Tavon has a gift card for $150 that loses $3.50 for each​ 30-day period it is not used. He has another gift card for $130 that loses 3 for each​ 30-day period it is not used. a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal​ value?

The correct answer is The complete price (minus returns) is due within 30 days, or a 2 percent discount for payments made within 10 days.

2. Net Sales are Going Up.

Explanation:

1. The breakdown of a company's sales discounts with terms 2/10, n/30 is as follows:

The % discount is represented by 2,

You must pay the business within 10 days to be eligible for the discount.

If you were unable to pay the corporation within the first 10 days, you would have had n/30 days to do so. You are not eligible for the discount if you pay during this time frame after the first 10 days.

Consequently, the parameters of the sales discount mentioned above are a 2 percent discount for payment within 10 days, or the full amount (less returns) due within 30 days.

2. As goods are returned and risk must be managed, sales returns and sales allowances have the impact of lowering the net sales total. Therefore, if they decrease, net sales increase.

A decrease in the credit card company's discount also causes a rise in sales because it increases the amount made per sale or transaction and decreases the amount the company must provide in discounts.

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Converting each of the question mentioned decimal into fractions in their simplest form, we get,

(i) 0.6 with 6 recurring = (2/3)

(ii) 3.405 with (405) recurring = (378/37)

(iii) 0.75 with (75) recurring = (25/33)

(iv) 0.3 with 3 recurring = (1/3)

As per the question statement and the attached reference along with the question, we are provided with four recurring decimal values.

We are required to convert each of the decimal values into fractions in their simplest form.

Starting with (i), 0.6 with 6 recurring = 0.66666...

Now, let [x = 0.6666...]

Or, [10x = 6.6666...]

Or, [(10x - x) = (6.6666...) - (0.6666...)]

Or, (9x = 6)

Or, [x = (6/9)]

Or, [x = (2/3)]

Or, [0.6666... = (2/3)]

Similarly for (ii), 3.405 with (405) recurring = 3.405405405405...

Now, let [x = 3.405405405...]

Or, [1000x = 3405.405405405...]

Or, [(1000x - x) = (3405.405405405...) - (3.405405405...)]

Or, (999x = 3402)

Or, [x = (3402/999)]

Or, [x = (378/37)]

Or, [3.40540405... = (378/37)]

Coming to (iii), 0.75 with (75) recurring = 0.757575...

Now, let [x = 0.757575...]

Or, [100x = 75.757575...]

Or, [(100x - x) = (75.757575...) - (0.757575...)]

Or, (99x = 75)

Or, [x = (75/99)]

Or, [x = (25/33)]

Or, [0.757575... = (25/33)]

Finally coming to (iv), 0.3 with (3) recurring = 0.333...

Now, let [x = 0.333...]

Or, [10x = 3.333...]

Or, [(10x - x) = (3.333...) - (0.333...)]

Or, (9x = 3)

Or, [x = (3/9)]

Or, [x = (1/3)]

Or, [0.333... = (1/3)]

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The phrase "six more than nine times n is twenty" as an equation will be;  (6+9)n=20

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The phrase "six more than nine times n is twenty" as an equation will be;

Since we are multiplying n by the addition of 6 and 9, we put 6 and 9 in parenthesis with the n on the outside which is equal to 20.

Then 6 + 9 goes inside the parenthesis.

Therefore, it will be;

(6+9)n=20

Hence, The phrase "six more than nine times n is twenty" as an equation will be;  (6+9)n=20

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The linear equation to find how many rides you can go on is 5 + 0.5x = 20 and there'll be 30 rides.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The linear equation will be:

Let the number of rides be x.

This will be:

5 + (0.5 × x) = 20

5 + 0.5x = 20

Collect like terms

0.5x = 20 - 5

0.5x = 15

Divide

x = 15 / 0.5

x = 30

The number of rides is 30

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There will be 30 rides, and the linear equation to determine the total number of rides is 5 + 0.5n = 20.

Mathematical statements which have at least two terms with equal quantities or variables are called equations.

Let n be the total number of rides.

The fair's entrance fee is $5, and each ride costs 50 cents, and parents gave $20 which is given in the question.

According to the given situation, the required equation as

⇒ 5 + 0.5 × n = 20

⇒ 5 + 0.5n = 20

⇒ 0.5n = 20 - 5

⇒ 0.5x = 15

Divide by 0.5 into both sides of the equation,

⇒ n = 15 / 0.5

⇒ n = 30

Therefore, the total number of rides will be 30.

