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Katen [24]
3 years ago
6

Solve the proportion using cross products. Round to the nearest hundredth if necessary. 0.5/5 = 0.03/n

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0
\dfrac{0.5}{5}=\dfrac{0.03}{n}\ \ \ |\text{cross multiply}\\\\0.5\cdot n=5\cdot0.03\\\\0.5n=0.15\ \ \ |\cdot2\\\\n=0.3
vampirchik [111]3 years ago
5 0

Answer:

n = 0.3

Step-by-step explanation:

To solve the proportion using cross products, we will follow the steps below;

\frac{0.5}{5}  =  \frac{0.03}{n}

Cross - multiply

0.5 ×  n  =  0.03×5

0.5n = 0.15

Divide both-side of the equation by 0.5

\frac{0.5 n}{0.5}   = \frac{0.15}{0.5}

(On the left-hand side of the equation, 0.5 at the numerator will be cancel-out by 0.5 at the denominator leaving us with just n while on the right-hand side of the equation 0.15 will be divided by 0.5)

n = 0.3

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Answer:

<h2><u>x = 1</u></h2>

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Solve for : x 4(x+5)=3(x-2)-2(x+2)
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Hey there!!

In order to solve this equation, we will have to use the distributive property.

What is distributive property?

We will need to distribute one term to the other terms preset.

Example : 4 ( 3x - 1 )

sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1

( 4 × 3x ) + ( 4 × -1 )

12x + ( -4 )

= 12x - 4

This is after implementing the distributive property.

Now moving back onto the question

4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )

Let us first solve 4 ( x + 5 )

Distribute 4 to x and 5

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Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

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Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

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Now, let's get everything back together

4x + 20 = 3x - 6 - 2x - 4

Combine all the like terms

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Adding 10 on both sides

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Subtracting 4x on both sides

4x - 4x + 30 = x - 4x

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Dividing by -3 on both sides

30 / -3 = -3x / -3

- 10 = x

<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>

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3 years ago
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