5. The constant of proportionality is $0.4 per pound
4. The constant of proportionality is is 3 ounces of almond per ounces of dark chocolate
Determining Constant of proportionalityFrom the question, we are to determine the constant of proportionality from the given table
From the given information, we have that
There is a proportional relationship between x and y
That is,
y ∝ x
Then,
y = kx
Where k is the constant of proportionality
From the table,
When x = 5 pounds, y = $2
Then,
2 = k × 5
k = $2/5pounds
k = $0.4/pound
k = $0.4 per pound
4.
x is proportional to y
Then,
y = cx
Where c is the constant of proportionality
From the table,
When x = 3 ounces of dark chocolate, y = 9 ounces of almond
Then,
9 = c × 3
c = 9/3
c = 3 ounces of almond / ounces of dark chocolate
c = 3 ounces of almond per ounces of dark chocolate
Hence, the proportionality constant is 3 ounces of almond per ounces of dark chocolate
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A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?
Answer:
3 = 0.25 + 0.5d
Step-by-step explanation:
Given that:
Amount charged per hour = $2
Time left before inserting $d = 15 minutes
Total time after inserting $d = 3 hours
Total time of 3 hours = time left by previous driver + hours purchased with $d
$2 = 1 hour
$d = x
2x = d
x = d/2 ; 0.5d
Since 15 minutes is left before inserting $d
15 minutes to hour ; 15/60 = 0.25
Total time of 3 hours = time left by previous driver + hours purchased with $
3 = 0.25 + 0.5d
The sales tax in your city is 4.4% and an iem costs $3 before tax
Ryan is riding his bike. he biked a distance of 12 miles at a rate of 4 miles per hour. rearrange the distance formula, d = rt, to solve for ryan's time in minutes. (1 hour = 60 minutes) 480 minutes 180 minutes 8 minutes 3 minutes
(B) 108 minutes is Ryan's time.
What do we mean by the distance formula?Distance is a numerical measure of the distance between two objects or points. The distance can be a physical length or an estimate based on other criteria in physics or everyday usage. The distance between two points A and B are sometimes denoted as |AB|.The distance formula: d = rtSo,
To begin, consider the distance formula: d = rtDividing by the coefficient of t yields the following equation for t: t = d/rRyan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.
Ryan's time:
t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 minTherefore, (B) 108 minutes is Ryan's time.
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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.
a. 480 minutes
b. 180 minutes
c. 8 minutes
d. 3 minutes
Water flows through a pipe at a rate of 5 fluid ounces per minute. Express this rate of flow in gallons per hour. Round your answer to the nearest hundredth. help!!!
Answer:
2.34 gallons per hour
Step-by-step explanation
5 fluid ounces = 0.0390625 gallons
60 min = 1 hour
0.0390625 x 60min = 2.34 gallons per hour
Hiro ran 5 1/8 miles each day for a week how far did he run in all?
Answer: 35 7/8 miles
Step-by-step explanation:
5*7 + 1/8*7 = 35 7/8 miles
How many times can 5 go into 11
Answer:
Step-by-step explanation:2
Which of these values are solutions to x -6 < 2x + 2
x = -1
x= -5
x = -9
Answer:
x - 6 < 2x + 2
-8 < x, so x > -8
x = -1 and x = -5 are solutions to this inequality.
What is 5 to the power of -3, show how you did it
Answer:5 to the power of -3 is 5 times-5=-25 times -25= 125 times -5 = -625
Step-by-step explanation:
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x
We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:
Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.
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If a fair penny is tossed 24 times and comes up heads 18 times, what is the probability of heads coming up on the 25th flip of the coin?
Could someone explain this step by step.
A gym membership costs $20 each month plus $2 per visit. The total cost for a month can be modeled by y = 20+ 2x, where x is the number of visits made for a month. graph the function
The graph of the line represents the total cost for a month as a function of the number of visits made.
To graph the function y = 20 + 2x, we can plot several points and then connect them with a straight line. Here are a few points we can use:
When x = 0 (no visits), y = 20
When x = 1 (one visit), y = 22
When x = 2 (two visits), y = 24
When x = 3 (three visits), y = 26
We can plot these points on a coordinate plane with x on the horizontal axis and y on the vertical axis. After this, we can then connect the dots with a straight line. This line represents the total cost for a month as a function of the number of visits made.
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an bag contains 4 pink balls, 9 purple balls, and 2 white balls. three balls are selected, one after the other, without replacement. find the probability that all three balls are purple.
The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.
To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:
P(A and B and C) = P(A) x P(B|A) x P(C|A and B)
where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.
The probability of drawing a purple ball on the first draw is:
P(A) = number of purple balls / total number of balls = 9 / 15
After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:
P(B|A) = number of purple balls left / total number of balls left = 8 / 14
After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:
P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13
Therefore, the probability of drawing three purple balls in a row is:
P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%
So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.
