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Gelneren [198K]
2 years ago
13

Alana walks east 4/9 mile to school every morning. On saturday, she walked to a friend's house, which is 1/3 mile farther east f

rom her school. How far did Alana walk to her friend's house on Saturday?
Mathematics
1 answer:
frutty [35]2 years ago
5 0

Answer:

4/27

Step-by-step explanation:

You just add 4/9 + 1/3 = 4/27 and I believe there is no way to simplify.

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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
tigry1 [53]

The vector <em>v</em> (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling <em>v</em> by an arbitrary real number <em>t</em>.

The line through point <em>P</em> and pointing in the same direction as <em>v</em> is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector <em>p</em> that points to (-4, 5, 2), so the vector equation for this line is

<em>r </em>(<em>t </em>) = <em>p</em> + <em>t v</em>

<em>r </em>(<em>t </em>) = (-4, 5, 2) + <em>t</em> (-6, 6, -5)

<em>r </em>(<em>t </em>) = (-4 - 6<em>t</em>, 5 + 6<em>t</em>, 2 - 5<em>t</em> )

To get the parametric equations, simply take out the components:

<em>x</em> (<em>t</em> ) = -4 - 6<em>t</em>

<em>y </em>(<em>t</em> ) = 5 + 6<em>t</em>

<em>z</em> (<em>t</em> ) = 2 - 5<em>t</em>

4 0
3 years ago
A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
vivado [14]

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

6 0
2 years ago
Help plz I need big help someone plz help me with this question!
ozzi

Answer:

Step-by-step explanation to be honest probably 12 if not i’m so sorry

3 0
2 years ago
Which of these numbers is prime?<br> 25, 26, 35, 39, 43
ELEN [110]

Answer:

The only number prime is 43

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mai and Jada are both running on a treadmill. Mai travels 5 miles in 15 minutes. Jada travels 4 miles in 14 minutes. Who ran at
sasho [114]

Answer:

Mai

Step-by-step explanation:

To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.

Mai: 5 miles / 15 minutes = 1/3 miles per minute

Jada: 4 miles / 14 minutes = 2/7 miles per minute

Then, use a common denominator to make calculations easier:

Mai: 1/3 * 7/7

Jada: 2/7 * 3/3

You should get:

Mai: 7/21 miles per minute

Jada: 6/21 miles per minute

By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.

3 0
3 years ago
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