x:(x+3) = 2:3

work out the value of x

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

x:(x + 3) = 2:3

[tex] \frac{ \\ x}{x + 3} = \frac{2}{3} [/tex]

cross multiply

3x = 2(x + 3)

3x = 2x + 6

subtract (2x) from both sides

3x – 2x = 2x – 2x + 6

x = +6

x = 6


Related Questions

if the radius of a circle is 4.5, what is the area?

Answers

Answer:

63.62 is the area of the circle

Answer:

63.62

Step-by-step explanation:

A= PI x r2 (squared)

 = pi x 4.5(squared)

 = pi x 20.25

  = 63.62 units2


batch of hot chocolate is made with 21 teasoons of cocoa and 7 cups of milk.
How many teaspoons of cocoa are needed for every cup of milk?
On the double number line below, fill in the given values, then use
multiplication or division to find the missing value:
cups of milk

Answers

If you divide 21 by 7 you will get 3 so you need 3 teaspoons to make one batch of cocoa

Answer:

Step-by-step explanation:

Ya

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

The box plot summarizes math text scores. What percent of the scored were between 71 and 96? Please hurry! I'm taking a test!

Answers

Answer:

i think 83 %

Step-by-step explanation:

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.

Answers

Answer:

[tex]A = \sqrt{89}[/tex]

[tex]B = \sqrt{145}[/tex]

Step-by-step explanation:

[tex]1)\ 8^2 + 5^2 = A^2[/tex]

[tex]2)\ A^2 = 64 + 25[/tex]

[tex]3)\ A^2 = 89[/tex]

[tex]4)\ A = \sqrt{89}[/tex]

[tex]1)\ B^2 + 12^2 = 17^2[/tex]

[tex]2)\ B^2 + 144 = 289[/tex]

[tex]3)\ B^2 = 145[/tex]

[tex]B = \sqrt{145}[/tex]

Answer:

a = 9.4

b = 12.0

Step-by-step explanation: For both of these problems, you need to use the Pythagorean Theorum since they are both right triangles, which is represented by the equation a^2+b^2=c^2. In this equation, "c" represents the hypotenuse of the triangle while both "a" and "b" represent the two other sides. In the first triangle, solve the equation 8^2+5^2=c^2 andf in the second triangle, solve the equation 12^2+b^2=17^2 since the hypotenuse is already given.

if t and m are positive integers and 2t+3m=8 what is the value of t​

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The value of m and t is 4- 3m/2 and 8/3 -2t/3.

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

2t+3m=8

For t:

2t= 8-3m

t= (8-3m)/2

t= 8/2 -3m/2

t= 4- 3m/2

For m:

3m= 8-2t

m= (8-2t)/3

m=  8/3 -2t/3

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On a map, the distance from Langhorne to Tannersville measures 2 centimeters. What is the actual distance if the scale of the map shows that 1 centimeter is equal to 30 kilometers?

Answers

Answer:

I believe the answer is 60 kilometers.

Step-by-step explanation:

ASAP PLS PLS!!!!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

base times height

10 times 6

60

Zachary plans to collect $0. 30 from each person that comes to the party to cover the cost of the candy.


How many people will need to come to the party to cover the entire cost of the candy

Answers

In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.

How much candy per person?

We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.

Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.

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PLEASE HELP QUICKLY! IF 2 ANSWERS I WILL VOTE ONE BRAINLIEST

Answers

Answer:

15/3 =5 is the correct answer

Mark the other guy lol lol lol

Henry sees a train with 8 cars. Each car has 5 windows
on the side that Henry sees. Which number sentence
can be used to find how many windows Henry sees
on the train in all?

Answers

Answer:

(8*5) * 2 = 80

Step-by-step explanation:

So first you want to find how many windows are on the side he sees and then you want to multiply that by 2 to get how many are on the train in total because we are assuming that each side has the same amount of windows so your answer is (8*5) * 2 = 80

Answer:40

Step-by-step explanation:

Well 8x5= 40

What is the volume of the rectangular prism?

Answers

Answer:

7/3 x 1 x 3 = 7 yd

Step-by-step explanation:

Multiply all 3 lengths by 1/3 then multiply all of them together since each and every one of those cubes are 1/3.

2nd last question on my exam!! Someone please answer it

Answers

I think it is B...
I did it on finals
It is most likely b !

Write the standard equation of the circle.
Geometry b

Answers

The standard equation of the circle will be;

⇒ (x - 3)² + (y + 5)² = 16

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in figure.

Now,

Here, By the figure;

The radius of the circle = 7 - 3

                                    = 4 units

And, The center of circle = (3, - 5)

We know that;

The standard equation of the circle is,

⇒ (x - h)² + (y - k)² = r²

Where, (h, k) = center and r is radius.

