Which of the following situations represents a linear relationship?
A.
A savings account gains 3 percent in interest annually.

B.
The enrollment at a university has doubled every 5 years since 1980.

C.
An employee is paid $12 for each hour worked.

D.
A company is increasing the volume of a cylindrical container by increasing its radius as the height remains fixed.

y = - 5

substitute the value of x = 4 into the equation and solve for y

- 12 + 9y = - 57 ( add 12 to both sides )

9y = - 45 ( divide both sides by 9 )

y = [tex]\frac{-45}{9}[/tex] = - 5

-3(-4)+9y=-57

12+9y=-57

9y=-57-12

9y=-69

9y/9=69/9

y=-23/3

1 gallon - 3.5 $

x gallons - 15 $

X= (1×15)/3.5=4.3

You can't buy a third of gallon, so the maximum number is 4

Answer: 4 gallons

Make an equation to solve this problem. The cost of a gallon of orange juice is $3.50, so we can show this using the expression 3.50o, where o represents the number of gallons of orange juice that someone buys.

We can put the expression 3.50o into an equation, and make the expression equal to 15 because that is the amount of money you supposedly have.

3.50o = 15, divide both sides of the equation by 3.50.

o = 4.28571428571, but you cannot have a fraction or decimal of a gallon of orange juice, so we would always round these kinds of problems down to the nearest whole number.

4.28571428571 rounds down to 4 gallons of orange juice, so the answer is 4 gallons of orange juice is the maximum amount you can buy with $15.

Answer:

so depending if you want x to y ratio or y to x switch the lowe numbers around.

Step-by-step explanation:

table A is 5/4

Table B is 3/4

Just divide the y and x to get the ratio.

Answer

0.9063

Step-by-step explanation:

(100.7)*(0.009)

The result of multiplying 100.7 by 0.009 and rounding to the hundredths place is 0.91, considering that you round up when the next digit is 5 or greater.

When multiplying 100.7 by 0.009, a calculator might show an extended result such as 0.9063. However, if we need to report our answer rounded to the hundredths place, we would need to consider the digit in the thousandths place to determine whether to round up or down. In this case, the digit to be dropped is a 7, which is greater than 5, so we would round up for our final answer.

Thus, after rounding, the final answer would be 0.91.

-0.533333333

-hope this helps

The Answer is 0.4

My work:

6 / 15 = .4

To convert a percent to a decimal, you divide by 100.

60% = 0.60

If x is the unknown number, the word is means equal

84 = 0.60 * x

Divide both sides by 0.60

84/0.60 = (0.60/0.60)* x = x

140 = x

x * .60 = 84

x = 84 / .60

x = 140

328*12=  3936

$3936.00

The total money a theater can bring in is calculated by multiplying the number of seats by the price of a ticket. Without knowing the ticket price, a specific answer cannot be provided.

To determine the maximum amount of money the movie theater can bring in, we need to know the price of a single ticket. For example, if each ticket costs $10, then the total amount of money possible would be 328 multiplied by $10 which equates to $3280. However, without knowing the cost of a ticket, we cannot give a specific answer.

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The error happens in step 2 when the person decided to add 2+3 to get 5. The order of operations PEMDAS says that we have to do multiplication (M) before addition (A). So this is what the steps should look like:

2+3*(5+4)

2+3*9

2+27

29

The proper answer is 29

-3 = -x^2 + 2

Solution:

Multiplying by -1 throughout;

3 = x^2 - 2x

x^2 - 2x - 3 = 0

Using the quadratic formula;

x = (b^2 +/- [tex]\sqrt{b^2 -4ac}[/tex]) × 1/2a

x =  (2 +/- 4) × 1/2

x = 3 or -1

I believe in 20 days. We have to think about a number both 4 and 10 go into. The 1st number they both go into is 20. Hope it helps

Cost of producing and selling x tables is given by the function C(x)=50x+3000

x is the number of tables produced

Each table is sold for $70

So selling price of x tables S(x) = 70x

Now we find the number of table must be sold for the firm to break even

Break even occurs when selling price = cost price

That is S(x) = C(x)

70x = 50x + 3000

Subtract 50x on both sides

20x = 3000

x = 150

150 tables  must be sold for the firm to break even

I might be right or not but i am 50% sure that the answer is:

6 kilometers.

please tell me if im wrong!

Answer:

Likely 6 kilometers, sorry if I am incorrect.

