It is recommended that backpackers should carry no more than 20% of their body weight on long hikes and no more than 10% of their body weight on short hikes.
Part A
A hiker who weighs 160 pounds is planning a long hike. The weight of their backpack when packed with essential equipment is 15 pounds. Write an inequality to show how many pounds, p, the hiker can still add to their backpack and stay within the recommended weight.

Part B
A hiker who weighs 180 pounds is planning a day hike. The weight of their backpack when packed with essential equipment is 7.5 pounds. How much weight can the hiker still add to their backpack and stay within the recommended weight?
Place an X in the table to show whether each weight is within recommendation or not.
Within Recommendation Not Within Recommendation
9.25 pounds
15.75 pounds
29.5 pounds

Answers

Answer 1

Answer:

Step-by-step explanation:

9.25 pounds


Related Questions

HELPPPPPPP PLEASEEEEE

Answers

Answer:

5^15

Step-by-step explanation:

if they have the same base then you add the two top vaules therfore giving you c.

Brainliest plzzzzzzz

4000
Amount
saved ($)
2000
o
6
2. 4
Months in plan
The graph shows the activity in a savings account.
a. What was the amount of the initial deposit that started this savings account (don't use commas)?$
b. Find the slope.
c. Find the y-intercept.
d. Write an equation in slope-interce
form for the activity in this savings account.

Answers

Answer:

$1000 ; 500 ; 1000 ; y = 500x + 1000

Step-by-step explanation:

From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.

The slope :

x1 = 0 ; y1 = 1000

x2 = 6 ; y2 = 4000

Slope = Rise / Run

Rise = y2 - y1 = 4000 - 1000 = 3000

Run = x2 - x1 = 6 - 0 = 6

Hence,

Slope = 3000 / 6

Slope = 500

y - intercept = 1000 (from. Graph)

Equation in slope intercept form:

General form : y = mx + c

m = slope ; c = intercept

Equation is written as ;

y = 500x + 1000

28 POINTS!!!!!! Solve for x. Please Help

Answers

The correct answer is the first option which is negative 2

Answer:

The third choice, [tex]x\leq -8[/tex]

Step-by-step explanation:

One way to do it is to substitute in the potential answers. I'll show you here.

Choice 1

[tex]2(-2)+3\leq (-2)-5[/tex]

[tex]-4+3\leq -2-5[/tex]

[tex]-1\leq -7[/tex]

We can see that this is false, so the answer cannot be choice 1.

Choice 2

[tex]2(2)+3\leq (2)-5[/tex]

[tex]4+3\leq 2- 5[/tex]

[tex]7\leq -3[/tex]

This is also false, so the answer cannot be choice 2.

Choice 3

[tex]2(- 8)+ 3\leq (-8)-5[/tex]

[tex]-16+3\leq -8-5[/tex]

[tex]-13\leq -13[/tex]

This is true. Let's see if choice 4 works.

Choice 4

[tex]2(8)+3\leq (8)-5[/tex]

[tex]16+3\leq 8-5[/tex]

[tex]19\leq 3[/tex]

This is not true. Therefore, 3 is correct.

You went bowling last weekend with your friends, and you had to pay $42.75 in total to rent your shoes and play multiple games. If the shoes cost you $9.00, and you paid $6.75 per game, how many games did you bowl?​

Answers

Answer:

5

Step-by-step explanation:

42.75 - 9 = 33.75 (shoes)

33.75/6.75= 5 games

Answer:

Im d u m b

Step-by-step explanation:

A cooler contains bottles of orange juice,apple juice and grapefruit juice in the ratio of 3:4:3. There are 960 bottles of orange juice in the cooler Calculate the number of bottles of apple juice that are in the cooler

Answers

Answer:

1280

Step-by-step explanation:

The first 3 part of the ratio corresponds to 960 bottles of orange juice

Dividing 960 by 3 gives the value of one part of the ratio.

960 ÷ 3 = 320 ← value of 1 part of the ratio, then

apple juice = 4 × 320 = 1280 bottles

7th grade math help me please :)

Answers

Answer:

7x + 1 and 2a - 1

Step-by-step explanation:

(a)

2x + 1 + 5x ← collect like terms

= (2x + 5x) + 1

= 7x + 1

(b)

- 3a + 2 + 5a - 3 ← collect like terms

= (- 3a + 5a) + (2 - 3)

= 2a + (- 1)

= 2a - 1

What is the slope of the line y = 2x + 5?

Answers

Hello! (:

y=2x-5

This equation is written in slope-intercept form (y=mx+b)

Where

m is the slope of the line (2)

b is the y-intercept (5)

Hope it helps! Please ask if you have any query.

