The graph shows the cost of producing gadgets. which equation best represents the cost C of producing n gadgets?
Answers
Answer:
[tex]C = 0.10n[/tex]
Step-by-step explanation:
If you study the graph you will see that there is no cost for producing zero gadgets. Cost = $0
For 100 gadgets the cost is $10
For 200 gadgets the cost is $20
etc
So the cost in $ is 1/10 times the number of gadgets
For 1 gadget, it costs [tex]\$\dfrac{1}{10}[/tex] or $0.10
For n gadgets it should cost $[tex]0.1n[/tex] same as [tex]\$\dfrac{n}{10}[/tex]
Mathematically speaking the graph represents the equation of a straight line which is of the form
y = mx + b
where y represents the vertical axis and x the horizontal axis
The variable m represents the slope of the line which is the increase of y for every unit increase in x.
The slope, m can be determined by using the formula [tex]\displaystyle \dfrac{y2-y1}{x2-x1}[/tex] where x1, y1 and x2, y2 are two points on the graph
This is also called rise/run
b is called the y-intercept and it represents the value of y where the line crosses the vertical axis
The difference here is that instead of y, we are using C as the variable for the vertical(y) axis and n as the variable for the horizontal(x) axis
So we get the modified equation as
C = m·n + b
We can see that when n = 0, C = 0 so b = 0 because the vertical intercept is zero
To calculate m, take any two points on the line
I choose (0, 0) and (100,10)
[tex]\rm Slope \;m = \dfrac{10-0}{100-0} = \dfrac{10}{100} = \dfrac{1}{10} = 0.10\\\\[/tex]
This means that for every gadget produced the cost will increase by $0.10
The equation becomes C = 0.10n + b and since b is 0 we get
[tex]C = 0.10n[/tex]
Related Questions
Help. I'll mark as brainlist.
Answers
Answer:
∠TUS and ∠SUT
Step-by-step explanation:
the marked angle can be read as:
∠TUS and ∠SUT
they are the same as they are just the flipped order of saying the same thing
Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 ib of aluminum and her friend Abigail collected 7/8 ib
1. Which girl Collected more aluminum?
2. How much aluminum did the two girls collect?
Answers
They both collected 1 3/40 ib
What the solution to the inequality 3/4(-8x-4)-2x>5
Answers
Answer: x < -1
Step-by-step explanation: Simplify 3/4
3
((— • (-8x - 4)) - 2x) - 5 > 0
4 3.1 Pull out like factors :
-8x - 4 = -4 • (2x + 1)
(-3 • (2x + 1) - 2x) - 5 > 0
5.1 Pull out like factors :
-8x - 8 = -8 • (x + 1)
What is the perimeter of a rectangle with a length of Eight and one-sixth feet and a width of Six and two-thirds feet?
Fourteen and three-ninths feet
Sixteen and two-sixths feet
Twenty-nine and four-sixths feet
Forty-eight and three-eighteenths feet
Answers
Answer: I got 54 and 4/9 so...
Step-by-step explanation:
Answer: twenty nine and two sixth or twenty nine and two thirds
29[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]8\frac{1}{6}+6\frac{2}{3}= 14\frac{5}{6}[/tex] then you ad that which is [tex]14\frac{5}{6}+ 14\frac{5}{6}= 29\frac{4}{6}[/tex]
or simplified is 29[tex]\frac{2}{3}[/tex]
I hate math
whats the answer to thiss
Answers
see the next one this was wrong i am sorry
Answer:
B, G, F
Step-by-step explanation:
That is the answer because 4^5 is (4 x 4) 5 times. And 9^3 is (9 x 9) 3 times. So you can write it like (4 x 4 x 4 x 4 x 4) x (9 x 9 x 9) or 4 x 4 x 4^2 x 4 x 9 x 9^2 Or 4 x 4 x 4 x 4 x 4 x 9 x 9 x 9. For you to know how to solve it next time. :) <3
P|z help. I have no idea how to do this.
Factor the expression completely by finding the greatest common factors.
13b - 10b
Answers
Answer:3b
Step-by-step explanation:
Subtract 10b from 13b
I hope this helps!
Since we are dealing with the same variable, we can remove it for now, and add it back at the end.
13-10=3
Now, we can add back the variable to get 3b
Or, you could just subtract
13b-10b=3b
Since both numbers have the same variable, you can just subtract
In this case the variable is b (a number that stands for a unknown value)
If anything is unclear please feel free to leave a comment!
Hope this helped!
Can someone help, please
Answers
Answer:
y = 7x +10
Step-by-step explanation:
Given a y-intercept of 10 and a slope of 7, you want the equation of the line in slope-intercept form.
