The cost for two different companies to make x candles is shown on the graph.
Which comparison between the two companies is accurate?
A) The cost per candle made is $1 greater for Quick Wick.
B) There is a $1 difference between the initial values of the two companies.
C) Quick Wick will make 50 candles at a higher cost than Wax Art.
D) Quick Wick will make more candles when the cost is $600.
Answers
Answer:
D) Quick Wick will make more candles when the cost is $600.
Step-by-step explanation:
Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.
✔️Wax Art:
m = change in y/change in x
Using (10, 140) and (20, 180),
m = (180 - 140)/(20 - 10) = 40/10
m = 4
Cost per candle = $4
To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b
140 = 4(10) + b
140 = 40 + b
140 - 40 = b
100 = b
b = 100
Initial value = $100
To get the equation, substitute m = 4 and b = 100 into y = mx + b
y = 4x + 100
✔️Quick Wick:
m = change in y/change in x
Using (10, 120) and (30, 180),
m = (180 - 120)/(30 - 10) = 60/20
m = 3
Cost per candle = $3
To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b
120 = 3(10) + b
140 = 30 + b
120 - 30 = b
90 = b
b = 90
Initial value = $90
To get the equation, substitute m = 3 and b = 90 into y = mx + b
y = 3x + 90
Let's analyse each option given using the information we now have:
✔️Option A: INCORRECT
Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.
✔️Option B: INCORRECT
Difference between the initial value sof the two companies = $100 - $90 = $10
✔️Option C:
Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:
Wax Art => y = 4x + 100
y = 4(50) + 100
y = $300
Wax Art will make 50 candles for $300
Quick Wick => y = 3x + 90
y = 3(50) + 90
y = $240
Quick Wick makes 50 candles for $240
As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.
Therefore, option C is INCORRECT.
✔️Option D: find out how many candles (x) each company will make when the cost is $600.
Substitute y = 600 in each equation of both companies
Wax Art => y = 4x + 100
600 = 4x + 100
600 - 100 = 4x
500 = 4x
500/4 = x
x = 125 candles
Quick Wick => y = 3x + 90
600 = 3x + 90
600 - 90 = 3x
510 = 3x
510/3 = x
x = 170 candles
Quick Wick will make more candles when he cost is $600.
Therefore, option D is the only CORRECT statement of comparison.
Related Questions
Tell whether the equation has one, zero, or infinitely many solutions.
4(x − 8) + 9 = 4x − 23
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(x-8)+9=4x-23
4x-32+9=4x-23
4x-23=4x-23
infinitely many solutions.
help please i dont understand will mark brainlyist
Answers
Answer:
Its D
Step-by-step explanation:
Its D because each one is multiplied by 16
I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before
Answers
Answer: 6 pounds
Step-by-step explanation:
Answer:
The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.
Step-by-step explanation:
find the value of x in the polygon
Answers
x equals to 10.............
help me please and hurry up please anyone
Answers
Answer:
I think its D
help.......................................
12 + 8 + 2 + 21 + 31 x 12 √ 2
Answers
Answer:
569.
Step-by-step explanation:
Answer:
12+8+2+21+31×12√2
BODMAS
so start with multiplication
12+8+2+21+372√2 = 43+372√2=569.09
Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answers
Answer:
3x
Step-by-step explanation:
Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation? K M F. (x, y) = (-y, x)
G. (x, y) = (-x. -Y)
H. (x, y) = (y, -x)
J. (x,y) → (-x, y) c
Answers
Answer:
F. (x, y) = (-y, x)
Step-by-step explanation:
270º clockwise transformation:
The 270° clockwise transformation of a point (x,y) is:
(x,y) -> (-y,x)
Thus, as we just apply the rule in this conceptual question, the correct answer is given by:
F. (x, y) = (-y, x)
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answers
Answer:
Corresponding angles...
1 and 5
2 and 6
3 and 7
4 and 8
Alternate Interior Angles
3 and 6
4 and 5
Alternate Exterior angles
1 and 8
2 and 7
The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
i think this question answer is 734.76cm^3
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
12
Step-by-step explanation:
Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c
[tex]a^2+b^2=c^2[/tex]
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
Answer:
b = 12m
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169 --> *subtract 25 form both sides*
b^2 = 144 --> find square root of 144*
b = 12
how do i do this? i don’t know how
Answers
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 together to equal 180:
X + 2x + x+ 14 = 180
Combine like terms:
4x + 14 = 180
Subtract 14 from both sides:
4x = 166
Divide both sides by 4
X = 41.5
Answer:
Fraction form: x = 83/2
Decimal form: x = 41.5
Step-by-step explanation:
The 3 angles inside the triangle will always add up to 180 degrees.
