Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 meter head start. How long will it take for elene to catch abbi?

Answers

Answer 1

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the  time be t  seconds taken by Elene to  catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

distance covered by Elene in time t =  3m/s * t = 3t m  -->equation Adistance covered by Abbi in time t =  2m/s* t = 2t m  --> equation B

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.


Related Questions

-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me

Answers

Answer:

-9 and 1/2

Step-by-step explanation:

just plug them in the calculator

Answer:

-2 1/4

Step-by-step explanation:

I converted these to decimals and did the equation from there.

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle, accident investigators can estimate the speed of the car. To find the radius, accident investigators choose points A and B on the tire marks. Then, the investigators find the midpoint C of AB¯¯¯¯¯¯¯¯. Use the diagram to find the radius r of the circle. Round your answer to the nearest tenth.

Answers

Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being  =  +

To find segment CE, you would do r-70

So,  =  +

= 16,900 +  -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

Select all the equations that are equivalent to the given equation. 1/5 (t + 2) = 5/6
1/5 t + 2/5 = 5/6
1/5 t = 7/10
1/5 t + 7 = 5/6
t = 2 1/6
t = 3 1/2

plz this question is worth 50 ponits

Answers

Answer:

t = 2 1/6

1/5 t + 2/5 = 5/6

Step-by-step explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6  ( using the same denominator)

t = 13/6 = 2 1/6

We can also distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get a common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6

ANSWER : t = 2 1/6

1/5 t + 2/5 = 5/6

Step-by-step explanation:

1/5 (t + 2) = 5/6

Multiply each side by 5

t+2 = 5*5/6

t+2 = 25/6

Subtract 2 from each side

t+2 -2 = 25/6 -12/6

t = 13/6 = 2 1/6

We can distribute

1/5 t + 2/5 = 5/6

Subtract 2/5 from each side

1/5t = 5/6 -2/5

Get common denominator

1/5t =25/30 - 12/30

1/5t = 13/30

Multiply each side by 5

t = 13/30 *5

t = 13/6

What is the area of the shaded region to the nearest tenth of a foot?

Answers

It would be 294 because you are multiplying them together

I need help please!!!

Answers

Mane ion bout all that

3(q+ 4/3)=2 solve for q

Answers

Answer:

-2/3

Step-by-step explanation:

multiply by 3

= 3q+4=2

subtract the 4

= 3q=-2

q= -2/3

Answer:

-2/3

Step-by-step explanation:

Find the measure of arc BGF

Answers

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

what is the distance between the pair of points.

(3, 3) and (3, −5)

Answers

Answer: 8

Step-by-step explanation:

So the right answer is 8units

Look at the attached picture

hope it will help you...

Good luck on your assignment

Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23

Answers

Answer

D because i had it before

Answer:

B

Step-by-step explanation:

You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.

Hope this helps.

Question 1
(01.01 LC)

Which of the following is a rational number? (1 point)

square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices

square root of 48

square root of 49

square root of 50

square root of 51

Answers

Answer:

49

Step-by-step explanation:

7 is rational and it's the square root of 49.

Answer:

[p

Step-by-step explanation:

Question 10(Multiple Choice Worth 5 points)

(01.01 LC)

Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

square root of 15

square root of 16

square root of 17

square root of 18

what is the probability of spinning different numbers when the spinner below is spun twice​

Answers

Answer:

25%

Step-by-step explanation:

A number that is at most 60

Answers

Answer:

60

Step-by-step explanation:

Answer:

60>x

Step-by-step explanation:

there is the line under the greater than sign

The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?

Answers

Answer:

9.5

Step-by-step explanation:

Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.


Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points

Answers

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.

Answers

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

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

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

you can choose more than 1

Answers

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?

Answers

Answer:

No

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]

PLS HELP NEED TO PASS TEST <3!!!!
find the surface area of the cylinder to the nearest whole number. the figure is not drawn to scale.

905 in^2
1,282 in^2
2,187 in^2
7,691 in^2

Answers

Answer:

[tex]A=2\pi rh+2\pi r^2=2*\pi *12*17+2*\pi *12^2= 2187in^2[/tex]

Step-by-step explanation:

Answer:

2,187 in^2

Step-by-step explanation:

A=2πrh+2πr^2

=2·π·12·17+2·π·12^2

≈2186.54849

Find the missing values (4,16) and (x,24)

Answers

Answer:

(6, 24)

Step-by-step explanation:

PLEASE HELP!!!

I don't understand....
If possible, please explain!

Answers

I strongly believe it’s SAS

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

What is the simplest form of this expression y2 (3y + 4) + 5y3

Answers

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

What is the next term of the geometric sequence?
54,36, 24, _____
Can someone please explain this to me?

Answers

Answer:

16

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.

anyone ? please help out

Answers

Answer:

1:>

2:>

3:>

Step-by-step explanation:

Answer:

-5    >    -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.

-6  >   -8     -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.

6  >  -11   6 is greater than -11 because 6 is a positive number and -11 is a negative number.

Dont forget to mark brainliest please!

5. The longest leg of a right triangle is 8 meters and another side is 6 meters. Calculate the
perimeter. 5

Answers

Answer:

24 meters

Step-by-step explanation:

Alright. Your question had errors, but I managed to scramble together some answers.

The right triangle has a total of 3 sides, 2 which are 8 and 6. We need to find the hypotenuse.

Let's use the Pythagorean Theorum.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = 100

To get c by itself, square root it.

[tex]\sqrt{100} =10[/tex]

You found the hypotenuse :D

Add it up!

