Please solve for y. There should be no actual numbers besides for 9.

In linear equation,  R = 4c is an equation to represent the amount R Natalia and her friends raised after selling c cakes.

What are a definition and an example of a linear equation?

The equation that will represent the amount raised after selling the cakes to be written in slope-intercept form is given as .

Where,

y = R (amount of cake sold in dollars)

x = c (cakes sold)

m = slope

b = y-intercept.

The equation would look like

R = mc + b

We need to find the value of m and b, to get an equation to represent the situation.

The first point we have from the information given is (15, 60) => 15 cakes sold for $60.

The second point is (22, 88) => 22 cakes sold for $88.

Slope(m) = 88 - 60/22 - 15 = 28/7 = 4

To find b, substitute c = 15, R = 60 and m = 4, into R = mc + b

  60 = 4(15) + b

  60 = 60 + b

   b = 0

Since b = 0, this means there is a proportional relationship between R and c.

Substitute m = 4 and b = 0 into   R = mc + b to derive an equation to represent the amount R Natalia and her friends raised after selling c cakes.

    R = 4c + 0

    R = 4c

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The volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square inches is 30 cubic inches.

Tetrahedrons are polyhedra made up of four triangular faces, six straight edges, and four vertex corners. They are also referred to as triangular pyramids.

The given shape is known as a triangular pyramid and the formula for calculating its volume is expressed as:

V = BH/3

where

B is the base area

H is the height of the prism

Determine the base area

B = 1/2 * base * height

B = 9 square inches

H = 10 inches

Substitute the given parameters into the formula

V = 9*10/3

V = 3*10

V = 30 cubic inches

This given the required volume of the prism

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Answer:

  3.97%

Step-by-step explanation:

You want to know the annual interest rate, compounded daily, that will result in $43,000 growing to $75,000 in 14 years.

The formula for the account value is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

Filling in the given values, we can solve for r.

  75000 = 43000(1 +r/365)^(365·14)

  75/43 = (1 +r/365)^5110 . . . . . divide by 43000 and reduce the fraction

Taking the 1/5110 power gives ...

  (75/43)^(1/5110) = 1 +r/365 ≈ 1.00010886855

  r/365 = 0.0010886855 . . . . subtract 1

  r = 0.001086855·365 . . . . . multiply by 365

  r ≈ 0.039737 = 3.9737%

The required interest rate is about 3.97%.

The following examples are shown below:

In this problem we have to present five types of real numbers, which are defined and shown below:

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Answer: 8/15

Step-by-step explanation:

2/3 x 4/5, multiply numerators and denominators

8/15 or 0.533

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

initial money = $8

final money = $11

percent of change = ?

Step 02:

percent of change

percent of change = ( final money - initial money ) / initial money * 100

= ( 11 - 8 ) / 8 * 100

= 3/8 * 100

= 0.375 * 100 = 37.5 %

The answer is:

The percent of change is 37.5 %

Answer:

x = -3/4, x = 0, x = 5

Explanation:

The equation can be rewritten as

The roots are found by equating the above to zero:

One root we immediately notice is x = 0. The other roots are found using the fact that

To solve for x we use the quadratic formula which says for

the x is given by

An inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.

Given that, You have a goal to practice the piano for an average of at least 45 minutes per day for one week.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let m be the number of minutes you need to practice on the seventh day

The inequality for the given situation is

245+m≤315

⇒ m≤315-245

⇒ m≤70

Therefore, an inequality that represents the number of minutes m you need to practice on the seventh day is m≤70.

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"Your question is incomplete, probably the complete question/missing part is:"

You have a goal to practice the piano for an average of at least 45 minutes per day for one week. The first six days you practice a total of 245 minutes.

Write and solve an inequality that represents the number of minutes m you need to practice on the seventh day.

Let's find the unit price of each store

Store A : $8.16 /4 = $2.04 per pound

store B: $6.51 / 3 = $2.17 per pound

store c: $2.66 / 2 = $1.33 per pound

store D : $11.40 / 4 = $ 2.85 per pound

Therefore, store A, store B, store C and store D sells at a lower unit price than Corner grocery store.

Answer:

540,000

Step-by-step explanation:

Since you are rounding to the 10,000s place you must look at the 1,000s place to decide what to round to. Since in the 1,000s place is a 1, you will round the number down (1 < 5).

Answer:

what is the question?

Step-by-step explanation:

Answer:  22:2, 33:3 and, 44:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

22 : 2

33 : 3

44 : 4

Answer:

To stay within budget, she must use 3.9 gigabytes.

Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."

The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.

If she wants to keep her bill at $74 per month, the equation can be set up as follows:

54.50 + 5x = 74

To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:

5x = 74 - 54.50

5x = 19.50

Finally, divide both sides by 5:

x = 19.50 / 5

Simplifying the division gives us:

x = 3.9

Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

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Answer:

She worked Seven (7) hours.

Step-by-step explanation:

$112.75 is the total

she earned $62 in tips which doesn't count because the questions asked for how long she worked.