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Given:

The fraction of treaters dressed up us halloween, x=2/15.

Let the total trickers be taken as 1.

Now, the proportion of treakers that were not dressed up as spiderman is,

Answer:

  D.  f(x - k) = f(x) + k​

Step-by-step explanation:

You want to know the effect on f(x) = -x +8 when x is replaced by x±k.

A function is evaluated by replacing the independent variable in its definition by the function argument.

  f(x) = -x +8

  f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we have ...

  f(x -k) = f(x) +k

The correct statement for the function is: f(x -k) = f(x) +k​. And option(D) is write answer.

How to perform function evaluation?

In mathematics, function expression is mainly consist of dependent variable and the independent variable. And the function is evaluated by replacing the independent variable in its definition by the function argument.

According to the question, the given function expression is: f(x) = -x +8

Now, to know the effect on f(x) = -x +8 when x is replaced by x ± k. This transformation is known as scaling translation.

Therefore, the function expression can be written as:

f(x) = -x +8

⇒ f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we get:  f(x -k) = f(x) +k

Hence, the correct statement for the function is: f(x -k) = f(x) +k

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The probability that a sample of 10 items will contain at most 1 defective item is 0.7361

Consider X to denote the number of defective items which follows binomial distribution with sample size, n equals to 10.

The probability p of an item produced by a certain machine will be defective is 0.1.

Therefore, the probability q of an item produced by a certain machine will not be defective is:

(1−0.1)

=0.9

The probability of at most one defective item can be calculated as follows:

[tex]P(X\leq 1)=P(X=0)+P(X=1)\\[/tex]

[tex]=^{10} C_{0} p^{0} (1-p)^{10} +^{10} C_{1} p^{1}(1-p)^{9}[/tex]

[tex]=(0.9)^{10} +10(0.1)(0.9)^{9}[/tex]

[tex]=0.7361[/tex]

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The solved matrix system is (x y z) =(4,-1, 3)

The problem we are dealing with is related to gauss -Jordan elimination is a calculation that can be utilized to illuminate systems of linear conditions and to discover the inverse of any invertible matrix. It depends upon three elementary row operations one can utilize on a matrix: Swap the positions of two of the rows and Multiply one of the rows by a nonzero scalar. Add or subtract the scalar numerous of one row to another row.

For the given equations

x+2y+z=5

2x-y+2z=15

3x+y-z=8

In the matrix form

1   2    1       | 5

2   -1    2      | 15

3     1   -1      | 8

R2 -> R2-2R1

1     2      1       | 5

0   -5     0       | 5

3     1     -1       | 8

R3->R3-3R1

1      2       1         | 5

0   -5      0          | 5

0    -5   -4          | -7

R2->R2/(-5)

1      2       1         | 5

0     1       0         | -1

0    -5    -4          | -7

R3->R3-(-5).R2

1      2       1         | 5

0     1       0         | -1

0    0     -4          | -12

R3= R3/(-4)

1      2       1     | 5

0     1     0       | -1

0    0      1        | 3

R1= R1-1R3

1      2       0        | 2

0     1     0           | -1

0    0      1            | 3

R1= R1-2R2

1      0      0         | 4

0     1       0         | -1

0    0       1          | 3

x    | 4

y    | -1

z    | 3

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The greatest number of bags that can be filled using all the candy is 9.

The greatest number of bags that can be filled using all the candy can be determined by calculating the greatest common factor (GCF).

The greatest common factor of two or more numbers is a term used in mathematics that can be described as the greatest number among all the common factors of these numbers. If x and y are two numbers, GCF is the largest number that divides both x and y without leaving any remainder.

As there are 36 chocolate bars and 81 caramel bars, therefore we determine the GCF of 36 and 81;

The common factors of 36 and 81 are found to be: 1, 3 and 9

Hence the greatest common factor (GCF) out of these is 9.

Therefore the greatest number of bags that can be filled using all the candy is calculated to be 9

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Answer:

Bodzmkoutdoii6iriutdiudiwtyaoroyrisr

Answer:

x=110

Step-by-step explanation:

You can set the equation up like this:

100=x-10

Make x by itself

x=110

Answer:

6.75m^2

Step-by-step explanation:

The shape is made up of a trapezoid on top and a rectangle on the bottom.

