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trapecia [35]
3 years ago
12

Kelly can type 120 words in 3 minutes. at that ate, how many words can she type in 5 minutes?

Mathematics
1 answer:
madam [21]3 years ago
5 0
\frac{120\ \text{words}}{3\ \text{minutes}} = \frac{40\ \text{words}}{1\ \text{minute}}

\frac{40\ \text{words}}{1\ \text{minute}} \times \frac{5}{5} = \frac{200\ \text{words}}{5\ \text{minutes}}

Kelly can type 200 words in five minutes.
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100y−39,000=55(x−800)
hoa [83]

Answer:

y = 11/20x -50

Step-by-step explanation:

100y−39,000=55(x−800)

Distribute

100y−39,000=55x−44000

Add 39000 to each side

100y−39,000+39000=55x−44000+39000

100y = 55x -5000

Divide each side by 100

100y/100 = 55x/100 - 5000/100

y = 11/20x -50

This is slope intercept form

where 11/20 is the slope and -50 is the y intercept

4 0
3 years ago
In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordina
bonufazy [111]

Answer:

The correct option is;

r = √(x² + y²)

θ = tan⁻¹(y/x)

Step-by-step explanation:

The rectangular coordinate of a complex number on the complex plane is given as (x, y)

Given that the complex number is represented by a point on the plane, we have;

The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)

The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)

7 0
3 years ago
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Covering the brake can cut Reaction Time by what percent
Allisa [31]
The percebt decides what rate of change it js so okease give examples
6 0
3 years ago
If i^2 = −1 and x = i + 9, which is the result of squaring x?
Anestetic [448]

Answer:

80 + 18i

Step-by-step explanation:

i² = -1

x = i + 9

x² = (i + 9)²

Applying; (a + b)² = a² + 2ab + b² concept,

x² = i² + 18i + 81

We know that i² = -1

So x² = -1 + 18i + 81

x² = 81 - 1 + 18i = 80 + 18i

8 0
3 years ago
Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question: graph of x cubed minus 3 x squared minu
Marina CMI [18]

The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: (-1)^3-3(-1)^2-(-1)+3=0. That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y: (2)^3-3(2)^2-(2)+3=-3. The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points: \frac{-3-0}{2-(-1)}=\frac{-3}{3}=-1. Therefore, the average rate of change between x = -1 and x = 2 is -1

6 0
3 years ago
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