8 + 6 + 10 = 24 meters

Answer:

Remember this formula.

Step-by-step explanation:

[tex]\sqrt{a^{2}+b^{2}=c^{2}[/tex]

If your legs are 8 and 6, the last side is the hypotenuse, which is always the largest side of a right triangle. You calculate it's length by taking the measurements of leg A and leg B, and squaring both of them, or raising them both by the power of 2.

This will equal C, or your hypotenuse, but it will be squared, so you have to find its square root to get the actual measurement, which is why the equation has a square root sign over it, so the answer is automatically squared when put into a calculator.

8 x 8 = 64 [or [tex]8^{2}[/tex]]

6 x 6 = 36 [or [tex]6^{2}[/tex]]

[tex]8^{2}+6^{2}=100\\\sqrt{100}=10[/tex]

[tex]\sqrt{8^{2}+6^{2}=10[/tex]

Please help with this

Answers

Answer:

B

Step-by-step explanation:

I used the quadratic formula

Answer:

B

Step-by-step explanation:

Given

(x + 5)² = 48 ( take the square root of both sides )

x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )

x = - 5 ± 4[tex]\sqrt{3}[/tex] → B

Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm

Answers

Answer:

5089.38 cm OR 1620π

Step-by-step explanation:

The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!

Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.

The volume of a cylinder can be calculated by the formula:

= π x radius² x height

Solving will give:

= π x 9² x 20

= π x 81 x 20

= 5,091.43 cm³

In conclusion, the volume is 5,091.43 cm³

Find out more at https://brainly.com/question/15460773.

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)

Answers

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:

Pls help 100 points


Consider this dilation.

(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b)
What is the scale factor? Explain.

Answers

The letters M,S,V are the original image.

The letters M’, S’, V’ are the displayed image.

You can see that M’, S’,V’ is a smaller image, so it was a reduction.

The length of line MS is 9 units.

The length of M’S’ is 6 units.

The dialation is 6/9 = 2/3

Answer:

(a) reduction

(b) 2/3

Step-by-step explanation:

(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.

(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.

So, the scale factor is: 6 / 9 = 2/3.

Math question down below

Answers

Answer:

answer is E

Step-by-step explanation:

Answer:

Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)

Step-by-step explanation:

A. 2 x [tex]\frac{1}{9}[/tex] =  [tex]\frac{2}{9}[/tex] (incorrect)

B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)

C. 2 ÷ 9 = 0.22 (incorrect)

D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)

E. 9 ÷ 2 = 4.5 (correct)

Other Questions
check out the square pyramid Based on the law of conservation of energy hiw can we reasonably improve a machines ability to do work What does the constant 2.2 in L(D) represent? last question, please help. If f(x)=5x23x+8, find f(0) Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7) Using the distributive law, work outthe solution for the following:87 x 63 + 87 x 37 PLEASE HELP I WILL BE GIVING THE BRAINLIEST AND 15 POINTS!!!!!!!!Liam knew that all living things have common characteristics. His new baby brother made him think about how different all the types of living things were. Which of the following is not a common characteristic shared by all living things?A.made of a cell or cellsB.made of similar chemicalsC.respond to surroundingsD.spontaneously generate What is the best way to change this sentence from passive voice to active voice? The multitalented guitarist, Francisco, was chosen by the band to be their lead singer. A. Chosen was the multitalented guitarist Francisco, by the band, to be their lead singer. B. The band chose the multitalented guitarist Francisco to be their lead singer. C. Francisco, the multitalented guitarist, was chosen by the band to be their lead singer. D. Francisco, the multitalented guitarist, was chosen, by the band, to be their lead singer. hi english expert pls answer asap pls give me 20 phrasial expresssions asap pls do not use internet Okay so i have to write a poem for world history and I am really bad with writing. Its about world war 1 and 2. can someone please help me out! 17 points and brainley answer if someone can help me. A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen? During your vacation, which activities would you like to do? Select all that apply.A-skiing and snowboardingB-water sports, like snorkeling and boatingC-hikingD-relaxing on a beachE-visiting national parks and landmarksF-shopping in a big cityG-visiting cultural sites Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply. (3, 5) (1, 5) (3, 2) (3, 2) (5, 1) Potassium is a crucial element for the healthy operation of the humanbody. Potassium occurs naturally in our environment (and thus ourbodies) as three isotopes: Potassium-39, Potassium-40, and Potassium-41. Their current abundances are 93.26%, 0.012% and 6.728%. A typicalhuman body contains about 3.0 grams of Potassium per kilogram of bodymass.1. How much Potassium-40 is present in a person with a mass of 80kg?2. If, on average, the decay of Potassium-40 results in 1.10 MeV ofenergy absorbed, determine the effective dose (in Sieverts) per yeardue to Potassium-40 in an 80-kg body. Assume an RBE of 1.2. Thehalf-life of Potassium-40 is 1.28 x 10 years. Solve.-6x^2 - 2 - 3x=-8a)x=5+5716b)x=-4+343c)x=-7+34116d)x=1+17-4 which best describes the diameter of a circle The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers, how many right handers are there? (WILL GIVE BRAINLIEST) Write a rally speech that might have been delivered somewhere in Europe for Greek independence. Urge the country's leaders to help the Greeks in their struggle for independence from the Ottoman Empire. Your speech should be at least 200 words and use details from the lesson that you learned. Consider the following: The connections of Greece to Europeans Reasons to support Greek revolutionaries The cause of democracy When was Harlem founded?O1658O1558O1458O1358