If a stone is thrown and travels at a steady speed and covers x metres in 0.2
seconds, what is its speed in metres per seconds and kilometres per hour?

Answers

Answer 1

Answer:

speed in meters per seconds = 5x

speed in kilometers per hour = 18

Step-by-step explanation:

The speed is the distance over the time

Given the speed of the stone x meters in 0.2 seconds

So, speed = [tex]\frac{x}{0.2}[/tex] = [tex]\frac{5*x}{5*0.2} = \frac{5x}{1}[/tex] = 5x meters per seconds

To convert from meters per seconds to kilometers per hour :

1 kilometer = 1000 meters ⇒ 1 meters = 0.001 kilometer

1 hour = 3600 seconds ⇒ 1 second = 1/3600 hour

[tex]\frac{meter }{second } = \frac{0.001\ km }{(1 /3600) \ hour} =\frac{3600}{1000} \frac{km}{hour} = 3.6 \ km/hour[/tex]

So, 5x meters per seconds = 5x * 3.6 = 18 kilometers per hour

Answer 2

Final answer:

Calculate the speed of the stone in meters per second and kilometers per hour based on the given distance and time traveled.

Explanation:

The speed of the stone can be calculated as follows:

Speed in meters per second = Distance / Time = x / 0.2 seconds

Speed in kilometers per hour = (x / 0.2) * 3.6


Related Questions

Joey has 8 pairs of socks in his drawer. Five of them are white. What percent of colored socks does Joey have.

Answers

answer: 37.5%

explanation: if the rest of the socks are colored, then 3/8 of them are colored. 3/8 is 37.5%

LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 6x + 1 and MP = 9x-5

Answers

Final answer:

To find the value of x, set the two expressions for the lengths of the sides of the rectangle equal to each other and solve. The value of x is 2. To find the length of each diagonal, use the Pythagorean Theorem with the lengths of the sides of the rectangle. The length of each diagonal is 13 * sqrt(2).

Explanation:

To find the value of x, we can set the two expressions for the lengths of the sides of the rectangle equal to each other, since opposite sides of a rectangle are congruent. So, we have:

6x + 1 = 9x - 5

To solve for x, we can subtract 9x from both sides and add 5 to both sides:

1 + 5 = 9x - 6x

6 = 3x

x = 2

Therefore, the value of x is 2. To find the length of each diagonal, we can use the Pythagorean Theorem. The diagonal of a rectangle acts as the hypotenuse of a right triangle formed by the sides of the rectangle. In this case, the length of one side is 6x + 1, and the length of the other side is 9x - 5. So, the length of each diagonal is:

d = sqrt((6x + 1)^2 + (9x - 5)^2)

d = sqrt((6(2) + 1)^2 + (9(2) - 5)^2)

d = sqrt(13^2 + 13^2)

d = sqrt(2 * 13^2)

d = 13 * sqrt(2)

Last questions for my last 15 pts.

Answers

Step-by-step explanation:

[tex] {6}^{2} - 10 \\ = 36 - 10 \\ = 26 \\ so \: kurt \: forgot \: to \: write \: units \: place \: \\ number \: 6 \: after \: 2.[/tex]

the 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

Answers

Answer:

[tex]\large \boxed{2}[/tex]

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

[tex]\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}[/tex]

Check:

[tex]\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}[/tex]

It checks.

simply 11a+7+10a+3+12a+9 by combining like terms​

Answers

Answer: 33a+19

Step-by-step explanation:

11a+7+10a+3+12a+9

Collect like terms.

(11a+10a+12a)+(7+3+9)

Simplify.

