The snail travels 10 cm in 4 min. How far does a snail travel in 6 min?

Answers

Answer 1

Given.

The distance covered by the snail in 4 minutes is 10 cm.

The speed of snail is,

[tex]\begin{gathered} Spe\text{ed=}\frac{dis\tan ce}{time} \\ =\frac{10}{4}\frac{cm}{\min } \\ =2.5\text{ cm/min} \end{gathered}[/tex]

The distance covered by snail in 6 minute is,

[tex]\begin{gathered} \text{Distance}=\text{speed }\times time \\ =2.5\times6 \\ =15\text{ cm} \end{gathered}[/tex]

Hence, the distance covered by the snail is 15 cm.

Answer 2

Speed :

Speed is defined as the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling.

Hence , speed can be calculated by using the formula,

               Speed = [tex]\frac{Distance-travelled}{Time-taken}[/tex]

Given data :

Distance travelled by the snail = 10 cm = 0.1 m

Time taken by the snail to travel a distance of 10 cm = 4 min = 240 s

Then , speed of the snail = [tex]\frac{10}{4}[/tex] = 2.5 cm/min = 0.0004 m/s

If the time taken by the snail is 6 min = 360 s

Then, the distance travelled by the snail in 6 min

         = speed x time taken

          = 2.5 cm/min  x 6 min

          = 15 cm = 0.15 m.

Therefore, the snail travels a distance of 15 cm in 6 min.

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Related Questions

Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.

Answers

The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80

The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)

As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.

Here

By replacing the supplied value in the previous equation, we obtain -

values of the probabilities for a two-tailed test

p-value = P (alpha/2) +  P (alpha/2)

p-value = 0.40 + 0.40

            =0.8

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) assembly comprises 769 team members. given that tmm operates two shifts a day, and assembly has 353 stations, what is the proportion of team members not assigned to one of the stations?

Answers

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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What is the simplest form of
2√3

Answers

√12

Explanation:

though it may not be a simplification,

2√3

can be shown as

√12

.

2=√4

what is the total amount of 67x88=

Answers

the answer is 5896. . . . . . ... . . . . . ......................

Hello!

When multiplying 67 x 88, the correct answer would be 5896.

Hope this helped!

Solve for x in terms of the other pronumerals

ax+ b/4 = x+c/3

Answers

Answer:

[tex]x=\cfrac{4c-3b}{3a-4}[/tex]

==============================

Given expression

[tex]\cfrac{ax+b}{4}=\cfrac{x+c}{3}[/tex]

Solve it for x in steps below

[tex]\cfrac{ax+b}{4}=\cfrac{x+c}{3}[/tex]                                              Given

[tex]3(ax+b)=4(x+c)[/tex]                                     Cross-multiply

[tex]3ax + 3b=4x+4c[/tex]                                       Distribute

[tex]3ax-4x=4c-3b[/tex]                                       Collect terms with x

[tex]x(3a-4)=4c-3b[/tex]                                       Factor out x

[tex]x=\cfrac{4c-3b}{3a-4}[/tex]                                                   Divide both sides by 3a - 4

Simple Interest QuizIf $3,000 is loaned for 48 months at a 4.5% annual rate, how much is the ending balance?

Answers

Given:

Principal (p) =$3,000

Time (T) = 48 months = 4 years

Interest rate = 4.5%

Required :

Ending balance = ?

The simple interest :

[tex]\begin{gathered} SI\text{ = PRT} \\ =\text{ 3000 }\times\text{ 0.045 }\times\text{ 4} \\ =\text{ \$ 540} \end{gathered}[/tex]

Ending balance :

[tex]\begin{gathered} \text{Ending balance = Principal + SI} \\ =\text{ \$ 3000 + \$ 540} \\ =\text{ \$ 3540} \end{gathered}[/tex]

Ending balance = $ 3540

1.5 x 10 9
8.9 x 10 7

Answers

1.5 x10.9=16.35

8.9x10.7=95.23

Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood? Explain. Click here to view the diagram of Yuri's backyard. Click here to view the table of materials. The area of the patio is yd?, so the cost of concrete is $ The area of the garden is yd?, so the cost of soil is $ The total area of the deck is ft?, so the cost of wood is $1. So, Yuri will spend $ more on concrete than on soil and wood. (Type integers or decimals.) Enter your answer in the edit fields and then click Check Answer. All parts showing

Answers

1) Area of patio = 1/2 base x height

Height = 3.1ft

base = 7 + 10 =17 ft

Area = 1/2 x 3.1 x 17

Area of patio = 26.35 square ft

1 yard = 3 ft

1 square yard = 9 square ft

so the area of the patio in yard is

26.35/9 = 2.927777778 square yard

2) Cost of concrete = $10/square yard poured 1/9 yard deep+ $60 delivery fee

for 2.9277777778 square yard it will cost 1/9($10 x 2.9277777778) + $60 =$

3)

Point A(3, 5) was dilated, and the point after dilation was A'(6, 10). What was the scale factor used?​

Answers

Answer:2 is the scale factor

Step-by-step explanation:

2 is the scale factor. Mark brainliest please if I was correct.

