how many liters of 10% salt water do you need to add to 5 liters of 25% salt to make 15% salt?

The  increase in area of the circle  when the radius is increased by 2 is 13.8 in.

Area of a circle  can be described as the region that is been taken by the circle.

The area of the circle can be expressed as A=πr^2

We were told that the radius of the circle is been given as 0.10 in.

Then we can calculate the are of the circle by input the given radius into the formula above as:

A=πr^2

r= radius of the circle

A= area of the circle

A=3.14 (0.10)^2 =0.0314 in.

Then we were told that the radius is increased by 2 in.

Then the area of the circle will now be A=3.14* (2.10)^2 =13.85 in.

Then the the increase in area can be calculated as : (13.85 in. - 0.0314 in.) = 13.8 in.

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If a gift wrapping store has 8shapes of boxes, 14types of wrapping paper, and 12 different bows. The number of different options that are available at this store is 1344.

Using this formula to determine the number of different options

Number of different options available = Number of shapes of boxes × Number of wrapping paper × Number of different bowl

Let plug in the formula

Number of different options available = 8 × 14 × 12

Number of different options available = 1,344

Therefore we can conclude that 1,344 different options are available.

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ANSWER:

24.63%

STEP-BY-STEP EXPLANATION:

The first thing is to mention that it is a profit because it was bought at a lower amount than it was sold, therefore

We take 100% as the lowest value, and thus we calculate the profit percentage

Then the difference between both percentages is the profit percentage

We need to find the product of :

So, the result as following:

So, the answer is the option 4. 8y3 + 6y2 − 29y + 15​

Given the scale reading:

Each weight weighs 0.2 kilograms

If the class put 16 weights on the scale

Then the scale reading will be

Hence the scale reading will be 3.2kg

A'(1,1)

B' (6,5)

C' (6,1)

Explanation

Step 1

Let

A(1,-1)

B(5,-6)

C(1,-6)

Step 2

find the image (A'B'C')

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Hence

so, the coordinates of the image are

A'(1,1)

B' (6,5)

C' (6,1)

I hope this helps you

Explanation

To find the cutoff amount of annual speeding ticket revenue that separates the highest five percent of revenue-generating officers from the other ninety-five percent.

We will need to find

Therefore; using a z score calculator, this gives;

We can then find the cutoff amount z using the formula below;

Since

Therefore, we will have

Answer: 395410

If y = x + 2 and y = -2x + 8, what do you know about x + 2 and -2x + 8?​

we have

y=x+2

y=-2x+8

Solve the system of equations

equate both equations

x+2=-2x+8

x+2x=8-2

3x=6

x=2

Find the value of y

y=(2)+2

y=4

the solution is (2,4)

that means

(2,4) is a common point , that satisfy both equations

Parallel lines are lines that have the same direction and there is always the same distance between them

Skew lines are lines that are not on the same plane (they are not coplanar) and also they do not intersect.

Intersecting lines are lines that cross at a point, they can be on the same plane or on different planes.

Let's analyze the parts of this problem.

DE and AB.

These two lines are shown in red and blue in the following diagram:

These are not parallel lines because one line is vertical and the other line is horizontal. They are also not intersecting lines because they do not cross at any point. Lines DE and AB are skew lines because they do not intersect and they are on different planes.

--> DE and AB --> skew

CB and

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (-5.3, 1). The finishing point will be at(1, -5.3). Quadranto Quadrant P Quadrant Quadrants Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points) Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are d. (4 points)​

Part A

we have

starting point of the race is (-5.3, 1)

the x-coordinate is negative and the y coordinate is ;positive

that means-------> is located on quadrant Q

finishing point is (5,3, 1)

x-coordinate is postive and y coordinate is positive

that means -----> is located on Quadrant P

Answer:

Step-by-step explanation:

part A

Question: Three ships, A, B, and C, are anchored in the Atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 miles, and from C to A is 11.164 miles. Find the angle measurements of the triangle formed by the three ships.

Solution:

Note: In finding the angles of a triangle given its three sides, we will use the Cosine Law.

In finding angle C, we use the formula given above.

Note: Side a is the side opposite Angle A, side b is the side opposite Angle B, and side c is the side opposite Angle C.

Let's find the next angle.

Note: We can still use the cosine law in finding Angle A. But another solution is subtracting the Angles A and B from 180 degrees. The measure of the internal angle of a triangle is always 180 degrees no matter what type of triangle it is.

ANSWER:

A. m∠A=88.28267; m∠B=17.22942; m∠C=74.4879

You have a function f(x). To identify the increasing interval and decreasing interval of f(x), you consider that an increasing interval is determined by the values of x in which the value of f(x) increases. For the decreasing interval you focus on the values of x in which the values of f(x) decreases.

You can notice in the given graph:

The increasing interval is (-8 , -4) U (3 , 6)

The decreasing interval is (-4 , -2)

The constant interval is (-2 , 3)

The domain of the function is (-8 , 6)

The previous interval is given by the available values of x

The range of the function is (-4 , 8)

The previos interval is given by the values of f(x) for the values of x in the domain.

The following image is a sketch of the graph with the respective intervals.

Answer:

Explanation:

The point-slope form of the equation of a line is generally given as;

where m = the slope of the line

y1 = y-coordinate of the one point

x1 = x-coordinate of the one point

Given the slope of the line as m = -1 and the point (-2, 3) where x1 = -2 and y1 = 3, let's go ahead and substitute these given values into the point-slope formula to obtain the required equation as seen below;

Answer:

1/7 or 0.143

Step-by-step explanation:

i hope this helps

Answer

The common ratio and the ratio of the perimeters of the two triangles are exactly the same (2/3).

Explanation

The common ratio is obtained by expressing corresponding sides as a fraction of each other.

