At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?

Answers

Answer 1
No, because 28 and 15 have no common numbers in multiplying. and if you graph those in a line graph it is not a straight line and in order to be proportional the graph line has to pass the origin and be a straight line.
Answer 2

Answer:

The given condition is not proportional.

Step-by-step explanation:

At the beginning of the year, Adrian's savings account balance was $28.

Let Adrian invests for 'x' weeks.

So, total amount will becomes :

[tex]28+15x[/tex]

Since 4 weeks = 1 month, it will represent a linear equation only.

Linear functions have a constant rate of change and describe a straight line on a graph. So, this is not proportional.

The given equation is in the form y = mx + b, so its linear. For the equation to be proportional, it should be in the form of y = kx.


Related Questions

How do I solve this?

Answers

The solution is -8+8 is 0 then The k/10 =-8 bring 10 to -8 it will get multiplied 10*-8=-80 so k=-80
1. Isolate the absolute value.
2. Set the inside of the absolute value equal to positive and negative of the right side and solve both equations. Very often you get two solutions.

-8 + 8|k/10| = -8

Add 8 to both sides.

8|k/10| = 0

Divide both sides by 8.

|k/10| = 0

Now set k/10 equal to 0 and -0.
Since -0 is the same as 0, in this case you will only get one equation from the absolute value part.

k/10 = 0

Multiply both sides by 10.

k = 0

A system of equations is graphed on the coordinate plane.

2y = 3x − 1
4y = 6x − 2

Select the number of solutions for the system of equations from the drop-down menu.

A. no solution
B. one solution
C. infinitely many solutions

Answers

Maybe it's c, not sure

What are the steps to the problem 4,3021 - 835.6?

Answers

43021.0
- 835.6
------------
42185.4

The final result is 3466.5.

To solve the subtraction problem 4,302.1 - 835.6, follow these steps:

Align the Numbers: Line up the numbers by their decimal points.
4302.1- 835.6Borrow if Necessary: If the digits in the minuend (top number) are smaller than the subtrahend (bottom number), borrow from the next left digit.Perform the Subtraction: Subtract each column starting from the right:Perform 4302.1 resulting the final number 3466.5

The final answer is, 3466.5.

Find the perimeter and area of each figure

Answers

first you multiply 15 and 13 to find the perimeter but to find the area you just add 15 by 15 and 13 by 13. The sum of both will get you the area
Problem
Find the perimeter and area of each figure.

Result
1. P = 56 A = 195 
2. P = 76 A = 345

Solution
Perimeter = 2(w)
Area = wl

1. P = 2(15 + 13) = 2(28) = 56
A = 15 · 13 = 195

2. P = 2(23 + 15) = 76
A = 23 · 15 = 345

Which comparison symbol makes each inequality statement true?

Enter <, > , or = to make each statement true.

Enter your answers in the boxes.

−6.809 −6.812

|−6.809| |−6.812|

Answers

-6.809>-6.812
|-6.809| <|-6.812|

because the absolute values (vertical lines) represent whatever is in them becomes a positive.
-hope that helps

Answer:

-6.809 > -6.812 and [tex]|-6.809 | < |-6.812 |[/tex]

Step-by-step explanation:

It is clear that 6.809 < 6.812. Hence, -6.812 < -6.809, since the minus sing reverses the order. On the other hand,

[tex]|-6.809 |= 6.809 < 6.812=|-6.812 |[/tex]

True or False ?
A line represented by the equation x= 1/2 is parallel to x-axis?

Answers

no it is parallel to the y axis
Y=1/2 is not paralel axis it paralel to y
İt is false

Carmen measured a house and made a scale drawing. The scale of the drawing was 9 millimeters = 1 meter. What is the drawing's scale factor? Write it as a fraction.

Answers

When you write a scale factor, the units have to be the same.  In this case, 9mm on the drawing represents 1 meter on the house.  Change 1 meter to millimeters (1m = 1000mm).

9 mm on the drawing represents 1000 mm on the house.

The scale factor is 9 to 1000, or, as a fraction,  9/1000.