Given the information above, what is the size of the wedge to the nearest whole degree foraqua pencils?options:55°12°61°43°

Answers

Answer:

the size of the wedge for aqua pencils is 43°

Explanation:

Given:

A table showing the pencil collection

To find:

the portion that represents the aqua pencils in degree

The total number of pencils = 23 + 106 + 62 + 47 + 32

The total number of pencils = 270

In degrees:

Total angle in a circle = 360°

Size of the wedge for aqua = number of aqua pencils/total pencils × 360°

[tex]\begin{gathered} Size\text{ of the wedge = }\frac{32}{270}\text{ }\times360° \\ \\ Size\text{ of the wedge = 42.67\degree} \end{gathered}[/tex]

To the nearest degree, the size of the wedge for aqua pencils is 43°

Solve the inequality for x. Show each step of the solution.

12(x+3)>4x-8

Answers

Answer:x>-11/2

search it for a better understanding of the understanding the question

Answer:

x > -11/2

Step-by-step explanation:

Given inequation,

→ 12(x + 3) > 4x - 8

Now the value of x will be,

→ 12(x + 3) > 4x - 8

→ 12x + 36 > 4x - 8

→ 12x - 4x > -8 - 36

→ 8x > -44

→ [ x > -11/2 ]

Hence, value of x is -11/2.

Jimmy thought he had purchased 7folders, but he had only purchased 6.What was his percent error? round to the nearest percent

Answers

We can define the percent error as the difference between the estimated value and the actual value, divided by the actual value.

In this case, the estimated value (what Jimmy thought he had purchased) is 7 and the actual value is 6.

Then, the percent error is:

[tex]e=\frac{E-A}{A}=\frac{7-6}{6}=\frac{1}{6}\cdot100\%=16.666\ldots\%\approx16\%[/tex]

The percent error is 16%.

Angle classification/relationships

Answers

Angles are another way to categorize triangles. Each of the three angles in an acute triangle is acute (less than 90 degrees). One right angle and two acute angles make up a right triangle. Additionally, an obtuse triangle has two acute angles and one obtuse angle (greater than 90 degrees).

What does the triangle's angle relationship mean?

Angles and sides in relation to one another The biggest side and angle in any triangle are in opposition to one another. The smallest side and angle in every triangle are on opposing sides. The middle side and middle angle are always in opposition to one another in triangles.

A congruent triangle ,

if all of two triangles' sides match, then they are said to be congruent.

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Find the equation to the line below.y =[?-x ++ [ ]

Answers

Note that a line whose equation is in the form :

[tex]y=mx+b[/tex]

has a slope of m

and a y-intercept of b

Slope is also equal to rise/run :

[tex]m=\frac{\text{rise}}{\text{run}}[/tex]

where rise is the number of vertical units between two points and run is the number of horizontal units between two points.

Note also that upward and right movement is positive, downward and left movement is negative.

From the figure, the vertical units between two given points is 3 units upward, so this is positive.

The horizontal units between them is 2 units to the right which is also positive.

The slope will be :

[tex]m=\frac{\text{rise}}{\text{run}}=\frac{3}{2}[/tex]

Next is to solve for b (y intercept).

y-intercept is the point where the line intersects the y-axis.

From the graph, the lines intersects at point (0, 2) on the y-axis

Therefore, the value of b is 2

Rewriting the equation, the answer is :

[tex]\begin{gathered} y=mx+b \\ y=\frac{3}{2}x+2 \end{gathered}[/tex]

You are a grant writer for an organization that helps adults complete their high school educations. For the last 5 years, you have applied for and received $45,000.00 in grants. Your boss would like you to try to increase that amount to $60,000.00. How much of an increase does the new amount represent over the previous amount?

Answers

Based on the amount you have received in grants, and the amount the boss wants to increase it to, the increase the new amount represents over the previous amount is $15,000 or 33.3%.

How to find the increase?

Your boss wants to increase the grants to $60,000 from the current amount of $45,000.

This means that the new amount will represent an increase over the previous amount by:
= 60,000 - 45,000

= $15,000

In percentage terms this is:
= Increase over previous amount / Previous amount x 100%

= 15,000 / 45,000 x 100%

= 33.3%

In conclusion, the difference between the grants applied for in the past 5 years and the amount the boss is asking for, gives the increase of $15,000.

