Analysis questions: 1. Find the slope of the line that goes through donuts 1-12. Find the slope of the line that goes from donuts 13-25. Are they the same or not?| 2. What if we only buy in amounts of baker's dozens? Is there a line for those? What points are on this line? What is the slope? 3. How much money do you save with the baker's dozen deal on 30 donuts? Where can this amount be seen on the graph?

Let's begin by identifying key information given to us:

Principal (p) = $690

Interest rate (r) = 7% = 0.07 per year

Time (t) = 8 years

The amount of money that Ji-yoon has in 8 years is calculated as shown below:

Answer:

y=3x+5

Step-by-step explanation:

Answer: 8/15

Step-by-step explanation:

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

8/15 or 0.533

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

Answer:

w = 9

Step-by-step explanation:

This is a 90-degree angle, so if you add both equations together, they will equal 90.

First, write the equation:

(4w - 7) + (7w - 2) = 90

Then you solve for w:

- add like factors

11w - 9 = 90

- add 9 to both sides

11w = 99

- divide both sides by 11

w = 9

So, the value of w is 9.

To check, plug your answer into the equation to check if it's true:

(4(9) - 7) + (7(9) - 2) = 90

(36-7) + (63-2) = 90

29 + 61 = 90

90 = 90

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

Answer:

0

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

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.

Answer:

y axis-(0,6) x axis-(5,0) quad 1-(8.7,2.3) quad 2-(-1,10)  quad 3-(-1/4,-6 1/2) quad 4-(5,-2)

Step-by-step explanation:

Answer Las raíces de la ecuación x2 − 6x + 7 = 0 son α y β. Encuentra la ecuación con raíces α + 1 β y β + 1 α. Deduzco que α + β = − b a = 6 1 = 6 y que αβ = c a = 7 1 = 7.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

I remember this question.

Answer:

c

Step-by-step explanation:

Answer:

249.40

Step-by-step explanation:

Answer:

0.64 is 1 3/5% of 40

Step-by-step explanation:

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).

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.

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.

Explanation

Step 1

diagram

so

Step 2

let

a)total area= side1*side 2

and

Step 3

solve

let

and in teh second equation we have

replace to find y

so

the maximum area is

so, the greates area is

therefore, the answer is

359.1 square cm

I hope this helps you

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

here's your answer hope it helps

The equations are solved to give;

46. x = 5

48. h = 1

50. The inequality is 7 ≤ d/ -5

An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.

They are described as expressions made up of arithmetic operations which includes;

Given the expression;

46.  |2x + 5| = 3x

Take the absolute value, we have;

2x + 5 = 3x

collect like terms

2x - 3x = - 5

-x = -5

x = 5

48.  (3h + 8) + 2 = 13

expand the bracket

3h + 8 + 2 = 13

collect like terms

3h = 13 - 10

3h = 3

Make 'x' the subject of formula

h = 1

50. Seven is at most the quotient of a number d and -5.

This is expressed as;

7 ≤ d/ -5

Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5

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The percent tip when Jayden's dinner bill is $29 is 18%.

According to the question,

We have the following information:

Bill of Jayden's dinner = $29

After adding the tip, Jayden paid $34.22.

Now, we will find the percent tip.

First, we will find the amount added to the bill.

$(34.22-29)

$5.22

Now, let's take the percent tip to be x%.

x% of 29 = 5.22

29x/100 = 5.22

29x = 522

x = 522/29 (29 was in multiplication on the left hand side. So, it is in the division on the right hand side.)

x = 18%

Hence, the percent tip on Jayden's dinner is 18%.

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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:

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.

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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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%.

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:

350m

Step-by-step explanation:

Vi = 15 m/s

A = 4 m/s^2

delta t = 10s

delta x = ?

delta x = (Vi)(delta t) + 1/2(A)(delta t)^2

delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2

delta x = 350 m