On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.
Answers
A hiker has the following items:
A sleeping bag that weighs 3.4 lb
A Camping bag that weighs 4.6 lb
And a water bottle that weighs 2.2 lb.
The expression would be:
3.4x + 4.6x + 2.2x = x
Where x is the weight that each x hikers are carrying.
You just need to add the three items and the answer would be 10.2 pounds.
We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.
These items can be seen in the image at the end of the answer.
We will see that the total weight carried by x hikers is given by:
W(x) = (10.2lb)*x
--------------------------------
First, let's find the weight that each hiker carries.
Each hiker carries:
Sleeping bag of 3.4 lb.Backpack of 4.6 lb.Water bottle of 2.2 lb.The total weight is:
T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb
Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb
We have:
W(x) = (10.2lb)*x
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Switching it from positive to negative...
5, -10, 15, -20.
Next number will be positive.
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25.
A child-size ATV has a gas tank that holds 1.32 gallons of gas. How much will it cost to fill that gas tank if gas costs $2.20 a gallon? Round your answer to the nearest cent. [Ignore tax.]
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Michael earns a base salary of $100.00 every week with an additional 9% commission on everything he sells. If Michael sold $4950.00 worth of items last week, what was his total pay?
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Add his commission and base: 100+445.50=545.50
He earned $545.50 :)
Wilson goes hiking every 9 days and swimming every 6 days .He did both of the kind of exercise today how many days from now will you go both hiking and swimming again LCM
Answers
Multiples of 6: 0, 6, 12, 18, 24, 30, 36
Multiples of 9: 0, 9, 18, 27, 36, 45
The first multiple they have in common is 18, so that is the amount of days until he will hike and swim on the same day. Note that both lists have 36, but this is not the answer since it is not the smallest multiple that they have in common.
Why have all the rates of change in this assignment been negative? Explain.
Answers
The problems have involved going down a waterslide.
To model a slide, you start at the highest point and then decrease as you move down the slide.
The rate of change has compared a drop or decrease in vertical height to an increase in either time or horizontal distance.
The rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
Negative Rate of ChangeA negative rate of change would occur if the output decreases as the input increases, and vice versa.
For a model slide, the highest point is plotted first, and going down the waterslide shows a negative slope.
Therefore, the rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
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Dean needs 6060 inches of wood to build a rectangular picture frame. The length ll of the frame is twice its width ww. Three of these equations give the correct value for ww. Which equation does NOT?
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Name the property 3x6x8=8x6x3
Associative or communitive
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Solve the inequality below and then graph the solution set.
1
_ w + 3 < -6
4
Answers
First, subtract 3 from both sides. We can do this because of the subtraction property of equality. This changes the equation to:
(1/4)w< (-9)
Next, multiply both sides by 4. We can do this because of the multiplication property of equality. We want to do this to eliminate the fraction. This changes the equation to:
W < (-36)
Now, graph. We know that W is less than -36, so graph W < (-36). This puts a straight up and downline, parallel to the axis, with the left side of the line filled in. The graphed file looks like the file attached.
I hope that this explanation helps!
What is 8 - 4k = 40
Answers
-4k=32
k=-8 is the answer
The height of a triangle is one-third of its base. If the height is 9 ft, what is the area of the triangle?
Answers
We know that the formula for area of a triangle is 1/2(b)(h)
So, 1/2(27)(9) = 121.5
So, the area of the triangle is 121.5
The weight of a stack of different sized books vs. the number of books in the stack. Is it proportional?
Answers
Hope this helps!
Answer:
It is not proportional becuase it has a different rate of change.
Hope this helps too!
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of y=1/4x−2 .
Then plot the intercepts to graph the equation.
Answers
0=1/4x-2
2=1/4x
8=x
The x-intercept is 8. The point is (8, 0).
To find the y-intercept, put in 0 for the x.
y=1/4(0)-2
y=0-2
y=-2
The y-intercept is -2. The point is (0, -2).
To graph, find the points on a coordinate plane and draw a straight line through them.
Hope this helps!
