Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?
1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67

b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$

Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!

Answers

Answer 1
Table B represent a proportional relationship,where the constant of proportionality is 0.025
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.

Related Questions

I WILL MARK YOU AS BRAINLIEST
PLEASE HELP AS SOON AS POSSIBLE ​

Answers

Answer:

6

Step-by-step explanation:

Answer:

$15

Hope this helps! Please mark Brainliest!

For Sara's birthday trip, she and her friends are renting a beach condo. The cost per
person for the condo and gas can be found using the function c=56+9p. What is a
reasonable range for this situation if there are at least 5 people but no more than 10
that can attend?
{101, 110, 119, 128, 137,
146}
5 101 = y = 146
{5, 6, 7, 8, 9, 10}

Answers

Answer: it is {101, 110, 119, 128, 137, 146}

Step-by-step explanation:

What is 3n² = 243

I NEED THIS ANSWER QUICKLY!!!!

Answers

Answer:

n=9

Step-by-step explanation:

You use reverse PEMDAS.

First you would divide by 3 on both sides. This should give you:

n²=81

Then you would find [tex]\sqrt{81}[/tex]. Which is 9.

LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE

Answers

okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

On his federal income tax return, Benito Silva, a single taxpayer, reported income from wages, $27,820; tips, $5,495; and interest earned, $1,466. Benito had these adjustments to income: payments to a retirement plan, $2,000; penalty for early withdrawal of savings, $19. His employer withheld $3,985 from his pay for federal income tax. Benito claims the standard deduction of $5,450 and an exemption of $3,500. Find Benito's adjusted gross income .

Answers

Answer: 50,735

Step-by-step explanation:

i need math help please

Answers

Answer:

n+11=15

  -11 -11

n=4

Step-by-step explanation:

subtract 11 from both sides

Answer:

-11 -11

n=4

Step-by-step explanation:

subtract on both sides

-11

you get left with n=4

Explain how to solve 2(x+3) = 10. What properties did you need to solve the equation?

Answers

Answer:

x = 2, Inverse property of subtraction

Step-by-step explanation:

Simplifying

2(x + 3) = 10

Reorder the terms:

2(3 + x) = 10

(3 * 2 + x * 2) = 10

(6 + 2x) = 10

Solving

6 + 2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 2x = 10 + -6

Combine like terms: 6 + -6 = 0

0 + 2x = 10 + -6

2x = 10 + -6

Combine like terms: 10 + -6 = 4

2x = 4

Divide each side by '2'.

x = 2

Simplifying

x = 2

Answer:

x = 2

Step-by-step explanation:

Apply the distributed property, so it now looks like this: 2x + 6 = 10Subtract 6 to each side, so it now looks like this: 2x = 4Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 2

I hope this helps!

QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *

Answers

Answer:

m∠PQR = (7x + 6)⁰

Step-by-step explanation:

Please find the diagram in the attachment.

Mathematically, since the angle PQR is bisected by the given line, it means that;

RQS + PQS = PQR

Thus;

PQR = (2x + 6) + 5x

PQR = 2x + 6 + 5x

PQR = 7x + 6

m∠PQR = (7x + 6)⁰

which of rhe following equations of the line is the most convient to use when there are two points identified on the line? A.)y=mx+b. C.) x/a+y/b=1 B.) y-y1=m(x-x1) D.)y-y1=y2-y1/x2-x1(X-X1)​

Answers

Answer:

A

Step-by-step explanation: I am not for sure but I would think that cuz if your dealing with lines and point you gonna end up doing slope and slope is Y=MX+B

Kaitlyn is making big goods for charity bake sale he places a tray of scones a tray of muffins and a tray of cookies in the oven discounts bake for 15 minutes the muffins bake for 12 minutes and the cookies bake for 10 minutes when one trays done he removes it and replace it with another tray at the same I don't how many minutes after kaylan put the trays in the oven when he 1st remove the scones muffins and cookies at the same time

Answers

Answer:

So:

Counting from a given time t = 0min, we know that:

Each 15 mins she removes the scones

Each 12 mins she removes the muffins

Each 10 mins she removes the cookies.

So when will she remove both at the same time?

Well, this will happen in the smallest common multiple of 15, 12 and 10.

or at LCM(10, 12, 15).

How we find it?

well, in this case is easy.

All the multiples of 10 end with a zero.

So let's find the multiples of 12 and 15 that also end with a zero:

12*6 = 60

15*4 = 60

and

10*6 = 60

So the LCM(10,12,15) = 60.

Another way is by calculating:

10*12*15/(GCF(10,12)*GCM(12,15)*GCM(10,15)

Where GCF = greatest common factor.

Between 10 and 12 is 2.

Between 12 and 15 is 3

Between 10 and 15 is 5.

Then:

10*12*15/(2*3*5) = 60.

This means that 60 minutes after she starts, she will remove the scones, muffins and cookies at the same time.

Sean's grade breakdown goes something like this

60%- Test
20%- Homework
10%- Organization
10%- ALEKS (math website)
He got 85% on his test. Out of the 9 homework problems he has 100% on all of them. Then for the organization, it's 97% out of the 10% it makes up. He also has a 96 on ALEKS which makes up 10% out of the whole grade. What is his current grade percentage?

Answers

Answer:

90.3

Step-by-step explanation:

.6×.85=.51

.2×1.00=.2

.1×.97=.097

.1×.96=.096

weight in %, times, grade in %

then add them up

.51 + .2 + .097 + .096 = .903

.903=90.3%

Lisa wants to arrange the numbers below in order from LEAST to GREATEST. 1/5, -0.3, 0.01,-1/-4 Which of these represents her list?