Step-by-step explanation:

If this is measuring displacement, it SHOULD be 6 km

Answer:

[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]

Step-by-step explanation:

Given that the line passes through two points (-1,2) and (6,3)

Slope of the line passing through (x1,y1) and (x2,y2) is

[tex]\frac{y2-y1}{x2-x1}[/tex]

Hence slope of our line =

(3-2)/(6+1) = 1/7

So in slope intercept form the equation would be

y = 1/7 x +C

to find C

Since (-1,2) lies on the line substitute these in the line equation

2 = 1/7(-1)+c

C = 2+1/7 = 15/7

Hence equation in slope intercept form is

[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]

The equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form is y = 1/7x + 15/7.

The question is asking for the equation of a line passing through two given points in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b is the y-intercept.

Firstly, to find the slope (m), you use the formula: m = (y2 - y1)/(x2 - x1). Substituting the given points into this formula: m = (3 - 2) / (6 - (-1)) = 1/7. Thus, the slope of the line is 1/7.

To then find the y-intercept (b), we substitute the slope and one of the points into the equation: 2 = 1/7 * (-1) + b. Solving for b, we find that b = 2 + 1/7 = 15/7.

So, the equation of the line that passes through the points (-1,2) and (6,3) in slope-intercept form is y = 1/7x + 15/7.

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what does the table look like

7.33=7.30

2.66=2.70

6.88=6.90

4.71=4.70

4.13=4.10

4.77=4.80

1.76=1.80

3.98=4.00

3.44=3.40

3.66=3.70

hope i could help ya out!! :)

Hey there,

So the answer is 13.

The explanation is:

We are asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.

So, as we know about the 10, the f(x) is going to be this- f(10).

We put f(10)= 10 over 2 + 8= 5+8 = 13

We have to flip the 8.

So you answer should be 13

Hope this helps...

-Justin0208

Answer:

y = -2

Step-by-step explanation:

Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.

Use the slope-intercept form of the equation of a line and plug in the information you have.

y = mx + b

y = 0x + (-2)

y = -2

Answer:

$13,230

Step-by-step explanation:

you need to multiply the cost of the ticket by the amount of tickets sold,

630 x 21 = $13,230

The slope is the number withe the variable X.

The y-intercept is the number at the end of the equation.

Slope = 2

y-intercept = 5

seeing as thought y=mx+b m=2 and b=5

Hello!

A way to write this problem as an equation can be seen as such (using s for the opponent's score)

[tex]49=s+19[/tex] or alternatively as [tex]s=49-19[/tex]

When you solve for s, we find that the opponent scored a total of 30 points during the football game.

Hope this helps.

The least common multiple of 4 and 5 is 20, so Heather will have both a jelly sandwich and milk again on the 20th day from today.

The question asks us to determine how many days will pass before Heather will again have both a jelly sandwich and milk if she eats a jelly sandwich every 5th day and drinks milk every 4th day. To find when these two events will coincide again, we need to find the least common multiple (LCM) of the two numbers representing the days on which these events occur.

We find that the,

LCM of 4 and 5 is 20.

Therefore, Heather will have both a jelly sandwich and milk on the 20th day from today. This is because 20 is the smallest number that is a multiple of both 4 and 5, which means it is the first day where both schedules will align again.

60/4=15 and 20/4=5 there were 4 cast members at the party and they each ate 15 carrot sticks, your welcome

The cast members might have been at the party are

Something to eat or drink during an event such as a meeting or party. . A more alert and comfortable state, especially after eating or drinking.

Finally the word "refreshment". While English adapted the term in the 15th century from several Gallic sources, according to the OED it meant the physical refreshment of a person or thing  by  food, drink, rest, coolness, etc.

Enjoying refreshment is a welcome break in the world of the day, and it also means that we leave working time for social elements, sharing coffee improves the  mood and has a uniting effect, we are better able to deal with problems that arise within the team.

To learn more about refreshment, refer;

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The Answer is 0.00359281437 Hope this helps :D

Questions is asking about what is the smallest power of 10 that would exceed 234,567,890.

To find that first we need to check how the powers of 10 changes the size of number. So let's find poers of 10 as shown below:

[tex]10^1=10[/tex]

[tex]10^2=100[/tex]

[tex]10^3=1000[/tex]

[tex]10^4=10000[/tex]

[tex]10^5=100000[/tex]

[tex]10^6=1000000[/tex]

[tex]10^7=10000000[/tex]

[tex]10^8=100000000[/tex]

On this pattern we see that as the exponent increases by 1 then a zero increases in the output.

In given number 234567890, there are 9 digits. So we need at least 9 zeroes which is

1000000000 or [tex]10^9[/tex]

Clearly 1000000000 exceeds 234567890.

Hence the final answer is that exponent of 10 will be 9.

Total of 105 minutes

An Hour and 5 mins

May has baby rabbits. She lets them roam outside freely every (7)days for 15 minutes

Answer:

A

Step-by-step explanation: