A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer 1

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]


Related Questions

3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb

Answers

8000 pounds is required to produce 200 lb of refined sugar

How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?


It takes 200 lb of sugar cane to produce 5 lb of refined sugar

For 1 lb of sugar cane, the number of refined sugar that will be produced is

200= 5

x= 1

cross multiply

5x= 200

x= 200/5

x= 40

The number of pounds of sugar cane required to produce 200 lb of refined sugar is

= 40 × 200

= 8,000

Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars

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Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert

Answers

Answer:

No

Step-by-step explanation:

Given that:

Plastic sleeves needed = 250

Number of baseball cards = 3084

Sleeves held per card = 12

To determine the number of sleeves needed ;

Number of baseball cards / number of sleeves per card

= 3084 / 12

= 257

No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257

PLz answer this Question

Answers

-3,6 i'm pretty sure
y=3/6+(-3)
I hope that helps!!

A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is

Answers

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-2, 1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{1-3}{-2-4}[/tex]Subtract:                        [tex]m=\frac{-2}{-6}[/tex]Simplify:                         [tex]m=\frac{1}{3}[/tex]

Answer:

1, 1/2 2, 4/3

Step-by-step explanation:

If we graph each points. Slope = rise/run

1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified

2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.

5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.

Answers

A. Yes because -2(2-4) does equals =4
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

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an equation of the line with a slope of 2 and y-intercept of 9

Answers

Answer:

y = 2x + 9

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 9

Step 2: Write linear equation

Slope-Intercept Form:   y = 2x + 9

The function g(x) = |x – 6| – 8 is graphed. What is the range? {y | y > –8} {y | y ≥ –8} {y | y < –8} {y | y is all real numbers}

Answers

Answer:

The answer is B {y | y ≥ –8}

Step-by-step explanation:

I just did it

Answer:

(B) {y | y ≥ –8}

Step-by-step explanation:

On a coordinate plane, an absolute value graph has a vertex at (6, negative 8).

The function g(x) = |x – 6| – 8 is graphed. What is the range?

{y | y > –8}

{y | y ≥ –8}

{y | y < –8}

{y | y is all real numbers}

Find the value of x and y.

Answers

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-

bedroom condo. The total rent she receives is $1240. She needs to make repairs on the

condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-

bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total

repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.

How much is the rent for all three condos? Define your variables then write and solve a

system of equations.

Answers

Answer:

1 bedroom = $280

2 bedroom = $400

3 bedroom = $560

Step-by-step explanation:

Given that :

Total rent received = 1240

Rent amount of 3 bedroom = 2 times rent of 1 bedroom

Let 1 bedroom = x

2 bedroom = y

3 bedroom = 2x

x + y + 2x = 1240

3x + y = 1240 ---(1)

Repair cost :

10% of x = 0.1x

20% of y = 0.2y

30% of 2x = 0.6x

0.1x + 0.2y + 0.6x = 276

0.7x + 0.2y = 276 - - - (2)

From (1)

y = 1240 - 3x

0.7x + 0.2(1240 - 3x) = 276

0.7x + 248 - 0.6x = 276

0.1x + 248 = 276

0.1x = 28

x = $280

1 bedroom = $280

3 bedroom = $280 * 2 = $560

2 bedroom = $1240 - $840 = $400

Susan makes a purchase of $175 and is charged 7.75% for sales tax. What is the total cost of the purchase if Susan charges it on a credit card with a daily interest rate of 0.039% and pays the balance off at the end of 30 days? a. $176.17 b. $186.70 c. $190.77 d. $200.26

Answers

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

What is the percentage?

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

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Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number

Answers

Answer:

99 problems

Step-by-step explanation:

27 problems solved, x problems unsolved

27/x to 3/11

27/3 = 9

3/11(9/9)

27/99

There are 99 problems in Jennifer's homework.

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Answers

POINT A I had the same question in my math class !!!

Please help me I don’t understand $!!!!!

Answers

9514 1404 393

Answer:

  a) f: all real numbers except 1 and 2; g: all real numbers except 2

  b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote

  c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2

      g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2

  d) f(x) is also undefined at x=1

Step-by-step explanation:

a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.

The zeros of the denominator of f(x) can be found by factoring it.

  x^2 -3x +2 = (x -1)(x -2)

These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).

  domain of f(x): all real numbers except x=1 and x=2

Then, by inspection, the domain of g is similar, but a little different:

  domain of g(x): all real numbers except x=2

__

b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.

