Answer:
Table B shows a proportional relationship between x and y
Step-by-step explanation:
x y
1 0.5
2 1
7 3.5
8 4
It is clear from the table that y varies directly with x.
Using the formula
y ∝ x
y=kx
Where k is the constant of proportionality
In order to find 'k',
k=y/x
Putting the values of x and y from the given table to determine the constant of proportionality
For (1, 0.5)
k=0.5/1=0.5
For (2, 1)
k = 1/2 = 0.5
For (7, 3.5)
k = 3.5/7 = 0.5
For (8, 4)
k = 4/8 = 0.5
As the value of the constant of proportionality 'k' is the same.
Thus, table B shows a proportional relationship between x and y
Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include
hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage
student attendance while still covering the cost of the band and the food.
1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.
Answer:
Band A:y=700
Band B:y=550+1.50x
Step-by-step explanation:
Band A: since they are a fixed rate no matter how many students the equation would be y=700 . There is no need for x since there is no extra price for students
Band B: Since this band charges 550 plus 1.50 per student we will need a x in our equation
y=550+1.50x
The difference between the two equations is that in Band B we need to add the price per student.
6x/5 - x = x/15 - 10/3
Answer:
x=-25
6x/5 - x = x/15 - 10/3
x/5 = x/15 - 10/3
3x = x - 50
3x - x = -50
2x = -50
x = -50/2
X=-25
Answer:
1the answers is
email is 3rd
The bike store marks up the wholesale cost of all of the bikes they sell
by 30%. Andre wants to buy a bike that had a wholesale price of $125.
What is the marked up retail cost of this bike? (Type your answer as a
number price without units-$) *
5d-3+2d=4d+9. I need help can you help me solve this problem
Answer:
D=4
Step-by-step explanation:
Answer:
d=4
Step-by-step explanation:
5d - 3 +2d = 4d +9
7d-3=4d+9
-4d -4d
3d-3=9
+3 +3
3d=12
divide both sides by 3
d=4
2x – 3y = 17 –3x + y = –1
Answer:
can u rewrite the questions
Step-by-step explanation:
Simplify 12x^7y^3 divided by 6x^3y
Answer:
2y^3x^7-3y
Step-by-step explanation:
I had the same problem on my test and got it right trust me
The expression 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
To simplify the expression, we can divide the coefficients and subtract the exponents of the variables with the same base.
Therefore:
12(x⁷)(y³) divided by 6(x³)(y)
= (12/6)(x⁽⁷⁻³⁾(y⁽³⁻¹⁾)
= 2x⁴y²
Therefore, 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
To learn more about Polynomials;
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a savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?
===========================================
Work Shown:
The given values are
P = 100 = amount deposited (principal)r = 0.08 = decimal form of the annual interest raten = 4 = compounding frequencyt = 3 = number of yearsWhich means,
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 100*(1+0.08/4)^(4*3) .... plug in given values
A = 126.824179456254 ..... value is approximate
A = 126.82 ...... round to the nearest cent
The balance of the account after three years is $126.82
Answer:
124 dollars
Step-by-step explanation:
.08 times 100 equals 8
eight times three is twenty four
that is the simplest answer. if the question had any further interests it might of been 126 or even 125.97
PLEASE HELP! BRAINLIEST IF CORRECT!
A certain crate can hold up to 1700 pounds when shipped. An item that weighs 110 pounds was placed in the box. If the variable "w" stands for the amount of additional weight the box can hold, which of the following units could apply to that variable?
A. inches
B. meters
C. gallons
D. pounds
I think it's d c is measuring water
Answer:
The answer is D. Pounds
how to multiply 4 x 800 - VALIDS
Answer:
4x800= 3,200
Step-by-step explanation:
Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
OC. (f+ 9)() = 3r- 2x+ 14
O D. (f+ 9)() =-3*- 2x-14
SUBN
Answer:
C. (f+ 9)() = 3r- 2x+ 14
Step-by-step explanation:
Answer ASAP!! There is only a blank circle on the left
Answer:
i think its 1000
Step-by-step explanation:
-22 + (-16)
Please help!
Answer:
-38
Step-by-step explanation:
What is the equation in slope intercept form of the line that passes through the point (2,2) and is perpendicular to the line represented by y=2/5x + 2
Answer:
y=
Step-by-step explanation:
Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.
y=-5/2x+b
2=-5/2 (2) +b
7=b
y=-5/2x+7
Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v? a. The vectors form an obtuse angle of approximately 93°. b. The vectors form an obtuse angle of approximately 96°. c. The vectors form an obtuse angle of approximately 127°. d. The vectors point in opposite directions.
Answer:
D) The vectors point in opposite directions.
Step-by-step explanation:
got it right on edge :)
see graph below
Answer:
D. The vectors point in opposite directions.
Step-by-step explanation:
help now please i need help
Answer:
C
Step-by-step explanation:
Francice says 86 divided by 4 is 20 with a reminder of 6 she reasons it's correct because ( 4x20 + 6 = 86 what mistake did franchise make. ( if you can answer this ill give you 40 brainless.
Answer:
Step-by-step explanation:
Francice says 86 divided by 4 is 20 with a reminder of 6 she reasons it's correct because ( 4x20 + 6 = 86 what mistake did franchise make. ( if you can answer this ill give you 40 brainless.
i dont know if this is it or not here 436
The remainder should be 2, not 6. Francine mistakenly added 6 instead of 2, leading to the incorrect conclusion. The correct statement is that 86 divided by 4 is 21 with a remainder of 2.