~An excited gal

[tex]MagicalNature[/tex]

The slope of the line y = 2x + 5 is 2 obtained by comparing it with slope intercept form y=mx+b, where m is slope.

The slope represents the rate at which the line is increasing or decreasing as you move along the x-axis.

The slope of a linear equation in the form y = mx + b is represented by "m."

In this case, "m" is 2, which means the slope of the line y = 2x + 5 is 2.

Since the slope is positive (2), it means that as x increases by 1 unit, y increases by 2 units, and as x decreases by 1 unit, y decreases by 2 units.

The slope of 2 indicates that the line is inclined, and it rises at a steady rate of 2 units for every 1 unit moved to the right along the x-axis.

Hence, slope of the line  y = 2x + 5 is 2.

To learn more on slope of line click here:

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Please help!!! I’ll mark brainliest!! (Look at picture)

Answers

Answer:

[tex]\huge\boxed{\sf (x*4) + (x*5) = 54}[/tex]

Step-by-step explanation:

[tex]\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Will mark brainliest

A team spent 20 minutes on passing drills and 40 minutes on shooting drills.
What is the ratio of time spent on shooting drills to time spent on passing drills?




1 to 3

3 to 1

2 to 1

1 to 2


Paul's Pizzeria sells 45 cheese pizzas and 20 pepperoni pizzas each week.

What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?




4:2

3:1

9:4

9:2

Which simplified ratio correctly compares 12 yards to 20 feet?

3:5

5:3

5:9

9:5

Answers

Answer:

1. 1 to 2        2. 9 to 4              3. 5 to 3

Step-by-step explanation:

Its just half which is one to 2, this one is pretty simple, so trust me

you just find the highest number that can go into both ones.

12 yards and 20 feet, one yard in 3  feet

Answer:

the ratio is 20

Over 40

Step-by-step explanation:

it’s logical I got it correct and you just put them together

Help me with this pls

Answers

Answer:

Add em both and set em equal to 180

20+(6x-2)=180

18+6x=180

6x=162

X=27

Answer:

6x-2+20=90

or,6x+18=90

or,6x=90-18

or,6x=72

or,x=72÷6

x=12

You might need:
Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =

Answers

Answer:

x = -11, x = 11

Step-by-step explanation:

Zeros are when g(x) = 0:

[tex]0=4x^{2} -484[/tex]

[tex]0=4(x^{2} -121)[/tex]

[tex]0=x^{2} -121[/tex]

Factor:

[tex]0=(x-11)(x+11)[/tex]

[tex]0=x+11, 0=x-11[/tex]

[tex]x=-11, x=11[/tex]

3x-2=-29

what is x in this equation?

Answers

-9 is x

mark me brainliest if the answer is correct, thank you in advance :)

If given f(x) = –4x – 2 and g(x) = 2x, what is (f · g)(x)?

A.
(f · g)(x) = –6x – 4
B.
(f · g)(x) = –8x2 – 4x
C.
(f · g)(x) = –6x – 2
D.
(f · g)(x) = –16x2 – 4x

Answers

Step-by-step explanation:

Given

f(x) = - 4x - 2

g(x) = 2x

(f • g) (x) = ?

We know

f(g(x)) = f ( 2x )

= - 4 ( 2x ) - 2

= - 8x - 2

1. What is your Hogwarts house?
2. Draco or Remus Lupin?
3. Dum.bledore or Serius Black?
4. Do you like K-POP?
5. (Optional) Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 01.d + 0.25 q = 12.5. If Jada has 4 quarters, how many dimes does she have?
6. What's your favorite song?
7. Recommend aesthetic songs.
8. Give me a name.
9. Harry or Ron?
10. Hermione or Ginny?

Answers

1. Maaf saya gak tahu

2. Benar

3. Salah

4. Jurang

5. Kurang

6. Tujuh

7. Delapan

8. Sembilan

9. Sepuluh

10. Aku Cinta Kamu^_^

Look at the graph shown below:

Which equation best represents the line?

A: y = 1 over 3 x - 1

B: y = 3x - 1

C: y = -x + 1 over 3

D: y = 3x + 1

Answers

B: y=3x-1 because the slope is 3 and passes thru y axis at -1

The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He then paid 8% sales tax on the discounted price.

Part A: What is the percent discount on the game? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Mario paid for the video game including tax? Show all work and steps in your solution.

Answers

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = [tex]\frac{Amount\ of\ discount}{Original\ price}*100[/tex]

Discount percent = [tex]\frac{6.60}{32.99}*100 = 0.20*100[/tex]

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = [tex]\frac{8}{100}*26.39 = 0.08*26.39[/tex]

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for
answers that contain pi.

