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3 years ago

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

Mathematics

1 answer:

Allushta [10]3 years ago

5 0

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

( 4 × x ) + ( 4 × 5 )

4x + 20

Now let's solve 3 ( x - 2 )

Distribute 3 to x and -2

( 3 × x ) + ( 3 × - 2 )

3x - 6

Solve for -2 ( x + 2 )

Distribute -2 to x and 2

( -2 × x ) + ( -2 × 2 )

-2x - 4

Now, let's get everything back together

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

Combine all the like terms

4x + 20 = x - 10

Adding 10 on both sides

4x + 20 + 10 = x - 10 + 10

4x + 30 = x

Subtracting 4x on both sides

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

30 = -3x

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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Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.

Sauron [17]

Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

$2x=8+y$

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

$x+2y=14$

To find the value of y, let us solve the two equations using substitution method.

From the equation $2x=8+y$ , let us find the value of x.

$x=\frac{8+y}{2}$

$x=\frac{8}{2} +\frac{y}{2}$

$x=4+\frac{y}{2}$

Now, substituting $x=4+\frac{y}{2}$ in the equation $x+2y=14$ , we get,

$4+\frac{y}{2}+2y=14$

$4+\frac{5y}{2} =14$

$\frac{5 y}{2}=10$

$5y=20$

$y=4$

Thus, the value of y is $y=4$

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3 years ago

1. Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How man

Inessa05 [86]

1. 360*0.40=144
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2. you need to do new to old
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so you need to do 799 divided by 100=7.99
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Answer:

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FromTheMoon [43]

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A roster for a baseball team has 12 players. the coach is randomly making the batting order for 9 players. what is the probabili

andrey2020 [161]

The probability of you being the leadoff hitter is <span>8.3%.</span>

Explanation:

The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.

Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600

The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800

The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span>   = 6652800 / 79833600
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Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.

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