A hiker is walking down a mountain. She walked 5,978 feet in 17 minutes. In that time, she descended 1,024 feet from the top of the mountain. She then walked 3,972 feet in 7 minutes. In that time, she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as a unit rate.

Answers

Answer 1

first walk=descend of 1024 feet in 17 minutes
second walk=descend of 500 feet in 7 minutes

so in total she descended 1024+500=1524 feet in 7+17=24 minutes
as an average rate this equals 1524/24=63.5 feet/minute descended
or an average rate of -63.5 feet/minute in altitude (note the minus)

Answer 2

The average rate of change in altitude of the hiker from her starting point to her ending point is -63.5 feet per minute.

The following can be deduced based on the information provided in the question:

During the first walk, she descended 1024 feet and during the second walk, she descended 500 feet. Therefore, the total will be:

= 1024 feet + 500 feet = 1524 feet

During the first walk, the time taken was 17 minutes while for the second walk, the time taken was 7 minutes. Therefore, the total time taken will be:

= 17 minutes + 7 minutes

= 24 minutes.

Therefore, the average rate will be:

= 1524 / 24

= 63.5 feet per minute

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Related Questions

What's the distributive property for 16+48

Answers

the distributive property is when you have, for example, 2(1+3), and you multiply the 2 by both terms and add them together. so 2(1+3) = 2(1) + 2(3) = 2 + 6 = 8.

so with 16 + 48, to show the distributive property, you could divide by any common factor of 16 and 48. some correct ways to do this are:

16 + 48 = 2(8 + 24)
16 + 48 = 4(4 + 12)
16 + 48 = 8(2 + 6)
16 + 48 = 16(1 + 3)

you're just dividing 16 and 48 by the outside term to get the 2 numbers in the ( )

(10+40) + (6+8)= distributive property for 16+48

during a football game, kevin gained 5 yards on the first play. then he lost 7 yards on the second play. how many yard does kevin need on the next play to get the team back to where when they started? show your work.

Answers

5-7= -2
So to get back to 5 you need to first make the number positive so you will need to gain 2 points first making it equal . So then you need to get 5 more points to make it 5 .
So to sum it up I made the number positive when doing that your making it zero so then all you have to do is add the option Reginald number back in so here's my work

5-7= -2 -2 + 2= 0 0+5=5

Ps please rate me if u can

SIMPLE QUESTION PLEASE HELP :(
Solve for all roots of the equation. Show all work for full credit. x3 + 216 = 0

Answers

trying to factor as a Difference of Cubes:

1.1 Factoring: x3-216

Theory:

A difference of two perfect cubes,  a3 - b3 can be factored into
              (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =
            a3+a2b+ab2-ba2-b2a-b3 =
            a3+(a2b-ba2)+(ab2-b2a)-b3 =
            a3+0+0+b3 =
            a3+b3

Check:  216  is the cube of   6
Check: x3 is the cube of   x1

Final answer:

The solution to the equation x³ + 216 = 0 is x = -6, by subtracting 216 from both sides and taking the cube root.

Explanation:

To solve the equation x³ + 216 = 0, you must first isolate the variable on one side of the equation. To do this, we can subtract 216 from both sides, giving us the equation x³ = -216.

Next, to solve for x, we need to take the cube root of -216. The cube root of -216 is -6, so x = -6 is the root of the equation.

In conclusion, the solution to the equation x³ + 216 = 0 is x = -6.

Learn more about Algebra here:

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Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was Tia’s average rate on Sunday? A. 1600 meters per hour B. 1800 meters per hour C. 2000 meters per hour D. 2200 meters per hour
A.
3

B.
5

C.
15

D.
30

Answers

Saturday rate= 2400/1.5 which is 1600 meters per hour

Sunday rate =1800

Answer:

1800

Step-by-step explanation:

State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease . Round to the nearest whole percent

Original : $100
New : $59

Answers

Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing

what is the measure of jl

Answers

The measure of JL is:

A. 64

32 is the measure of JKL. By multiplying 32 by 2 you will get 64 which is the measure of JL

The measure of JL is A (64 degrees)

The ratio of boys to girls in the school chorus is 3:2. If there are 39 boys in the chorus, how many girls are in the chorus?

A) 36 girls
B) 26 girls
C) 24 girls
D)58 girls

Answers

your answer would be B 26 girls

Answer:

The answer is 36 girls because 3:2 is 13x3 which equals 39 and 12x3=36. The ratio is 39 boys to 36 girls.

Not 26 girls.

Addition and __?___ are operations you can use to join __?____?

Answers

Answer: The correct answer is:

Addition and multiplication are operations you can use to join equal groups.

Step-by-step explanation: Confirmed correct.

4. An angle of 200° is a/an _______ angle.

Answers

Hello There!

Angles under 90° are called acute angles
Angles that are 90° are called right angles
Angles that are between 90° and 180° are called obtuse angles
Angles that are 180° are called straight angles
Angles that are between 180° and 360° are called reflex angles.

