Luna brought all her savings with her to ieme, in euros,
For the first week, she spent the same amount of money
each day. The table shows how much Luna had left at the
end of each day
What was the initial value of Luna's savinge?

A.) 35 euros
B.) 350 euros
C.) 315 euros
D.) 80 euros

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

P= 80, A= 160000

Step-by-step explanation:

P= 20+20+20+20

A= 20x20x20x20

Using the triangular inequality we will get that:

A) 2 < x < 34.

B) 0 < x < 130

For a triangle with sides A, B, and C, the triangular inequality says that:

A + B > C

A + C > B

B + C > A

A) two lengths are 18 yards and 16 yards, and the missing length is x, so we can write:

18 + x > 16    →   x > 16 - 18 = -2

16 + x  > 18   →   x > 18 - 16 = 2

16 + 18 > x     →  34 > x

Taking the two more restrictive ones, we can see that 2 < x < 34.

B) Same thing:

x + 65 > 65

x + 65 > 65

65 + 65 >  x

If we simplify that, we will get:

0 < x < 130

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Answer:

1216.8

Step-by-step explanation:

Multiply  240  by  5.07 . 1216.8

Answer:

50 miles per hour

Step-by-step explanation:

Just divide 350 by 7

Answer:

\( 2 \sqrt[3] {60}~mm \)

Step-by-step explanation:

The volume of a cube is the side cubed, so each edge is the cubic root of the volume.

V = 480 mm³

\( s = \sqrt[3] {V} \)

\( s = \sqrt[3] {480~mm^3} \)

\( s = \sqrt[3] {2^3 \times 2^2 \times 3 \times 5~mm^3} \)

\( s = \sqrt[3] {2^3} \times \sqrt[3] {2^2 \times 3 \times 5~mm^3} \)

\( s = 2 \sqrt[3] {60}~mm \)

Work from left to right:

190-87 = 103

103 + 16 = 119

The answer is D. 119

Answer:

C. 87

Step-by-step explanation

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step 1: Addition

87 + 16 = 103

Step 2: Subtraction

190 - 103 = 87

Step 3: Check your answer

87 + 103 = 190

Answer:

To solve for the price of a single song, we can set up the following equation:

Kendrick paid $14.90 for 5 songs + 1 album = $x for a single song

We can solve for x by dividing both sides of the equation by 5:

$14.90 / 5 = $x / 5

This simplifies to:

$x = $2.98

So the music club charges $2.98 to download a single song.

To solve for the price of an entire album, we can set up the following equation:

Geoffrey paid $21.75 for 3 songs + 2 albums = $y for an entire album

We can solve for y by subtracting the cost of the songs from both sides of the equation:

$21.75 - $2.98 * 3 = $y - $2.98 * 3

This simplifies to:

$12.79 = $y

So the music club charges $12.79 to download an entire album.

Step-by-step explanation:

Answer:

$1.15 and $9.15

Step-by-step explanation:

let s represent the cost of a song and a represent the cost of an album , then

5s + a = 14.9 → (1)

3s + 2a = 21.75 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate a

- 10s - 2a = - 29.8 → (3)

add (2) and (3) term by term to eliminate a

- 7s + 0 = - 8.05

- 7s = - 8.05 ( divide both sides by - 7 )

s = 1.15

substitute s = 1.15 into either of the 2 equations and solve for a

substituting into (1)

5(1.15) + a = 14.9

5.75 + a = 14.9 ( subtract 5.75 from both sides )

a = 9.15

(a) the charge for downloading a song is $1.15

(b) the charge for downloading an album is $9.15

Answer:

\(20(x - y)² - 45y² = 5(2(x - y) + 3y)(2(x - y) - 3y)\)

Step-by-step explanation:

We can start by factoring out the common factor of 5 from both terms:

\(20(x - y)² - 45y² = 5(4(x - y)² - 9y²)\)

Now, we can see that we have a difference of squares in the second set of parentheses:

\(= 5(2(x - y) + 3y)(2(x - y) - 3y)\)

Therefore, the fully factorized expression is:

\(20(x - y)² - 45y² = 5(2(x - y) + 3y)(2(x - y) - 3y)\)

This means that she made a 20% return on the money she invested in the property. For every dollar she invested, she earned 20 cents in profit.