Adding tips would make the equation unreliable because how long people work doesn't really affect how much tips you get. You maybe getting 50 bucks of tips in the first and 40 in the next.

solving steps: (where x = number of hours worked)

7.25x + 62 = 112.75 <<<the true equation based on the story

7.25x = 112.75 - 62

7.25x = 50.75

x = 50.75 ÷ 7.25

x = 7

Seven (7) hours worked.

The distance of the friends house from Greg’s houses is 1.2 miles.

From the information illustrated, Greg is at his house he gets in his car drives north 8.9 miles and stops at a store then he turns around and drives south 7.7 miles to his friends house how

The distance will be the difference between the miles that are given.

This will be:

= 8.9 miles - 7.7 miles

= 1.2 miles

The distance is 1.2 miles.

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Answer:

29/49

Step-by-step explanation:

x:y = 3:4

let x = 3x , y = 5k

3x+4y/8x+5y

= 3(3k)+4(5k)/8(3k)+5(5k)

= 9k+20k/24k+25k

=29/49

       The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Below is a scale illustration of the Colombian flag that ranges from 1 cm to 2 ft.

         It is already stated that all measurements would be done using a fixed scale for a given scale drawing. Let the scale, for illustration, be K feet to s inches.

1ft ; s/k in

Thus, all foot measures will be multiplied by s/k to obtain the relevant lengths in the drawing.

Since the ratio is 2:1, there are 1 centimeter for every 2 feet.

This indicates that to reach 33, we must divide 66 by 2.

66/2 = 3

As a result, the scale drawing of the Colombian flag is attached below and has a scale of 1 cm to 2 ft.

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Answer:

[tex](f \circ g)(24)=-36[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]

Function Composition is applying one function to the results of another.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).  

Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).

Calculate g(24) by substituting x = 24 into function g(x):

[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]

Answer:

(f∘g)(24) = -36

Step-by-step explanation:

We are given f(x) = -9x + 9 and  [tex]g(x)= \sqrt{x+1}[/tex].

We want to find (f∘g)(24).

This means that we first want to find g(24), then substitute the value of that into f(x).  

Start by substituting 24 for x in g(x).

[tex]g(24)= \sqrt{24+1}[/tex]

Add 24 and 1 together.

[tex]g(24)= \sqrt{25}[/tex]

Take the square root of 25.

g(24) = 5

Now, substitute 5 as x in f(x) = -9x + 9.

f(5) = -9(5) + 9

Multiply.

f(5) = -45 + 9

Add the numbers together.

f(5) = -36

f(5) in this case has the same value as (f∘g)(24)

This means that (f∘g)(24) = -36

Answer:

Step-by-step explanation:

erm

A triangle is 180 degrees

Add both angles then subtract by 180

Answer:

The exact answer would be:

[tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]  an approximate answer to the nearest whole number would be 7

Step-by-step explanation:

To find the missing side we would use the Pythagorean Theorem.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] =[tex]c^{2}[/tex]

[tex]\sqrt{7} ^{2}[/tex] + [tex]b^{2}[/tex] = [tex]\sqrt{46} ^{2}[/tex]

7 + [tex]b^{2}[/tex] = 46  Subtract 7 from both sides

[tex]b^{2}[/tex] = 39

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{39}[/tex]

b = [tex]\sqrt{39}[/tex]

The perimeter, the distance around the triangle, is [tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]

Answer:

26 pens

Step-by-step explanation:

Let P and R be the numbers of Pens and Rulers Saj purchases.

The cost of P Pens and R Rulers:

Pens = P(20p)

Rulers = R(60p)

P(20p) + R(60p) = £10

P(0.20) + R(0.60) = 10

R = 8

P(0.20) + (8)*(0.60) = 10

P(0.20) + 4.8= 10

P(0.20) = 5.2

P = (5.2/0.20)

P = 26 pens

CHECK:

8 Rulers = 8*(60p) = 480p

26 Pens = 26*(20p) = 520p

Total = £10

Answer:

y=3x+5

Step-by-step explanation:

Answer:

249.40

Step-by-step explanation:

We will solve as follows:

Recall that the opposite of 2 is

Therefore, the opposite of the opposite of 2 is

Now, recall that a horizontal number line is of the form:

Therefore, 2 is to the right of zero.

Answer:

On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.

As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.

In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.

This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.

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We need to know how to read a graph inorder to solve the problem. At the end of 6 weeks, Lorena will have more money, she will have $8 more than Benita.

We know that Lorena started with $40 and she added $8 every week. We need to find out the final amount she has at the end of 6 weeks. For Benita, we can see from the graph that she started with $50, since the graph starts from $50, and if we observe the amount after every week we can see that she adds $5 every week to the savings. We can directly say from the graph that the final amount Benita has after 6 weeks is $80.

amount Lorena has after 6 weeks = 40+ (6x8)=40+48=$88

Therefore we can see that Lorena will have more money after 6 weeks and she has $8 more than Benita.

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here's your answer hope it helps