An angle of 200° is a/an reflex angle.

Hope This Helps You!
Good Luck :)

- Hannah ❤

Reflex angle because straight is 180 and right is 90 and acute is less than 90
thanks hope this helps

what is the preimter and area of a rectangle that is 30 inchs long and 39 inchs wide

Answers

Multiple both numbers by 2 since there are 2 of them on a rectangle. After, add them.

30 x 2 = 60
39 x 2 = 78
60 + 78 = 138

And never forget to label your units!

The perimeter of the rectangle is 138 inches.

To get the area, multiply the sides by each other.

30 x 39 = 1170

The area of the rectangle is 1170 inches^2, or 1170 inches squared.

Perimeter is 138 (60*2+39*2)

Area is 1170 (30*39)

What happens to the arrangement of water molecules as ice melts?

Molecules release enough energy to move from their fixed positions.

Molecules release enough energy to escape as vapor.

Molecules gain enough energy to move from their fixed positions.

Molecules gain enough energy to escape as vapor.

Answers

I think its either b or c

Molecules gain energy to move from their fixed positions.

A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?

Answers

The customer would have to use 4 $10 bills, a $5 bill, 4 $1 bills, 3 quarters, 2 nickles and a penny.

A pronghorn antelope can travel 105 miles in 3 hours if it continues traveling at the same speed, how far could it travel in 11 hours?

Answers

you find average speed with distance/time

average speed is 35 mph

if you multiply is by 11 you get your answer which is 385 miles

Please help, need as soon as possible

Answers

An arithmetic sequence is one where you add (or subtract) a certain number to change the value. For the first sequence, it's clear that we subtract 4 every time, so that is arithmetic. Next, we constantly go from positive to negative, so we can be sure that we don't add the same number every time. For the third one, (-5.0-(-8.6))=3.6, and for -1.4-3.6 we get -5, showing that we add 3.6 for every value and the sequence is therefore arithmetic. For the fourth one,
(-3.1-(-6.2))=3.1, but -1.55-3.1 is not 3.1, showing that that is not arithmetic. For the last one, 3-(-3)=6, 9-3=6, etc. proving that you add 6 every time and the sequence is therefore arithmetic.

A movie theater has 24 screens. The ratio of action films to other film is 1:2 in the summer. How many action films are shown?

Answers

12:12 would be an even ratio of 1:1 but since you have a ratio of 1:2 you would take away half of the action movies and add it to the other category so the ratio would be 6:18 (1:2 if reduced) meaning 6 action films would be shown.

Answer:

8 action films being shown

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Based on this question we can see that the movie theater has 1 action movie for every 2 other type of movies. We can add these two numbers together and divide by 24 to find out how many action movies are playing compared to the other types of movies.

[tex]1 + 2 = 3[/tex]

[tex]24 / 3 = 8[/tex]

8 action movies : 16 other type of movies

As we can see from the adjusted ratio above, there are 8 action films being shown

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

There are 5 flower gardens in front of the building where Eddie works. Eddie has 40 red and 80 white flowering plants to put in the gardens. How many plants will be in each garden, if he plants the same number in each?

Answers

24 plants will be in each garden.

Five flower gardens with 120 plants to plant in the gardens.

120 / 5 = 24

24 plants will be in each garden.

0.12 or 1.2% which is greater

Answers

1.2% is the greater percentage.
0.12% isn’t a full percent, the decimal determines the greatness of the two

1.2% is the larger number

1.2% is the greater percentage than 0.12

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

We need to find 0.12 or 1.2% which is greater

0.12 isn’t a full percent, the decimal determines the greatness of the two number.

1.2% is the larger number.

1.2% = 1.2/100

= 0.012

Therefore, 1.2% is the greater percentage than 0.12

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How do you change an improper to a mixed numeral

Answers

Say you have 7/2 as your improper fraction. How many times does 2 go into 7? 3 Times with one left over. Your answer would be
3 1/2

Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

Write an inequality that represents the test scores of 60% of his students?

Answers

60% < 5 I hope i helped i didnt realy get it the quetion is unclear. the signal is also suppose to be a equal sign.

Answer:

[tex]70\leq x\leq 80[/tex]

Step-by-step explanation:

Let x represent the test scores of 60% of his students.

We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

We will use tolerance formula to solve our given problem.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

[tex]|x-75|\leq5[/tex]

Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:

[tex]-5\leq x-75\leq5[/tex]

[tex]-5+75\leq x-75+75\leq5+75[/tex]

[tex]70\leq x\leq 80[/tex]

Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.

A $1, $5, $10, $20, $50, or $100 bill is mapped to all the sets of coins that are the same as the total value of the bill.

IS THIS SITUATION A FUNCTION OR NOT???

Answers

Yes this is a function

which is an estimate of square root of 15 to one decimal place?

