Given:
y is proportional to x.
y=20 and x=12.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
Putting y=20 and x=12, we get
[tex]20=k(12)[/tex]
[tex]\dfrac{20}{12}=k[/tex]
[tex]\dfrac{5}{3}=k[/tex]
Putting [tex]k=\dfrac{5}{3}[/tex] in (i), we get
[tex]y=\dfrac{5}{3}x[/tex]
Therefore, the contestant of proportionality is [tex]k=\dfrac{5}{3}[/tex] and the equation for the proportional relationship is [tex]y=\dfrac{5}{3}x[/tex].
A candy store sells 7 packs of bubble gum for $29.33. How much would it cost to buy 3 packs?
Hi there,
Recall how 7 packs for gum sell for $29.33.
Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.
The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.
In this case, the total cost is $29.33, and we receive 7 gum packs at that price.
Therefore, the cost of 1 pack of gum is [tex]\frac{29.33}{7}[/tex], which equates to $4.19.
We now know that each pack of gum costs $4.19.
Hence, 3 packs of gum would cost three times that price.
[tex]4.19 * 3 = 12.57[/tex]
The cost of 3 packs of gum is $12.57.
Hope that helps!
Answer:
$12.57
Step-by-step explanation:
Hope this helps
Bowser ate 4.5 pounds of dog food. That amount is 0.75 of the entire bag of dog food. How many pounds of dog food were originally in the bag?
Answer: 5.25
Step-by-step explanation:
add them
Answer:
6
4.5 is 75 percent of 6
The new iPhone 12 Pro has a length of 5.2 inches and a width of 2.8 inches.
The iPhone 12 Pro Max is slightly larger and has a length of 6.24 inches.
The length and width of the cell phones are proportional.
What is the width, in inches, of the iPhone 12 Pro Max?
ASAP
Answer:
all you gotta is multiply length times width times height to find the area my guy. its a good strategy my 6th math teacher taught me.
Step-by-step explanation:
lmk if this helped. make sure to rate.
Answer:
nswer:
all you gotta is multiply length times width times height to find the area my guy. its a good strategy my 6th math teacher taught me.
Step-by-step explanation:
lmk if this helped. make sure to rate.
Step-by-step explanation:
Calvin went to the candy store. Chocolate candy costs 50 cents each and gum cost 25 cents each. Calvin bought 2/3 as much gum as candy and spent $4. How many candies did he buy? How much gum?
Answer:
candy:6
gum:4
The answer is that because I did systems from a word problem
Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into pieces that are 16 inches long. What is the greatest number of 16-inch pieces that Mr. Trainer can cut from the two wooden boards? (1 foot = 12 inches)
Answer:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches
[tex]1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}[/tex]
One cut is 16 inches
So, we divide the length of the board by 16
[tex]\dfrac{96}{16}=6[/tex]
So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of [tex]6+6=12[/tex] pieces of each 16 inches long can be cut from the two boards.
If you spin the spinner 20 times, how many 5’s? please help
Answer:
4 times you divde 20 and 5 and its 4
Step-by-step explanation:
Answer:
Its 4 Fives
Step-by-step explanation:
If its wrong i'm sorry
What is the quotient of 2.592\times 10^72.592×10 7 and 7.2 \times 10^47.2×10 4 expressed in scientific notation?
The quotient, expressed in scientific notation, is:
Quotient = 0.36 × 10³
Given:
(2.592 × 10⁷) / (7.2 × 10⁴)
To find the quotient of 2.592 × 10⁷ and 7.2 × 10⁴ and express it in scientific notation, we divide the coefficients and subtract the exponents.
Quotient = (2.592 × 10⁷) / (7.2 × 10⁴)
Dividing the coefficients, we get:
Quotient = 2.592 / 7.2 = 0.36
Subtracting the exponents, we get:
10⁷ - 10⁴ = 10⁽⁷⁻³⁾ = 10³
In scientific notation, the coefficient should be between 1 and 10, so we can rewrite the expression as:
Quotient = 0.36 × 10³
Learn more about the scientific notation here :
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HELP I NEED HELP ASAP
I need helping factoring 5p^2-6p-8=0
Answer:
p= -4/5 or p=2
Step-by-step explanation:
Factor left side of equation.
(5p+4)(p−2)=0
Set factors equal to 0.
5p+4=0 or p−2=0
Which equals :
p= -4/5 or p=2
please help asap!!! i’ll give brainliest !!!!!!!
Answer:
points needed hope you under stand
Step-by-step explanation:
Stay safe though
what is 31 divide 8835
and 27 divide 4725
and plss show work thx :)
Answer:
8835 divided by 31 equals
285 with a remainder of 0
4725 divided by 27 equals
175 with a remainder of 0
Make u the subject of the formula.
5u + 13 = 7t – 2ut
john bought a new car for 20,000. if the car depreciates at a rate of 16% each year, what will be the value of the car after 3 years?
Answer:
13214
Step-by-step explanation:
Answer:11,854.08
Step-by-step explanation:
20000(1-0.16)^3
My brain isn't working right now, please help.
Answer:
Down below, hope this helps!