So, We get;

The standard equation of the circle is,

⇒ (x - 3)² + (y - (-5))² = 4²

⇒ (x - 3)² + (y + 5)² = 16

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Deshad runs a river tubing company that serves 300 customers a day during sunny, summer days. He knows that 45% of the customers rent life jackets. Suppose that Deshad calculates the daily proportion p ^ on top of customers who rent life jackets from his sample of 300. We can assume the customers each day represent a random sample

Answers

Here acccording to the question,We are examining the conditions under which the sampling distributions of the sample proportions given.

What is sampling distribution?

Sampling distribution is a statistic that determines the probability of an event based on data from a small group within a large population. Its primary purpose is to establish representative results of small samples of a comparatively larger population. Since the population is too large to analyze, you can select a smaller group and repeatedly sample or analyze them. The gathered data, or statistic, is used to calculate the likely occurrence, or probability, of an event.

Sampling distribution According to the given Scenario

We are examining the conditions under which the sampling distributions of the sample proportions appear uniform, roughly normal, skewed to the left or skewed to the right.

When np10 and n(1p)10, where n is the sample size and p is the sample of proportions, are true, we know that the sampling proportions of the sample distributions will have a normal shape.

Aforementioned that our sample size is 300 people and that p = 0.45, we can use the given data to calculate

Successes anticipated: np= 300(0.45) = 135 10

Failures predicted: n(1p)=300 (10.45)=165 10

Since both of these statements are accurate, sample distribution sampling proportions will have a normal shape.

Because we anticipate each sample to have at least 10 successes and 10 failures, we have a normal sampling distribution.

As a result, the sample distribution has a roughly normal shape.

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What is the SHAPE of the 22nd figure?

Answers

The color of the 15th figure is green.

The shape of the 40th figure star.

The shape of the 22nd figure triangle.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

We have,

The pattern of shapes we get is:

circle - Triangle - Square - Star

The pattern of color we get is:

Purple - Red - Green

Now,

The color of the 15th figure.

= 15 is a multiple of 3

= 5 x 3

So,

Green will be the color of the 15th figure

Now,

The shape of the 40th figure.

= 40 is a multiple of 4

= 10 x 4

So,

Star will be the shape of the 40th figure.

Now,

The shape of the 22nd figure.

= 22 ÷ 4

We get 2 as the remainder.

So,

Triangle will be the shape of the 22nd figure.

Thus,

The 15th figure color is green.

The 40th figure is a star.

The 22nd figure is a triangle.

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Calculate the perimeter of this shape.
10 cm
19 cmi
View One Minute Version
Overview
Penmeters
Type here to search​

Answers

Answer: If it is a rectangle then the perimeter is 58 cm

Step-by-step explanation:

10x2= 20

19x2= 38

38+20= 58

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches. a). Taller than 64 inches b.) shorter than 62 inches c.) between 64 inches and 68 inches d.) between 58 and 68 inches e.) taller than 58 inches

Answers

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

Distribute and then combine the like terms to simplify each expression.

8f - 6 (-5 - 7f)

please help

Answers

Answer: We start by distributing the -6 to the terms inside the parentheses:

8f - 6(-5) - 6(7f)

Then we simplify each term inside the parentheses:

8f + 30 + 42f

Now we combine like terms:

8f + 30 + 42f = 50f + 30

So the simplified expression is 50f + 30

Step-by-step explanation:

College administrators noticed that students who had higher high school GPAs tend to have higher college GPAs. The data in the table show various high school GPAs and college GPAs for a sample of students. A 2-column table with 16 rows. Column 1 is labeled High School G P A with entries 3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5 Column 2 is labeled College G P A with entries 3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8. Which scatterplot represents the student data? A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.25), (3.1, 3.5), (3.1, 4), (3.2, 3.25). A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8), (4, 3.2). A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.5), (3.1, 4), (3.2, 3.25).

Answers

Answer:

Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8)

Step-by-step explanation:

Given the data :

Column 1 High School G P A:

3.25, 3.5, 3.5, 3.25, 2.5, 4, 4, 3.5, 3.25, 3.5, 3.5, 4, 3, 3.5, 2.25, 2.5

Column 2 College G P A :

3.2, 3.0, 2.9, 3.0, 3.0, 3.0, 3.1, 3.1, 3.1, 3.0, 3.0, 3.1, 3.0, 3.1, 2.9, 2.8.

To prepare a scatter plot ; with x - axis plotted against y - axis ;

Each point on the x - axis is paired with a corresponding point on the y - axis ;

With high school GPA on the x axis and College GPA on y :

Values are paired in the form:

(X1, Y1),.. (Xn, Yn)

(3.25, 3.2)

Answer:

if your looking at the one with 4 different graphs the answer is A

Step-by-step explanation:

Find the distance between the following two points: (3,-6) (-1,-8)

Answers

Distance between two points =

(

1

3
)
2
+
(

8


6
)
2

The ratio of the number of blue fish to the number of red fish at a pet shop is 2 to 3. There are 30 blue at the pet shop. How many red fish are at the pet shop?

