Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.
Answers
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
Given :
Melanie buys 2 shells for $0.80.Rosi buys 3 shells for $1.20.Carlos buys 4 shells for $1.60.The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:
Step 1 - First determine the value of x and y from the given data.
Points - (2,0.8), (3,1.2), and (4,1.6)
Step 2 - Now, divide y by x in order to determine the proportionality constant.
[tex]r = \dfrac{0.8}{2} = 0.4[/tex]
[tex]r'=\dfrac{1.2}{3}=0.4[/tex]
[tex]r" =\dfrac{1.6}{4}=0.4[/tex]
Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
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Related Questions
Perform the indicated operation
3/4 divided by 1/3
Answers
Answer:
2 1/4
Step-by-step explanation:
3/4 ÷ 1/3 = ?
(to divide fractions faster you flip the second fraction so:)
3/4 x 3/1 = 2 1/4
Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.
Answers
Answer: C
Step-by-step explanation:
I just took the quiz and I got it right
Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
What is Complex number?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit
What is Modulus of a complex number?Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin
Given,
Complex number z divides by a second complex number w
To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction
From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w
Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
Learn more about Complex number and Modulus of a complex number here
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The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answers
Answer:
вы молодец и увас всё получилось
Help me with this question pleasee
Answers
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
PLEASE HELP I HAVE TO GET THIS DONE
Answers
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
solve for a in the figure shown.
Answers
Answer:
40
Step-by-step explanation:
110+30=140
but a full triangle should equal 180
so 180-140=40
140+40=180
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what is 8 times 0.9 equal
Answers
Answer:
7.2
Step-by-step explanation:
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answers
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. For each question, explain your reasoning.
How much does the cashier earn per hour?
How much does the cashier earn if she works 3 hours? pls help me!!
Answers
Answer:
The cahier earns 7.25 an hour
and in three hours she will have 21.75
Answer:
Step-by-step explanation: IT Is The cashirs earns $7.25 each hour.She will have 21.7$
Question 8
1 pts
Salvador earns $13.00 per hour. If he works more than 40 hours a week
he earns time and a half. This week he worked 7 hours of overtime. How
much overtime pay did he receive?
Answers
Answer:
$136.50
Step-by-step explanation:
Time and a half = 13.00 + (13 × 1/2)
Time and a half = 13.00 + 6.50
Time and a half = $19.50
If he works 7 hours of overtime, and overtime means getting paid time and a half, we would multiply 7 hours by $19.50 to find the total amount he was paid
7 × 19.50 = 136.50
In overtime, he was paid $136.50
what is the Quotient: 3/4divided1/4
Answers
Answer:
3
Step-by-step explanation:
w(t) = 3t – 1; t = 5
Answers
Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points are neither negative nor positive? Select all that apply.
H
M
L
J
P
K
N
Please help
Answers
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
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Answer:
Answer:
M is niether Negitive or positive
Step-by-step explanation:
Because it is on the zero
Step-by-step explanation:
what is the answer for 14x divided by 7x
Answers
Answer:
2x
Step-by-step explanation:
You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.
Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar
Answers
Answer:
y=.60x
Step-by-step explanation:
where y is the amount of money Julie can expect to pay
where x is the amount of tomatoes she is buying
i dont understand what the key means, but this would be the appropriate model for this problem
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Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:
Answers
Answer:
3 + 3.75x=18
subtract 3 from both sides
3.75x=15
divide by 3.75 on both sides
x=4
Step-by-step explanation:
Complete the following proof.
Answers
Answer:
BD = CA ⇒ Proved down
Step-by-step explanation:
From the given figure
∵ AB and CD are diameters in circle O
∴ OB = OA = OC = OD ⇒ radii
∵ AB ∩ CD at O
∴ ∠BOD and ∠COA are vertically opposite angles
∵ The vertically opposite angles are equal in measures
∴ m∠BOD = m∠COA
→ In Δ OBD and Δ OCA
∵ m∠BOD = m∠COA ⇒ vertically opposite angles
∵ OB = OC ⇒ radii
∵ OD = OA ⇒ radii
∴ Δ OBD and Δ OCA are congruent by SAS postulate
→ From congruency
∴ BD = CA
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Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
A. The equation has one solution: x = 0.
B. The equation has one solution: x = 8.
C. The equation has no solution.
D. The equation has infinite solutions.
Answers
Answer:
C. no solution
Step-by-step explanation:
3x – 4 = 3x + 4
3x-3x=4+4
0=8
which is not possible.
So, it has no solutions.
Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?
Answers
Answer:
225776
Step-by-step explanation:
Trust me i got it right.
the graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)
Answers
Answer:
Zero of the function = (-6, 0)
Step-by-step explanation:
Let the equation of the function given in the graph is,
y = mx + b
where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
b = y-intercept of the line
From the graph attached,
Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5
y - intercept 'b' = -9
Therefore, equation of the line will be,
y = -1.5x - 9
Function representing this line will be,
g(x) = -1.5x - 9
Zeros of the given function will be,
g(x) = 0 Or x-intercept
-1.5x - 9 = 0
x = -6
Therefore, zero of the given function is (-6, 0).
Sharee and her two sisters ate 3 5 of a pizza. How much of the pizza did each girl have? A) 1 3 B) 1 5 C) 2 15 D) 3 10
Answers
Sharee and her two sisters ate 3 /5 of a pizza. How much of the pizza did each girl have? A) 1 /3 B) 1/ 5 C) 2 /15 D) 3 /10
Answer:
B) 1/ 5
Step-by-step explanation:
Number of persons = Sharee and her two sisters = 3 persons
Quantity of pizza eaten = 3/5
Each person ate:
3 persons = 3/5 pizza
1 person = x pizza
Cross Multiply
3 × x = 3/5 × 1
x = 3/5 × 1/3
x = 3/5 ÷ 3
x = 3/5 × 1/3
x = 1/5
Hence, each person ate 1/5 pizza.
he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution is approximated by a normal distribution since approximately an equal number of parts are above or below average, and most parts are very close to the mean value. A part will be discarded is it has a diameter of greater than 3.5 inches or less than 3 inches. What proportion of parts are discarded from the production line
Answers
Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:
[tex]Mean = \mu = 3.25 inches[/tex]
Standard deviation = [tex]\sigma = 0.15 inches[/tex]
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more
[tex]P(Z \geq 3.5)=1-P(z<\frac{x-\mu}{\sigma})\\P(Z \geq 3.5)=1-P(z<\frac{3.25-3.5}{0.15})\\P(Z \geq 3.5)=1-P(z<-1.67)[/tex]
Refer the z table for p value
[tex]P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525[/tex]
Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
Answers
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
In the number 65.784, what place is the 7 in?
Answers
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
Need help i will mark you brainliest
Answers
Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2
B. 2 C. 1/6 D. -1/2
Answers
Answer:
D. -1/2
Step-by-step explanation:
When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.
So -1/2 is the slope of your perpendicular line.
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Answers
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
What is the difference between 71.27 and38.86?
Answers
Answer:
32.41Step-by-step explanation:
72.21 - 38.86 = ?
32.41Hope this helps! <3
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
7 1 . 2 7
_- 3 8 . 8 6___
3 2 . 4 1
---> 32.41
Hope it helps you,
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Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?
Answers
Answer:
40
Step-by-step explanation:
Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answers
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25