The x- and y-intercepts are (8, 0) and (0, -2), respectively. and the graph is attached
Graphing the function using the x- and y-interceptsFrom the question, we have the following parameters that can be used in our computation:
y = 1/4x - 2
To find the x-intercept, set y to 0 and solve for x:
0 = 1/4x -2
1/4x = 2
x = 8
So the x-intercept is (8, 0).
To find the y-intercept, set x to 0 and solve for y:
y = 1/4 * 0 - 2
y = -2
So the y-intercept is (0, -2).
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How many seconds equal 3.6 hours?
Answers
since its 3.6 hours we need to calculate it so one minute = 60 seconds and 60 minutes = a hour so those are the basics to solve this. now u have add 1 minute of 60 minutes to equal just one hour which gets u 3 if u do it 3 times.
1. Refer to Expression 1 and Expression 2.
Expression 1 6 ⋅ 7- 3/2⋅9+4/3
Expression 2 5+4⋅2+6-2⋅2-1
(a) What is the value of Expression 1?
(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.
Answers
25
with expression 2 5+4*2+6-2*2-1
just put parethhesis around the 5 and 4 so it looks like this (5+4)*2+6-2*2-1
it has this vaule now because you add 5+4 first now which changes the pemdas ordor around because before additon was the last thing but with parethisis it is the first
im using the * for multiplication
Answer:
a) Expression 1 = 29.833
b) (5+4) * 2 + 6 -2 * 2 - 1
Step-by-step explanation:
In expression 1 we have to know that the order to solve operations is:
First parenthesis, then multiplication and division and then addition and subtraction.
So we have the expression:
6*7-3/2*9+4/3
We first solve multiplications and divisions:
42-1.5*9+1.34
42-13.5+1.34 = 29.84
b) The parenthesis is the operation that goes first so if we insert the parenthesis in 5+4 we will get the next result:
(5+4) * 2 + 6 - 2 * 2 - 1
We have to solve parenthesis first, then multiplication and division and then addition and subtraction:
(9) * 2 + 6 - 4 - 1
18+6-4-1 = 19
We get the number 19.
Laying used 3/8 cup of flour and 1/3 cup of sugar in a recipe which number below is a common denominator for 3/8 and 1/3
Answers
2− 0.5n=3n+16
Help
Answers
----------------------- subtract 2 from both sides
-2 -2
-0.5n = 3n+14
----------------------- then subtract -3n from both sides as well
-3n -3n
-3.5n = 14
--------------- divide -3.5 on each side
-3.5 -3.5
simplify
Answer: n= -4
students collected 600 cans for the canned food drive that was 80% of their goal how many more cans do they need to collect to reach their goal
Answers
Answer: 150
Step-by-step explanation:
Let x be the total number of cans that was students' goal.
Given : Students collected 600 cans for the canned food drive that was 80% of their goal .
We can write 80% as 0.80
Then, we have
[tex]0.80x=600\\\\\Rightarrow\ x=\dfrac{600}{0.80}=750[/tex]
Thus, The students' goal of collecting cans for the canned food drive = 750 cans
Now, the number of food cans required to collect to reach the goal= 750-600=150
I need help on number 6.
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How do you know whether an estimate of a product is an overestimate or an underestimate? Explain Please.
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2016 repayment limitation single taxpayer income is at 350% poverty level
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The total number of cupcakes Carmen can bake depends on the amount of time she spends baking. Carmen can bake 84 cupcakes in 1.6 h. How many can she bake in 2 h?
Answers
We are given that Carmen can bake 84 cakes in 1.6 hours, therefore, to know the number of cakes that she can bake in 2 hours, all you have to do is cross multiplication as follows:
number of cakes = (2*84) / 1.6 = 105 cakes
suppose the block factory has only crates ans stacks . how can it pack an order for 4,270 blocks
Answers
To pack an order for 4,270 blocks using crates and stacks, you will need 43 crates and 27 stacks.
Explanation:To pack an order for 4,270 blocks using only crates and stacks, you could use a combination of both. First, determine the number of crates you will need. Since each crate holds 100 blocks, divide 4,270 by 100 to get 42.7. Since you can't have a fraction of a crate, you will need 43 crates.
