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12345 [234]
3 years ago
13

Graph the system of equations on your graph paper to answer the question. {y=−x+4y=x−2

Mathematics
1 answer:
Rudik [331]3 years ago
3 0
This is the graph that I drew to figure out the answer to this question.

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Jamie is hiking up a small mountain. He climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. A
aleksandr82 [10.1K]

Answer:

a. d = 1500 - 300t. b. after 2 hours and after 4 hours

Step-by-step explanation:

a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t  is given by

d = 1500 - 300t.

b.If Jamie distance d = 900 ft, then the equation becomes,

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

The equation d = 1500 - 300t. also models his distance from the peak of the  mountain if he hikes down at a constant rate of 300 ft/hr

At d = 900 ft, the equation becomes

900 = 1500 - 300t

900 - 1500 = -300t

-600 = -300t

t = -600/-300

t = 2 hours

So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.

So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.

4 0
3 years ago
On a calendar of 31 days what are the prime numbers
zepelin [54]
I believe <span>2   3   5   7   11   13   17   19   23   29   31</span>
5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (4, 5) and (12, 7)?
blondinia [14]

Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

3 0
3 years ago
will associative property work for 4(m+3+5m)? if so show how it will look like after you use associative property
Roman55 [17]
It would be like 4m+12+20m
4 0
4 years ago
Read 2 more answers
75% of the children at Fisher Elementary walk to school. If there are 200 students at Fisher Elementary, how many walk to school
BlackZzzverrR [31]

Answer: 150 students walk to school

Step-by-step explanation: 75%=0.75

200 multiplied by 0.75

 200×0.75=150 students

            Or

75%=3/4

3/4 of the children walk to school

3/4×200=3/4×200/1=150

4 0
3 years ago
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