Answers

Answer:

D. 125π km³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

radius, r = 5 km

Height, h= 5 km

Volume of a cylinder = πr²h

= π × (5 km)² × 5 km

= π × 25 km² × 5 km

= 125π km³

The answer is D. 125π km³

Each table shows a proportional relationship between x and y. Match each table with its constant of proportionality.
x y

1 20

2 40

3 60

x y

2 80

8 320

12 480

x y

2 0.4

4 0.8

9 1.8

x y

7.5 4.5

10 6

17.5 10.5

0.6

arrowRight

0.2

arrowRight

20

arrowRight

40

arrowRight




Pls help:( HELP

Answers

As table shows a proportional relationship between x and y then constant of proportionality are 20, 40, 0.2 and 20 respectively

In the first table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.

In the second table, the constant of proportionality is 40 because each value of y is obtained by multiplying the corresponding value of x by 40.

In the third table, the constant of proportionality is 0.2 because each value of y is obtained by multiplying the corresponding value of x by 0.2.

In the fourth table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.

To learn more on Constant of proportionality click:

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What does sas stand for

Answers

Answer: Statistical Analysis System

Step-by-step explanation:

I = $60, P = $750, r = 4%, t = ?. Find the amount of time.

Answers

Answer:

you need to be more specific.

I ONLY need help with the tables ONLY! I’LL GIVE BRAINLIEST FOR THE RIGHT ANSWER?! I please include what you did for both tables please.

Answers

Answer:

The first table.

Step-by-step explanation:

Every single time, the x is being multiplied by 3 to get the y, and that means its proportional. Also, the second one is for sure NOT proportional

The amount of increase , divided by the original amount, equals the ____of increase

Answers

Answer: percent

Step-by-step explanation: i know stuff and btw i hope this helps

will give brainlest 5 stars and thanks

Answers

Answer:

96m

Step-by-step explanation:

L x W= A

12x8=96m

Answer:

above the 8 it would be another 8 then to the  side it would be a 12 the ad them all up together or like this 8+8 =16    and 12+12=24       16+24 is 40

Step-by-step explanation:

What is HJ + JM?

The number line from minus four to four by increment of one and each tick mark is labeled. In this number line point minus four is also labeled as G, minus three is labeled as H, minus two is labeled as I, minus one is labeled as J, zero is labeled as K, one is labeled as L, two is labeled as M, three is labeled as N, and four is labeled as O.

Answers

Answer:

HJ + JM = 5

Step-by-step explanation:

The number line is majorly used to show the positions of directed numbers. For the given question, the number line has the required points as shown in the attachment to this answer.

From the number line,

HJ = -1 - (-3)

    = -1 + 3

    = 2

HJ = -2

JM = 2 - (-1)

     = 2 + 1

     = 3

Thus,

HJ + JM = 2 + 3

              = 5

HJ + JM = 5

sinA.secA
__________ = tan²A
cosecA.cosA​

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to show that the left hand side equals the right hand side

We can express the left hand side as:

sin A/ cos A * sec A/cosec A

kindly recall that;

sin A/cos A = tan A

Also;

sec A = 1/ cos A

cosec A = 1/ sin A

Thus, we have that ;

tan A * 1/cos A / 1 / sin A

= tan A * sin A/cos A

This is;

tan A * tan A = tan^2 A

Simplify (4x - 6) + (5x + 1). (1 point)
-X-5
9x + 5
9x - 5
Ох
x - 5

Answers

Answer:

9x-5

Step-by-step explanation:

Add the common values together:

(4x-6)+(5x+1)

4x+5x -6+19x-5

Answer:

|

2

|

+

2

 

2

3

x

1

2

Step-by-step explanation:

Jenny purchased a prepaid phone card for $30.Long distance calls cost 12 cents a minute using this card. Jenny used her card only once to make a long distance call. If the remaining credit on her card is $24.84, how many minutes did her call last.​

Answers

Answer:

43 min

Step-by-step explanation:

subtract $24.84 from $30 and you get $5.16 and you divide that by 12 cents which then you get 43 min

Sarah started collecting coins last year.

She already collected 58, when she received another 21 from her parents.

She is expecting to get 12 more for her birthday next week.

How many coins is she going to have at the end of next week if her expectation is right?

Answers

Answer:91 coins

Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91  coins in total.

Hope it helps :)

giving brainleyest

The table shows input and output values which table represents functions

Answers

Answer:

Option d) : Neither A nor B

Step-by-step explanation:

To determine if it is a function, check if any x value repeated. For it to be a function, every x value should only be paired with one value

In both the table you can see that values are paired with more than one value meaning they aren't function...