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Ms. Wilson invested $30,000 in two accounts, one yielding 8% interest and the
other yielding 9%. If she received a total of $2,590 in interest at the end of the
year, how much did she invest in each account?
The amount invested at 8% was $
The amount invested at 9% was $

Answers

Answer:

The amount invested at 8% was $11,000

The amount invested at 9% was $19,000

Step-by-step explanation:

Let the variable x represent the amount in $ invested at 8% and let y be the amount in $  invested at 9%

Total amount invested:
x + y = 30000   [1]

8% = 8/100 = 0.08

9% = 9/100 = 0.09

Interest at 8% on $x = 0.08x

Interest at 9% on $x = 0.09x

Total Interest :

0.08x + 0.09y = 2590  [2]

Using equations [1] and [2] we can solve for x and y

We have

x + y = 30000   [1]
0.08x + 0.09y = 2590  [2]

Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)

0.08x + 0.08y = 2,400  [3]

Subtract [3] from [2] :

0.08x + 0.09y = 2590  
-
0.08x + 0.08y = 2400  
----------------------------------
       0x + 0.01y = 190

Divide both sides by 0.01
0.01y/0.01 = 190/0.01

y = = 19,000

Use [1] to get value of x

x + y = 30,000

x + 19,000 = 30,000

x = 30,000 - 19,000

x = 11,000

A plant s 6.2cm tall.
The height of the plant increases by 11% each week
Find how tall the plant will be after 2 weeks

Answers

The height of plant will be 7.56cm tall after 2 weeks

How to calculate the height of the plant ?

The original height of the plant is 6.2cm

The height increases by 11% each week

= 11/100

= 0.11

The increase of the plant in a week

= 0.11 × 6.2

= 0.682

The height of the plant after two weeks can be calculated as follows

= 0.682 + 0.682

= 1.364

= 6.2 + 1.364

= 7.56

Hence the height of the plant after 2 weeks is 7.56cm

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The line parallel to y=3x+5 that passes through the point (-8,-4)

Answers

Answer:

y = 3x + 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 8, - 4 ) into the partial equation

- 4 = - 24 + c ⇒ c = - 4 + 24 = 20

y = 3x + 20 ← equation of parallel line

Answer:

Step-by-step explanation: From the given point,

The line is: -8x-4y=0

           viz, 2x+y=0

Help please! Solve this and show your steps: c = 6.00 + 29.99

Answers

35.99

Step-by-step explanation:

you don't a type your question. so if it correct i will be happy to help you

I need help asap and the coordinates are (1,3) (6,5)
I need the equation in point slope using either point I NEED HELP ASAPP

Answers

Answer: the Equation is y-3=0.4(x-1) or y-5=0.4(x-6).

Step-by-step explanation: I hope this helps.

Select the correct answer. sean used cross multiplication to correctly solve a rational equation. he found one valid solution and one extraneous solution. if 1 is the extraneous solution, which equation could he have solved? a. the equation is = because 1 makes a denominator equal zero and is a solution of the equation derived from cross multiplying. b. the equation is = because 1 is a solution of both the original equation and the equation derived from cross multiplying. c. the equation is = is because 1 makes a numerator equal zero and is a solution of the equation derived from cross multiplying. d. the equation is = because 1 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.

Answers

The equation is = because 1 makes a denominator equal zero and is a solution of the equation derived from cross multiplying. A valid solution to a problem that vanished during the process of solving it is referred to as a missing solution.

What is extraneous equation?

An extraneous solution in mathematics is a solution that develops during the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation. A valid solution to a problem that vanished during the process of solving it is referred to as a missing solution.

We have to open the equation by using cross multiplication

10(3x - 3) = 15(x² - 1)

= 30x - 30 = 15x² - 15

we would have to factorize

30(x-1) = 15(x-1)(x+1)

We have to divide by 15(x-1)

2 = x + 1

take the like terms

2 -1 = x

x = 1

Hence the equation that has the extraneous solution is option a because the solution is 1.

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a bag contains 275 marbles. some are red and the rest are black. there are 24 red marbles for every black marble. how many red marbles are in the bag?

Answers

There are 264 red marbles in a bag.

What is Marbles?

A marble is a tiny, sphere-shaped object that is frequently fashioned of agate, glass, clay, steel, or plastic. They come in a variety of sizes, but the most have a diameter of about 13 mm (12 in). These toys can be made into works of art or utilized in a variety of marble-based activities. They can also be used in races or runs. They are frequently collected for their pleasing colors and nostalgic appeal.

Let x = Number of red marbles

y = Number of black marbles.

A bag contains 275 marbles.

So, x + y = 275             ..(1)

There are 24 red marbles for every black marble.

x = 24y       ..(2)

Plug value of x in equation (1).

24y + y = 275

25y = 275

y = 11

Put y = 11 in equation (2),

x = 24(11)

x = 264

Hence, there are 264 red marbles in the bag.