To calculate Jennifer Aniston's return on investment (ROI), we can use the formula:

ROI = (Net Profit / Initial Investment) * 100

First, let's calculate the net profit. The net profit is the selling price minus the initial investment:

Net Profit = Selling Price - Initial Investment

Net Profit = $2,200,000 - $2,000,000

Net Profit = $200,000

Next, we calculate the ROI:

ROI = (Net Profit / Initial Investment) * 100

ROI = ($200,000 / $1,000,000) * 100

ROI = 0.2 * 100

ROI = 20%

Jennifer Aniston's return on investment for this property is 20%.

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Answer:

( p -9)

Step-by-step explanation:

The sampling technique used to obtain the following sample is Stratified sampling

Sampling is defined that selecting the group that you will actually collect data from in your research

Here we have given that the group of people are classified according to food preference and then random samples of people from each group are taken.

And we need to find the sampling technique used to obtain the following sample.

As per the definition of sampling, here we have know that group of people are classified according to food preference and then random samples of people from each group are taken.

The main constraint here used is food preference.

This type of concept is mainly done by the sampling method known as Stratified sampling because it mainly focus on including subjects from every subgroup, ensuring that it reflects the diversity of your population.

Therefore, option C is correct.

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Answer:2x-1=0

Step-by-step explanation:

x=1/2

Cross multiply

2x=1

Subtract 1 from both sides

2x-1=1-1

2x-1=0

The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given expression;

x=1/2

2x=1

Take 1 away from both sides.

2x-1=1-1

2x-1=0

The equation below has a solution of x= 1/2 will be 2x-1=0.

Hence, option A is correct.

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The function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

How to find  x-intercepts?

To find the x-intercepts, we set y = 0 and solve for x:

(x⁴/4) - x² + 1 = 0

This is a fourth-degree polynomial equation, which is difficult to solve analytically. However, we can use a graphing calculator or software to find the approximate x-intercepts, which are approximately -1.278 and 1.278.

To find the y-intercept, we set x = 0:

y = (0/4) - 0² + 1 = 1

So the y-intercept is (0, 1).

To find the vertical asymptotes, we set the denominator of any fraction in the function equal to zero. There are no denominators in this function, so there are no vertical asymptotes.

To find the horizontal asymptote, we look at the end behavior of the function as x approaches positive or negative infinity. The term x^4 grows faster than x^2, so as x approaches positive or negative infinity, the function grows without bound. Therefore, there is no horizontal asymptote.

To find the critical points, we take the derivative of the function and set it equal to zero:

y' = x³- 2x

x(x² - 2) = 0

x = 0 or x = sqrt(2) or x = -sqrt(2)

These are the critical points.

To determine the intervals where the function is increasing and decreasing, we can use a sign chart or the first derivative test. The first derivative test states that if the derivative of a function is positive on an interval, then the function is increasing on that interval. If the derivative is negative on an interval, then the function is decreasing on that interval. If the derivative is zero at a point, then that point is a critical point, and the function may have a relative maximum or minimum there.

Using the critical points, we can divide the real number line into four intervals: (-infinity, -sqrt(2)), (-sqrt(2), 0), (0, sqrt(2)), and (sqrt(2), infinity).

We can evaluate the sign of the derivative on each interval to determine whether the function is increasing or decreasing:

Interval (-infinity, -sqrt(2)):

Choose a test point in this interval, say x = -3. Substituting into y', we get y'(-3) = (-3)³ - 2(-3) = -15, which is negative. Therefore, the function is decreasing on this interval.

Interval (-sqrt(2), 0):

Choose a test point in this interval, say x = -1. Substituting into y', we get y'(-1) = (-1)³ - 2(-1) = 3, which is positive. Therefore, the function is increasing on this interval.

Interval (0, sqrt(2)):

Choose a test point in this interval, say x = 1. Substituting into y', we get y'(1) = (1)³ - 2(1) = -1, which is negative. Therefore, the function is decreasing on this interval.