Which of the following inequalities match the statemennine is more than a number

9 < n

9 ≥ n

9 ≤ n

9 > n

Answers

So, you want to eat the bigger one right? So imagine the < and > are mouths trying to eat... The statement say 9 is more so you'd eat 9.

9 > n
                      Hope this Helps!


Answer:

9 > n

Step-by-step explanation:

think of this <ess it kinnda looks like it says less so > means the greater than symbol

Hopes This Helps :) please make me brainless just one time

Margo used the equation y=-4x-1 to graph a line. She graphed the point (-1, 0), Does (-1, 0) lie on the line? If not, what mistake did Margo make?

Answers

It does because -1 0 is going to on q4 so it is going be on the so yes
No, it doesn't. -1 is the y intercept, meaning the first point would be (0, -1) rather than (-1, 0)
The line does not cross the point (-1, 0)

what is an rational number

Answers

A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).
a rational number is when a number can be in the form of p/q. When p/q are integers and q is not equal to 0
hope this helps!

Will the standard form of 8.5 × 10–3 be more or less than 1? Explain what effect the negative exponent has.

Answers

Hello There!

If you change that into normal numbers you get:
0.0085.
The negative exponent makes the number smaller.
It will be less than 1.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 

It would be less than one. Because, 8.5 * 10^-3 equals 0.0085. 
It would be less than 1.

The boiling point (at atmospheric pressure) of Ammonia is -28 1/10°F and of Propylene is -53 9/10°F. What is the difference in their boiling points?

-82°F

26°F

25 4/5°F

-81 4/5°F

Answers

I think it's 25 4/5 F

Answer:

yeah I got it right

Step-by-step explanation:

A popular chain of superstore makes 30.479×10730.479×107 dollars in profit each year. One of its store makes 210.2×104210.2×104 in profit each year.



How many times greater is the profit made by the chain than by one of its store?

Enter your answer, using scientific notation, in the boxes.

Answers

Final answer:

To find how many times greater the chain's profit is than one store's, divide the chain's profit by the store's profit. After dividing the coefficients (30.479/210.2) and subtracting the exponents (7-4), we find that the chain's profit is 145 times greater than that of one store, which is 1.45 × 10² in scientific notation.

Explanation:

To determine how many times greater the profit made by the chain is than by one of its store, we need to divide the total profit of the chain by the profit of one store. Both profits are given in scientific notation as follows:

Chain's annual profit: 30.479 × 107 dollars

One store's annual profit: 210.2 × 104 dollars

To perform the division, we divide the coefficients and subtract the exponents:

(30.479 × 107) / (210.2 × 104) = (30.479 / 210.2) × 10(7 - 4)

Calculating the division of coefficients and exponents separately:

Coefficients: 30.479 / 210.2 ≈ 0.145

Exponents: 103, since 7 - 4 = 3

The result is:

0.145 × 103, which is the same as 1.45 × 102 in scientific notation after adjusting the decimal point one place to the right. Therefore, the chain's profit is 145 times greater than the profit of one store.

Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer and work shown above

Answer:  [tex]3x+8y+17=0[/tex]

Step-by-step explanation:

We know that the equation of a line passing through a point (a,b) ans has slope 'm' is given by :-

[tex](y-b)=m(x-b)[/tex]

Given : Slope : [tex]m=\dfrac{-3}{8}[/tex]

Point = (5, -4)

Then, the equation of a line passing through a point (5, -4) ans has slope [tex]\dfrac{-3}{8}[/tex] is given by :-

[tex](y-(-4))=\dfrac{-3}{8}(x-5)\\\\\Rightarrow\ 8(y+4)=-3(x-5)\\\\\Rightarrow\ 8y+32=-3x+15\\\\\Rightarrow\ 3x+8y+32-15\\\\\Rightarrow\ 3x+8y+17=0\ \ [\text{In standard form}][/tex]

Therefore,  the standard form of the line that contains a slope of [tex]\dfrac{-3}{8}[/tex] and passes through the point (5, -4):

[tex]3x+8y+17=0[/tex]

Simplify. 46√+26√−6√
6√6

5√18

5√6

6√18

Answers

Answer:

46√+26√−6√ It Is 5√-6


Answer:

The answer is: [tex]5\sqrt{6}[/tex]

good luck!

Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their ages now?

