Answers
Answer:
k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
i'm not all too familiar with the constant of proportionality, but both of the situations have a ratio of 0.5/1..
12.50/25 = 0.5/1
17.50/35 = 0.5/1
hopefully this can help you in some way! sorry if it doesn't
Related Questions
A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of chocolate chips used, x?
Answers
Tarek will spend at most $31 on gifts. So far, he has spent $16. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answers
Answer:
c<$15
Step-by-step explanation:
$31-$16>c
$15>c
c<$15
(04.01 LC)
The coordinates of point A on a grid are (-2,-4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are
- 4). (5 points)
Answers
Answer:
(2, -4) would be point b.
Step-by-step explanation:
This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis
Answer:
it would be (2,-4)
Step-by-step explanation:
correct me if I'm wrong
Stay Safe
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1. Create your own expression that contains at least one operation and one variable.
example: 5x
2. Describe a situation that your expression can model.
example: x represents the price of a pound of grapes, in dollars. Cheryl buys 5 pounds of grapes. The cost of Cheryl's grapes can be modeled by 5x
Answers
Answer:
4x+5
Step-by-step explanation:
4x represents making 4 dollars per hour and 5 represent the amount of money you began with
Answer:
1) 2x
2) x represent how many candy a person have
2 is the amount of person
The total candy canbe modeled by 2x
Step-by-step explanation:
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answers
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
im so confused, can someone explain this to me? i suck at math
Answers
Answer:
My guess would be that the slope is -3
Step-by-step explanation:
Based on what I was taught, I would use the formula y2-y1/x2-x1
-7 - 2
---------- = -3
-3 - (-6)
Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.
Answers
Answer:
Step-by-step explanation:
x^2= -25
x=5i and -5i
Answer:
The answer is 5
Step-by-step explanation:
x^2= -25
x=√-25
x=5
2(h + 3.5) = -11 whats h?
Answers
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
how can you tell when an equation in one variable has infinitely many solutions or no solution?
Answers
Answer:
A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.
If 1/a and a/2.23 are two real numbers included between 0 and 1, then a =
Answers
Answer: 2
Step-by-step explanation:
theres a chance i could be right
I need help because I was debating if it’s is 5 or 6
Answers
Answer:
it should be 5.5
Step-by-step explanation:
cross multiply and solve as an equation
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answers
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
The vertices of her garden are located at the points (−1,5), (4,2) and (9,−4) on a coordinate grid. If each unit on the grid represents a foot and the material costs $8 per foot, how much will she pay for the material on the side between points (−1,5) and (4,2)?
Answers
Given:
The vertices of the garden on a coordinate grid are (−1,5), (4,2) and (9,−4).
Each unit on the grid represents a foot and the material costs $8 per foot.
To find:
The cost for the material on the side between points (−1,5) and (4,2).
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the above formula, the distance between points (−1,5) and (4,2) is
[tex]d=\sqrt{(4-(-1))^2+(2-5)^2}[/tex]
[tex]d=\sqrt{(4+1)^2+(-3)^2}[/tex]
[tex]d=\sqrt{(5)^2+(-3)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{25+9}[/tex]
[tex]d=\sqrt{34}[/tex]
[tex]d\approx 5.83[/tex]
Now,
1 unit = 1 foot and 1 foot material costs is $8.
So, 1 unit material cost is $8.
Cost of material for 5.83 units is
[tex]5.83\times 8=46.64[/tex]
Therefore, the cost for the material on the side between points (−1,5) and (4,2) is $46.64.
If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges?
Answers
Answer:
6 Apples
Step-by-step explanation:
There would be six apples and 2 oranges left over.
Hope this Helps!
:D
Answer:
I was kind of confused on this one but is it 15 apples?
Step-by-step explanation:
3, 6, 9, 12, 15
4, 8, 12, 16, 20
I think the answer is 15 apples.
Maribel deposited $1,500 in a new account at her bank. -The bank pays 4.5% annual simple interest on this account. -Maribel did not make any additional deposits or withdrawals. What is the balance of the account at the end of five years?