33a+19

Answer:

33a+9

Step-by-step explanation:

11a+10a+12a= 33a

7+3+9= 19

BRAINLIEST PLUS POINTS
over the complete assessment period, Jenny averaged 35 out of a possible 40 marks for her eight math tests. When she was checking her files, she could find only seven of the test. For these she scored 29, 36, 32, 38, 35, 34 and 39. How many marks did she score for the eighth test?
Show full working out ty

Answers

37/40
bc (37+29+26+32+38+35+34+39)/8 = 35

Answer: 37

Step-by-step explanation:

Let X represents the score for the eighth test

Hence ( 29+36+32+38+35+34+39+X ) ÷8 =35

243+X /8 =35

243+X =35×8

243+X=280

X = 280-243

X= 37

Which statement decribes the ratio 13:8?
A
For every 8 red roses in a bouquet, there are 13 white roses.
B
For every 8 problems Nathan got correct, he got 13 incorrect.
C
For every 13 votes that Shawn received, Gayle received 21 votes.
D
For every 13 passes thrown to Harrison, he catches 8 of them.

Answers

Answer:

D

Step-by-step explanation:

that what I think but not sure

Answer:

D

Step-by-step explanation:

It is D because A would be 8:13, B would also be 8:13, and C would be 13:21. Also, we know that D is correct because for every 13 passes, Harrison catches 8 which is 13 to 8 or 13:8.

What is the difference of the two polynomials?

(92+8)–(22+3)

Answers

Answer:

75

Step-by-step explanation:

(92+8)-(22+3)

Add the terms inside of the parentheses because of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)

(100)-(25)

Then subtract 25 from 100

75

Mike and Sam Tun laps. Mike runs a lap in 5 minutes and Sam runs a lap in 6 minutes. If Mike and Sam begin running at the same time, after how many minutes will they cross the starting line at the same time?

Answers

Answer: 30 min.

Step-by-step explanation: for this, you have to find the gcf of 5 and 6, which is 30.

Final answer:

Mike and Sam will both cross the starting line together after 30 minutes of running, as 30 minutes is the least common multiple of their individual lap times of 5 and 6 minutes.

Explanation:

To find out how long it will take for Mike and Sam to cross the starting line together again, we need to determine the least common multiple (LCM) of their lap times. Mike runs a lap in 5 minutes and Sam runs a lap in 6 minutes. The LCM of 5 and 6 will give us the first time they both cross the starting line at the same time after they start running.

To calculate the LCM of 5 and 6, we list the multiples of each number until we find a common one:

5, 10, 15, 20, 25, 30, ...

6, 12, 18, 24, 30, ...

The smallest common multiple of 5 and 6 is 30. Therefore, Mike and Sam will both cross the starting line together after 30 minutes of running.

Finding the value of x
Use the given diagram to help answer the question.
Sam found a tent in his garage, and he needs to find
the center height. The sides are both 5 feet long, and
the bottom is 6 feet wide. What is the center height of
Sam's tent, to the nearest tenth?
X 3 feet
O
4 feet
5 feet
5 feet
5.5 feet
7.8 feet
6 feet
Intro
V Done​

Answers

Answer:

4ft

Step-by-step explanation:

A) This is a Pythagorean Triple.

B) 3^2 +x^2=5^2

9+x^2=25

x^2=16

x=4

Answer:

It is 4

Step-by-step explanation:

at a concession stand, seven hot dog(s) and four hamburger(s) cost $18.25; four hot dog(s) and seven hamburger(s) cost $17.50. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?

Answers

The cost of one hot dog is $1.75

The cost of one hamburger is $1.5

Step-by-step explanation:

Let,

The cost of hot dog be 'x'.The cost of hamburger be 'y'.

The equations can be formed as :

7x + 4y = 18.25  --------(1)

4x + 7y = 17.50  --------(2)

Multiply eq (1) by 4 and eq (2) by 7,

   28x + 16y = 73

- (28x + 49y = 122.5)

         - 33y = - 49.5

y = 49.5/33

y = 1.5

The cost of one hamburger is $1.5

Substitute y=1.5 in eq (1),

7x + 4(1.5) = 18.25

7x = 18.25 - 6

x = 12.25/7

x = 1.75

The cost of one hot dog is $1.75

What’s the horizontal line and vertical line?-use X=blank and Y=blank.