Answers

Final answer:

To find Seth and Eric's current ages, we can set up two equations using the given information and solve them simultaneously.

Explanation:

To solve this problem, let's start by assigning variables to the ages of Seth and Eric. Let Seth's age be represented by 'S' and Eric's age be represented by 'E'. We are given that currently Seth's age is 4/5 the age of Eric:

S = (4/5)E

We are also given that twenty-one years ago Eric was twice as old as Seth:

E - 21 = 2(S - 21)

Now we can solve these equations simultaneously to find their current ages. Let's substitute the value of S from the first equation into the second equation:

E - 21 = 2((4/5)E - 21)

Simplifying the equation, we get:

E - 21 = (8/5)E - 42

Moving all the terms with 'E' to one side, we get:

(8/5)E - E = 42 - 21

Simplifying further, we get:

(3/5)E = 21

To solve for E, we can multiply both sides of the equation by 5/3:

E = (5/3) * 21 = 35

Now that we know Eric's age, we can substitute this value back into the first equation to find Seth's age:

S = (4/5) * 35 = 28

Therefore, Eric is currently 35 years old and Seth is currently 28 years old.

Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?

A. The product always has 4 digits. The least 3-digit number is 100, and the least 2-digit number is 10. The product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits.
B. The greatest number of digits in the product is 6. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits.
C. The product always has 5 digits. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits.
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.

Answers

Its D- 999*99 is a 5 digit #, but 100*10 is a 4 digit- 1000- so it can be less.

The correct statement is :

D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.

The smallest 2 digits is 10, and the smallest 3 digits is 100

Their product is:

[tex]10 \times 100 = 1000[/tex] i.e. 4 digits

The greatest 2 digits is 99, and the greatest 3 digits is 999

Their product is:

[tex]99 \times 999 = 98901[/tex]  i.e. 5 digits

This means that;

No product of the digits can have more than 5 digits

And, no product can have less than 4 digits

Hence, (d) is correct

Read more about digits at:

https://brainly.com/question/16032803

a number between 67 and 113 that is a multiple of 3, 6 and 9

Answers

9x9 = 8 It is a multiple of 9 and it is in the range of 67 and 113.

What is the equation of the graph? y=−43x+3 y=3x+43 y=−3x−43 y=43x+3

Answers

The equation of the given graph will be y=-3/2x+3 so none of the options will be correct.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The point of intersection of the line and x-axis = (2,0)

The point of intersection of the line and y-axis = (0,3)

The slope of the graph or line

Slope = differcne in ys coordinate/difference in xs coordinate

Slope(m) = (3-0)/(0-2) = -3/2

Now equation of a line is given by

y = mx + c

Now keep point (2,0) and slope-3/2

0 = (-3/2)2 + c

c = 3

So, the equation would be

y = (-3/2)x + 3

Hence, The equation of the given graph will be  y=-3/2x+3

For more information about the graph of a function,

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The equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

We have a graph of a equation of a straight line.

We have to find the equation of the straight line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

The slope of line = [tex]\frac{3-0}{0-2}[/tex] = [tex]\frac{-3}{2}[/tex]

c = 3

Substituting the values in the general equation of line, we get -

y = [tex]\frac{-3}{2} x + 3[/tex]

Hence, the equation of the graph is - y = [tex]\frac{-3}{2} x + 3[/tex]

To solve more questions on straight line equation, visit the link below -

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why is the square root of 32 irrational

Answers

Its irrational because a number times itself does not equaly go into 32 pluse the decimals behind it are not finite. The square root of 32 cannot be written as a ratio nor a fraction.

Ten years from now Sam will be twice as old as she was three years ago.How old is she now?

Answers

Answer:

is ther any information about how old he will be in ten years from now

Step-by-step explanation:

g\

Sam's current age is 16 years old based on the provided condition.

