The proportional relationship between the number of songs Nachelle downloads, s, and the total cost in dollars and cents, c, can be represented by the equation c=1.19sc=1.19s. How much does it cost to download a single song?

The two equations given, "Y = 5x - 9" and "X = y + 5", are a pair of linear equations. We can solve for the values of x and y by using substitution or elimination method.

Here's how to solve using the substitution method:

Y = 5x - 9

Y = (y + 5) + 5 - 9

5x - y - 4 = 0

y = 5x - 4

X = y + 5

X = (5x - 4) + 5

X = 5x + 1

5x + 1 = X

5x = X - 1

x = (X - 1) / 5

y = 5x - 4

y = 5((X - 1) / 5) - 4

y = X - 1 - 4

y = X - 5

So, the solution to the system of equations is (x, y) = ((X - 1) / 5, X - 5).

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Answer:

Step-by-step

The correct question which can be modeled by the inequality

7x + 6 < 30 is,

⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.

The correct option is c,

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

The inequality is,

⇒ 7x + 6 < 30

So, For the given inequality, the correct question is,

⇒ Dai must complete a project in less than 30 days. He work on a project 7 days each. To date, 6 days have already passed. What is greater number of weeks Dai has left to complete the project.

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Full Question ;

Which situation can be modeled by the inequality 7z+6 < 30?

A .A landscaper needs at least 30 pounds of fertilizer for lawns. Each lawn uses 7 pounds of fertilizer. What is the greatest number of lawns the landscaper can work on?

B. Miranda can spend no more than $30. She spends $7 for lunch and $6 for a subway fare. What is the greatest amount Miranda can spend on coffee?

C. Dai must complete a project in less than 30 days. He works on the project 7 days each week. To date, 6 days O have already passed. What is the greatest number of weeks Dai has left to complete the project?

D. A chef serves less than 30 steaks during dinner time. For 6 hours he serves the same number of steaks each hour. Then he serves 7 more steaks. What is the greatest number of steaks the chef served per hour?

The depreciation range ( Depreciated price) for 2021 RAV 4 LE FWD at $28,590 will be $17154-$20013 and for 2021 BMW Coupe 2-series at $45,500 will be $27300-$31850.

What is depreciation?

Almost everything we see around us has a useful life because it is being used up little by little every day or will become outdated as technology changes. Think about the computer you are using. You probably expect it to last only about five years because every time you access it, the components inside it get used up a little bit, and improved technology will eventually make it obsolete. This 'using up' is called depreciation, and that five years is considered the computer's useful life.

Now,

As given that average depreciation for cars is between 30% and 40%

that means their depreciated price will be between 60% and 70%.

Hence,

For 2021 RAV 4 LE FWD at $28,590

Depreciation range will be 60/100*28590 to 70/100*28590

i.e. $17154-$20013

For 2021 BMW Coupe 2-series at $45,500

Depreciation range will be 60/100*45500 to 70/100*45500

i.e. $27300-$31850

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The Geometric Sequence if first term is 9 and common ratio is 3 is 9,27,81,243,729 .

What is Geometric Progression ?

Geometric Progression can be defined when in  a sequence of numbers , if the ratio between consecutive numbers is same than it is said to be in Geometric Progression.

Given

The first term is 9

and common ratio is 3

So, we need to find the geometric sequence ,

Geometric sequence, An  = a * r^(n-1)

so here a=9

r = 3

a1 = 9

a2 = 9 * 3^(2-1)

a2 = 9*3

a2 = 27

a3 = 9 * 3^(3-1)

a3 = 9 * 3 * 3

a3 = 81

a4 = 9 * 3^(4-1)

a4 = 9 * 27

a4 = 243

a5 = 9*3^(5-1)

a5 = 9 * 81

a5 = 729

Hence, The Geometric Sequence if first term is 9 and common ratio is 3 is 9,27,81,243,729 .

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Answer:jrifigjitgjtigjijijiij

Step-by-step explanation:

jjfijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answer:

To find the scale factor between the two similar figures, we can use the ratio of their surface areas. Similar figures have the same shape but different sizes, so their surface areas will be in proportion to the scale factor.

We are given that the surface area of the first figure is 169 cm² and the surface area of the second figure is 121 cm².

The scale factor is the ratio of the surface area of the first figure to the surface area of the second figure.

