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.

Answers

Answer 1

Answer:

10= hikers 160= pounds carried in items or gear X divided by P = amount of pounds of items each hiker carries.

x=10 P=160

Step-by-step explanation:

i cant see part B

Answer 2

Expressions can be represented as equations or inequalities

The inequality that represents the additional weight is: [tex]\mathbf{p \le 17}[/tex]The hiker can add additional 19.5 pounds

(a) Long hike

The hiker's weight is given as:

[tex]\mathbf{Weight =160}[/tex]

The hiker is embarking on a long hike, the recommended weight (x) of the backpack is calculated as:

[tex]\mathbf{x = 20\% \times 160}[/tex]

[tex]\mathbf{x = 32}[/tex]

The hiker's backpack weighs 15 lb.

So, the inequality that represents the additional weight is:

[tex]\mathbf{p + 15 \le 32}[/tex]

Subtract 15 from both sides

[tex]\mathbf{p \le 32 - 15}[/tex]

[tex]\mathbf{p \le 17}[/tex]

(b) Day hike

The hiker's weight is given as:

[tex]\mathbf{Weight =180}[/tex]

The hiker is embarking on a day hike (i.e. short hike), the recommended weight (x) is calculated as:

[tex]\mathbf{x = 15\% \times 180}[/tex]

[tex]\mathbf{x = 27}[/tex]

The hiker's backpack weighs 7.5 lb.

So, the additional weight the hiker can add is represented as:

[tex]\mathbf{p + 7.5 = 27}[/tex]

Subtract 7.5 from both sides

[tex]\mathbf{p = 27 - 7.5}[/tex]

[tex]\mathbf{p = 19.5}[/tex]

Hence, the hiker can add additional 19.5 pounds

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help me finding the inverse function of this problem

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Answer:

you got it right it is C

Step-by-step explanation:

ur welcome

Problem ID: PRAQW2K
Which of the following fractions converts to a repeating decimal?
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Answer: 11/12

Step-by-step explanation:

What property of operations will be used to simplify the product of a binomial and trinomial? *

Answers

Answer:

Distributive property.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Hence, the distributive property is used to simplify the product of a binomial and trinomial.

For example, let's find the product of (2x + 4)(5x² + 3x + 10)

First of all, we would distribute trinomial into each of the term in the binomial.

2x(5x² + 3x + 10) + 4(5x² + 3x + 10)

Distributing the monomial into the trinomial, we have;

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10x³ + 6x² + 10 + 20x² + 12x² + 40

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b) Simplify 9y - 6y + y

Answers

Answer:

The answer is 4y

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Could I perhaps get brainly?

Answer:

4y

Step-by-step explanation:

9y-6y= 3y

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There you go :)

Evaluate the expression when x2 and y=-6

Answers

Answer:

6

Step-by-step explanation:

At one of my first jobs, I made $5 per hour. Make a prediction about how much I would have made if I worked for 32 hours in week.

Answers

If you worked 32 hours in a week u would have 160.

Answer:

160

Step-by-step explanation: 5 times 32 is 160

Slope!! Need help thank you!!

Answers

Answer:

d)

Step-by-step explanation:

slope is rise over run the rise is 1 and the run is 4

I’m not the best at slopes but I think it’s d.

Reasoning : well it’s takes for time got it to get to one full number so therefore it’s going up 1/4 for each one space.

Well now is it a positive or a negative the line reading left to right going up means it’s a positive this I know for sure.

Again I’m not the best at these so take my answer with a gain of slat. I’m so sorry If I’m wrong but please put the right answer if I am for others that need this question I don’t mind being corrected I encourage you to do it.

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What is the value of x, in the question -8 = 14

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Answer:

there is no X to have a value...

URGENT. CAN SOMEONE PLEASE HELP ME WITH GEOMETRY? CHECK MY PAGE FOR EZ POINTS!!! :DDD

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Answer:

bhet

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

which is greater
15) 2/5 or 3/10
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Answers

2/5 because it’s the same as 4/10
1/4 because it’s 5/20 and 1/5 is 4/20
they are both the same because 3/4 is the same as 18/24
hope that helps!

Answer:

15) 2/5

16) 1/4

17) Same

Step-by-step explanation:

15) Multiply 2/5 by 2 on both the numerator and denominator which is 4/10 now you can clearly tell that 2/5 is greater.

16) Multiply 1/5 by 4 on both the numerator and denominator and multiply 5 on both the numerator and denominator in 1/4 for 1/4 you will get 5/20 and for 1/5 you will get 4/20 and you can tell that 5/20 is greater which is 1/4.

17) Multiply 3/4 by 6 on both the numerator and denominator you will get 18/24 so 18/24 and 3/4 are equivalent.

in a class of 32 students the mean height of the 14 boys is 1.56 meters and the mean height of all 32 students is 1.151 meters. work out the mean height of girls

Answers

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

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so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

Robin’s fiancé bought her a $4500 wedding ring from the Shane Company. It is now worth $5400. What is the percent of increase?

Answers

The answer is 20% increase

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Answer:

the answer is c

Step-by-step explanation:

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Algebra 1
>
S.25 Slopes of parallel and perpendicular lines ADB
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Answer:

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Step-by-step explanation:

Answer:

0.00272479564

Step-by-step explanation:

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Answers

Answer:

40/100 X 150 = 60

new garden will be 60ft

The length of the new garden is 60 feet.

What is a percentage?

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

On their farm, Doug and Elizabeth created a garden.

They wish to increase its dimensions by 50% without changing the shape of the garden.

If the length of the garden is now 40 feet long.

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100 + 50 = 150%.

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= 40 x 1.5

= 60 feet.

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Marley is a waitress. On Thursday, she earned $4.60 per hour plus $50.25 in tips. How many hours did she work that day if she earned $87.05

Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

C = -11

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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what is 3(x^2+2x-3)-4(4x^2-7x+5) equal to show step by step explanation

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Step-by-step explanation:

[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]

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which point of concurrency is the center of gravity in a triangle

Answers

Answer: centroid
Reasoning: The centroid is the point of concurrency of the three medians in a triangle.

The centroid is the point of concurrency of gravity in a triangle.

What is centroid?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians converge.

Since, the center of the gravity of the triangle is a point where a triangle is totally balanced.

The point of concurrency of the center of gravity of a triangle is a point where all three medians meet, and this point is called centroid.

Hence, centroid is the point of concurrency of gravity in a triangle.

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Given slope: (0,0) and (3,3), write the equation in slope intercept form

Answers

Slope intercept form is y = mx + c
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state the x- and y–intercepts for the given function.

2x – 3y = 6



x-intercept: (
,
)

y-intercept: (

Answers

Answer:

y intercept (0,-2) x intercept (3,0)

Step-by-step explanation:

first we have to solve for y.

2x-3y=6

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step 2 divide each side by -3

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now I am going to graph this to make it easier for you

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 17)(0,17) and (2, 1700)(2,1700).

Answers

Answer:

y = 17 · 10ˣ

Step-by-step explanation:

We can already get some idea of what this function might be by looking at what happens to the y value as we increase the x value of the function. We start at x = 0 with y = 17, and increasing x by 2 to x = 2 makes y = 1700. Notice that by increasing x by 2, we've added two zeroes to the end of 17. The only number which has this property in the decimal system is 10, so that must be our base, and our initial value must be 17. So our function is

[tex]y=17\cdot10^x[/tex]

We can verify this by running each of those points through the equation:

[tex]17=17\cdot10^0=17\cdot1=17\\1700=17\cdot10^2=17\cdot100=1700[/tex]

quit looking up answers

Step-by-step explanation:

fr

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