Decide whether or not each equation represents a proportional relationship. A.The remaining length (L) of 120-inch rope after x inches have been cut off: 120−x=L b.The total cost (t) after 8% sales tax is added to an item's price (p): 1.08p=t c.The number of marbles each sister gets (x) when m marbles are shared equally among four sisters: x=m4 d.The volume (V) of a rectangular prism whose height is 12 cm and base is a square with side lengths s cm: V=12s2 Problem 3
Answer and Step-by-step explanation: An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same. For example, in general:
Equation: y = mx
[tex]\frac{y}{x}[/tex] = m
m is a constant value, which means is the same.
A. Equation: 120 - x = L
Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.
B. Equation: 1.08p = t
Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.
[tex]\frac{t}{p}=1.08[/tex]
C. Equation: [tex]x=\frac{m}{4}[/tex]
This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:
[tex]\frac{m}{x}=4[/tex]
D. Equation: [tex]V=12s^{2}[/tex]
This equation is NOT proportional because side length is squared, so it is not constant linearly.
Answer:
Step-by-step explanation:
A. Equation: 120 - x = L
Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.
B. Equation: 1.08p = t
Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.
C. Equation:
This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:
Multiple
(3x – 4)(2x²–5x+1)
The points (-5, -6) and (-8, 9) fall on a particular line. What is its equation in point-slope
form?
leon
Answer:
y = 1m - 1
Step-by-step explanation:
f(x) = square root x-3
g(x) = x^2 +3
Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))?
A) The functions are not inverses of each other.
B) The functions are inverses. f(g(x)) = 1
C) The functions are inverses. f(g(x)) = x^2
D) The functions are inverses. f(g(x)) = x
Find the value of x.
1)
59
(6x + 5)
Answer:
Is 59 equal to (6x + 5)?
If so than your answer is: x = 9 [The value of x is 9]
Explanation:
Given 59 = (6x + 5), x is the value that makes 59 = 59.
Therefore:
59 = (6x + 5)
*given*
59 =(6x + 5)
-5 -5
*subtraction property of equality*
54 = 6x
÷6 ÷6
*division property of equality*
9 = x
x = 9
*symmetric property of equality*
_________________________
To check just substitute, simplify, and make sure 59 = 59:
x = 9 → 59 = (6x + 5) → 59 = (6(9) + 5) → 59 = (54 + 5) → 59 = 59
Please Help Quickly!! 8 points
Select the correct answer.
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
0
C.
1
D.
infinite
Answer:
pretty much the answer is 7=4 which isnt possible so theres 0 solutions :)
Step-by-step explanation:
What is the value of x in this triangle?
Answer:
A is the answer
Step-by-step explanation:
3*30 is 90 2*30 is 60 and x*30 is 30 which means 90+60+30 equals 180
16. If mZ3 = 74°, find each measure.
Note: 1 || m
a. mZ1 =
e. m26 =
14-
b. m2=
f. m27 =
3
C. m4=
g. m28=
d. mZ5 =
1 - 74
2- 106
3- 74
4- 106
5- 106
6- 74
7- 106
8- 74
What do you add to 2 5/7 to make 4?
What do you add to 4 2/9 to make 6?
Answer:
For each question, just subtract the bigger number from the smaller one :D
Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?
Answer:
Step-by-step explanation:
Henry is 3 more than twice Nicholas' age. You can write this as :
H = 3 + 2N
Marcus is 9 less than 6 times Nicholas' age:
M = 6N - 9
Since Henry and Marcus are twins, this means H = N.
3 + 2N = 6N - 9
Add 9 to both sides
12 + 2N = 6N
Subtract 2N from both sides
12 = 4N
Divide both sides by 4 to find N.
N = 12/4 = 3
Help it is for Geometry
Answer:
-3/4
Step-by-step explanation:
PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((
-59, -41, -23, -11.
I can see how this can be confusing, Just remember if its a negative number, the bigger it is, the smaller the quantity, if that makes sense.
Algebra, please help ASAP
Answer:
D
Step-by-step explanation:
(-8.9)
how do you do this Coordinate plane?
Answer:
On the right lower corner on the line that is up and down should be on -8 and the left to right should be on positive 9
Step-by-step explanation:
If the radius of the circle is 5 inches, what is the diameter?
10 inches
5 inches
25 inches
2.5 inches
Answer:
10 Inches
Step-by-step explanation:
Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...
5 * 2 = 10.
Therefore, the answer is 10 inches.
Which can represent the intersection of a line and a plane.
A) a segment
B) a ray
C ) a plane
D) a point
I say this because in geometry , a point is said to be the place where a line and a plane meets at empty space (which three dimensional)
Question 4 of 5
Which statement correctly describes the expression 19.3?
A. Both factors are positive, so the product will be positive.
B. One factor is positive and one factor is negative, so the product
will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are negative, so the product will be positive.