Francine made a mistake in her reasoning. The correct statement would be that 86 divided by 4 is 21 with a remainder of 2, not 20 with a remainder of 6.
Let's analyze her reasoning using the equation she provided:
4x20 + 6 = 86
If we multiply 4 by 20, we get 80, not 86. So, the correct equation should be:
4x20 + 2 = 86
By solving this equation, we find that:
80 + 2 = 86
Hence, the remainder should be 2, not 6. Francine mistakenly added 6 instead of 2, leading to the incorrect conclusion. The correct statement is that 86 divided by 4 is 21 with a remainder of 2.
For more details of remainder :
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)
Evaluate: 4+8= 2 (6 - 3)
16
33
25
18
Done
HURRY
PLEASE HELP ME !! ILL GIVE YOU BRAINLIEST
Write the equation of the line
Answer:
The equation of the line is
[tex]y = \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Remember:
[tex]slope = \frac{rise}{run} [/tex]
If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108 sq units, im curious how it got there
Answer:
Please check explanations
Step-by-step explanation:
Mathematically, the area of a triangle
A = 1/2 * b * h
b is base, h is height
For 12 square units, we can have a base of 6 and a height of 4
By tripling the dimensions for the second triangle, we will have a triangle of 18 by 12
So the new area is;
A = 1/2 * 12 * 18
That was how we got 108 square units
please help and don’t answer if you don’t know
Answer:
2 6
4 20
10 110
-3 6
5 30
7 56
1 2
[tex]rule \: \: y = {x}^{2} + x[/tex]
Step-by-step explanation:
First thing to do is look for a pattern with the current data. What I found was the pattern, ahich is the rule. See below.
[tex]y = {x}^{2} + x[/tex]
Now insert the given values for x and y into the rule.
[tex]y = - {3}^{2} - 3 \\ y = 6 \\ \\ 30 = {x}^{2} + x \\ x = 5 \\ \\ y = {1}^{2} + 1 \\ y = 2[/tex]
what is the opposite -2/5
Answer:
it would be a positive 2/5
Step-by-step explanation:
Answer:
2/5 just not negative anymore!
Step-by-step explanation:
PLS HELPP ME , ILL GIVE BRAINLIEST IF ITS A REAL ANSWER PLS
Answer:
For the chart, the missing number on top is 10. the bottom numbers are 1.5 then 9.
For the question, all of the numbers equal the ration 5:3.
Question 2: Yes. 30/x=2/4 which equals 60 (minutes) which is an hour.
Step-by-step explanation:
1A:
2.5 amount of water - 1.5 amount of pasta
10 amount water - 6 amount pasta
15 amount water - 9 amount pasta
2.5 : 1.5
5 : 3
10 : 6
15 : 9
1B. these quantities are proportional because they can all be simplified to the same unit rate of 5 : 3.
2. Johnny is correct. The rate is 4 : 2, with a unit rate of 2 : 1. If you multiply both sides by 30 (how many inches deep the hot tub is) you get a ratio of 60 : 30, meaning it would take an hour to fill up the tub.
To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First equation: 4x − 3y = 34
Second equation: 3x + 2y = 17
1.The first equation should be multiplied by 2 and the second equation by 3.
2.The first equation should be multiplied by 2 and the second equation by −3.
3.The first equation should be multiplied by 3 and the second equation by 4.
4.The first equation should be multiplied by 3 and the second equation by −4.
Answer:
Multiply the first equation by 2 and the second equation by 3 to eliminate y
Step-by-step explanation:
First equation: 4x − 3y = 34
Second equation: 3x + 2y = 17
Multiply the first equation by 2 and the second equation by 3 to eliminate y
2( 4x − 3y = 34 ) = 8x -6y = 68
3( 3x + 2y = 17) = 9x +6y = 51
Add the equations together
8x -6y = 68
9x +6y = 51
----------------------
17 x = 119
The correct answer should be A.
Answer the two following question and will mark Brainliest
Answer:
Max: (-2,5)
Min: (-6,-4)
Answer:
(-2, 5) for the max and (-6, -4) is the min. That if the question is talking about max and min graph points!
Step-by-step explanation:
Hope it helps!
What is the greatest common factor (GCF) of 54 and 45?
A.
9
B.
270
C.
6
Answer:
Step-by-step explanation:
Letter A?
Please helpp
-8x +(-56)=16
Answer:
x = -9
-8x + -56 = 16
-8x - 56 = 16
-8x = 16 + 56
-8x = 72
x = 72/8
x= -9
Answer:
-9
Step-by-step explanation:
-8x + (-56) = 16
Take away -56 from both sides
-8x = 72
Divide both sides by -8
x = -9
water flows from a faucet at a constant rate. Kian measures 8 cups of water in 6 second s. What is the constant proportionality for the relationship of cups of water to minutes
PLEASE HELP WILL GIVE 15 POINTS
Answer choices-
A- (0,8)
B- (4,0)
C- (10,0)
D- (0,10)
Junior's brother is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 1, start fraction, 1, divided by, 5, end fraction of his brother's height.
Answer:
1 4/5 meters
Step-by-step explanation:
Juniors brother = 1 1/2 meters tall
Junior is 1 1/5 of his brother height
Junior = 1 1/5 of 1 1/2
= 6/5 × 3/2
= 6 * 3 / 5 * 2
= 18/10
= 1 8/10
= 1 4/5 meters
Junior is 1 4/5 meters tall
Answer:
1 4/5
Step-by-step explanation:
its on khan (: trust me