Slope-intercept equationThe slope-intercept form equation of a line is ...
y = mx +b . . . . . . . where m is the slope, and b is the y-intercept
You are given a slope of 7 (m=7) and a y-intercept of 10 (b=10), so the equation is ...
y = 7x +10
________ is measured in square units because it has two dimensions: length and width.
Area
Height
Perimeter
Volume
Answers
Answer:
Area is measured in square units because it has two dimensions: length and width
What is this function's rate of change? y = 2x + 1
Answers
Step-by-step explanation:
the rate of change or slope is the factor of x, when we have the function in the form y = ...
so, it is 2.
that means y changes by 2 whenever x changes by 1.
Which of the following is not a step when drawing an angle?
A. Draw a ray
B. Connect the arrows with a straight line
C. Line up the baseline on the protractor with the ray
D. Draw arrows on both ends to make them rays
Answers
Answer:
B
Step-by-step explanation:
a angle is not the same thing as a triangle and so therefore the lines at the end do not need to be connected.
1,000 g (grams) = _____ kg
Answers
Answer: 1,000 g (grams) = 1 kg
Answer:
1 kg
Step-by-step explanation:
kg stands for kilograms
Kilo means thousands
kilogram means thousand grams
1000g = 1kg
Hope this helped and have a good day
What’s the answer to 10-
11-12-13
Answers
-26 Is the answer.
____________________
First you have to do: 10 - 11 = -1
Then its -1 - 12 or -1 + -12 (same thing) = -13
After that, do -13 + -13 = -26.
10-11= -1
then u do -13 + -13 = -26
Find each sum or difference
1. -1/2 + 1/3
a. -1/6
b.-1/3
c.2/3
d.1/6
2. -3 1/5 + (-6 1/2)
a. -3 2/7
b. -3 7/10
c. -9 2/7
d. -9 7/10
3. 5/8 - (-2/8)
a. -3/8
b. -7/8
c. 3/8
d. 7/8
4. -9/10 - 2/5
a. -1 3/10
b. -1 1/10
c. -7/10
d. -5/10
5. 6 3/5 - (-2 1/5)
a. - 8 2/5
b. -4 2/5
c. 4 2/5
d. 8 4/5
Please help, its currently 3:53 am...
Answers
Answer:
Step-by-step explanation:
-1/2 + 1/3
(-3 + 2)/6
- 1/6
-3 1/5 + -6 1/2
-9 + (2+5)/10
-9 7/10
5/8 - (-2/8)
5/8 + 2/8
(5+2)/8
7/8
-9/10 - 2/5
(-9-4)/10
-13/10
6 3/5 + 2 1/5
8 + (3+1)/5
8 4/5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1/2 + 1/3
(-3 + 2)/6
- 1/6
-3 1/5 + -6 1/2
-9 + (2+5)/10
-9 7/10
5/8 - (-2/8)
5/8 + 2/8
(5+2)/8
7/8
-9/10 - 2/5
(-9-4)/10
-13/10
6 3/5 + 2 1/5
8 + (3+1)/5
8 4/5
Write the equation of the line from the table below.
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{9000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3000}-\stackrel{y1}{9000}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -6000 }{ 2 } \implies - 3000[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9000}=\stackrel{m}{- 3000}(x-\stackrel{x_1}{2}) \\\\\\ y-9000=-3000x+6000\implies {\Large \begin{array}{llll} y=-3000x+15000 \end{array}}[/tex]
Can someone help, please
Answers
You solve by plugging in the slope and intercept to the equation y =mx + b, where m is the slope and b is the y intercept. Because the y intercept it -7, you add the negative to +b, which turns it into a negative number
Slope-intercept form is: y = mx + b
where m is the slope and b is the y-intercept.
Since you're told the slope is 1/8 and the y-intercept is -7, you just plug those into the form:
y = 1/8 x - 7
Note that the "–" in front of the 7 is already part of the answer on paper, so you don't need to add a second one.
Here are the questions about this problem.
The bus traveled a total of __
_____miles.
The bus made ____
___ stops during the route
The total time the bus traveled was _
_____ hours
i'd really appreciate the help
Answers
The bus made 4 stops during the route.
The total time the bus traveled was 8 hours.
4 stops
8 hours
Mrs maggio needs 48 hot dogs harris teeter sells a 6 pack of hot dogs for 5.10$ and 8 pack for 6.88$ sould mrs maggio buy 8 six packs or 6,8 packs
Answers
Answer:
Eight 6-packs
Step-by-step explanation:
6-pack of hot dogs for 5.10$
8-pack of hot dogs for 6.88$
To figure out the answer, we compare the prices:
The price of six 8-packs is $41.28 ($6.88 x 6)
The price of eight 6-packs is $40.80 ($5.10 x 8)
As we can see, the cheaper option would be to buy eight 6-packs, which is our answer.