SUBMIT
Answer:
Step-by-step explanation:
a
As an accountant, you have calculated income taxes for a customer for the last 3 years. During those three years, the customer made a tax payment of $1,250, received a tax refund of $550, and made a tax payment of $925. The customer also paid a processing fee of $60 each year.
Answer:
The total amount customer paid during those 3 years is $1685
Step-by-step explanation:
We are supposed to find the total amount customer paid during those 3 years
Customer made a tax payment = $1250
He received a refund of amount = 550
So, amount paid by him = 1250-550
Amount paid by him ==700
Now again He made a tax payment = $925
Processing fee = $60
So, Total Amount paid by him =700+925+60
Total Amount paid by him =1685
Hence the total amount customer paid during those 3 years is $1685
Help please brainliest and 63 points!
And please answer correctly :)
Determine the horizontal asymptote for the rational function.
y = 5
y = −5
y = 1
y = −1
Answer:
y = 1
Step-by-step explanation:
horizontal asymptote
This is the value that the graph approaches but never reaches
It approaches 1 but never reaches 1
y = 1
Select the correct answer.
The product of two numbers, x and I + 3, is 550. Which equation could be solved to find the value of the smaller number, x?
CA. 12 + 3.1 = 550
B. 12 + 3 = 550
C. 31 + 3 = 550
D. 322 = 500
Reset
Next
Answer:
the answer on plato is x^2+3=500
Answer this! :) Please
ADRIENNE BIKED 24 MILES IN 4 HOURS. IF SHE BIKED AT A CONSTANT SPEED, HOW
MANY MILES DID SHE BIKED IN ONE HOUR?
1) WHAT IS THE RATE IN THIS SITUATION, WRITTEN AS A FRACTION?
2) WHAT IS THE UNIT RATE?
3) TO FIND THE UNIT RATE, WHAT DO WE DO? WHY?
4) WHAT DOES THE UNIT RATE MEAN IN THE CONTEXT OF THE PROBLEM?
I
5) HOW CAN YOU CHECK YOUR WORK?
Answer:
6 miles in one hour!
Step-by-step explanation:
1, 1/10
2, 6 mph
3, You divide 4 by 24, and you do that to get the answer
4, It means miles per hour, because Adrienne is biking a certain amount of miles in an hour.
5, You can multiply 6 by 4 and it will be 24.
If my answers were correct please mark brainliest <3
What's the fraction of this equation 0.017
The fraction is _______
Given: Y is the midpoint of XZ
Prove: XY = 1/2 XZ
Statements
Reasons
Answer:
The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.
Step-by-step explanation:
We proceed to present the demonstration of the following proposition:
If Y is the midpoint of XZ, then XY = 1/2 XZ.
1) Y is the midpoint of XZ. Given.
2) [tex]XY + YZ = XZ[/tex] Definition of line segment.
3) [tex]XY = YZ[/tex] By 1)
4) [tex]2\cdot XY = XZ[/tex] 3) in 2)
5) [tex]XY = \frac{1}{2}\cdot XZ[/tex] Algebra/Result
Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.
8x+5x (im stupid ik)
Answer:
the answer would be 13x
Step-by-step explanation:
Hope this helps! You are not stupid! Hope you learn how to do it. :)
What is the approximate circumference of the pizza?
Answer:
47.1cm
Step-by-step explanation:
multiply 15 cm by 3.14
Given parameters:
Radius of the pizza = 15cm
[tex]\pi[/tex] = 3.14
Unknown:
Approximate circumference of the pizza = ?
Solution:
The pizza is circular and we take the circumference of a circle to find that of the pizza;
Circumference of a circle = 2 [tex]\pi[/tex] r
Input the parameters and solve;
Circumference of a circle = 2 x 3.14 x 15 = 94.2cm
The circumference of the pizza is 94.2cm
diet cola is on sale, and for $10 you can buy 4 packs of diet cola.
how much does 1 pack of diet cola cost?
Answer:
you divide 4 by 10 to get the answer
10÷4=2.5
A water tank already contains 55 gallons of water when Jenny begins
to fill it. Water flows into the tank at 8 gallons per minute. What is the
volume of water in the tank after 25 minutes?
a. 145 gallons
200 gallons
b. 255 gallons c.200 gallons
d. 1383 gallons
Answer:
200
Step-by-step explanation:
8x25=200
(3.955 x 10') + (2.473 x 103) Do help TwT
Answer:
294.669'
Step-by-step explanation:
Simply use order of aperations and solve for the equation. Perenthesis then addition for this specific situation.
What is g(–3) in the function g(x) = 4x2 + 3?
Answer:
x is equal to -3. So it would be g(-3)=4(-3)+3 and the solve that.
Step-by-step explanation:
Hope this is helpful