  [tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]

There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*

__

c) The difference between the two functions is that f(x) is undefined at x=1.

  x = -2, -1, 0, 1, 2, 3, 4

  f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2

  g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2

__

d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.

_____

* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY

Answers

The answer is A : y=-1/5x+1 ..... I checked on desmos

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1

how to change percentage to degree ​

Answers

Answer:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. First convert the percentage into a decimal. If you multiply 360 by 0.90, you get the degree measure that corresponds to the percentage, which is 324.

Step-by-step explanation:

can someone please help me with these two

Answers

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

Z-5=8 what is the answer

Answers

Answer:

z = 13

hope it helps ;))

A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm

Answers

C) 02cm is the correct answer
40\5/4 is 2

A baseball player got 61 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the​ games? The player had nothing hits in the rest of the games.

Answers

Answer:

[tex](61-h)[/tex]

Step-by-step explanation:

Total number of hits by baseball player in one season = 61

Number of hits in one game = [tex]h[/tex]

To find:

The expression to represent the number of hits that the player got in the rest of the games = ?

Solution:

Number of hits that the player got in one game = [tex]h[/tex]

Let the number of hits that the player got in rest of the games = [tex]x[/tex]

As per the given question statement,

The sum of [tex]h[/tex] and [tex]x[/tex] will be equal to 61.

[tex]h+x=61\\\Rightarrow \bold{x =61-h}[/tex]

Therefore, the player had [tex](61-h)[/tex] hits in the rest of the games.

7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.

Answers

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

I will give brailiest to whoever needs it!

Answers

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p

Answers

-10; b would equal -10 because when you multiply numbers with exponents, you add the exponents. the product would be 81^-10, so 81 is in the a spot and -10 is in the b spot

Answer:

-10

Step-by-step explanation:

So its A :}

The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.

Answers

Answer:

[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]

[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]

The parabola opens to the right (horizontally)

Step-by-step explanation:

We need to note a few basic rules about focuses and directrix’s of a parabola.

1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry

2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola

3. The directrix is always the same distance away from the vertex as the focus

If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)

These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!

The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.

Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.

So our vertex is at [tex](-3, 2)[/tex].

We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]

In conclusion

The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)

Hope this helped!

HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *

Answers

Answer:

true

Step-by-step explanation:

Find the value of the missing angle

Answers

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

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Mr. Donald's age is 7 times of 1/5 of the total of students in this class plus 12 minus 1. Assuming this class has 25 students in total. What is Mr Donald age? (PLS HELP!! ILL GIVE BRAINLIEST AND EXTRA POINTS!! IT MAY SEEM LONG BUT ITS REALLY NOT)Read the passage:Major cities all over the world are changing color. The tall buildings that make up the landscape of these urban environments are becoming greener. People are trying to help the environment and have found that green roofs are one way to do so. By planting grass and small shrubbery on the tops of buildings, the environment is getting a helping hand.It is more expensive to build a green roof than it is to lay asphalt or shingles on a roof, but the trend is growing. The basic green roof requires a frame, waterproof membrane, gravel for drainage, fibrous material to retain moisture, soil for planting, and a barrier that prevents roots from penetrating the building.Green roofs started in Europe and are now gaining a strong foothold in the United States. The largest green roof in New York City is built on the roof of a processing and distribution facility. It is actually the biggest green roof in the country. Being in New York, it has faced snow, rain, freezing, and thawing. It has survived it all.The city of Chicago, Illinois, now has more green roofs than any other U.S. city. There are 7 million square feet of green roofs planted across the city. Toronto, Canada, is the first city in the western hemisphere to mandate green roofs on all new tall buildings. Green roofs are beneficial, not only to the environment, but also to the cities that build them. A recent study in Toronto suggested that if 75 percent of the flat roofs were greened, the city could save $37 million a year on storm water management and energy bills.What evidence does the author use to support the idea that urban environments are becoming greener?A) Being in New York, it has faced snow, rain, freezing, and thawing. It has survived it all.B) The largest green roof in New York City is built on the roof of a processing and distribution facility.C) It is more expensive to build a green roof than it is to lay asphalt or shingles.D) People are trying to help the environment and have found that green roofs are one way to do so.(Here is an image if needed) : 2. H(x) is a quadratic function and H(1) = 1, H(-2) = 16, and H(3) = 11. What is the value of H(-1)?A. 7B. 3C. -3D. 8E 5 Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. 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