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4 years ago

This equation has one solution. 5(x – 1) + 3x = 7(x + 1) What is the solution?

2 answers:

5 0

Open up the brackets
$5x - 5 + 3x = 7x + 7$
Collect like terms
$5x + 3x - 7x = 7 + 5$
Simplify
$8x -7x = 12$
$x = 12$
Therefore, your answer is 12.

TEA [102]4 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Distribute the parenthesis on both sides of the equation

5x - 5 + 3x = 7x + 7

8x - 5 = 7x + 7 ( subtract 7x from both sides )

x - 5 = 7 ( add 5 to both sides )

x = 12

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Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

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7 0

3 years ago

If the police have 9 suspects how many different ways can they select 5 for a lineup

kow [346]

Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.

C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4

The 5 terms cancel.

9*8*7*6 / 4*3*2 =
9*7*2 =
126

The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.

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3 years ago

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First move the 4y to the right and the 1 to the left:

4y=5x-1

Then divide everything by 4:

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