Ten years from now, Sam will be twice as old as she was three years ago. Let's represent Sam's current age as x. According to the given condition:
Age after ten years = x + 10
Age three years ago = x - 3
Given that the age after ten years will be twice the age three years ago:
x + 10 = 2(x - 3)
Solving for x:
x + 10 = 2x - 6
x = 16

Therefore, Sam is currently 16 years old.

how do i graph   –73x+2

Answers

Use Desmos.com it will graph it for you. And it will show you the steps. I think this will help you.
you originally start at the origin, (0,0), however the +2 moves your y value 2 places up. Start at (0,2), and then count your slope. 73/1 is a steep slope, but if thats correct, you would go up 73 units and over 1. making your next point (1,75). and do it the opposite way to make (-1,-71). there is 3 points for your graph.

Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale.

How many cookies and brownies would Eder need for 10 plates?

Answers

He would need 15 cookies and 5 brownies.  This is because 4 is not a multiple of 10, so we are going to reduce it to 2. This means that you need 3 cookies and 1 browny for every 2 plates.  10 divided by 2 is 5, so you multiply each treat by 5 and get 15 cookies and 5 brownies.  Hope this helps!!

The graph below represents one function and the table represent s a diffrent function how are the functions similar?

Answers

Where's the graph? Can't solve it without the graph.

What’s the ratio for 34in to 14ft

Answers

14 feet is equivalent to 168 inches
34 : 168
------------------------------------------- 
Now Simplify
17 : 84
-------------------------------------------
17 : 84 should be your Ratio
34 inches is 2 feet 10 inches, or 2 10/12 feet, or 2.83333....

Then the ratio 34 in to 14 ft    is


2.83333... ft
---------------- = approx. 0.21    (no units of measurement).
     14 ft

the sum of two numbers 18 and their difference is 4. what are the two numbers?

Answers

They are 7 and 11. 11 + 7 = 18, 11 - 7 = 4.

The values of a and b in the expression given are 11 and 7 respectively

Let the numbers be : a and b

The sum of the numbers equals 18 :

a + b = 18 - - - (1)

The difference of the numbers equal 4 :

a - b = 4 - - - (2)

From (1):

a = 18 - b - - - (3)

Substitute the value of a in (3) into (2)

18 - b - b = 4

Collect like terms

18 - 2b = 4

-2b = 4 - 18

-2b = - 14

b = 14 / 2

b = 7

From (3)

a = 18 - 7 = 11

Therefore, the values of a and b are 11 and 7 respectively

Learn more ' https://brainly.com/question/18112348

A linear equation has more than one y intercept.what can you conclude about the graph of the equation?

Answers

I'd say the graph isn't functional
A line can be determined with two points.

The y-intercept is where a graph intersects the y axis.

Let 2 points lie on the y axis. Those are the y-intercepts.

2 lines can only have 0 intersections, 1 intersection, or infinitely many intersections.

Thus, if a line intersects another line more than 2 times, both lines must be the same line.

Using that information to create a line, you would have the line x=0.

x=0 is a vertical line that intersects the y-axis infinitely many times since they are the same line.

However, x=0 is not a function.

Have an awesome day! :)

Solve for x- 3x+ 7=22

Answers

Answer: 
–7.5 = x

Explanation: 
22 = x – 3x + 7 
Subtract 7 from both sides:
22 – 7 = x – 3x + 7 – 7 
15 = x – 3x 
15 = –2x 
Divide by –2 on both sides:
15 ÷ –2 = –2x ÷ –2 
–7.5 = x

Two consecutive whole numbers that 106 square root lies between

Answers

Using a calculator, the square root of 106 is roughly equal to the decimal number 10.2956 so the two whole numbers are 10 and 11

If you are unable to use a calculator or don't have one, then you can list out the set of perfect squares: {1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121}

We can see that 106 lies between 100 and 121
100 = 10^2
121 = 11^2
so that shows the square root of 106 lies between 10 and 11
Final answer:

The square root of 106 is between 10 and 11. So, the two consecutive whole numbers are 10 and 11.

Explanation:

The student is asking about the whole numbers that the square root of 106 lies between. To determine this, we calculate the square roots of numbers near 106. The square root of 100 is 10 and the square root of 121 is 11. Therefore, the square root of 106 lies between 10 and 11. So, the two consecutive whole numbers that the square root of 106 lies between are 10 and 11.

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Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including taxes. If the customer paid her with two $100 bills, how much change should she give him?

Answers

67.65 + 57.93 = 125.58

200.00 - 125.58 = $74.42 change back
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