Please no files!

Answers

theres 12 red fish in the pet shop <33

Randy grows cherries to sell at local stores. All of the cherries he will sell are in the four boxes shown. Randy wants to send an equal number of pounds of cherries to 4 stores. Enter a fraction that shows how many pounds of cherries each store will receive. Enter your answer as a mixed number

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 4 boxes are not given.

However, the general explanation is as follows;

From the question, we understand that Randy wants to send an equal amount to 4 different stores

This implies that, we calculate the average (mean) of the 4 boxes.

This is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

Assume that the number of cherry in the 4 boxes are: 25, 23, 28 and 27

The formula becomes

[tex]Mean = \frac{25 + 23 + 28 + 27}{4}[/tex]

[tex]Mean = \frac{103}{4}[/tex]

This implies that Randy will send 103/4 to each of the 4 stores.

The answer as a mixed number is:

[tex]Mean = 25\frac{3}{4}[/tex]

5.
4.2 cm
4.2 cm
square centimeters

Answers

The total area of triangle in square centimeters is 56.7cm squared .The three angles of the triangle add up to 180 degrees.

what is triangle ?

The term "trigon" is occasionally (though not frequently) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, some of which may be the same.  The three angles of the triangle add up to 180 degrees. With three sides and three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.

here

Area of each triangles is 4.2 x 8.2 or 34.44.

There are two triangles, thus you don't need to divide by two.

In addition, 8.2 is obtained by deducting the top length from the overall length. (13.5-5.3)

rectangle: 22.26 x 5.3

56.7 square meters is the entire area.

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The correct question is

What is the area, in square centimeters, of the triangles are?

a) 5.3 cm

b) 4.2 cm

c) 13.5 cm

Lines m, n, and I are parallel. Line w intersects each line, as shown in the diagram below.

Based on the angle measures in the diagram, what is the value of x?

Answers

Answer:

120

Step-by-step explanation:

vertical angles are congruent :)

How do you find the slope of two points on a graph?

Answers

To find the slope of two points on a graph, use the formula:

[tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]

Substitute the coordinates of the two points into the formula and solve for the slope.

Finding the Slope of Two Points on a Graph

The slope of two points on a graph is a measure of how steep the line connecting the two points is. To find the slope, you can use the slope formula: [tex]Slope =\frac{y2 - y1}{x2 - x1}[/tex]

This formula requires the coordinates of the two points, which can be found on the graph. Once you have the coordinates, you can substitute them into the formula and solve for the slope. This will give you the slope of the line connecting the two points.

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Find the measure of the missing angles.

Answers

Answer:

Hello!

x = 39

y = 90

Hope this helps!

Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

Answers

The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).

For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).

Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).

Since the two lines have the same slope, line f and line f' are parallel.

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Twice the sum of a number and three is subtracted from six times a number

Answers

Answer: 2(x+6)=3(x-3)

Step-by-step explanation:

A 64 acre coconut farm is arranged in an 8 by 8 array. Mika wants to know the average number of coconut palms on each acre of land. The number in each cell tells how many coconut palms grow on that particular acre

Answers

Therefore , the solution of the given problem of median comes out to be

A. 44.3.

Specify median.

The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.

Here,

To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:

=> 48 + 38 + 47 + 48+  43+  34+  64+  54 + 53+  67  = 443/10 =44.3

Hey fiddle fiddle the medians the middle

You add and divide for the mean

The mode is the one you so the most

And the range is the difference  between them

Therefore , the solution of the given problem of median comes out to be

A. 44.3.

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The solution of the given problem of median comes out to be

option (A) 44.3.

What is median?

The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.

Here,

To do the average you add all the numbers then divide by how ever many numbers there are. I remember this through a rhyme:

=> 34 + 51 + 43 + 35 + 52 + 35 + 62 + 38 + 34 + 59  = 443/10 =44.3

Hey fiddle fiddle the medians the middle

You add and divide for the mean

The mode is the one you so the most

And the range is the difference  between them

Therefore , the solution of the given problem of median comes out to be

A. 44.3.

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The complete question is:

A 64‐acre coconut farm is arranged in an 8‐by‐8 array. Mika wants to know the average number of coconut palms on each acre. Each cell in the table represents an acre of land. The number in each cell tells how many coconut palms grow on that particular acre.

45 54 40 34 44 66 32 65 66 33 42 36 33 51 50 35 51 45 66 33 47 43 66 61 46 35 48 67 60 59 52 67 46 32 64 35 55 47 61 59 45 48 53 62 55 58 51 41 48 38 47 48 43 34 64 54 53 67 44 59 58 48 62 45

The numbers in green represent Mika's random sample of 10 acres. What is the average number of coconut palms on the randomly selected acres? Round your answer to the nearest tenth. The average number of coconut palms is

A. 44.3

B. 49.3

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