So that gives us the equation:
x + 14 + x + 2x = 180
Combine like terms:
4x + 14 = 180
Subtract on both sides:
4x = 166
Divide:
41.5
A. 15
B. 75
C. 100
D. 105
Answers
Answer:
B. 75
Step-by-step explanation:
According to vertical angles theorem, angles that are opposite of one another with shared lines will be equal, so we can set 5x = x +60.
Solving for x, we get x = 15, and substituting into the angle we get 15 + 60 = 75 degrees.
In Mr Bunnelo's class, 19 out of 26 students wore their school shirt on Friday. If the school has a
population of 2,462 students, approximately how many students at the school wore their school shirt
on Friday?
95 students
130 students
O
663 students
1,799 students
Answers
Find the measure of the arc or central angle indicated. Need by today thx.
Answers
Answer:
155°
Step-by-step explanation:
L WRT = 105+50 = 155°
Answer:
Step-by-step explanation:
what is the value of x ?
Answers
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
Which ordered pair best describes the point plotted in Quadrant II on the coordinate plane shown?
A. (-4, 6 )
B. (6, 4 )
C. (4, -6)
D. (6, -4 )
Answers
Answer:
A. (-4, 6 )
Step-by-step explanation:
Signals of x and y in each quadrant:
Suppose we have a point P(x,y).
In the first quadrant, we have that both are positive, that is, x > 0, y > 0.
In the second quadrant, x is negative, while y is positive, that is, x < 0, y > 0.
In the third quadrant, both are negative, that is, x < 0, y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0.
In this question:
In the second quadrant, we have x negative and y positive, so the ordered pair that best describes is given by option A.
Plsss helppp!!!!!!!!!!!!!!
Answers
Answer:
yes
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data.
because not every father would be born on the same day this is a statistical question.
Can you help me. 12.95 + 0.4 + 0.3 + 0.09 = ?
Answers
Answer:
13.74
Step-by-step explanation:
Answer:
13.74
Step-by-step explanation:
Add 0.4+0.3 = 0.7, so the equation now looks like this: 12.95+0.7+0.09
Add 0.7 + 0.09 = 0.79, so the equation now looks like this: 12.95 + 0.79
Add 12.95 + 0.79, so now you are left with: 13.74
hope this helps, ask me if you need more explanation
A container is in the form of a cuboid 20cm long, 3cm wide and 14cm high. Find, in
liters, the capacity of the container.
Answers
Answer:
840cm^3
Step-by-step explanation:
Given data
Length= 20cm
Width= 3cm
Height= 14cm
The expression for the volume/capacity of the container is
Volume= L*W*H
Volume= 20*3*14
Volume= 840cm^3
There are 4 consecutive integers that sum to 394. What is the least of these integers?
Answers
Answer: 97
Step-by-step explanation:
394 / 4 = 98.5, so the 4 numbers must be around 98.5.
97 + 98 + 99 + 100 = 394
help me with this please
Answers
I WILL GIVE YOU BRAINLIEST AND THIS ANSWER IS WORTH 30 POINTS!
1. |18-x|, if x<18.
2.|x-5|,if x<5
3. |x-18|, if x<18
Answers
Answer: the answer is |x-5,if x<5|
Step-by-step explanation:
The circle graph shows how a family budgets its annual income. If the total annual income is $135,000, what amount is budgeted for Food?
Answers
Answer:
$22950 is budgeted for FOOD.
Step-by-step explanation:
=17% of 135000
=0.17*135000
=$22950
The surface area of the world is about 7/10 water. If a very small, non-dangerous meteoroid lands on the earth, what is the probability it does NOT land in the water?
Answers
Answer: 3/10 probability
Step-by-step explanation:
We are telling the probability with tenths, so we can say that the probability of the meteoroid landing on Earth is 3/10.
If the surface area of the world is approximately 7/10, or 70 percent, water, there is approximately 3/10, or 30 percent, chance of the meteoroid hitting land.
I'm pretty sure, at least ^_^
5m - 12 = 2m + 6 + 3m
Answers
id appreciate some help ^^
Answers
Answer:
392
Step-by-step explanation:
I would separate this into 2 shapes a triangle and a square. So first take the area of the square
area of square = base x height
16x19=304
Than take the area of the triangle
area of triangle = 1/2(base x height)
you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16
1/2(16x11)= 88
Add them together
304+88=392
Step by step solution: See photo
PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED
Answers
Answer:
- 13
Step-by-step explanation:
[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]
x = 15, x = 5; (0.75)
Answers
Answer:
12
Step-by-step explanation:
12 is 75 of 15 %^%^%^%^^^___<<<7<
Which polynomial represents the sum below?
Answers
Answer:
D
Step-by-step explanation: