x=\dfrac{120}{4}

\\ \sf\longmapsto x=30

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Read 2 more answers
Evaluate the expression 5^x- 3^x5 x −3 x 5, start superscript, x, end superscript, minus, 3, start superscript, x, end superscri
yaroslaw [1]

Question:

Evaluate the expression 5^x - 3^x for x=2

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

Given

5^x - 3^x

x=2

Required

Evaluate

When fazed with question like this all you need is to substitute the value of x (or any other variable{s} used) in the expression.

Recall that x = 2

So, you have to substitute 2 for x in 5^x - 3^x

This gives

5^2 - 3^2

This can be further solved in 2 ways

1. Solve directly

5^2 - 3^2

= 25 - 9

= 16

2. Expand using difference of two squares.

Difference of two squares is represented by

a^2 - b^2 = (a + b) (a - b)

By comparison

5^2 - 3^2 becomes

5^2 - 3^2 = (5 + 3) (5 - 3)

5^2 - 3^2 = (8) (2)

5^2 - 3^2 = 8 * 2

5^2 - 3^2 = 16

For both ways, we'll arrive at the same answer.

Hence, 5^x - 3^x for x=2 is 16

5 0
3 years ago
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