The common ratio for this triangles = (8/12) = (6/9) = (12/18) = (2/3)

Perimeter is expressed as the sum of all the exterior dimensions of a figure.

For the first figure, Perimeter = 8 + 6 + 12 = 26 inches

For the second figure, Perimeter = 12 + 9 + 18 = 39 inches

Ratio of perimeters = (26/39) = (2/3)

Hope this Helps!!!

To get an unitless ratio, both of our quantities have to be in the same units. Let's convert that hour into minutes:

Thereby, our ratio would be:

To represent the yearly rainfall in a graph, eric should use the Bar Graph

which is commonly used worldwide

Bar Graph:

The graphic representation of data in the form of vertical or horizontal bars or rectangular strips having uniform width is called bar graphs.

A bar graph is used to give the comparison between two or more groups. It comprises of two or more parallel vertical (or horizontal) rectangles.

With bar graphs, we can compare data sets from different groups. The graph depicts groups on one axis and a discrete value on the other. The main purpose is to display the relationship between the two axes.

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ANSWER

$12.75

EXPLANATION

The store is selling the perfumes at 15% off the original price, so if a bottle of perfume costs $30, then they are selling it at,

But you also have a coupon for 50% off, so you get to buy the perfume at half that price,

Hence, the final price of the perfume is $12.75.

We can match as follows:

1. divisor ----> d. the number of equal parts a number is being divided into

2. decimal fraction ----> e. a fraction in which the denominator is 10 or a power of 10

3. algorithm ----> c. a set of rules to be followed to solve a problem

4. fraction ----> g. a number that expresses the portion

5. quotient ----> a. the result of dividing two numbers

6. reminder ----> f. the amount left over after Division

Answer:

100 ounces of 12% solution and 60 ounces of the 20% solution.

Step-by-step explanation:

Let x ounces be the amount of 12% solution, then there will be 160-x ounces of the 20% solution.

So, we have the equation:

0.12x + 0.20(160 - x) = 0.15* 160

0.12x - 0.20x + 32 = 24

-0.08x = -8

x = 100.

So, it is 100 ounces of 12% solution and 60 ounces of the 20% solution.

Solution:

Since the confidence interval width is inversely proportional to n , the answer is the smallest n.

CORRECT OPTION: 36

In order to find f(2) we just have to replace x by 2 in its equation:

f(x) = 3x - 1

↓

f(2) = 3 · 2 - 1

f(2) = 6 - 1

f(2) = 5

Since g(x) = f(2) is

g(x) = 5

using the equation of g, we have that

2x - 3 = 5

In order to find x we just solve the previous equation

2x - 3 = 5

↓ adding 3 both sides of the equation

2x - 3 + 3 = 5 + 3

2x = 8

↓ dividing by 2 both sides of the equation

2x/2 = 8/2

x = 4

Answer- D: x = 4

This is a problem of binomial probability. We have two possible outcomes:

• the article selected is an editorial,

• the article selected is not an editorial.

The probability of success (select an article that is an editorial) is:

Because we have 12 total articles submitted, and 5 of them were editorials.

To calculate the probability that selecting 5 random articles, getting as a result that exactly 3 of the chosen articles are editorials, we use the binomial probability formula:

Where:

• n = the number of trials = the number of articles selected randomly = 5,

• x = the number of success = the number of editorials that we expect = 3,

• p = the probability of getting an editorial = 5/12,

• C(n,x) = n! / (x! (n-x)!).

Replacing the data in the formula above, we get:

Answer

Rounded to four decimal places, the probability that exactly 3 of the chosen articles are editorials is 0.2462.

Given the following trinomial:

To factor the trinomial, we need two numbers the product of them = 42

And the sum of them = -13

Two of the numbers of factors of 42 = -6, and -7

So, the factor of the trinomial will be as follows:

So, the answer will be option B. x - 7

Assuming you want the measure of the arc (in red) shown:

The circumference is divided into 10 equal parts. The red color arc is 1 and a half part.

The circumference is 360 degree and each part is 360/10 = 36 degrees

Thus, 1 and a half part will be:

Measure of Arc (in red) is:

54 degrees

we are asked to determine which ratios are equivalent. For ratios to be equivalent the quotient of the ratios must be the same. For the ratios:

If we take 2/4 and divide the numerator and denominator by 2 we get:

Since we got the same fraction that means that the ratios are equivalent.

to write the expression as a product between two factors you must identify the common factor between all the terms in tis case the common factow will be 2

Length of the dimensions of the finished stock shown are as follow:

A = 13/4 inches , B = 3/4 inches , C =5/2 inches , D = 3/16 inches.

As given in the question,

Mechanist must follow part drawing with scale 1 to 16.

Dimensions of the finished stock shown in the figure

A represents the length .

B represents the height

C represents the length

D represents the height

Length of A is

= 3 1/4 inches

= 13 /4 inches

Height of B is

=3/4 inches

Length of C is

= 2 1/2 inches

= 5/2 inches

Height of D is

= 3/16 inches

Therefore, length of the dimensions of the finished stock shown are as follow: A = 13/4 inches ,B = 3/4 inches ,C =5/2 inches , D = 3/16 inches.

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The surface area of a pyramid is given as:

where p is the perimeter of the base, l is the slant height and B is the area of the base.

In this case the slant height is 4 in.

Now, since the base is a square which sides that has length 5 in. then the perimeter is:

The area of the base is the length of the side squared, then we have:

Once we know the values we plug them in the formula, then we have:

Therefore the surface area is 65 squared inches.

To find the number of page she read per minute

First let's chenge the 8 hours to minute

8 hours = 8 x 60 = 480 min

Since she read 600 pages

Number of pages read per min = 600/ 480

=1.25 pages