Answers

Answer:

Part 1) Vertical line : [tex]x=1[/tex]

Part 2) Horizontal line :  [tex]y=-4[/tex]

Step-by-step explanation:

Part 1) Write the equation for the vertical line passing through the point (1,-4)

we know that

The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it

so

The x-coordinate is 1

therefore

The equation of the line is

[tex]x=1[/tex]

Part 2) Write the equation for the horizontal line passing through the point (1,-4)

we know that

The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it

so

The y-coordinate is -4

therefore

The equation of the line is

[tex]y=-4[/tex]

What’s 5x divided by 6=20

Answers

Answer:

24

Step-by-step explanation:

5x/6=20

Multiple 20 by 6 then you get 120.

Then divide 120 by 5 which is 24.

Answer:

x = 24

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

What is the length and width of a rectangle given by the trinomial r squared - 6r- 55? Use factoring

Answers

The length of the rectangle is 11 units

The width of the rectangle is 5 units.

Explanation:

The equation of the trinomial is [tex]r^{2}-6 r-55[/tex]

We need to find the length and the width of the rectangle.

The length and width of the rectangle can be determined by factoring the trinomial [tex]r^{2}-6 r-55=0[/tex]

Factoring using the quadratic formula, we have,

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

where [tex]a=1, b=-6[/tex] and [tex]c=-55[/tex]

Substituting these in the above formula, we have,

[tex]r=\frac{-(-6) \pm \sqrt{(-6)^{2}-4 \cdot 1(-55)}}{2 \cdot 1}[/tex]

[tex]r=\frac{6\pm \sqrt{36+220}}{2}[/tex]

[tex]r=\frac{6\pm \sqrt{256}}{2}[/tex]

[tex]r=\frac{6\pm 16}{2}[/tex]

Hence, the two roots of the trinomial are

[tex]r=\frac{6+ 16}{2}[/tex] and [tex]r=\frac{6- 16}{2}[/tex]

Solving [tex]r=\frac{6+ 16}{2}[/tex] , we get,

[tex]r=\frac{22}{2}[/tex]

[tex]r=11[/tex]

Solving [tex]r=\frac{6- 16}{2}[/tex] , we get,

[tex]r=\frac{-10}{2}[/tex]

[tex]r=-5[/tex]

Thus, the solutions of the trinomial are 11 and -5

Since, the length of the rectangle is larger than the width, the length of the rectangle is 11 units.

Also, the width of the rectangle cannot be negative.

Thus, ignoring the negative sign, we have, [tex]r=5[/tex]

Hence, the width of the rectangle is 5 units.

what is c- 1/2 + 16=36

Answers

Answer:

20 1/2

Step-by-step explanation:

its 20 and a half because 16+20=36 and you just need to add a half to 20 since your taking it away

Answer:

c=20.5 or 41/2

Step-by-step explanation:

c- 1/2 + 16=36

Make C the subject

c=36-16+1/2

c=20+1/2

Using LCM

c=(40+1)/2

c=41/2

c=20.5

To check if we are correct, we substitute c with 41/2. and then both sides of the equation must be equal

c- 1/2 + 16=36

41/2-1/2+16=36

20+16=36

36=36

Which best describes the following equation of 3 (5x + 8) =4 (6x + 9)

Answers

Answer:

x = -4/3

Step-by-step explanation:

Step 1:  Distribute

3(5x + 8) = 4(6x + 9)

15x + 24 = 24x + 36

Step 2:  Subtract 15x from both sides

15x + 24 - 15x = 24x + 36 - 15x

24 = 9x + 36

Step 3:  Subtract 36 from both sides

24 - 36 = 9x + 36 - 36

-12 = 9x

Step 4:  Divide both sides by 9

-12 / 9 = 9x / 9

-4/3 = x

Answer:  x = -4/3

give the degree of the polynomial
-3w+x^6y^5-2+5y^4w^3x^2

Answers

Answer:

Here the degree of the polynomial is 11.

Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables.   So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial [tex]-3w+x^6y^5-2+5y^4w^3x^2[/tex]

the term with the highest total powers is [tex]x^6y^5[/tex] and thus the total power is 6+5=11.

And hence the degree of this polynomial is 11.

Oscar bought several bags of lemon drop candy and several bags of jelly beans. The number of bagsof beans was 5 more than the number of bags of lemon drops. Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each. The total weight of all the bags of candy was 400 ounces.


