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scZoUnD [109]
2 years ago
7

on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed i

n miles per hour
Mathematics
1 answer:
My name is Ann [436]2 years ago
5 0

Answer:

Her speed is of 2 miles per hour.

Step-by-step explanation:

Velocity:

The velocity is given by the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance and t is the time.

2/3 mile in 1/3 hour .

This means that d = \frac{2}{3}, t = \frac{1}{3}

Which unit rate describes antoinettes speed in miles per hour?

This is v. So

v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2

Her speed is of 2 miles per hour.

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Mice21 [21]
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The point would be (-5,-14)
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Hope this helps. 

7 0
3 years ago
Write an equation in slope - intercept form for the line that satisfies each set of conditions
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

Parallel lines have equal slopes, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - \frac{3}{2} x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - \frac{1}{2} x + 4 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

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y = 2x - 12 ← equation of line

3 0
3 years ago
Read 2 more answers
What is the circumference of circle p ? Express in terms of pie
SVETLANKA909090 [29]
The circumference of a circle is calculated using the following equation:

C= \pi d

Where d is equal to the diameter (the length of a straight line from one side of the circle to the other side).

We know that the diameter of the circle given (also known as AB) is equal to 20 cm.

We can then plug this into the equation and solve for the circumference:

C= \pi (20)

Since the question asks for the answer to be in terms of \pi, this is as far as we need to go. So the circumference of the circle is: 20 \pi or D.
5 0
3 years ago
What should the following rate be divided by to convert it to a unit rate?<br> 6 inches<br> 12 hours
iragen [17]

Answer:

0.5 Inches per hour

Step-by-step explanation:

Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!

This is a fraction equal to

6 inches ÷ 12 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 12

6 inches ÷ 12

12 hours ÷ 12

=  

0.5 inches

1 hour

=  

0.5 inches

hour

= 0.5 inches per hour

Glad I was able to help!

7 0
3 years ago
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