Answer:
His rate is 12 1/2 pages per hour.
Step-by-step explanation:
Given that,
Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,
Hence, his rate is 12 1/2 pages per hour.
Idk if this wil help but...
Let speed of Matthew be X yards/min Speed of Lowe = 3X yards/min.
Distance covered by Matthew in 30 minutes = 30X
Distance covered by Lowe in 30 minutes = 30(3X)= 90X
90X = 30X + 1200 X = 20 yards/min
Let speed of Matthew be X yards/min Speed of Lowe = 3X yards/min.
Distance covered by Matthew in 30 minutes = 30X
Distance covered by Lowe in 30 minutes = 30(3X)= 90X
90X = 30X + 1200 X = 20 yards/min
Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs 
and 
of a right triangle with the length of the hypotenuse h, according to the following equation:
In this problem, the distance is , while the other measures are 
, hence:
The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
The intersection point of the given lines is (1,1).
Step-by-step explanation:
Here, the given equations are:
y = - 2 x + 3
y = x
Substitute y = x in the first equation,
y = -2 x + 3 becomes y = -2 (y) + 3
or, y + 2 y = 3
or, 3 y = 3 ⇒ y = 3/3 = 1
⇒ y = 1
Now, as x = y ⇒ x = 1
Hence, the intersection points of the given lines is (1,1).