The rectangle's area is easier, so first:

Area_rectangle

= length × width

= 2.5 × .5

= 1.25 m^2

For area of a trapezoid, you need three measures: both bases and the height.

One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.

The height is

2.5 - .5

because the height of the trapezoid is not including the rectangle, so take away .5

Trapezoid's height is 2.5 - .5 is 2.

Area_trapezoid

= 1/2 (base+base)height

= 1/2 (3+2.5)2

=5.5

Area_total

= Trapezoid+rectangle

= 5.5 + 1.25

=6.75m^2

The total area is 6.75square meters.

Answer:

Area = 6.75 meter square.

Step-by-step explanation:

You can see the three points where the result is equal to an integer in the photo below. Good luck!

Answer:

im jus trying to get points lol

Step-by-step explanation:

The point slope equation of the line that passes through the points (-9,6) and (-7,-8) is  7x + y = -57 .

The point slope equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-9,6) and (-7,-8) ,

So , the slope(m) is = (-8-6)/(-7 -(-9))

= -14/(-7+9)

= -14/2

= -7

the equation of the line passing through (-7,-8) and slope as 7 in the point slope form is

(y -(-8)) = -7(x -(-7))

y + 8 = -7x -49

7x + y = -8-49

7x + y = -57

Therefore , The point slope equation of the line that passes through the points (-9,6) and (-7,-8) is 7x + y = -57  .

The given question is incomplete , the complete question is

Write the point slope equation of the line that passes through the points (-9,6) and (-7,-8) .

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The value of q in the given equation is 0.

This is a problem from an algebraic equation, we can solve this problem by following a few steps.

The given equation is,

8(q-2) = 44+5(2q-12)

Let's simplify the equation.

8(q-2) = 44+5(2q-12)

Or, 8q- 16= 44+ 10q- 60

Now, we have to organize the equation.

8q- 10q= 44- 60+ 16

Or, -2q = 0

Or, q = 0/2        ( dividing both side by 2 )

Or, q = 0

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The complete question is:

Find the value in the given equation,

8(q-2) = 44+5(2q-12)

The expression 5xy - x²t + 2xy + 3x²t has a value of 7xy + 2x²t

From the question, the expression is given as

5xy - x squared t + 2xy + 3x squared t

Rewrite the above expression properly

This is represented as

5xy - x²t + 2xy + 3x²t

Next, we collect the like terms in the above expression

So, we have the following equation

5xy - x²t + 2xy + 3x²t = 5xy + 2xy - x²t  + 3x²t

Evaluate the like terms in the above expression

So, we have the following equation

5xy - x²t + 2xy + 3x²t = 7xy + 2x²t

The equation cannot be further simplified

Hence, the value of 5xy - x²t + 2xy + 3x²t is 7xy + 2x²t

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Answer:

46x2=92 108+92= 200 total members

Step-by-step explanation:

108/2=54% so 46%x2members = 92 members.

In order for the ratio of AP to PB to be 3/2, the coordinates of point P along the directed line segment AB are (14/5, -1).

The section formula returns the coordinates of a point that divides the line connecting two points in a ratio, either internally or externally.

Section formula is given as follows:

[tex](\frac{mx_{2 }+nx_{1} }{m+n} , \frac{my_{2} +ny_{1} }{m+n})[/tex]

It is given that the coordinates of the points A and B are A(-2, -4), B(6, 1) and   AP/PB = 3/2

Let the coordinates of the point P be (a, b).

By using section formula,

(a, b) = [tex](\frac{mx_{2 }+nx_{1} }{m+n} , \frac{my_{2} +ny_{1} }{m+n})[/tex]

(a, b) =  [tex](\frac{3(6)+2(-2)}{3+2} , \frac{3(1) +2(-4)}{3+2} )[/tex]

(a, b) = [tex](\frac{18 - 4}{5} , \frac{3-8}{5})[/tex]

(a, b) = [tex](14/5, -5/5)[/tex]

(a, b) = [tex](14/5, -1)[/tex]

Therefore, the coordinates of the point P along the directed line segment AB so that the ratio of AP to PB is 3/2 are (14/5, -1).

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Answer:

The answer is 476, so the third option is correct.

Step-by-step explanation:

Step 1: Recall the Order Of Operations

The order of operations tells us in which order we have to solve expressions, if there are different operations.