9
13. A grocery store sells 12 bottles of water for $8 and 36 bottles of water for $20.
Is the cost of the water proportional to the number sold? Explain.
a) Proportional because the unit rates are $1.50 per bottle.
b) Proportional because the unit rates are $1.80 per bottle.
c) Nonproportional because the bottles have different unit rates.
d) Nonproportional because one grocery store has more bottles.
Answers
$20/36 bottles = $5/9 per bottle
The unit rates are not the same, so c) nonproportional because the bottles have different unit rates.
Can someone help, please
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The slope is the change in y over the change in x.
We find the change by subtracting.
From the points given the y's are 9 and 10 and the x's are 2 and 6
[tex]\frac{9-10}{2-6}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]
(-7.8)⁹/(-7.8)⁴
help please
Answers
Answer:
(-7.8)^5 or approx. -28871.74368
Step-by-step explanation:
9 - 4 = 5
(-7.8)^5 = approx. -28871.74368
(35 PONITS!) Consider the function g (x)=2+1 and h(x) =2x +2 for the domain 0
a. Without evaluating or graphing the functions, how do the ranges compare?
b. Graph the two functions and describe each range over the given interval.
(PLEASE AT LEAST GIVE ME ANSWER ONE!)
Answers
Answer:
b.
Slope: 2
y-intercept: (0, 2)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
SOMEONE PLEASE HELP ME!
Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show works!)
Answers
Answer:
5h
Step-by-step explanation:
there are no out numbers so it would just be 5h
Since there are 4 sides, there are going to be 4 terms.
Question is Image included
Answers
Answer:
Step-by-step explanation:
a is correct
find an equivalent expression without parentheses (-2a^2+3a+1)(3a-2)
Answers
Answer:
-(2 a^2 - 3 a - 1) (3 a - 2)
-6 a^3 + 13 a^2 - 3 a - 2
a ((13 - 6 a) a - 3) - 2
Step-by-step explanation: hope this helps.
Combine to get:
-6a^3 + 13a^2 +3a - 2
Can someone help, please
Answers
slope intercept form is: y = mx + b
where: m = slope and b = y-intercept.
slope = 5 and y-intercept = 5
y = 5x + 5
Answer:
1x+5
Step-by-step explanation:
????
Under standard atmospheric conditions, water will not remain a liquid if its temperature is less than or equal to 0°C or if it is greater than or equal to 100°C. Suppose you have a cup of water that is room temperature, or 20°C.
a. Write a compound inequality to represent the number of degrees of Celsius c that the temperature of the cup must change to longer be liquid.
Answers
Answer: +80°C or -20°C
Step-by-step explanation:
This is the answer because if you add 80 then it will equal 100°C and freeze and if 20°C is taken away it will equal 0°C and freeze.
Zachary went into a grocery store and bought 5 bananas and 2 mangos, costing a total of $5.50. Olivia went into the same grocery store and bought 6 bananas and 10 mangos, costing a total of $12.30. Write a system of equations that could be used to determine the price of each banana and the price of each mango. Define the variables that you use to write the system.
Answers
System:
5b+2m=5.5
6b+10m=12.3
Variables:
b = cost of bananas
m = cost of mangoes
Explanation:
Zachary bought 5 bananas and 2 mangoes so you multiply each by the cost of them (5b and 2m) and then add them together (5b+2m) to find the total cost (5.5). This is the same for Olivia. If you solve the system you can figure out how much the bananas and mangoes cost.
The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Zachary went into a supermarket and purchased 5 bananas and 2 mangos, costing a sum of $5.50. Olivia went into a similar supermarket and purchased 6 bananas and 10 mangos, costing a sum of $12.30.
Let 'x' be the cost of a banana and 'y' be the cost of a mango. Then the equation is given as,
5x + 2y = 5.50 ...1
6x + 10y = 12.30 ...2
From equations 1 and 2, then we have
6x + 10[(5.50 - 5x) / 2] = 12.30
6x + 27.5 - 25x = 12.30
19x = 15.2
x = $0.8
Then the value of the variable 'y' is given as,
5(0.8) + 2y = 5.50
4 + 2y = 5.5
2y = 1.5
y = $0.75
The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The purchase price of a camcorder is $588. What is the total price if the sales tax rate is 4.5%?
Answers
Hello,
The sales tax for a camcorder that costs $588 would be $588 * 0.045 = $26.46. Therefore, the total price would be $588 + $26.46 = $614.46.
The answer is: $614.46
Please give this answer 5 stars and brainliest if you find it helpful.
Happy Holidays!
4.5% x 588 =26.64
588.00
+26.64
————-
614.64
Answer-
The total price for a camcorder is $614.64
What does the point (0,0) represent? Select all that apply.
Answers
The origin,(0,0) is on the bottom left on your graph
Hope this helped someone
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I know everyone out here has some physical or mental stuff, (including grades)
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I encourage you all to respond to questions throughout this brainly app/website appropriately. please put effort into your responses.
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(below is the question to answer)
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make someone happy today!