1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
likoan [24]
3 years ago
12

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

fter that, he hikes down at the same rate to the base of the mountain. The equation that can be used to find the number of hours, t, after which Jamie’s distance from the peak will be 900 feet is -blank-. Jamie will be 900 feet from the peak after -blank- hours and after -blank- hours.
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

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.

You might be interested in
Given the function Y=2x-3 complete the table
Irina18 [472]

y=mx+b plus in slope and you get your answer

6 0
3 years ago
How do u solve this pls help
Leni [432]

Answer is in the picture.

4 0
2 years ago
Molly is converting 2 yards to millimeters. Will the number of millimeters be fewer than or greater than 2?
ololo11 [35]
Greater than.

yards are a larger unit of measurement, so to convert it there are more millimeters to count the same amount of space.
7 0
2 years ago
Could someone answer and explain these please? Thank you!
Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
masha68 [24]

Answer:

5-7 x = 2

Step-by-step explanation:

a number times negative seven added to five equals two

7 0
3 years ago
Read 2 more answers
Other questions:
  • $2,500 {(1/.005) - [1/.005(1.005)12 ×25]}
    9·1 answer
  • Find the slope containing the points (5, 2) and (1, 6)
    9·1 answer
  • Evaluate the expression 14.3 minus 2 times 5 to the 2nd power divided by 5
    9·2 answers
  • Ples helpe me its math
    10·2 answers
  • A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³. What is the scale factor? Enter your answer, as a decimal
    13·2 answers
  • If 16 cups equals one gallon than one 1/4 gallon equal cups
    14·1 answer
  • I can make 6 pancakes with 2 eggs, 1 1/2 cup milk and 1/3 cup pancake mix. If I have five eggs, 1 1/2 cups pancake mix, and 2 pi
    5·1 answer
  • HELLPP MEE PLEAASSEEE!!????
    5·2 answers
  • The perimeter of a rectangle is 48 inches. The length of the rectangle is 3 times the width of the rectangle. What is the area o
    7·1 answer
  • Identify quadrilateral ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!