the variable y is directly proportional to x. if y equals -0.6 when x equals 0.24, find x when y equals -31.5.

When Hector opens up the refrigerator he finds the next :

He drinks 2/5 of the milk he found, then he drank:

And he left in the bottle of milk:

And after that Kevin open up the refrigerator and finds the next:

Kevin drinks 1/3 of what is left, then he drinks:

And then he left:

And the milk he left in the bottle is:

We can write a system of equations that describe our problem.

Since we don't know how the original $100,000 was divided, we call the two parts X and Y

So we know that X + Y = 100000

Then we know the Combined Interest coming from the accounts.

We use the Interest formula for return on investment:

I = P * r * t

were P is the principal, r is the percent rate (in decimal form), and t is the number of years (in our case 1)

Then the interest from the 3% account (let's call it I1) (if X amount of money was deposited there) is:

I1 = X * 0.03 * 1 = 0.03 X

Similarly, the interest I2 coming from the 1% account (if Y amount of money was deposited there) is given by:

I2 = Y * 0.01 * 1 = 0.01 Y

Then, the addition of these two interest is our total return of $1800:

0.03 X + 0.01 Y = 1800

Then our system of equations is:

X + Y = 100000

0.03 X + 0.01 Y = 1800

which we solve by substituting for example for Y in the first equation:

Y = 100000 - X

and replacing the Y by this expression in our second equation:

0.03 X + 0.01 (100000 - X) = 1800

use distributive property to eliminate parenthesis:

0.03 X + 1000 - 0.01 X = 1800

combine like terms

0.02 X + 1000 = 1800

subtract 1000 from both sides

0.02 X = 800

divide both sides by 0.02 to completely isolate X:

X = 800 / 0.02

X = $40000

This is the amount deposited on the 3% account

Then we easily calculate the amount deposited in the other account by replacing x with $40000 in the equation we use for substitution:

Y = $100000 - $40000 = $60000

Then, the amount deposited in the 1% account was $60000

and the amount deposited in the 3% account was $40000.

Given:

six pack of water = $6.90

To find:

Unit(one) price of water bottle(Price of one water bottle).

Therefore,

The price of one water bottle is $1.15.

Use the distributive property to expand the parenthesis:

Then:

We can write this inequalities as:

If the cargo W has to be 2,800 pounds at most, then:

The shopper has to spend $100 or more to get a discount, so the spending d to get a discount can be written as:

Answer:

Uncle Bill has ignored the laws of nature and the known universe and reached a stunning 4096 years old

Step-by-step explanation:

Just multiply 8 * 512

500 * 8 = 4000, 12 * 8 = 96, 4000 + 96 = 4096

Answer:44

Step-by-step explanation:

To solve this problem, first, let's remember the definitions of even and odd functions.

• A function f is ,even, if the graph of f is ,symmetric about the y-axis,.

• A function f is ,odd, if the graph of f is ,symmetric about the origin.

a) To make the function even, we must complete the graph such the graph result is symmetric about the y-axis (the vertical axis). Doing that we get:

b) To make the function odd, we must complete the graph such the graph result is symmetric about the origin (the horizontal axis). Doing that we get:

Accoring to the given figures, the pentagon is the one without parallel sides.

First, we convert the 210 pounds to kilograms as the dose is given in mg per kg.

Recall that:

Therefore:

The dose call for 330 mg per kg, therefore, to get the dose for 95.2544 kg, we multiply by 95.2544:

Finally, dividing by 4 we get the dose the person should receive every 6 hours:

Given data:

Gracie has 5 more than times mary have G=5+a(x).

Nancy has 1 ore than ties mary have N=1+b(x)

Given that G=N

5+ax=1+bx

4=x(b-a)

The line passes through the points given.

Select any two points from the table, (-4,2) and (-3,5).

The slope is given by:

Hence the slope is:

The slope is 3.

Solution

Given question

11.85 = 2.1n + 4.5

Requirement

To isolate n

Step 1

Using the subtraction property of equality to isolate the variable

11.85 - 4.5 = 2.1n + 4.5 -4.5

7.35 = 2.1n

Step 2

use the division property of equality to isolate the variable

7.35/2.1= 2.1n/2.1

n = 3.5

Answers are 1 first, then 2 next, those are the 2 steps

Answer:

Over 98 years, London scored 75.14% per season between 254 and 338 points.

Step-by-step explanation:

Question 1

Explanation

To solve these types of questions, we will use the Tangent radius theorem

Tangent to a Circle Theorem

The tangent theorem states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

The figure below helps give a pictorial view

The principle to be used here for question 1 will be

Simplifying further

Thus, the value of x is 15 units

GIVEN:

We are given the following trigonometric expression;

Required;

We are required to evaluate and answer both in radians and in degrees.

Step-by-step solution;

We shall begin by using the trig property;

Therefore, we now have;

We now use the table of common values and we'll have;

Therefore;

We can now convert this to degrees;

Substitute for r (radian measure):

Now we can cross multiply;

Therefore,

ANSWER:

Beginning inventory = 16,000 Purchase = 115,000 Sales = 140,000 Mark up = 25% on cost Undamanged inventory = 2,000

The value of the inventory lost in fire is 2,000

How do you take inventory loss due to fire into account?