Step-by-step explanation:
The author's message is that a person cannot predict the future without first learning about the past. The author does this by providing an example of how one wants to read without knowing the letters of the alphabet. Obviously, you can't read without first learning the letters of the alphabet. With the reading example, the author is explaining that just like a person trying to read without learning the alphabet first, a person predicting the future without knowing their history first is doing the exact same thing, it's nearly impossible.
Determine if the sequence is arithmetic or geometric. Then, find the common difference or common ratio.
-30, -40, -50, -60, ..
Answer:
Arithmetic.
d = -10.
Step-by-step explanation:
There is a common difference of -10 so it is arithmetic.
What is the product 7(-6 1/8)?? Fast please <3
Answer:
-42 7/8
Step-by-step explanation:
got it right
which two are equivalent expressions?
Answer:
4t and t+t+t+t
Plz mark as brainliest
When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.
the results will be the same.
the horizontal method will be correct when the polynomials have no more than three terms.
the results will never be the same.
Answer:
The result will always be the same
Step-by-step explanation:
The complete sentence is,
When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.
When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the results will be the same. the vertical method will be correct only when the polynomials have no more than three terms.
What are polynomials?A polynomial is a mathematical equation made up of coefficients and indeterminate that can only be solved using the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
A polynomial exists as an expression consisting of indeterminate and coefficients, that concern only the processes of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Vertical addition exists as s procedure of adding where the numbers are lined up in columns according to their place values. Likewise, vertical subtraction exists as a method of subtracting where the numerals exist lined up in columns according to their place values.
To know more about polynomials refer to :
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FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)
Answer:
It would be a trapezoid!
Step-by-step explanation:
Answer:
I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?
I really need help with this, i dont understand
Jake took out an interest-free loan of $3,814.44 from the bank to buy a car. He paid the bank $200.76 each month until it was paid back completely. Which of the following is true? HELP PLEASE
A.
Jake paid his loan back in 21 months.
B.
Jake paid his loan back in 18 months.
C.
Jake paid his loan back in 20 months.
D.
Jake paid his loan back in 19 months.
Answer:
C
Step-by-step explanation:
Can i have Brain List
Stephen purchased a guitar, which was originally priced at $80 but
discounted at 25%. He also had to pay 5% sales tax. What amount did
Stephen pay to purchase the guitar? *
Answer:
57 dollars
Step-by-step explanation:
1. Solving the 25% discount
25% = .25
80 x .25 = $20
80 - 20 = $60
** We subtracted 80 from 20 because 25% of 80 is 20 BUT We're taking 25% OFF of 80 because it was a discount.
2. Solving the 5% Tax
5% = .05
$60 x .05 = 3
$60 + 3 = $63
**Adding tax to the discounted price
I hope this helps!
PLEASE HELP ME
Given the function f (x) = 3x — 2, what is the value of f (3)?
A.
7
B.
-2
C.
12
D.
25
Answer:
A. 7
Step-by-step explanation:
f(x) = 3(3) - 2
f(x) = 9 - 2
f(x) = 7
good luck, i hope this helps :)
Answer:
B = -2
Step-by-step explanation:
pla help asap giving 15 points serious people only
Answer:
3b+17
Step-by-step explanation:
First you distribute
=(3)(b) + (3)(4) + 5
=3b + 12 + 5
Then you combine the like terms:
=3b + 12 + 5
=(3b) + (12 + 5)
=3b + 17
Answer:
3b+17
Step-by-step explanation:
3(b+4)+5
3b+12+5
3b+17
Given the quadratic expression, find the value of C to complete the square. Then write the expression as a binomial squared.
x^2-18x+C
Answer:
[tex](x - 9)^{2} [/tex]
Answer:
81
Step-by-step explanation:
Move −18x, so
x^2+c−18x
To find the c value
c =(b/2)^2
divide the coefficient of x by 2 and square the result.
Divide 18 by 2
(-1⋅9)^2
Multiply −1 by 9
(−9)^2
Raise −9 to the power of 2 and get your answer
=81
The best answer gets brainiest please help!
Instructions: Convert the following problems into slope-intercept form aka y=mx+b
Question:
1. 5x−3y=−15
2. x+y=−7+2x
3. 3(x−4)−6=3y
Answer:
Step-by-step explanation:
1.y=5/3x+5
2.y=x-7
3.y=x-6
Answer
2
Step-by-step explanation:
x+y=-7+2x
Reorder the terms:
y = -7+ 2x
Solving
y = -7 + 2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.Simplifying
y = 7 + 2x
Tyree and four friends go to the movies. Each person buys a movie ticket for $9, a snack for $6, and a drink for $4. Determine the total cost for everyone. PLZ HELP
Answer:
$95
Step-by-step explanation:
(5x9) + (5x6) + (5x4)= 45 + 30 + 20 =95
What is the circumference of the following circle?
Answer: 31.41
Step-by-step explanation:
What type of triangle is formed with sides of length 11, 13, and 15?
Answer:
scalene triangle
Step-by-step explanation:
Please answer! I give brainliest when I can! It make my day :-) ASAP :-(
Write a formula for the given measure. Let A represent the area in square feet, and h represent the height in feet. Identify which variable depends on which in the formula.
the area of a trapezoid with base lengths of 7 feet and 11 feet
A=
Answer:
A=1/2h(7+11) or A=1/2h(77)
The area is dependent on the height and the height changes based on the length of both of the bases
Step-by-step explanation: