Estimate the square root to the nearest (a) integer and (b) tenth. Square root of 685

Answers

Answer 1
a) 26
b) 26.2

Hope this helps!
Answer 2

Final answer:

The square root of 685 lies between 26 and 27. To the nearest integer, the estimate is 26, and to the nearest tenth, the estimate is 26.2, given that it is roughly 9/53 of the way from 26 to 27.

Explanation:

To estimate the square root of 685 to the nearest integer and tenth, we have to determine which two perfect squares it lies between. The perfect square closer to 685 without going over is 676 (√676 is 26), and the next perfect square is 729 (√729 is 27). Thus, the square root of 685 lies between 26 and 27.

To estimate to the nearest integer, we would round √685 to 26, as it's closer to 676. For the nearest tenth, we need to see how much 685 exceeds 676. It exceeds by 9, and since 729-676 is 53, 685 is roughly 9/53 of the way from 26 to 27. So, a quick estimation for √685 to the nearest tenth could be 26 + (9/53)*1 which is approximately 26.2. Therefore, the estimated value of the surd √685 to the nearest tenth would be 26.2.


Related Questions

How do you solve problems like this. Rhonda earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her. How much does Rhonda owe her sister?

Answers

Answer:

64.93

Step-by-step explanation:

324.65(0.2) = 64.93

You simply want to find 20% of 324.65. To do this, you just need to multiply.

Circletown's limits form a perfectly circular shape. It has a population of
20,000and a population density of 480 people per square kilometer. What is the radius of circle town

Answers

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

[tex]A = \dfrac{20000}{480}[/tex]

[tex]A = 41.667\ km^2[/tex]

Radius of the circle town

[tex]\pi r^2 = 41.667[/tex]

[tex]r = 3.64\ km[/tex]

Hence, the radius of circle town is equal to 3.64 Km.

Answer:

3.64

Step-by-step explanation:

To show that 4 points are vertices of a square which of the following must be shown

Answers

each side is 90 degrees

Lucy is a dress maker. She sees 4/7 of a dress in 3/4 hour. How many dresses will Lucy sew in 1 hour

Answers

Answer:

for this we'll have to get 4/3

Multiply 3 from 4 which will give us 4/7 x 4/3. That should give us 1 hour: 16/ 21 dresses

hope this helps lmk :)


PLEASE HELP URGENT!!!!!!!!!
Use the net to compute the surface area of the three-dimensional figure.


A) 56 units2

B) 62 units2

C) 68 units2

D) 74 units2

Answers

62 units is the answers

Step-by-step explanation:

The correct answer is C) 68 units². The net to compute the surface area of the three-dimensional figure is C) 68 units².

To compute the surface area of a three-dimensional figure, one must consider all the faces that make up the shape. The net of a three-dimensional figure provides a two-dimensional representation of all these faces. By calculating the area of each face and summing them up, we can find the total surface area.

Let's assume the net provided shows a figure composed of rectangles and triangles. We will calculate the area of each face as follows:

1. For rectangles, the area is given by the formula A = length × width.

2. For triangles, the area is given by the formula A = 1/2  × base × height.

Let's denote the lengths of the sides of the rectangles as l and w, and the base and height of the triangles as b and h, respectively.

Now, let's calculate the area of each face:

- Rectangle 1: A1 = l ×  w

- Rectangle 2: A2 = l ×  w (assuming it has the same dimensions as Rectangle 1)

- Triangle 1: A3 = 1/2 × b × h

- Triangle 2: A4 = 1/2 ×  b ×  h (assuming it has the same dimensions as Triangle 1)

The total surface area (SA) is the sum of the areas of all faces:

SA = A1 + A2 + A3 + A4

SA = (l × w) + (l ×  w) + (1/2 × b ×  h) + (1/2×  b ×  h)

SA = 2lw + bh

SA= 2*5*3+19*2

SA=68

After performing these calculations with the given measurements from the net, we would find that the total surface area is 68 units².

Therefore, the correct answer is C) 68 units²."

someone help me please

Answers

The answer is X = 16

What to multiply 2/3 by

Answers

You will do 60/2 to = 30 because the ratio of peaches to cherries is 2:3 and they need to have a unknown number of peaches lets say thats “x” therefore 60/2=x ,x=30 cups of peaches

The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Answers

Answer:

A = 7,241.2454026112  square mm.

or exact : A = 2,304.96‬*π  sq mm

Step-by-step explanation:

Cylinder formula:   A = π* r^2 +  2 *π * r* h  +  π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 +  2 *π * r* h  +  π*r^2

A = 2* π* (19.6)^2  + 2π (19.6)*(39.2)  

A = 2,413.748467537 +  4,827.496935

A = 7,241.2454026112  square mm.

or

A =  2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π  sq mm

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

The cylinder's diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Answer :-

The surface area of the cylinder is 7238 mm².

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{19.6 \: mm}}\put(9,17.5){\sf{39.2 \: mm}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the diameter of the cylinder is 39.2 mm. Thus, the radius of the cylinder is 19.6 mm. The height of the cylinder is 39.2 mm. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(19.6 \: mm)^2 + (2)(3.14)(19.6 \: mm)(39.2\:mm) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(384.16 \: mm^2) + (2)(3.14)(768.32\:mm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(1206.2624 \: mm^2) + (2)(2412.5248 \: mm^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2412.5248 \: mm^2 + 4825.0496 \: mm^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 7238 \: mm^2 \: (nearest\:tenth)}[/tex]

Therefore :-

The surface area of the cylinder is 7238 mm².

[tex]\\[/tex]

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A school picnic your teacher asks you to Market food trip every 10 yards Sullivan students can play football with the teacher accidentally gave you a meter stick instead of yardstick how far apart a meter should you mark the line if you want the one that has to be in the right places

Answers

1 yard = 0.9144 meters

1 yard * 10 = 0.9144 meters * 10

10 yards = 9.144 meters

9.144 meters

1. Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type of fish did she buy?

Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?

A. x + 7y = 320
y = 7x

B. x + y = 7
y = 320x

C. x + y = 320
y = 7x

D. x−y=320
y = 7x

2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

How many of each type of fish did she buy?

A. 40 angelfish, 320 goldfish

B. 160 angelfish, 200 goldfish

C. 20 angelfish, 160 goldfish

D. 320 angelfish, 40 goldfish

3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A. x + y = 70
y = 2x – 425

B. x + y = 425
y = 2x – 70

C. x – y = 425
y = 2x – 70

D. x + y = 425
y = 2x + 70

4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.

What were their scores?

A. Kathryn: 260, Michael: 165

B. Kathryn: 150, Michael: 275

C. Kathryn: 275, Michael: 150

D. Kathryn: 165, Michael: 260

5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.

How many nickels are there?

A. 12

B. 18

C. 49

D. 55

Answers

Answer:

D

Step-by-step explanation:

If im wrong, please correct me in the comments.

Answer:

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.  

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting  in equation (2) we will get, Let us divide both sides of our equation by .

An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Final answer:

The two angles are 29 degrees and 61 degrees. The steps involve setting up and solving a simple equation based on the definition of complementary angles.

Explanation:

To solve this question we first need to know that complementary angles add up to 90 degrees. Let's assume the measure of one angle is X. Since the other angle is 32 degrees more than the first, we represent it as X + 32.

Following the principle of complementary angles, we can set up an equation: X + (X + 32) = 90, simplifying gives 2X + 32 = 90.

Subtracting 32 from both sides we get: 2X = 58. Finally, if we divide each side by 2 we get X = 29 degrees. Therefore, one angle measures 29 degrees and the other, which is 32 degrees more, measures 61 degrees.

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Sean is making accessories for the soccer team she uses 671.16 in at work on headbands for 39 players and three coaches she also uses 336.57 in the fabric on wristbands just for the players how much fabric is used on the headband and wristband for each player

Answers

Answer:

Headband: 15.98 in.

Wristband: 8.63 in.

Step-by-step explanation:

In this problem, we call:

h = the amount of fabric used for each headband

w = the amount of fabric used for each wristband

We are told that:

Sean uses 671.16 in at on headbands for 39 players and three coaches, so the total number of headbands made is 42

Therefore, we can write

[tex]671.16 = 42 h[/tex]

And solving for h, we find

[tex]h=\frac{671.16}{42}=15.98 in.[/tex]

Then we also know that Sean uses 336.57 in the fabric on wristbands just for the players, so he produced 39 wristbands; so we can write:

[tex]336.57 = 39w[/tex]

And solving for w,

[tex]w=\frac{336.57}{39}=8.63 in.[/tex]

A solution has which of the following properties?
a) The average diameter of its solute particles usually is less than 1 nm.

b) Gravity separates its parts.

c) A filter can remove the solute.

d) The top layer is different in composition than the bottom layer.

Answers

Answer:

A

Step-by-step explanation:

The rest are incorrect

Final answer:

A solution is a homogeneous mixture composed of a solute dissolved in a solvent. It can be separated by passing it through a filter.

Explanation:

A solution is a homogeneous mixture composed of a solute dissolved in a solvent. From the given options, property (c) is most characteristic of a solution. A solution can be separated by passing it through a filter, which removes the solute particles, resulting in a purified solvent. Gravity does not separate the parts of a solution, and the average diameter of solute particles can vary depending on the nature of the solute. Additionally, the composition of a solution is uniform throughout, so there is no distinction between the top and bottom layers.

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Please find the value of x

Answers

Answer:

x = 27°

Step-by-step explanation:

You know that both sections together add up to 180°, so you want to set up an equation:

2x + 99 + x = 180

3x + 99 = 180

3x = 81

x = 27°

After falling 23°F the temperature is now 51°F what was the starting temperature

Answers

Answer:74 degrees

Step-by-step explanation:

You would have to add the starting point to the current temperature.(51+23=74)

PLEASE HELP TRIG 20 points!! I am standing on a 50 foot cliff in Laguna Beach California looking at my two dogs sitting on the beach below. If my line of sight is 6 feet above the ground in the angles of depression or 51 and 37 how far apart are the dogs

Answers

Answer:

28.97 feet

Step-by-step explanation:

Please refer to the attached image for explanations

Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that apply.
To begin converting the equation to standard form, subtract 36 from both sides.
To complete the square for the x terms, add 4 to both sides.
The center of the circle is at (-2, 3).
The center of the circle is at (4.-6).
The radius of the circle is 6 units.
The radius of the circle is 49 units.

The answer is B and C

Answers

Answer: b & c

I got the answer right on my quiz

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

To convert the equation to standard form, we need to complete the square for both the x and y terms.

x² + y² + 4x - 6y - 36 = 0

x² + 4x + y² - 6y = 36

(x² + 4x + 4) + (y² - 6y + 9) = 49

(x + 2)² + (y - 3)² = 7²

So the center of the circle is at (-2, 3) and the radius of the circle is 7 units.

Therefore, the following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

And,

The statement "The center of the circle is at (4.-6)" is false, and the statement "The radius of the circle is 49 units" is also false.

Thus,

The following statements are true:

- To begin converting the equation to standard form, subtract 36 from both sides.

- To complete the square for the x terms, add 4 to both sides.

- The center of the circle is at (-2, 3).

- The radius of the circle is 7 units.

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If f(x) and it's inverse function, f-1(x), are both plotted on the same coordinate plane, what is there correct point of intersection? (0,-2) (1,-1) (2,0) (3,3)

Answers

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A fucntion f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse fucntion is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

i.e. (3,3)

The number of inches of rain,y,after x minutes of rainfall during a storm can be modeled by the equation y=0.003x How many inches of rain will have fallen after 2 minutes

Answers

Answer:

Therefore 0.006 inches of rain will have fallen after 2 minutes.

Step-by-step explanation:

Given that,

y = 0.003x

where y is the number of inches of rain after x minutes.

To find the number of inches of rain after 2 minutes, we plug x = 2 minutes in above model equation.

∴ y= 0.003×2

     =0.006

Therefore 0.006 inches of rain will have fallen after 2 minutes.

After 2 minutes, 0.006 inches of rain will have fallen based on the equation y = 0.003x. This calculation involves substituting x with 2 and multiplying by 0.003.

To determine how many inches of rain will fall after 2 minutes using the given equation y=0.003x, we substitute x with 2.

Start with the equation: y = 0.003xSubstitute x with 2: y = 0.003 × 2Calculate the value: y = 0.006

So, the number of inches of rain that will have fallen after 2 minutes is 0.006 inches.

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of =1000 registered voters and found that 520 would vote for the Republican candidate. Let represent the proportion of registered voters in the state who would vote for the Republican candidate.

Answers

Answer:

52% will vote for republican candidate

Step-by-step explanation:

If there are 1000 registered voters and 520 of them will vote for Republican candidate

Then the proportion of this voters that will vote for republican candidate can be give as

(520/1000)*100% = 52%

What is the value of r?
4r + 19
What is the length of segment EF?
units
9r-6
18r+ 3

Answers

Answer:

Since opposite sides of parallelogram are equal therefore

9r-6=8r+3

r=9

EF=4r+19{opposite sides of parallelogram are equal}

=4×9+19

36+19

=55

Here is you answer.

Step-by-step explanation:

The value of r is 9 units and length of segment EF is 55 units.

What is Parallelogram?

a parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

We know that opposite sides are equal

CF=DE

9r-6=8r+3

r=9

Now let us find the length of segment EF

EF=4r+19

=4(9)+19

=36+19

=55 units

Hence, the value of r is 9 units and length of segment EF is 55 units.

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Can you guys answer this question ASAP, thanks will give brainliest

Answers

Answer:

An apple costs $2.25. A mango costs $1.25.

Step-by-step explanation:

Let a = price of 1 apple.

Let m = price of 1 mango.

Cameron:

4 apples + 7 mangoes ----> total $17.75

4a + 7m = 17.75

Gavin:

2 apples + 5 mangoes ----> total $10.75

2a + 5m = 10.75

We have a system of 2 equations in 2 unknowns.

4a + 7m = 17.75

2a + 5m = 10.75

We can use the elimination method to eliminate the variable a. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.

           4a + 7m = 17.75

(+)       -4a - 10m = -21.5

---------------------------------

                    -3m = -3.75

Divide both sides by -3.

m = 1.25

A mango costs $1.25.