Interval (sqrt(2), infinity):

Choose a test point in this interval, say x = 3. Substituting into y', we get y'(3) = (3)³ - 2(3) = 25, which is positive. Therefore, the function is increasing on this interval.

Therefore, the function is decreasing on the intervals (-infinity, -sqrt(2)) and (0, sqrt(2)), and increasing on the intervals (-sqrt(2), 0) and (sqrt(2), infinity).

To find the inflection points, we take the second derivative of the function and set it equal to zero:

y'' = 3x² - 2

3x² - 2 = 0

x² = 2/3

x = sqrt(2/3) or x = -sqrt(2/3)

These are the inflection points.

To determine the intervals where the function is concave up and concave down, we can use a sign chart or the second derivative test.

Using the inflection points, we can divide the real number line into three intervals: (-infinity, -sqrt(2/3)), (-sqrt(2/3), sqrt(2/3)), and (sqrt(2/3), infinity).

We can evaluate the sign of the second derivative on each interval to determine whether the function is concave up or concave down:

Interval (-infinity, -sqrt(2/3)):

Choose a test point in this interval, say x = -1. Substituting into y'', we get y''(-1) = 3(-1)² - 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Interval (-sqrt(2/3), sqrt(2/3)):

Choose a test point in this interval, say x = 0. Substituting into y'', we get y''(0) = 3(0)² - 2 = -2, which is negative. Therefore, the function is concave down on this interval.

Interval (sqrt(2/3), infinity):

Choose a test point in this interval, say x = 1. Substituting into y'', we get y''(1) = 3(1)²- 2 = 1, which is positive. Therefore, the function is concave up on this interval.

Therefore, the function is concave up on the interval (-infinity, -sqrt(2/3)) and (sqrt(2/3), infinity), and concave down on the interval (-sqrt(2/3), sqrt(2/3)).

To find the relative extrema, we can evaluate the function at the critical points and the endpoints of the intervals:

y(-sqrt(2)) ≈ 2.828, y(0) = 1, y(sqrt(2)) ≈ 2.828, y(-1.278) ≈ -0.509, y(1.278) ≈ 2.509

Therefore, the function has a relative minimum at (-1.278, -0.509) and a relative maximum at (1.278, 2.509).

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Okay, let's break this down step-by-step:

* The distance between Marisa's house and the post office is 720 m

* Marisa walks at an average speed of 80 m/min

* To calculate the time:

** Distance / Speed = Time

** 720 m / 80 m/min = 9 minutes

Therefore, if the distance is 720 m and Marisa's average walking speed is 80 m/min, it will take her 9 minutes to walk from her house to the post office.

The value of the division for 7 1/2 divided by 3/4 will be 10.

It is important to note that this questions relates from a fraction. A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The value of the division will be:

= 7 1/2 ÷ 3/4

= 15/2 ÷ 3/4

= 15/2 × 4/3

= 60/6

= 10

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2.25 original answer was wrong

Answer:

Step-by-step explanation:

plz follow me

Answer:

13 plates in one stack.

Step-by-step explanation:

If you divide 39 (the plates) amongst the 3 stacks, you get 13.

Answer: 0.4714

Step-by-step explanation: square root of 8 is 2.8284 divided by 6 = 0.4714.

\( \frac{6}{ \sqrt{8x} } \\ \frac{ {6}^{2} }{ {( \sqrt{8x)} }^{2} } \\ \\ \frac{36}{8x} \\ \ \\ \frac{36 \div 4}{8x \div 4} \\ \\ \frac{9}{2x} \)

this is one of the ways to simplify it

you can divide 9 by 2 the answer will be 4.5x

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.

Step-by-step explanation:

Hope this helps

Answer:

y = (2/3)x - 2

Step by step explanation:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Answer:Thus, the number of dimes is  

7

and the number of nickels is 7 + 6 = 13

0.10

x

+

0.05

(

x

+

6

)

=

1.35

0.10

x

+

0.05

x

=

1.35

−

0.30

0.15

x

=

1.05

x

=

1.05

0.15

=

7

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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