Mr. Sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?

It's a line in form y = mx.

Two points:

(0, 0) and (1, 4)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{1-0}{4-0}=\dfrac{1}{4}[/tex]

Answer: [tex]y=\dfrac{1}{4}x[/tex]

Answer:

n ≤ 9

Step-by-step explanation:

Step 1: Simplify both sides of the inequality

1/3n ≤ 3

Step 2: Multiply both sides by

3* (1/3n) ≤ (3)*(3)

n ≤ 9

Hope this helps :-)

Let x represent the number of ounces of vinegar

Let y represent the number of ounces of lemon juice

Oil required = 8 oz

Container can hold = 16 oz

So the inequality equation will be :

[tex]x+y+8\geq16[/tex]

Answer:

This is the right answer ♡ hope it helps ;)

Step-by-step explanation:



number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page

number of names(p) = 4*10*11*p = 440*p

The algebraic expression for the number of names in p pages is 440*p

The algebraic expression to estimate the total number of names in p pages of the telephone directory is 440p, where p represents the number of pages.

To calculate the approximate number of names in p pages of the telephone directory, we start with the given information: there are 11 names in a 1-inch column.

Since each page has four 10-inch columns, first we calculate the number of names in one column by multiplying the number of names in 1 inch by its height in inches:

11 names/inch × 10 inches = 110 names/column

Then, to find the number in 4 columns per page we multiply by 4:

110 names/column × 4 columns = 440 names/page

Finally, to find the number in p pages, we use the algebraic expression:

440 names/page × p pages = 440p

This expression can be used to estimate the total number of names in p pages of the directory.

It is linear because both variables have an exponent of 1. (FYI: one of the exponents can be 0 and still be a linear equation).

2x + y = 8

-2x     -2x

      y = -2x + 8   ⇒ slope (m) = -2 and y-intercept (b) = 8

plot the y-intercept (0, 8). then plot the next point by counting the rise over run from the y-intercept. count 2 units down and 1 unit to the right = (1, 6).

Answer:

It is linear because both variables have an exponent of 1.

Step-by-step explanation:

The attempt to solve the provided system of equations by elimination encountered a misunderstanding in the manipulation of the equations. A straightforward correction highlighted the importance of accurately aligning coefficients before attempting to eliminate a variable, underscoring the necessity of precise calculations in solving such problems.

To solve the given system of equations by elimination, we start with the system:

Our goal is to eliminate one of the variables, either x or y. To do this efficiently, we aim to make the coefficients of either x or y the same or exact opposites. In this case, we can easily adjust the second equation to align the coefficients of y by multiplying the entire equation by a suitable number.

Multiply the first equation by 1 (effectively keeping it the same) and the second equation by 7/4 to align the y coefficients:

However, there seems to be a misunderstanding in the calculation or transcription of the equations provided. Instead, let's correct the approach based on the equations listed in the inquiry.

Looking at the original system provided:

We see an opportunity to simplify the first equation by dividing everything by -7:

Now, to proceed with elimination effectively, aligning coefficients or a straightforward substitution should be re-evaluated, given the error in initial steps noted. Let's correct it:

Notice the instructional error in application; hence, a direct solution via the provided method is not feasible without the correct system alignment or revised equations. When solving similar problems, getting coefficients to align through multiplication or division is key before adding or subtracting equations to eliminate a variable.

Elimination becomes difficult with inaccurate steps, so it's crucial to double-check each phase of your work.

You got the twenty by adding the markup price and the original price.

$29 times 3 is $87

$112-$87 = $25

52-25= 35

The customer paid $35 for the first light fixture. I think.

The cost of the first light fixture is $27.

Given that, a customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of first light fixture be x.

Now, x=52+3×29 - 112

=52+87 - 112

= 139 - 112

= 27

Therefore, the cost of the first light fixture is $27.

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Answer:

We need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

Step-by-step explanation:

Lets take the amount of $9.50 coffee added was [tex]x[/tex] pounds.

The requirement is that the value of 1 pound of resulting mixture of coffee to be $10.

We can use the weighted average value to find the value of the resulting mixture.

⇒[tex]\frac{(9.5*x)+(11.75*2)}{(x+2)} =10[/tex]

=[tex](9.5*x)+(23.5)=10(x+2)[/tex]

=[tex]9.5x+23.5=10x+20[/tex]

=[tex]3.5=0.5x[/tex]

=[tex]x=7[/tex]

So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to create a blend that costs $10.00 per pound. An equation is set up and solved to find the amount of premium coffee needed.

The student is asking how many pounds of premium coffee beans at $9.50 per pound should be mixed with 2 pounds of supreme coffee costing $11.75 per pound to create a coffee blend that costs $10.00 per pound. To solve this, we can set up an equation to represent the total cost of the coffee before and after mixing.

Let x be the number of pounds of premium coffee that we want to find. The cost for the premium coffee will then be x times $9.50. For the supreme coffee, we have 2 pounds at $11.75 per pound which gives us a total cost of $23.50. For the blend, we want the total pounds of coffee, which is x + 2 pounds, to be multiplied by the target price of $10.00 per pound.

