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vampirchik [111]
3 years ago
14

What are equivalent expression for 6x+1-(3x-1)

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

3x + 2

Step-by-step explanation:

6x + 1 - (3x-1) < distribute the negative sign into the expression

6x + 1 -3x + 1 < combine like terms

6x - 3x = 3x

1 + 1 = 2

our simplified expression is:

3x + 2

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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

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3 years ago
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