The ratio can be found by dividing the surface area of the first figure by the surface area of the second figure:

169 cm² / 121 cm² = 13/9

So, the scale factor between the two similar figures is 13/9

Therefore, the answer is 13:9.

Using the standard 28/36 guidelines, the maximum mortgage payment allowed for someone with an annual salary of $72,550 is: $1,692.83.

First step is to find the monthly gross income

Monthly gross income = $72,550 /12 months

Monthly gross income = $6,045.83

Now let apply the standard 28/36 guidelines so as to find the  maximum mortgage payment allowed

Maximum mortgage payment allowed =  $6,045.83 × 28%

Maximum mortgage payment allowed =$1,692.83

Therefore the Maximum mortgage payment allowed is $1,692.83.

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From the description of the image of rhombus, Diana and Melissa are correct

C. Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides the same length.

A parallelogram's special case is the rhombus.

In a rhombus, the opposing sides are parallel and the opposing angles are equal.

A rhombus also has equal-length sides on each side, and its diagonals split at right angles. The rhombus is often known as a diamond or rhombus diamond.

From the description of the properties of rhombus it can be deduced that Melissa and Diana are correct to say that the the image is a rhombus

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The inequality that can be used to determine x, the maximum number of outfits David can purchase at the bicycle store while staying within his budget is 344.97 + 79.43x ≤ 540.

An inequality is a mathematical statement that shows that two or more mathematical expressions are unequal.

Inequalities are represented as either:

David's total spending budget at the bicycle store = $540

Tax-inclusive Prices:

New Bicycle = $298.79

3 Bicycle reflectors = $24.39 ($8.13 x 3)

A pair of bike gloves = $21.79

Total for the three items = $344.97

The remaining amount of the budget after the three items = $195.03

The cost of new biking outfits per unit = $79.43

Let the maximum number of outfits = x

$344.97 + $79.43x ≤ $540

344.97 + 79.43x ≤ 540

79.43x ≤ 540 - 344.97

79.43x ≤ 195.03

x ≤ 2

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Answer:Find the equation of a line.whose slope is 4 and which passes through the point (5, - 7) Class 11. >> Applied Mathematics. >> Straight lines. >> Various forms of the equation of a line. >> Find the equation of a line.whose slope. Question. Find the equation of a line.

Step-by-step explanation:

Answer:

100π

Step-by-step explanation:

Area of the circle is [tex]\pi r^2[/tex]. r is 10. So, the area is 100π

The equation of line is y = -50x + 300 , where the slope is m = -50 and the time t when Alonso was 225 miles away was t = 1.5 hours

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 2 , 200 )

Let the second point be Q ( 5 , 50 )

Now , the slope of the line between the points is ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 200 - 150 ) / ( 2 - 5 )

Slope m = -150/3

Slope m = -50

And , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 200 = -50 ( x - 2 )

On simplifying the equation , we get

y - 200 = -50x + 100

Adding 200 on both sides of the equation , we get

y = -50x + 300

So , when Alonso is at 225 miles away ,

Substitute the value of y = 225 miles , we get

225 = -50x + 300

Subtracting 300 on both sides of the equation , we get

-50x = -75

Divide by -50 on both sides of the equation , we get

x = 75/50

x = 3/2

x = 1.5 hours

Hence , the equation of line is y = -50x + 300

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Equation in slope-intercept form is y=5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope of line passing through points (2, 5) and (–3, 5)

m=5-5/-3-2=0

So the slope is 0

Y intercept is 5=0(2)+b

b=5

Hence, equation in slope-intercept form is y=5.

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All the given expressions are solved for specified values of {x}.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the expressions as shown.

The expressions given are solved for specified values of {x} as follows -

Therefore, all the given expressions are solved for specified values of {x}.

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The  9 x 10⁻¹¹ is greater number than 3 x 10⁻¹².

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

We have two numbers:

3 x 10⁻¹² or 9 x 10⁻¹¹.

To find the greater number;

Divide both numbers by 10⁻¹¹.

That means,

3 x 10⁻¹² becomes 3/10.

And 9 x 10⁻¹¹ becomes 9.

The absolute value,

9 > 3/10.

Therefore,  9 x 10⁻¹¹ is greater number.