The equation that represents the price point of the mixture is:

9.50x + 23.50 = 10.00(x + 2)

To find x, we solve the equation by distributing the $10.00 across x + 2 and moving all terms involving x to one side to isolate the variable:

9.50x + 23.50 = 10.00x + 20.00

Subtracting 9.50x from both sides:

23.50 = 0.50x + 20.00

Subtracting 20.00 from both sides gives us:

3.50 = 0.50x

Dividing both sides by 0.50 gives us the result:

x = 7 pounds

Therefore, 7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to obtain a blend that costs $10.00 per pound.

Answer:

Y=Mx+b

Step-by-step explanation:

Yay

Refillable mug:

Fixed cost is $3.50 including 16 oz of coffee

Each additional 16 oz of coffee cost $0.50

Disposable cup:

Cost is $1.00 per 12 oz of coffee

We can build up a table showing number of purchases, cost, and amount of coffee for each type of purchase until we see the refillable cup becoming cheaper.

                Refillable Mug              Disposable cup

               Cost     Amount              Cost       Amount

1               3.50        16                    1.00                  12

2              4.00        32                   2.00                24

3              4.50         48                  3.00                 36

4              5.00         64                  4.00                 48

5              5.50         80                  5.00                 60

Notice that with 3 fill ups of the refillable cup, you have bought 48 oz of coffee for $4.50. With the disposable cup, the same 48 oz of coffee represent 4 cups, but at only $4.00, so up to the amount of 48 oz of coffee, you are better off buying the disposable cups.

When you spend $5.00, you can have 64 oz of coffee using the refillable cup or 60 oz of coffee using the disposable cup. When you spend $5.00 and up, then the refillable cup gives you the better price.

Answer: The refillable cup becomes cost effective at 64 oz.

[tex](\sqrt[3]{x^{3} }) = 20[/tex]

x = 20

Answer: 20

x-3y=7    2x-6y=12

You can multiply -2 in the first equation like this.

x+6y=7

2x-6y=12

Now you can eliminate 6y and -6y so cross them out and do x-2 which is -1 and 7-12 which is -5 -1/-5 would be .2

you add and subtract

Some of the rules of adding and subtracting mixed numbers are:

1) Change the mixed numbers into improper fractions

2) Find common denominators. Remember that what you do to the denominator you also do to the numerator.

3) Subtract

4) Answer

hope this helps

15/32 - .4688 - 11.9063

I'm sorry what are you asking for??

33. -8 belongs to:

34. 14 belongs to:

35. 9.23 belongs to:

36. [tex]1\frac{5}{9}[/tex] belongs to:

37. Zero (0) belongs to:

38. -1 belongs to:

39. 1/2 belongs to:

40. 0.3 where 3 is recurring belongs to:

Answer:

What what the answer

Step-by-step explanation:

cause i neeed it ;~;

Answer: Consider a power set [tex]\mathbb{R}[/tex] of real numbers.

The subsets of the power set are as follows:-

1. Natural number([tex]\mathbb{N}[/tex])={1,2,3,4,5,....}

2.Whole numbers[tex]\mathbb{W}[/tex]={0,1,2,3,4,......}

3.Integers([tex]\mathbb{I}[/tex])={.......-3,-2,-1,0,1,2,3,....}

4.Rational numbers([tex]\mathbb{Q}[/tex])=It contains all of the above subsets and fractions (where denominator ≠ 0) ,terminating and repeating decimals.

5.Irrational numbers=It contains numbers which cannot be expressed as the ratio of integers, and they are non-repeating, non-terminating decimals.

If x = -6

Plug in -6 for x

f(x) = 3x + 4

f(-6) = 3(-6) + 4

Remember to follow PEMDAS. First, multiply

3 x -6 = -18

Finally, add

-18 + 4 = -14

f(-6) = -14

f(-6) = -14 is your answer

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~Rise Above the Ordinary, Senpai

The answer is 0.31.

Change the percentage sign into a decimal and then move it two places to the left. Then add a zero in front of the decimal.

Hope this helps. =)

Gotcha!

If you put 31/100  and divide it you would get 0.31

Answer:0.31

Tip: if you need to find the decimal of a number just simply place it over 100 & divide!

81 ÷ 36 = 2.25

John will use 2.25 gallons of gas to travel 81 miles

The answer is x = 15

The equation would be x + 2 = 17

The product of two more than a number and seven is thirteen when x = 13/7 - 2.

The question is asking us to find the product of two more than a number and seven, given that the result is thirteen. Let's call the number x. The expression "two more than a number" can be written as (x + 2). The equation can then be written as (x + 2) * 7 = 13. To solve for x, we divide both sides of the equation by 7, giving us x + 2 = 13/7. Subtracting 2 from both sides, we get x = 13/7 - 2.

So, the solution is x = 13/7 - 2.

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The answer is 2.9. You would round up since there is a 5

You round it up to 2.9

[tex]\dfrac{2}{7k}(k-7)\qquad|\text{use distributive property}\\\\=\left(\dfrac{2}{7k}\right)(k)-\left(\dfrac{2}{7k}\right)(7)=\dfrac{2}{7}-\dfrac{2}{k}[/tex]

first function is f(x)= x+4

We make  a table, plug in some numbers for x  and find out y

x      y= x+4

-4       0

3         7

Then graph the table using points (-4,0)  and (3,7)

Second function is f(x)= 2x - 1

We make  a table, plug in some numbers for x  and find out y

x      y= 2x - 1

3         5

6         11

Then graph the table using points (3,5)  and (6,11)

The graph is uploaded below