The order is (from first solved to lastly solved) Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Step 2: Calculate the expression

As we can see, there are parentheses present, so we will solve the expression in them first:

[tex](6+4)\\=(10)[/tex]

The expression becomes:

[tex]10\cdot 49 -7\cdot 2[/tex]

Multiplication should occur first before the subtraction, so let's multiply the numbers:

[tex]10\cdot49-7\cdot2\\\\\text{Multiply the first expression:}\\=490-7\cdot 2\\\\\text{Multiply the second expression:}\\=490-14[/tex]

Now, you can subtract the numbers:

[tex]490-14\\=476[/tex]

Answer:

B

Step-by-step explanation:

x(2y - 3) ← multiply each term in the parenthesis by x

= 2xy - 3x

Surface area - The cost of medium popcorn will be $473.25.

What is surface area?

The surface area of a three-dimensional object is the space taken up by its outer surface.
For instance,
The surface area of a cube is what we need to calculate the amount of paint needed to paint it. It is consistently expressed in square units.

The surface area of the cylinder with the top open = πr(r + 2h)

we are given that,

r = 2in

h = 6in

taking π as 3.14, and substituting these vales in the above equation,

surface area = π x 2 (2 x 2 x 6)

= 3.14 x 2 (2 x 2 x 6)

= 1893in²

cost = 1893 x 0.25

= $473.25

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The size of the tank would be suggested to hold 40 small fish is 48 gallons. (Solved using ratios)

What is a ratio?

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains seven apples and six lemons, the apple-to-lemon ratio is seven to six. Similarly, the proportion of lemons to oranges is 6:7, while the proportion of oranges to overall fruit is 8:14. (or 4:7). A ratio can be defined by providing both constituent integers, which are written as "a to b" or "a:b," or by providing only the value of their quotient a/b. Equal quotients result in equal ratios. A and B are frequently referred to as ratio words, with A being the antecedent and B being the consequent.

This can be solved using ratios

size of tank = 40x6/5 = 48 gallon

The size of the tank would be suggested to hold 40 small fish is 48 gallons.

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Given:

2-cup carton of milk = $0.56

2-quart carton of milk for $3.76​

To find which of them is a better buy, let's calculate the price of each cup for both.

i) 2-cup carton of milk = $0.56

1 cup =

Here, 1 cup carton of milk is $0.28

ii) 2-quart carton of milk = $3.76​

Given that 1 quart = 4 cups

2 quart = 4 * 2 = 8 cups

Thus

1 cup =

Here, a cup carton of milk is $0.47

$0.28 is less than $0.47, therefore the better buy would be 2-cup carton of milk for $0.56.

Therefore, the best buy would be 2-cup carton of milk for $0.56, because it is cheaper.

ANSWER:

2-cup carton of milk for $0.56

The linear equation that best models the situation is: y = 15x + 125.

To write a linear equation, you need to determine the value of the unit rate or slope (m), and the value of the y-intercept or starting value (b). The linear equation in slope-intercept form that models the relationship between two variables x and y is expressed as, y = mx + b.

From the information given, we have:

Let y represent total cost

let x represents number of months.

To write the linear equation that models this situation, substitute m = 15 and b = 125 into y = mx + b:

y = 15x + 125.

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Given:

If you borrow $100, you will have an interest of $10.

Asked: How much do you owe at the end of four weeks?

Solution:

To solve this problem, we need to find the rate, r.

According to the given, we can get the rate by:

$100 x rate = $10

rate = $10/$100

rate = 0.10

Now, if you borrow $1100, you will pay at the end of four weeks the amount of:

$1100 x 0.10 = $110

Total amount = $1100 + $110 = $1210

ANSWER: You will owe $1210 at the end of four weeks.

Answer:

You will owe $1210 at the end of four weeks.

Answer:

2.7 feet

Step-by-step explanation:

S = a²

S = 7.29

a = sqrt(7.29) = 2.7

Answer:

2.7

Step-by-step explanation:

Area is [tex]side^{2}[/tex]

a= [tex]s^{2}[/tex]

[tex]\sqrt{7.29}[/tex] = 2.7

2.7 x 2.7 = 7.29

The equation of a line in point-slope form is y - 5 = 3( x - 1).

Equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.The slope of a line is defined as the rate of change of the y-axis with respect to the x-axis.

We know the equation of a line in point-slope form is y - y₁ = m(x - x₁).

Given P = (x,y) and Q = (1,5) or (x₁, y₁).

∴ Equation of a line in point-slope form given (x₁,y₁) = (1,5) and slope(m) = 3 is y - 5 = 3( x - 1).

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