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The cost per gallon of water is A)$0.0029.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here According to the question ,

Cost of 1600 cubic feet of water = $34.80

Now Here 1 cubic feet =  7.481 gallon then,

Then 1600 cubic feet = 11968.83 gallon

Cost of 1 gallon of water = [tex]\frac{34.80}{11968.83}[/tex] = $0.0029

Hence the cost per gallon of water is A)$0.0029.

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Answer:

Jogging = 10 hours

Swimming = 7 hours

Cycling = 3 hours

The value of the expression (a + b)² at a = 8 and b = 24 will be 1,024.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (a + b)²

The value of the expression at a = 8 and b = 24 will be calculated as,

⇒ (8 + 24)²

⇒ (32)²

⇒ 1,024

The value of the expression is 1,024.

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The worker recieves 3 hours of break time per day.

Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.

The worker recieves three breaks, meaning it recieves 3 hours of break time per day.

Therefore, the worker recieves 3 hours of break time per day.

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The value of cos(A+B)​ is -4/5.

Suppose we've got trigonometric cosine of angle A and B measurements.

Then, we have:

[tex]\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)[/tex]

If we get A = B, then:

[tex]\cos(2A) = \cos^2(A)- \sin^2(A)[/tex]

Given;

cosA=3/5

sinB=7/25

Now,cos(A+B) = cos A cos B - sin A sin B

for angle A 3^2+4^2 = 5^2

cos A = 3/5 so sin A = 4/5

for angle B 24^2 + 7^2 = 25^2

cos B = -24/25 and sin B = 7/25 because B is obtuse

Substituting the values in cos(A+B)​

=3/5*-24/25-4/5*7/25

=-72/125-28/125

=-100/125

=-4/5

Therefore, the value of trigonometric identity will be -4/5.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because it is correct

The solution of the equation  -22 = q + 7(2q - 1) is as follows:

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equations as follows:

-22 = q + 7(2q - 1)

The variable in the equation is q. A variable is an letter use to represent number in an equation.

-22 = q + 7(2q - 1)

-22 = q + 14q - 7

-22 = 15q - 7

add 7 to both sides of the equation

-22 + 7 = 15q - 7 + 7

-15 = 15q

divide both sides by 15

q = -15 / 15

q = -1

Therefore,

q = -1

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Answer:

-22 = q + 7(2q - 1)

-22 = q + 14q - 7

-22 = 15q - 7

add 7 to both sides of the equation

-22 + 7 = 15q - 7 + 7

-15 = 15q

divide both sides by 15

q = -15 / 15

q = -1

Step-by-step explanation:

Using Venn Diagram formula, 13 students ordered both food, 10 students ordered meat pie but not fried rice​.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams help to visually represent the similarities and differences between two concepts.

Using Venn diagram formula,

n(A U B) = n(A) + n(B) – n (A ⋂ B)

Given,

n(A U B) = Total students = 50

n(A) = 23 ordered meat pie

n(B) = 34 ordered fried rice

6 ordered neither meat pie nor fried rice

As 6 students ordered neither meat pie nor fried rice,

Total students = 50 - 6 = 44

According to n(A U B) = n(A) + n(B) – n (A ⋂ B)

⇒ 44 = 23 + 34 - n (A ⋂ B)

⇒ 44 = 57 - n (A ⋂ B)

⇒ - 57 + 44 = - n (A ⋂ B)

⇒ n (A ⋂ B) = 13

13 students ordered both food.

students ordered meat pie but not fried rice​ = n(A) – n (A ⋂ B) = 23 - 13 = 10

10 students ordered meat pie but not fried rice​

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Answer:

hablas espanol para ayudarte

We can conclude that -

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

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The theoretical probability for each event is given below.

Given is that a bag contains 31 red​ blocks, 46 green​ blocks, 22 yellow​ blocks, and 26 purple blocks.

Total number of blocks = n{T} = 31 + 46 + 22 + 26 = 125

Therefore, the theoretical probability for each event is given above.

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The answer is neither. Option C

A linear number pattern is a sequence of numbers whose difference between all the terms is the same. When you count, the difference between each successive number is 1. You start with 1, then you add 1 to get 2. Then you add another 1 to get 3. And you keep repeating this addition of 1 process to get the rest of the terms.

Exponential notation is used to represent very large numbers and very small numbers. When representing very large numbers, the exponential notation will have a positive exponent; when representing a really small number, the exponential notation will contain a negative exponent.

From the question, the pattern of the number takes non of the pattern or neither linear or exponential

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