Answers
Answer:
1500+337.50 = $1,837.5
Step-by-step explanation:
You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
Where:
P is the principal amount, $1500.00.
r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:
The interest is: $337.50
Give the Domain and Range for each of the following.
f(x) = {(-2,0); (3,8); (-5, 10); (0,3)}
Answers
Answer:
The Domain are -2,3,-5,0
The Range are 0,8,10,3
I need help with this
Answers
Answer:
First box:
1/8 of 5, 5 x 1/8, 5 divided by 8
Second Box:
8 divided by 5, 1/5 of 8,
Third Box:
5 x 8
Step-by-step explanation:
Kristin has 4 more headbands than Nikki does. Together they have 30 headbands. The equation h + (h+ 4) = 30 can be used to
determine the number of headbands each girl has. What part of the equation represents the number of headbands Kristin has?
A:h
B:h+4
C:4
D:30
Answers
Answer:
A) H+4
Step-by-step explanation:
I do this in a different way, but i'll do it in both
Mine:
30 ÷ 2 = 15
4 ÷ 2 = 2
15+2, 15 -2
17, 13
Kristen Has 17
Yours:
h+(h+4)=30
-4 -4
h+h = 26
2h = 26,
h = 13, Back to the equation, use 13 as a sub. for all the h's
13+(13+4) = 30
13 + 17 = 30
Hope this helps!
Answer:
h + 4Step-by-step explanation:
The number of headbands Nikki has is represented by h, since it is an unknown value. To create a solvable equation, we can only have one variable. Since we know that Kristen has 4 more than Nikki has (4 more than h), we can represent this as h + 4, and solve for h. By doing this, we can then add to h to number 4 and determine how mnay headbands Kristen has.
Henry puts 19 candies in each gift bag. He uses 551 candies. How many gift bags did he fill?
Answers
Answer:
29
Step-by-step explanation:
551/19=29
can u help me solve 8-3(7-4y) i know the answer i just need to kown how i got the answer
Answers
8 - (3x7 - 3x4y) You need to develop between parentheses bcs there is a minus between 8 and 3.
8 - (21 - 12y)
8 - 21 + 12y /!\ A minus before parentheses changes the sign in the parentheses !
12y - 13
In APQR, ZQ = ZP, RP = 13 and PQ = 19. Find the length of QR.
Answers
Answer:
13
Step-by-step explanation:
∠Q ≅ ∠ P ⇒ RP = RQ = 13
Jordie's curtain company is making curtains for a local hotel. He wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Jordie's curtain company wants to make 67 curtains, how many feet of fabric will he need?
Answers
Answer: 201 feet
Step-by-step explanation:
It should be noted that 1 foot = 12 inches. Therefore, 36 inches = 36/12 = 3 feets.
Each cotton uses 3 feets in length. Therefore, 67 curtains will use:
= 67 × 3 feets
= 201 feets
Simplify 2 x2 - y for x = 3 and y = -2.
A. 10
B. 14
C. 20
D. 16
Answers
Answer:
B. 14
Step-by-step explanation:
okay we are going to place 3 where the x variable is and -2 where the y variable is in the equation 2 x2 - y
2 (3*2) - (-2)
the equation now looks like this:
2(6) - (-2)
Since the subtraction sign is in front of the negative number the negative number will turn positive making the equation look like this:
2(6) + 2
we are now going to do the order of operations by multiplying 6 by 2 before adding 2:
6 * 2 = 12 + 2 = 14
So the equation 2 x2 - y = 14
Which triangle shows the incenter at point A?
Answers
Answer: A, i think -_-
Write the equation in y=Mx+B
Answers
Answer:
y=2x-2
Step-by-step explanation:
y intercept is (0,-2) so that is b value. slope is 2 so that is your m value
how to simplify this ......
Answers
4x^-6= 2x^-3
9y^-4= 3y^-2
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
So instead of 2x^-3/3y^-2 make it
2y^2/3x^3
So
The answer will be 2y^2/3x^3
Hope this helps
STEP BY STEP EXPLANATION
choose all that apply
Answers
Answer:
C and D
Step-by-step explanation:
if f(x) = x^2+3x-2, find f(-2)
Answers
Answer:
f(-2)= -4
Step-by-step explanation:
f(-2) = (-2)² +3(-2) - 2
f(-2) = 4 - 6 - 2
f(-2) = -4
How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48
Answers
Answer:
x^(3)+5x^(2)-8x-48=0
I need the answer quickly
Answers
I cannot see the text. If you take another picture zoomed in I will answer it.
Answer:
The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%