Now we use the first equation and substitute 1.25 for m and solve for a.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

An apple costs $2.25.

Answer: An apple costs $2.25. A mango costs $1.25.

Answer:

2.25 ; 1.25

Step-by-step explanation:

4A + 7M = 17.75

2A + 5M = 10.75

2A = 10.75 - 5M

4A = 21.5 - 10M

21.5 - 10M + 7M = 17.75

3.75 = 3M

M = 1.25

4A = 21.5 - 10(1.25)

4A = 9

A = 2.25

What is 20% of 45?
A.
7
B.
12
C.
9
D.
13

Answers

Answer:

C. 9

Step-by-step explanation:

Mulitply .20 by 45

Answer:

C. 9

Step-by-step explanation:

20%- 0.2

multiply 0.2 and 45

Your answer is 9

Lindsey surveyed a random sample of students in 7th grade at her school to determine how students get to school each day. The results of the survey are shown below. 8 students walk or ride a bike 15 students ride in a car 25 students take the bus Based on the results of the survey, how many of the 720 students in 7th grade do NOT ride in a car to school?

Answers

495 students in 7th grade do not ride a car to school

Step-by-step explanation:

Step 1: Find the percentage of number of students in 7th grade who ride in a car to school in the sample.

Number of students walking or riding a bike = 8

Number of students who ride a car = 15

Number of students who take the bus = 25

Total students in the sample = 48

⇒ Percentage of students who rides a car in the sample = 15/48 × 100 = 31.25%

Step 2: Find the equivalent number of students who ride a car in the total number of students.

Total number of students = 720

Number of students who ride a car = 31.25/100 × 720

                                                           = 225

Step 3: Find the number of students who do not ride a car to school.

Number of students who do not ride a car to school = 720 - 225 = 495

Answer:

b

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 19.9 cm and a base with a radius of 9.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

1920.5

Step-by-step explanation:

Final answer:

To find the volume of a cone with specific dimensions, use the formula V = 1/3 π r² h. Substitute the given values for radius and height, then calculate the volume rounded to the nearest tenth.

Explanation:

The volume of a right circular cone can be found using the formula V = 1/3 × π × r² × h, where r is the radius and h is the height of the cone.

Plugging in the values (r = 9.6 cm, h = 19.9 cm) gives V = 1/3 × 3.142 × 9.62 × 19.9 = 200.5 cm³

In the diagram, line p is parallel to side BC.
Triangle A B C. Angle A is 2, angle B is 57 degrees, and angle C is 49 degrees. A line p is parallel to side B C at point A to form 3 angles. Angle 2 is angle A, and angle 1 is the exterior angle.
What is the sum of the measures of ∠1 and ∠2?
What is the sum of the measures of Angle1 and Angle2?


mAngle1 + mAngle2 = °

Answers

Answer:

the answer is 131

Step-by-step explanation:

Answer:

131 is the answer

(i took the test btw)

Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to clean the two rooms ?

Answers

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

If log2 5 = k, determine an expression for log32 5 in terms of k.

Answers

Answer:

[tex]log_3_2(5)=\frac{1}{5} k[/tex]

Step-by-step explanation:

Let's start by using change of base property:

[tex]log_b(x)=\frac{log_a(x)}{log_a(b)}[/tex]

So, for [tex]log_2(5)[/tex]

[tex]log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)[/tex]

Now, using change of base for [tex]log_3_2(5)[/tex]

[tex]log_3_2(5)=\frac{log(5)}{log(32)}[/tex]

You can express [tex]32[/tex] as:

[tex]2^5[/tex]

Using reduction of power property:

[tex]log_z(x^y)=ylog_z(x)[/tex]

[tex]log(32)=log(2^5)=5log(2)[/tex]

Therefore:

[tex]log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)[/tex]

As you can see the only difference between (1) and (2) is the coefficient [tex]\frac{1}{5}[/tex] :

So:

[tex]\frac{log(5)}{log(2)} =k\\[/tex]

[tex]log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k[/tex]

Wich is equivalent to √10 3/4x

Answers

Answer:

8 (square root) 10^3x

Step-by-step explanation:

mark me as brainliest pls

§ALEX§

There are 30 blue cubes in the box.
What is the total number of cubes in the box

Answers

Answer:

The answers is in the problem 30 cubes

The total number of cubes are there in the box will be 75. And the table is completed below.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Then the value of x is given as,

x + x + 0.4 = 1

2x = 0.6

x = 0.3

The table is given below.

Color                       Blue              Red            Yellow

Probability               0.4                0.3                0.3

If the number of blue cubes is 30. Then the total number of cubes is given as,

Total cubes = 30 / 0.4 = 75

The total number of cubes are there in the box will be 75.

More about the probability link is given below.

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