The cost of products available for sale is then subtracted from the cost of goods sold. The quantity will reflect how much inventory the fire has actually destroyed. As an illustration, $275,000 minus $80,000 = $195,000, which represents the amount of inventory destroyed in the fire.

Calculate the quantity of inventory destroyed by deducting the cost of sold goods from the cost of goods that are still in stock. In this scenario, the amount of merchandise lost in the fire was $275,000 less $70,000, or $205,000.

To learn more about inventory loss refer to:

https://brainly.com/question/14159119

#SPJ13

Answer: x[tex]\leq[/tex]18

SOLUTION

We want to find the magnitude of the vector (-3, 4)

Magnitude of a vector is given as

Hence the answer is 5 units, the last option

To find the missing numerator si that both fractions are equivalent, you have to multiply both sides of the equal sign by 72:

The missing numerator is 63

The equivalent fractions are:

Using the Borda's method, when one person is ranked as 1st, he/she gets 3 points, if he/she is ranked 2nd, get 2 points, also, if he/she is ranked as 3rd get 1 point, and finally, 0 points if she/he is ranked as 4th

so, let's detemine how many points got each one

Cardona: Was selected 1st by 6 people, 2nd by 2 people, 3rd by 4 people and 4th by 2 people

So, that's a total of 26 points

Pitts-Jones: Was selected as: #1 by 4 people, #2 by 3 people, #3 by 6 people and 4th by 1 person

So, that's 24 points for Pitts-Jones,

De Plata: Was ranked #1 by 2 people, #2 by 8 people, #3 by 1 person and #4 by 3 people

That's 23 points for De Plata

Vincent: Was ranked as #1 by 2 people, #2 by 1 person, #3 by 3 people and #4 by 8 people

that's 11 points for Vincent,

Answer: From the above, we can conclude that the winner using Borda's method is Cardona

The value of tan(R) in the right triangle PQR where Perpendicular=QP, Base=RQ, Tan R=P/B. The slope of a straight line is the tangent of the angle made by the line with the positive x-axis.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular symbol,⟂, can be used to graphically represent the condition of perpendicularity. It can be defined between two planes, two lines, or two planes and another line.

The base of a right angle triangle is the side on which it is positioned. The calculation can also be done using any of the two sides other than the hypotenuse as the base. It is the side of the right-angled triangle that is perpendicular to its base.

here,

Perpendicular=QP

Base=RQ

Tan R=P/B

=QP/RQ

Tan R=6/8

The perpendicular QP, base RQ, and tan's (R) values in the right triangle PQR. Tan's (R) = P/B. The tangent of the angle formed by the line with the positive x-axis is what determines a line's slope.

To know more about tan,

https://brainly.com/question/26719838?referrer=searchResults

#SPJ13

We have to calculate the height of the stack of hay bales.

We can start by calculating the volume as the number of bales times the volume of one hay:

Now, we know that this volume will be the area of the base times the height.

The area of the base can be calculated as the product of the length and the width:

We then can calculate the height as the volume divided by the base area:

Answer the height is 16 feet.

Given:

The given numbers are 5,6,7,8,9.

Required:

Find the way so three-digit numbers can be written using digits from the sets 5, 6, 7, 8, 9 without any repeating digits.

Explanation:

Let n is the total number then the way to write m digits number is given by the formula:

So the way to write 3 digits numbers are:

Final Answer:

Option D is the correct answer.

Brianna, this is the solutiuon:

Part 2: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x - 1)² = (x - 1) * (x - 1)

x² - x - x + 1

x² - 2x + 1

Thus, b = -2. The correct answer is A.

Part 3: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x + 25)² = (x + 25) * (x + 25)

x² + 25x + 25x + 625

x² + 50x + 625

Therefore, c = 625. The correct answer is D.

We know that two lines are parallel if they have the same slope. So we first find the slope of the given line. One way to do this is to rewrite the equation in its slope-intercept form, solving for y:

Then, we have:

Now, we have the slope and a point through which the line passes:

Then, we can use the point-slope formula:

The above equation is the equation of the line in its point-slope form. However, we can also rewrite the equation of the line in its standard form by solving for the constant:

Therefore, an equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5 is

Response variable: The response variable is the subject of an experiment.

In this question:

The experiment is about the mathematical reasoning ability of the students whom are members of academic clubs. So, we are focusing on mathematical reasoning ability, which is the response variable.

The answer is option A

given the data

13,9,5,11,6,3,12,10,11,7,3,2,2,2,10,10,12,12,12,8,8

sort data

s= 2, 2, 2, 3, 3, 5, 6, 7, 8, 8, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 13

then we have

2 ---- 3

3 ----- 2

5----- 1

6 ---- 1

7 -----1

8------2

9 ------1

10-----3

11-------2

12------4

13-------1