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Find the quotient and remainder using synthetic division.−x2 + x − 7x + 1quotient remainder

Answers

Given:

[tex]\begin{gathered} -x^2+x-7 \\ x+1 \end{gathered}[/tex]

Required:

To find the quotient and remainder using synthetic division.

Explanation:

Consider

[tex]\begin{gathered} x+1=0 \\ x=-1 \end{gathered}[/tex][tex]\begin{gathered} -1|-1\text{ }+1\text{ }-7 \\ \text{ }|\text{ }+1\text{ }-2 \\ ------------------- \\ \text{ }-1\text{ }+2\text{ }-9 \\ \end{gathered}[/tex][tex]-x+2-\frac{9}{x+1}[/tex]

Here the quotient is

[tex]-x+2[/tex]

And the remainder is

[tex]-9[/tex]

Final Answer:

Quotient :

[tex]-x+2[/tex]

Remainder : -9.

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SHIPPING The OOCL Shenzhen, one of the world's largest
container ships, carries 8063 TEUS (1280-cubic-feet containers).
Workers can unload a ship at a rate of 1 TEU every minute. The
equation y = 8063 - 60x represents the number of TEUs on the
ship y after x hours of the workers unloading the containers from
the Shenzhen.
a. Find the x- and y-intercepts and interpret their meaning in the
context of the situation.
Graph the equation by using the intercepts

Answers

Answer:

23

Step-by-step explanation:

Please help me dont know the answer

Answers

Answer:

First answer is obtuse

The second answer is scalene

Step-by-step explanation:

Obtuse is when an angle is over 90

Scalene since all the angles are different, all the side lengths are different.

Writing the Equation of a Line in Different Forms
Write the equation of the line MN, which is formed by the
points M(-3, 5) and N(2, 0).
Step 1: Identify the slope. m = -1v
Step 2: Write the equation in point-slope form:
y-0= -1(x - 2)
y0 = -1(x + 2)
y-5=-1(x - 3)
y-5=-1(x + 3)

Answers

   y - 5 = -1 ( x + 3 )  is Equation of a Lin in slope intercept form,.

What is in slope-intercept form?

Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.

Slope between the points M(-3, 5) and N(2, 0).

       m = 0 - 5/2 + 3

       m = -5/5  = -1

the equation of   point-slope form

    y - y₁ = m ( x - x₁ )

   y - 5 = -1 ( x - ( -3 ))

   y - 5 = -1 ( x + 3 )

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what is the absolute value for this equation? : |-x| = 3

Answers

Answer:

The answer is |-3|

Step-by-step explanation:

The absolute value of a negative number will always be the same number but positive. Like the absolute value of |-4| will be 4.

twenty-five percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. (round your answers to three decimal places.) among 15 randomly selected cars, what is the probability that at most 5 fail the inspection?

Answers

The required probability is 0.852

Here, n=15

P(X ≤5) = P(X = 1)+...+ P(X = 5)

            = [(¹⁵₀)(0.25)⁰ (1-025)¹⁵⁻⁰ +...(¹⁵₅)(0.25)⁵ (1-0.25)¹⁵⁻⁵]

            = 0.01336+...+0.16515

            = 0.85163

            = 0.852  (Round to 3 decimal place)

Hence, the required probability is 0.852

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Use the Rational Zeros Theorem to list all possible zeros of the function below.
f(x) = 11x³ 2x² + x + 10.
-
[Enter all possible zeros predicted by the Rational Zero Theorem individually and separated by commas
(1,-1,-1/2,1/2,etc.) Note: You do not need to factor the polynomial.]

Answers

The all possible zeros predicted by the Rational Zero Theorem individually and separated by commas are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

P(x) = 11x³ + 2x² + x + 10

The factors of the constant term 10 is  ±1, ±2, ±5, ±10 (=p)

The factors of leading coefficient are ±1, ±11 (= q)

The possible rational zeros are p/q : ±1/1, ±1/11, ±2/1, ±2/11, ±5/1, ±5/11, ±10/1, ±10/11.

After simplification the possible roots are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

Therefore, ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11. are the all possible zeros predicted by the Rational Zero Theorem individually and separated by commas.

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write the slope intercept form:through: (4, -5), perp. to x= -4

Answers

The line should be perpendicular to x = -4

x= -4 is a vertical line crossing the x axis at x= -4

The slope is undefined in x =-4

For an equation in slope intercept form, the general form is ;

y= mx + b where m is the slope and b is the y-intercept

So for any y value, x is always -4

Thus the slope for line x = -4 is not defined

A line perpendicular to x = -4 will thus be a horizontal line with slope 0

For the equation of this line

0= y--5/x-4

0 = y+5 /x-4

0{x-4} = y +5

0 = y+5

y= - 5

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