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help me out! please and thank uuu <3
Answer:
y = 3/5x - 5
Step-by-step explanation:
y intercept is -5
slope is rise / run = 3/5
The refinery melts 1.25 tons of trash in 2 hours. If the furnace only melts trash Monday through Friday, 6am to 6pm, how many tons of trash is melted in a week?
Pls find equation of parabola
Answer:
y = - 3x² + 6x + 9
Step-by-step explanation:
given the zeros of a parabola x = a , x = b , then the factors are
(x - a) , (x - b)
here the zeros are x = - 1 and x = 3 , then
factors are (x + 1) and (x - 3)
the equation of the parabola is then the product of the factors, that is
y = a(x + 1)(x - 3) ← a is a multiplier
to find a substitute the point (0, 9 ) into the equation
9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
- 3 = a
then equation is
y = - 3(x + 1)(x - 3) ← expand factors using FOIL
= - 3(x² - 2x - 3) ← distribute parenthesis by - 3
y = - 3x² + 6x + 9
Provide
an appropriate response.
9) knight may win a tournament. He may also fail to win the love of his lady. Are these events
overlapping? Why or why not?
A) Yes, because not all ladies love all winners
B) No, because all ladies love all winners
C) Yes, because some ladies love winners
No, because not all ladies love all winners
What does “of” when you find a fraction of a number
Answer:
To find the unit fraction of a number, you need to divide the number by the denominator.
Step-by-step explanation:
The word “of” means the relationship between the fraction and the number.
The ratio of donuts to bagels eaten by teachers in the morning is 4:5. If there were 25 bagels eaten, how many donuts were eaten?
Answer:
20 donuts
Step-by-step explanation:
4:5
x:25
25 / 5 = 5
4 x 5 = 20
x = 20
I need help with number 1 the one that’s in Black
1)
Answer:
Explanation:
The given function is
f(x) = x^2 - 2x - 3
The first step is to graph the function. We would substitute values of x into the function and find corresponding values of y or f(x). We have
For x = - 1, y = (- 1)^2 - 2(- 1) - 3 = 1 + 2 - 3 = 0
For x = 0, y = (0)^2 - 2(0) - 3 = 0 + 0 - 3 = - 3
For x = 1, y = (1)^2 - 2(1) - 3 = 1 - 2 - 3 = - 4
The points to be plottted on the ggraph are
(- 1, 0)
(0, - 3)
(1, - 4)
We would plot these point on the graph as shown below
The axis of symmetry is the vertical line that divides the graph into two equal hv
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
Help. Also, how do you give Brainliest?
Okay so basically when two people answer your questions it should give you the option to give brainliest otherwise sometimes it takes a few days to give it to someone. And for your question does it give any number options.?
Edit: f(-1)= 1 then f(1)= -10.
Answer:
two people need to answer the question your asking and their is a crown beside the flag under both answers
Step-by-step explanation:
Solve the formula Aa + By = C for B.
Answer: B = -(Aa)/y + C/y
By = -Aa + C
B = -(Aa)/y + C/y
hope this helps! <3
what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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A counter in Lamar's kitchen is 1 yard wide and 2 yards long. Lamar wants to replace the counter with a granite countertop, which would cost $204.63 per square yard. How much would the granite countertop cost?
Answer:
Step-by-step explanation:
Comment
Find the number of square yards
Area = L * w
L = 2
w = 1
Area = 2 * 1
Area = 2
Now for the counter top
1 sq yard costs 204.63
2 sq yards cost 2 * 204.63
2 sq yards cost 409.26
Answer: 409.26
pre calc pls help me i really appreciate it
Answer:
\(a_{14} = 10496\)
Step-by-step explanation:
A geometric sequence is of the form:
\(ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot\)
So the given values can be represent as:
\(1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164\)
So you have a system of equations with two unknows \(a\) and \(r\). Then you can find one unknow in terms of the other.
\(a = \frac{-164}{r^{10}}\)
Now replace \(a\) in the first equation
\(\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\\)
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
\(r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4\)
For find \(a\) only replace \(r\) in whatever of the two equations.
\(-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}\)
After find \(a\) and \(r\) use the next formula for find the \(14^{th}\) term.
\(ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x\)
3/2 + (-6/5) reduce to simplest form
You travel 50 miles in 4 hours. What is your average speed of
travel over the 4 hours in miles per hour?
mph
Answer:
12.5 mph
Step-by-step explanation:
50 miles / 4 hours=
25 miles / 2 hours=
12.5 mph
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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What is the distance, in units, between the y-intercept of f(x)=x2+7x-18 and the y-intercept of the linear function that passes through the points shown in the table below
Answer: To determine the distance between the y-intercepts of two functions, we need the equations of both functions. You have provided the equation of one function, f(x) = x^2 + 7x - 18, but you haven't provided the equation or the points for the linear function in the table.
If you provide the equation or the points for the linear function, I would be happy to help you calculate the distance between their y-intercepts.
Step-by-step explanation:
HELP ME I DONT HAVE MUCH TIME! At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
900
2,000
2,100
4,000
HERY!
Answer:
The answer is 900
good luck