A. Write and solve a system of equations that allows you to solve for how many bags of each candy Oscar bought Show all of your

Answers

Answer:

A system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively

Step-by-step explanation:

Let x be the number of bags of lemon drops

We are given that The number of bags of beans was 5 more than the number of bags of lemon drops

So, The number of bags of beans =x+5

Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each.

So, Weight of x bags of lemon drops = 16x

So, Weight of (x+5) bags of lemon drops = 8(x+5)

The total weight of all the bags of candy was 400 ounces.

So, [tex]16x+8(x+5)=400[/tex]

[tex]16x+8x+40=400[/tex]

[tex]24x+40=400[/tex]

[tex]24x=360[/tex]

[tex]x=\frac{360}{24}[/tex]

x= 15

The number of bags of lemon drops are 15

The number of bags of beans =x+5 =15+5=20

Hence a system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively

Can this be simplified?

Answers

Answer:

0.2+sqrt3/10

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, if I'm reading it correctly, it could be simplified to (1/5)+(sqrt3/10) or 0.2+sqrt3/10.

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

How can I solve 8 5/6 - 2 1/3=

Answers

You turn 8 5/6 and 2 1/3 into improper fractions (8 5/6 becomes 53/6 and 2 1/3 becomes 7/3)

Then you take 53/6 and 7/3 and find a common denominator which is 6
Then you multiply 7x2 and 3x2 which equals to 14/6

53/6 - 14/6 is 39/6
You can leave it as 39/6 or change it into a mixed number, if you make it a mixed number then you would get 6 3/6 which is equivalent to 6 1/2.
There is another method than what the other user has pointed out (both are valid and are up to personal preference as to which are better)

For this method you need to make sure that both the denominators are the same.

(See attached image)

I hope this makes sense!

As a summary; you must make sure that both denominators of the fractions are the same. Whatever number you multiply by for the denominator, use also for the numerator.

ERICA WROTE 5 added to y as 5+y and 5 subtracted from y as 5-y.why is the expression correct but the second one incorrect? when is order important in writing an expression?
please help me.....

Answers

Answer:

Step-by-step explanation:

Order is impotant since you could easily make a positve number negative and vice versa. You switch the order of 5 subtracted by y to y-5.

James drove 6 miles
south and then 3 miles
west. How far is he
from his starting point?

Answers

Answer:

9

Step-by-step explanation:

because 3+6=9 so he is 9 miles from his starting point

pookie weighs 12 7/8 pounds. Rascal weighs 13 3/8 pounds. what is totals weight of both cats


Answers

Answer:

26.25

Step-by-step explanation:

What’s the algebraic expression for 8 squared

Answers

Answer:

[tex]8^2[/tex]

Step-by-step explanation:

Step 1:  Convert words into an expression

What’s the algebraic expression for 8 squared

8 squared -> [tex]8^2[/tex]

Answer:  [tex]8^2[/tex]

If needed, solve:

[tex]8^2[/tex]

8 * 8

64

A satellite views the earth at an angle of 20°. What is the arc measure, x, that the satellite can see?

Answers

Answer:

The measure of the arc is 160 degrees

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measure of the external angle is the semi-difference of the arches it covers.

so

[tex]20^o=\frac{1}{2}[(360-x)^o-x^o][/tex]

solve for x

[tex]40^o=360^o-2x[/tex]

[tex]2x=360^o-40^o\\2x=320^o\\x=160^o[/tex]

Final answer:

The arc measure that the satellite can see is 20°.

Explanation:

An arc measure is the central angle that corresponds to a given arc on a circle. In this case, the satellite views the earth at an angle of 20°. The arc measure that the satellite can see is also 20°.

Learn more about Arc measure of a satellite here:

https://brainly.com/question/33802037

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Charlene is 8 years older than Aaron. The sum of their ages is 44. What are
their ages?