Hope this helps u... ^_^❤️

Solve the system of linear equations by elimination.

3x−30=y
7y−6=3x

please explain

Answers

Answer: y = 6; x = 12

Step-by-step explanation:

3x - 30 = y

Change this into an equation where x and y are in the same side.

3x - 30 = y

Subtract y from both sides

3x - y - 30 = 0

Add 30 to both sides

3x - y = 30

7y - 6 = 3x

Do the same thing I did to the first equation

7y - 6 = 3x

Subtract 3x from both sides

-3x + 7y - 6 = 0

Add 6 to both sides

-3x + 7y = 6

We can now use the system of elimination to find x and y.

3x - y = 30

-3x + 7y = 6

After adding both equations, you get:

6y = 36

Divide 6 from both sides

y = 6

Since we now know y, we can solve for x.

3x - 30 = y

Substitute y for 6

3x - 30 = 6

Add 30 to both sides

3x = 36

Divide both sides by 3

x = 12

Hope this helped!

Answer:

[tex]x = 12.y = 6[/tex]

Step-by-step explanation:

Restructuring

[3x - 30 = y

-3x - 6 =7y

[tex] \frac{ - 36}{ - 6} = \frac{ - 6y}{6} [/tex]

y=6

Sub 6 in equ II

7(6)-6=3x

[tex] \frac{36}{3} = \frac{3x}{3} [/tex]

x=12

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Carol had a previous balance of $557.83 in her checking account. She deposited checkstotaling $882.84, made cash withdrawals of $325.00, and wrote checks totaling$617.77 that were paid by the bank. She also earned interest of $1.15. What is herpresent balance?(Present Balance = Previous Balance + Deposits - Withdrawals - Service Charges/Fees+ Interest)c) $496.75b) $499.05a) $2.384.59d) $1.149.05 HELP 10 POINTSQue hars maana?A. HarB. HarC. HagaD. HazQue hiciste ayer?A. Yo ir a B. Yo iba a C. Yo voy a D. Yo fui a Que hacas de nio? A. Yo jugueB. Yo jugabaC. Yo juego D. Yo habr jugado why is it bad to play ROLE PLAYING VIDEO GAMES? misconceptions teachers have about technology I material development Please help its called Writing Equations You have read two texts about Deborah Sampson, "America's First Woman Soldier" and "Secret Soldier." Write an essay examining the differences presented in the two texts about Deborah Sampson's motivation to serve as a soldier and her legacy. Using details from both texts, analyze the evidence each author uses to support his or her claims. Why are salt solutions not used to treat the roads during snow events when the temperature is below -15 degrees Celsius? *A. Salts are nonelectrolytes and do not demonstrate the Van't Hoff Factor. Therefore the freezing point cannot be depressed lower than -15 C.B.The solubility of a salt will decrease with decreasing temperature making it even more difficult to concentrate a solution. The maximum quantity that can saturate a solution and attain the maximum molality that aligns with solubility values at that low of a temperature cannot provide the multiplier high enough to depress the freezing point to temperatures below -15 C.C.Salt has a maximum molality of 0.6m.D.Salts can melt ice but cannot prevent freezing. Can someone please help me anyoneeeee Please help me with this math problem if you can. You just say yes or no if its a square, rectangle, etc. and then give the reason why As president of the soccer club, Joey had to order pins for the entire club. He knew there were 96 boys in the club, but did not know the number of girls. The coach told him that the ratio of girls to boys was 2:3. How many pins did Joey have to order?a.64 pins c.144 pinsb.160 pins d.192 pins HELP PLEASE WILL GIVE BRAINLIEST! Find the mass of an object that has a density of 1.5 g/cm^3 and has a volume of 8 cm^3 Subtract - 3x 8 from 4x2 7x 2. Write the expression in standard form. 28m 7m Which one of the following rating scale measure both direction and the intensity of the research attributes?Graphic rating scale.Itemized rating scale.Staple rating scale.Fixed or constant sun rating scale. John Brought 75 shares of HCC stock and 150 Sharesof BWB stock. Last year HCC paid a dividend of $285 per shareand Bwb paid a dividend of $2.0t per share. What was the totaldividend that John Received ? how could i create a real life example that can be modled by the expression 2x7 A paper publisher in a medical journal reported that about 11/25 of girls ages 16 to 17 did not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise? it is a quicker wlatz that incorporates continuous turning around the floorA.tangoB.waltzC.jiveD.viennese waltz Someone help me do this please. I included a picture. Simplify the following expression:5a2 + 3b - 4 - 9a2 + 6