Next, find out how many blocks are left after packing the crates. Subtract the number of blocks used in the crates (43 crates x 100 blocks) from the total number of blocks (4,270 blocks). You will be left with 4,270 - (43 x 100) = 270 blocks.
Now, you can use stacks to pack the remaining blocks. If each stack can hold 10 blocks, divide 270 by 10 to get 27 stacks. Therefore, you will need 43 crates and 27 stacks to pack an order for 4,270 blocks.
What's the sum of all the integers between √3 and √89 ?
Answers
So we just want to add together all numbers between (including) 2 and 9.
So,
2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
Or,
11 * 4
44
how to express 1/243 using a negative exponent other than -1
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What is the expanded form of 7 x 256
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What is the value of X?
3 (x - 2) + 5x = 18
Answers
3x - 6 + 5x = 18
Combine like terms.
8x - 6 = 18
Add 6 to both sides.
8x = 24
Divide both sides by 8.
x = 3
Hope this helps!
3x - 6 + 5x = 18
8x - 6 = 18 combine like terms
+6 =6
8x = 24
__ __
8 8
x = 3
find the experimental probability of rolling a 4
Answers
Final answer:
The experimental probability of rolling a 4 is calculated by dividing the number of times a 4 is rolled by the total number of rolls. It may not match the theoretical probability exactly in the short term but should converge to approximately 0.1667 as the number of trials increases.
Explanation:
To find the experimental probability of rolling a 4 with a fair six-sided die, we must consider the frequency of the event (rolling a 4) occurring among a number of trials. Since each side of the die has an equal chance of landing face up, each side has a probability of 1/6.
If a die is rolled many times, and the results are recorded, the experimental probability can be calculated as the number of times a 4 occurs divided by the total number of trials. For example, if a die is rolled 120 times and the number 4 comes up 20 times, the experimental probability for rolling a 4 would be 20/120, which simplifies to 1/6. However, since this is experimental probability, the outcome may not always exactly match the theoretical probability due to variations in the short term. Nevertheless, as the number of trials increases, we expect the experimental probability to get closer to the theoretical probability of 1/6 or approximately 0.1667 when rounded to four decimal places.
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line?
Answers
The point is to get X and Y om the left side and the excess numbers on the right. (A,B, and C just repsreent the numbers)
Y-11+= X+ 7
-X. -X
--------
-X+Y- 11= 7
+11. +11
------
Your answer is
-X+Y= 18
But if your teacher doesnt Allow A to be a negative multiply the whole equation by -1
And THEN your answer would be X-Y= -18
Hope that helps!
Answer:
3y+4x=5
Step-by-step explanation:
step 1
Find the slope
we have
(–7, 11) and (8, –9)
m=(-9-11)/(8+7)
m=-20/15
m=-4/3
step 2
Find the equation of the line into point slope form
we have
m=-4/3
point (-7,11)
substitute
y-11=-(4/3)(x+7) ----> equation of the line into point slope form
Multiply by 3 both sides
3y-33=-4(x+7)
3y-33=-4x-28
3y+4x=33-28
3y+4x=5 -----> equation of the line into standard form
How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
-The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.
Answers
The graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉ as the graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
Modulus function / Absolute function [x]What is modulus function?A modulus function is a function that determines a number or variable's absolute value. No matter what input was provided to this function, the outcome is always positive.
Solution of function f(x) = [x]Consider different values for x.
Say,
x = -1; f(-1) = [-1] = 1
x = 1; f(1) = [1] = 1
For any value of the x, the value of the function will be positive only.
The graph is attached in the image.
Solution of function f(x) = [x] + 7Consider different values for x.
Say,
x = 0; f(0) = [0] + 7 = 0 + 7; f(0) = 7
x = -1; f(-1) = [-1] + 7 = 1 + 7; f(-1) = 8
x = 1; f(1) = [1] = 1 + 7; f(1) = 8
For any value of the x, the value of the function will be positive only, but it would be 7 units shifted up on the y axis.
The graph is attached in the image.
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