Answers

Answer: charlene:52, aaron:44

Step-by-step explanation:

Add 8 to aarons age and you find your answer

Answer:

Aaron is 18 years old

Charlene is 26 years old

Step-by-step explanation:

Aaron = A

Charlene = 8 + A

Aaron + Charlene = 44

Substitute

A + 8 + A = 44

Simplify

2A + 8 = 44

Subtract 8 from both sides of the equation

2A = 36

Divide by 2

A = 18

C = 26

Hope this was useful to you!

6. An equilateral triangular pyramid has a slant height of 8.3 inches. The
triangular base has a perimeter of 4.8 inches and an area of 1.1 square
inches. Find the surface area of the pyramid.

Answers

the surface area of the equilateral triangular pyramid is approximately 21.03 square inches.

Let's calculate the surface area of the pyramid.

The lateral area of the pyramid, which is the sum of the areas of the three triangular faces, can be calculated using the formula:

[tex]\[ LA = \frac{1}{2} \times \text{perimeter of the base} \times \text{slant height} \][/tex]

We've already determined the perimeter of the base is 4.8 inches and the slant height is 8.3  inches. Substituting these values:

[tex]\[ LA = \frac{1}{2} \times 4.8 \times 8.3 = 19.92 \text{ square inches} \][/tex]

However, this only gives us the lateral area. To find the total surface area, we need to add the area of the base. Since it's an equilateral triangle, we can use the area formula for equilateral triangles:

[tex]\[ A_{\text{base}} = \frac{\sqrt{3}}{4} \times (\text{side length})^2 \][/tex]

The side length is [tex]\( \frac{4.8}{3} = 1.6 \)[/tex] inches, so:

[tex]\[ A_{\text{base}} = \frac{\sqrt{3}}{4} \times (1.6)^2 = \frac{\sqrt{3}}{4} \times 2.56 \approx 1.1084 \text{ square inches} \][/tex]

The total surface area is then the sum of the lateral area and the area of the base:

[tex]\[ SA = LA + A_{\text{base}} = 19.92 + 1.1084 = 21.0284 \text{ square inches} \][/tex]

Thus, the surface area of the equilateral triangular pyramid is approximately 21.03 square inches.

The question probable maybe:

An equilateral triangular pyramid has a slant height of 8.3 inches. The triangular base has a perimeter of 4.8 inches and an area of 1.1084 square inches. Find the surface area of the pyramid.

Plz help ASAP :))))


David is planning a party outside. He googles the weather for that particular day and it says there is a 58% chance of rain. Is it likely to rain or not likely to rain?

A:likely

B:Not likely

Answers

Answer:

It would be A:likely

Step-by-step explanation:

let's take rounding decimals for example; when you 5.86 and you were rounding to the nearest tenth it would be 5.9. That is because the 6 is greater than 5, so for the weather the highest the percentage it can be is 100% and 50% is half and since it is more than half then it would be more likely.

6. Margit works in a factory. She receives a salary of $15 per hour and piecework pay of 17 cents per
unit produced. Last week she worked 38 hours and produced 755 units.
a) What was her piecework pay?

Answers

Answer:

755*17 cents=12835 cents= 128.35$

Step-by-step explanation:

Final answer:

Margit's piecework pay is calculated by multiplying the number of units she produced (755 units) by the pay she receives per unit (17 cents). Therefore, her piecework pay was $128.35 for last week.

Explanation:

To find out Margit's piecework pay, we need to multiply the number of units she produced by the pay she receives per unit. In this case, Margit produced 755 units and she earns 17 cents per unit. So, her piecework pay is calculated as follows: 755 units * $0.17/unit.

Therefore, Margit's piecework pay for last week was $128.35.

Learn more about Piecework Pay here:

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Which values are solutions to the inequality below? Check all that apply.

Answers

Answer:

b,d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that

x²>18

So, let take the square root of both sides

Then,

√x²>√18

x> ± 4.24

So it is either

x>4.24 or x<-4.24

Either of the two will gives a square higher than 18. You should note that the square of any number is always positive.

The applicable answer are

A. 5

Because

5²=25 which is greater than 18

D. 8

Because

8²= 64 which is greater than 18

F. -18

Because

(-18)²=-18×-18=324 which is greater than 18.

Note : -×-=+

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