Answers

Least to Greatest

-0.3, 0.01, 1/5, -1/-4

Answer:-.3 , .01 , 1/5 , -1/-4

Step-by-step explanation:

Anthony wants to purchase an electric guitar. The price of the guitar, with tax, is $599. He can save $25 per
month. How long will it take him to save for the electric guitar?


Answers

Answer:

it will take him 24 months to save the guitar

Step-by-step explanation:

Kelly ran 3 miles fewer than twice as far as Jim. Jim ran
m miles. Which expression represents how far Kelly ran?

Answers

Answer:

2m - 3

Step-by-step explanation:

she ran 3 miles less than twice as far as Jim

Your financial advisor tells you to put away 15% of your take home pay. If you make
$1,600 and put away $250 are you putting away enough???

Answers

Answer: Yes?

Step-by-step explanation:

15% of 1600 is 240 so i think so

please estimate the answer to
23.4x13.8/0.18

please make it quick, thanks!

Answers

Answer:

1 794 that good answer I think

Find the measure of the missing angles.

Answers

Answer:

d =  103

e =  22

f = 55

Step-by-step explanation:

ok so the angles on the other side 22 and 103 are equal to 2 of the angles on the other side

the whole line is equal to 180

103 + 22 = 125

180 - 125 = 55

d =  103

e =  22

f = 55

Answer:

d = 103

e= 22

f= 55

Step-by-step explanation:

the opposite side of d equals 103 and they are adjacent which means they have the same measure

same goes to e the opposite side of it equals 22

and then for f a full line measure equals 180

so 103+22= 125

180-125= 55

there you have it :)

please help I don't understand​

Answers

Answer:

1<x≤8

Step-by-step explanation:

x is greater than one, but is less than or equal to 8

Developing spiritual wellness includes:
A.
Finding an inner peace
B.
Participating in self-nurturing activities
C.
Respecting other people
D.
All of the above

Answers

Answer:

The answer is D all of the above

Step-by-step explanation:

Being spiritually well means to be clean and pure thus meaning having inner peace, participating in self nurturing activities and being respectful of others.

All of the above is the answer to ur question

Using suitable identity evaluate 105 × 95​

Answers

Answer:

105 × 95​

(100+5)  × (100-5)

(100)² - (5)²

10000 -25

9975

Step-by-step explanation:

105*95 is equal to 9975

Why you do not have to do any computing or math do solve 15 x 0 x (13 + 7)? Explain.

Answers

Answer:

because when you do 15*0 it =0 so anything else multiplied by 0 is 0

Step-by-step explanation:

3.45 x 10^-3=

What is this answer

Answers

Answer:

0.00345

Step-by-step explanation:

Answer:   .00345x

Step-by-step explanation:

.00345

Find the slope of a line parallel to the given line:

7x - 3y = -6

Answers

Answer:

7/3x

Step-by-step explanation:

parallel lines have the same slope, so you would have to find the slope of the first line.

7/3x

Hope this helps :-)

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-6); y=-5x+2

Answers

Answer:

The equation in the slope-intercept form is

y = -5x - 41

Step-by-step explanation:

The given equation in the question is;

y = -5x + 2

The equation of a straight line graph can be written in the form;

y = mx + c

where m is the slope and c is the intercept

From here, we can see that the slope m is -5

Since the line is parallel to the new line we are trying to write its equation, it means that they have the same value of intercept.

Hence, the slope of the new line is also -5

Now, we can write the equation of the new line as;

y = -5x + c

we need to get the value of c here however

To get the value of c, we need to input the value of x and y

From the graph, x = -7 and y = -6

Substituting these values, we have;

-6 = -5(-7) + c

-6 = 35 + c

c = -6 -35

c = -41

So the equation of the new line will be;

y = -5x - 41

1. given w(x)=4x
a. graph r(x)=4 x w(x). then complete the table of corresponding points on r (x).

Answers

Answer:

Step-by-step explanation:

a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically  stretched by a scale factor of 4.

Table for the corresponding points will be,

x               w(x)                  r(x)

0                0                  0×4 = 0

15              60               60×4 = 240

30             120             120×4 = 480

45             180             180×4 = 720

b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).

c). Since, w(x) = 4x

   and r(x) = 4[w(x)]

   r(x) = 4(4x) = 16x

  r(x) = 16x

Rasheed buys candy bars for $0.63 each. He sells them for $1.50 a piece. Write an equation
to show how many candy bars Rasheed will need to sell to make $522.00. Solve that
equation.

Answers

Answer:

$126

Step-by-step explanation:

Well first you would have to see how much the total sale of 700 chocolate bars is,

700*1.20=$840

Next you need to multiply the 15% thats going to club shirts,

$840*0.15=126

So your answer is $126

Simplify the following expression using the commutative and associative properties (combining like terms);
-3x + 7 -12 + 5x
Its not showing a actual answer

Answers

Answer:

the answer will be

2x-5

Since there are 36 inches in one yard, how many inches are in 3 7/8 yards?

Answers

Answer:

I got 31.5

Step-by-step explanation:

7/8×36=31.5

What is the slope and y-intercept of the linear equation y = 5x - 4?
m2 =
ь

Answers

Answer:

Where m is the slope and b is the y-intercept. So in this case m=5 and b=-4, or in other words the slope is 5 and the y-intercept is (0,-4) (since x=0 for all y-intercepts).

Answer:

The slope is 5 and the y-intercept is -4.

Step-by-step explanation:

The slope intercept formula is y=mx+b. 5 is the m and -4 is the b. Hope this helps!

Find the equation of the line

Y=__x + __

Answers

answer: y= -3/2x + 3

explanation:

-3/2x is the slope because it’s going down 3 and right 2

3 is the y-intercept because the line across mrs at y=3
Y=-3/2+3




Pick any 2 points and do y2-y1 divided by x2-x1 and that’s how you get m and any point that touches the y axis gives you y
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