To be able to find the fraction of the cake that Jake ate if you know that he ate 55% of it, you have to turn the 55% into a fraction. To do this, first you have to divide the percent by 100:

55/100

Then, you have to simplify the fraction. In this case, you can do it by dividing by 5:

11/20

According to this, the fraction of the cake that Jake ate is 11/20.

8 0

2 years ago

Select the simplification that accurately explains the following statement.

Mariana [72]

<u>Answer</u>

<u>Explanation</u>

9⁽¹/²⁾² = (9⁽¹/²⁾)²

= 9¹/² × 9¹/² (Since the base are the same, we can add the power.)

= 9⁽¹/² ⁺¹/²⁾

= 9 ¹

= 9

The correct simplification is D.

8 0

3 years ago

What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)

kotegsom [21]

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

$l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}$

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

4 0

2 years ago