Answers

3.9 is the estimated square root of 15 to one decimal place

3.9 will be the estimate

Help me please I need better grades

Answers

Answers:
_______________________________________________________
Question 1: The answer is: " [tex] \frac{1}{6}[/tex] " .
_______________________________________________________
Question 2: The answer is: " -12.8 ".
_______________________________________________________
Question 3: The answer is: " 12.3 " .
_______________________________________________________
Explanation:
_______________________________________________________
Question 1:
_______________________________________________________
(-4/3) − (-3/2) = [tex] \frac{-4}{ 3} [/tex] + [tex] \frac{3}{2}[/tex] ;

→ The least common multiple (LCM) of the numbers "2" and "3" (which are the numbers in the denominators) is: "6" ; so we can convert each fraction value to the equivalent fraction with a denominator of "6" ;

→ [tex] \frac{-4}{3} [/tex] = [tex] \frac{?}{6} [/tex] ;

→ What value is the "?" ? ; → Look at the denominators.
→ (3 * ? = 6); → (6÷3 = 2).

→So; [tex] \frac{-4}{3} [/tex] = [tex] \frac{-4*2}{3*2} [/tex] ;
= [tex] \frac{-8}{ 6} [/tex] ;
_______________________________________________________
→ Now; → [tex] \frac{3}{2} [/tex] = [tex] \frac{?}{6} [/tex] ;

→ What value is the "?" ? ; → Look at the denominators.
→ (2 * ? = 6); → (6÷2 = 3).

→So; [tex] \frac{3}{2} [/tex] = [tex] \frac{3*3}{ 2*3} [/tex] ;
= [tex] \frac{9}{6} [/tex] ;
_______________________________________________________
Now, we can rewrite the problem:
________________________________
→ [tex] \frac{-8}{ 6} [/tex] + [tex] \frac{9}{ 6} [/tex] ;
= [tex] \frac{-8+9}{6}[/tex] ;
= [tex]\frac{1}{6} [/tex] .
_______________________________________________________
Question 2:
_______________________________________________________
" -3.9 − 8.9 " = - (3.9 + 8.9) = - 12.8 .
_______________________________________________________
Question 3:
_______________________________________________________
" 2.9 − (-9.4) " = 2.9 + 9.4 = 12.3 .
Note: Subtracting a negative number is "adding a positive number".
_______________________________________________________

what is 10% as a decimal?

Answers

Hi there!

10% as a decimal is 0.1

To find the decimal of a percentage, just divide the percentage by 100.

10/100 = 1/10 = 0.1

I hope this helps!

After m months, the height of a plant is 10+3m millimeters. How tall is the plant after 8 months? 3 years?

Answers

for 8 months it will be 34 mm. for 3 years it should be 118 mm

After 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

To find the height of the plant after 8 months and 3 years, let's first understand the pattern. The height is given by the equation ( 10 + 3m ), where ( m ) represents the number of months.

Height after 8 months:

Substituting ( m = 8 ) into the equation:

[tex]$ \text{Height} = 10 + 3(8) $[/tex]

[tex]$ \text{Height} = 10 + 24 $[/tex]

[tex]$ \text{Height} = 34 $[/tex] millimeters.

Height after 3 years (36 months):

Substituting ( m = 36 ) into the equation:

[tex]$ \text{Height} = 10 + 3(36) $[/tex]

[tex]$ \text{Height} = 10 + 108 $[/tex]

[tex]$ \text{Height} = 118 $[/tex] millimeters.

So, after 8 months, the plant is 34 millimeters tall, and after 3 years (36 months), it's 118 millimeters tall.

What could be the intersection of plane PRS and plane QRS?

A.
RS
←
→

B.
PR
←
→

C.
QS
←
→

D.
The planes need not intersect.

Answers

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS. So the answer choice is A.

use the subtraction property of equality to complete the following statement if RS + St = RT then RS =

Answers

Use the subtraction property of equality to complete the following statement if RS + St = RT then

RS = RT - ST

RS=RT-ST........ <3
Just you know one value you so make a problem with subtraction equal it.

How do you write 81/50 as a percentage?

Answers

so you take 81/50 x100 so 81/50=1.62.
1.62x100=162
=162%
hope this helps

pues hasta donde mi conocimiento me permite creo que 1.62%
si tenemos que tenemos una escala de 1 a 100%

Help what does this mean

Best answer I will mark as brainliest

Answers

It’s rooster nuts lol

Is it chicken seed?

I hope this helps!

plz help!
The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?

A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.

Answers

They are equal in length. Reflection does not change length.

ROTATION DOESNT CHANGE LENGTH

The Smiths spend 11% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $4,950 on entertainment. What was their total budget last year?

Answers

Hi,
11%= $4950
1%= $4950/ 11
= $450
100%= $450 x 100
= $45 000 (this year)
Last year= $45 000- $2000
= $43 000
Hope this helps:))

~Top

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