Show different ways you can make 7502 using hundreds tens and ones

The options presented are:

(1) division property of equality

(2) factoring the binomial

(3) completing the square

(4) subtraction property of equality

Response: (2) factoring the binomial

Step 1:

Step 2:

In step 2, 'a' is extracted from . Upon factoring out 'a', we divide all terms by 'a', resulting in .

Step 2 involves the binomial factorization process.

<span>Which formula can be applied to find the side length of the rhombus?

 The correct answer is the first choice: 10/Cos(30°)

 Explanation:

 1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:

 Cos(</span>α)=Adjacent side/Hypotenuse
<span>
 </span>α=30°
<span> Adjacent side=(20 in)/2=10 in
 Hypotenuse=x

 2. Inputting these numbers into the equation yields:
</span>
 Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x

 3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:

 x=10/Cos(30°)
</span>

X = 28

there are two similar triangles with a scale factor of 1/7.

Answer:

40 * x - 600 = 0

Step-by-step explanation:

Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:

2400 - 1800 = 40 * x

rearranging leads to

40 * x - 600 = 0

This equation describes the situation above

Solution:

30% of the workforce consists of managers.

Explanation:

Given that there are 80 employees, out of which 24 are managers, we need to determine what percentage this represents.

This percentage can be calculated using the formula below:

By plugging in the known values, we have:

Thus, 30% of the employees are managers.